---
OA_place: publisher
OA_type: diamond
_id: '20668'
abstract:
- lang: eng
  text: "The Message Layer Security (MLS) protocol has recently been standardized
    by the IETF. MLS is a scalable secure group messaging protocol expected to run
    more efficiently compared to the Signal protocol at scale, while offering a similar
    level of strong security. Even though MLS has undergone extensive examination
    by researchers, the majority of the works have focused on confidentiality.\r\n\r\nIn
    this work, we focus on the authenticity of the application messages exchanged
    in MLS. Currently, MLS authenticates every application message with an EdDSA signature
    and while manageable, the overhead is greatly amplified in the post-quantum setting
    as the NIST-recommended Dilithium signature results in a 40x increase in size.
    We view this as an invitation to explore new authentication modes that can be
    used instead. We start by taking a systematic view on how application messages
    are authenticated in MLS and categorize authenticity into four different security
    notions. We then propose several authentication modes, offering a range of different
    efficiency and security profiles. For instance, in one of our modes, COSMOS++,
    we replace signatures with one-time tokens and a MAC tag, offering roughly a 75x
    savings in the post-quantum communication overhead. While this comes at the cost
    of weakening security compared to the authentication mode used by MLS, the lower
    communication overhead seems to make it a worthwhile trade-off with security."
acknowledgement: This research was partially supported by JST CREST JPMJCR22M1, Japan
  and funded by the European Union’s Horizon 2020 research and innovation programme
  under the Marie Skłodowska-Curie Grant Agreement No.665385.
article_processing_charge: No
author:
- first_name: Keitaro
  full_name: Hashimoto, Keitaro
  last_name: Hashimoto
- first_name: Shuichi
  full_name: Katsumata, Shuichi
  last_name: Katsumata
- first_name: Guillermo
  full_name: Pascual Perez, Guillermo
  id: 2D7ABD02-F248-11E8-B48F-1D18A9856A87
  last_name: Pascual Perez
  orcid: 0000-0001-8630-415X
citation:
  ama: 'Hashimoto K, Katsumata S, Pascual Perez G. Exploring how to authenticate application
    messages in MLS: More efficient, post-quantum, and anonymous blocklistable. In:
    <i>34th Usenix Security Symposium</i>. Usenix Association; 2025:6699-6716.'
  apa: 'Hashimoto, K., Katsumata, S., &#38; Pascual Perez, G. (2025). Exploring how
    to authenticate application messages in MLS: More efficient, post-quantum, and
    anonymous blocklistable. In <i>34th Usenix Security Symposium</i> (pp. 6699–6716).
    Seattle, WA, USA: Usenix Association.'
  chicago: 'Hashimoto, Keitaro, Shuichi Katsumata, and Guillermo Pascual Perez. “Exploring
    How to Authenticate Application Messages in MLS: More Efficient, Post-Quantum,
    and Anonymous Blocklistable.” In <i>34th Usenix Security Symposium</i>, 6699–6716.
    Usenix Association, 2025.'
  ieee: 'K. Hashimoto, S. Katsumata, and G. Pascual Perez, “Exploring how to authenticate
    application messages in MLS: More efficient, post-quantum, and anonymous blocklistable,”
    in <i>34th Usenix Security Symposium</i>, Seattle, WA, USA, 2025, pp. 6699–6716.'
  ista: 'Hashimoto K, Katsumata S, Pascual Perez G. 2025. Exploring how to authenticate
    application messages in MLS: More efficient, post-quantum, and anonymous blocklistable.
    34th Usenix Security Symposium. USENIX: Security Symposium, 6699–6716.'
  mla: 'Hashimoto, Keitaro, et al. “Exploring How to Authenticate Application Messages
    in MLS: More Efficient, Post-Quantum, and Anonymous Blocklistable.” <i>34th Usenix
    Security Symposium</i>, Usenix Association, 2025, pp. 6699–716.'
  short: K. Hashimoto, S. Katsumata, G. Pascual Perez, in:, 34th Usenix Security Symposium,
    Usenix Association, 2025, pp. 6699–6716.
conference:
  end_date: 2025-08-15
  location: Seattle, WA, USA
  name: 'USENIX: Security Symposium'
  start_date: 2025-08-13
corr_author: '1'
cryptoeprintid: 1
das_tickbox: '1'
date_created: 2025-11-23T23:01:40Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2026-09-07T11:37:56Z
day: '01'
ddc:
- '000'
ec_funded: 1
external_id:
  cryptoeprintid:
  - 2025/426
file:
- access_level: open_access
  checksum: fcfe8851aeb751af98c0b1335a0ef149
  content_type: application/pdf
  creator: dernst
  date_created: 2025-11-24T07:44:08Z
  date_updated: 2025-11-24T07:44:08Z
  file_id: '20671'
  file_name: 2025_Usenix_Hashimoto.pdf
  file_size: 710733
  relation: main_file
  success: 1
file_date_updated: 2025-11-24T07:44:08Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2025/426
month: '01'
oa: 1
oa_version: Published Version
page: 6699-6716
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: 34th Usenix Security Symposium
publication_identifier:
  isbn:
  - '9781939133526'
publication_status: published
publisher: Usenix Association
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Exploring how to authenticate application messages in MLS: More efficient,
  post-quantum, and anonymous blocklistable'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: publisher
OA_type: free access
_id: '22774'
abstract:
- lang: eng
  text: We consider the problem of certifying the feasibility of a (possibly degenerate)
    semidefinite programming problem represented by rational input data together with
    a numerical solution that is guaranteed to be sufficiently close to an exact solution
    of maximal rank. Our method constructs a polynomial system whose set of real solutions
    has an isolated point that satisfies the input program. An experimental comparison
    between the corresponding symbolic-numerical algorithm and the purely symbolic
    algorithm from [3, 5] shows that the hybrid algorithm is able to certify instances
    where the exact method fails.
acknowledgement: "This extended abstract is based on the paper [7], accepted for publication
  at SIAM\r\nJ. Opt. on April 22, 2025, to which we refer for technical details and
  complete proofs. This work has been\r\nsupported by the Doctoral Programme Vienna
  Graduate School on Computational Optimization (VGSCO)\r\nwhich was funded by FWF
  (Austrian Science Fund), project W 1260-N35, and partially supported by the\r\nANR
  JCJC project ANR-21-CE48-0006-01 “HYPERSPACE”.\r\n"
article_processing_charge: No
article_type: original
author:
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Simone
  full_name: Naldi, Simone
  last_name: Naldi
- first_name: Jeferson
  full_name: Zapata, Jeferson
  id: 00223538-AF8F-11E9-A4C7-F729E6697425
  last_name: Zapata
citation:
  ama: Kolmogorov V, Naldi S, Zapata J. Certifying solutions of degenerate semidefinite
    programs. <i>ACM Communications in Computer Algebra</i>. 2025;59(4):147-152. doi:<a
    href="https://doi.org/10.1145/3832046.3832063">10.1145/3832046.3832063</a>
  apa: Kolmogorov, V., Naldi, S., &#38; Zapata, J. (2025). Certifying solutions of
    degenerate semidefinite programs. <i>ACM Communications in Computer Algebra</i>.
    ACM. <a href="https://doi.org/10.1145/3832046.3832063">https://doi.org/10.1145/3832046.3832063</a>
  chicago: Kolmogorov, Vladimir, Simone Naldi, and Jeferson Zapata. “Certifying Solutions
    of Degenerate Semidefinite Programs.” <i>ACM Communications in Computer Algebra</i>.
    ACM, 2025. <a href="https://doi.org/10.1145/3832046.3832063">https://doi.org/10.1145/3832046.3832063</a>.
  ieee: V. Kolmogorov, S. Naldi, and J. Zapata, “Certifying solutions of degenerate
    semidefinite programs,” <i>ACM Communications in Computer Algebra</i>, vol. 59,
    no. 4. ACM, pp. 147–152, 2025.
  ista: Kolmogorov V, Naldi S, Zapata J. 2025. Certifying solutions of degenerate
    semidefinite programs. ACM Communications in Computer Algebra. 59(4), 147–152.
  mla: Kolmogorov, Vladimir, et al. “Certifying Solutions of Degenerate Semidefinite
    Programs.” <i>ACM Communications in Computer Algebra</i>, vol. 59, no. 4, ACM,
    2025, pp. 147–52, doi:<a href="https://doi.org/10.1145/3832046.3832063">10.1145/3832046.3832063</a>.
  short: V. Kolmogorov, S. Naldi, J. Zapata, ACM Communications in Computer Algebra
    59 (2025) 147–152.
corr_author: '1'
date_created: 2026-08-30T22:01:44Z
date_published: 2025-12-01T00:00:00Z
date_updated: 2026-09-09T08:17:05Z
day: '01'
department:
- _id: VlKo
doi: 10.1145/3832046.3832063
external_id:
  unknown:
  - '2405.13625'
fulldoi: https://doi.org/10.1145/3832046.3832063
intvolume: '        59'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1145/3832046.3832063
month: '12'
oa: 1
oa_version: Published Version
page: 147-152
project:
- _id: 9B9290DE-BA93-11EA-9121-9846C619BF3A
  grant_number: W1260-N35
  name: Vienna Graduate School on Computational Optimization
publication: ACM Communications in Computer Algebra
publication_identifier:
  eissn:
  - 1932-2240
  issn:
  - 1932-2232
publication_status: published
publisher: ACM
scopus_import: '1'
status: public
title: Certifying solutions of degenerate semidefinite programs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 59
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '22826'
abstract:
- lang: eng
  text: "Large Language Models (LLMs) have demonstrated the ability to tackle increasingly
    complex tasks through advanced reasoning, long-form content generation,\r\nand
    tool use. Solving these tasks often involves long inference-time computations.\r\nIn
    human problem solving, a common strategy to expedite work is collaboration: by\r\ndividing
    the problem into sub-tasks, exploring different strategies concurrently, etc.\r\nRecent
    research has shown that LLMs can also operate in parallel by implementing\r\nexplicit
    cooperation frameworks, such as voting mechanisms or the explicit creation of
    independent sub-tasks that can be executed in parallel. However, each of\r\nthese
    frameworks may not be suitable for all types of tasks, which can hinder their\r\napplicability.
    In this work, we propose a different design approach: we run LLM\r\n“workers”
    in parallel , allowing them to synchronize via a concurrently-updated\r\nattention
    cache and prompt these workers to decide how best to collaborate. Our\r\napproach
    allows the LLM instances to come up with their own collaboration strategy for
    the problem at hand, all the while “seeing” each other’s memory in the\r\nconcurrent
    KV cache. We implement this approach via Hogwild! Inference: a\r\nparallel LLM
    inference engine where multiple instances of the same LLM run in\r\nparallel with
    the same attention cache, with “instant” access to each other’s memory.1 Hogwild!
    Inference takes advantage of Rotary Position Embeddings (RoPE)\r\nto avoid recomputation
    while improving parallel hardware utilization. We find that\r\nmodern reasoning-capable
    LLMs can perform inference with shared Key-Value\r\ncache out of the box, without
    additional fine-tuning."
acknowledgement: "We thank Vladimir Malinovskii for his help with brainstorming, helpful\r\nfeedback
  and suggesting future work directions. We also thank Philip Zmushko for proofreading."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
author:
- first_name: Gleb
  full_name: Rodionov, Gleb
  last_name: Rodionov
- first_name: Roman
  full_name: Garipov, Roman
  last_name: Garipov
- first_name: Alina
  full_name: Shutova, Alina
  last_name: Shutova
- first_name: George
  full_name: Yakushev, George
  last_name: Yakushev
- first_name: Erik
  full_name: Schultheis, Erik
  id: 2786b299-e6b0-11f0-91da-9243fe3ef96b
  last_name: Schultheis
- first_name: Vage
  full_name: Egiazarian, Vage
  id: 77451e76-92b2-11ef-a4d1-8dbaa06e16ad
  last_name: Egiazarian
- first_name: Anton
  full_name: Sinitsin, Anton
  last_name: Sinitsin
- first_name: Denis
  full_name: Kuznedelev, Denis
  last_name: Kuznedelev
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Rodionov G, Garipov R, Shutova A, et al. Hogwild! Inference: Parallel LLM
    generation via concurrent attention. In: <i>39th Conference on Neural Information
    Processing Systems</i>. Vol 38. Neural Information Processing Systems Foundation;
    2025:52014-52055. doi:<a href="https://doi.org/10.52202/085713-1551">10.52202/085713-1551</a>'
  apa: 'Rodionov, G., Garipov, R., Shutova, A., Yakushev, G., Schultheis, E., Egiazarian,
    V., … Alistarh, D.-A. (2025). Hogwild! Inference: Parallel LLM generation via
    concurrent attention. In <i>39th Conference on Neural Information Processing Systems</i>
    (Vol. 38, pp. 52014–52055). San Diego, CA, United States: Neural Information Processing
    Systems Foundation. <a href="https://doi.org/10.52202/085713-1551">https://doi.org/10.52202/085713-1551</a>'
  chicago: 'Rodionov, Gleb, Roman Garipov, Alina Shutova, George Yakushev, Erik Schultheis,
    Vage Egiazarian, Anton Sinitsin, Denis Kuznedelev, and Dan-Adrian Alistarh. “Hogwild!
    Inference: Parallel LLM Generation via Concurrent Attention.” In <i>39th Conference
    on Neural Information Processing Systems</i>, 38:52014–55. Neural Information
    Processing Systems Foundation, 2025. <a href="https://doi.org/10.52202/085713-1551">https://doi.org/10.52202/085713-1551</a>.'
  ieee: 'G. Rodionov <i>et al.</i>, “Hogwild! Inference: Parallel LLM generation via
    concurrent attention,” in <i>39th Conference on Neural Information Processing
    Systems</i>, San Diego, CA, United States, 2025, vol. 38, pp. 52014–52055.'
  ista: 'Rodionov G, Garipov R, Shutova A, Yakushev G, Schultheis E, Egiazarian V,
    Sinitsin A, Kuznedelev D, Alistarh D-A. 2025. Hogwild! Inference: Parallel LLM
    generation via concurrent attention. 39th Conference on Neural Information Processing
    Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information
    Processing Systems, vol. 38, 52014–52055.'
  mla: 'Rodionov, Gleb, et al. “Hogwild! Inference: Parallel LLM Generation via Concurrent
    Attention.” <i>39th Conference on Neural Information Processing Systems</i>, vol.
    38, Neural Information Processing Systems Foundation, 2025, pp. 52014–55, doi:<a
    href="https://doi.org/10.52202/085713-1551">10.52202/085713-1551</a>.'
  short: G. Rodionov, R. Garipov, A. Shutova, G. Yakushev, E. Schultheis, V. Egiazarian,
    A. Sinitsin, D. Kuznedelev, D.-A. Alistarh, in:, 39th Conference on Neural Information
    Processing Systems, Neural Information Processing Systems Foundation, 2025, pp.
    52014–52055.
conference:
  end_date: 2025-12-07
  location: San Diego, CA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2025-12-02
das_tickbox: '0'
date_created: 2026-09-06T22:01:59Z
date_published: 2025-12-02T00:00:00Z
date_updated: 2026-09-10T07:06:31Z
day: '02'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.52202/085713-1551
fulldoi: https://doi.org/10.52202/085713-1551
has_accepted_license: '1'
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.52202/085713-1551
month: '12'
oa: 1
oa_version: Published Version
page: 52014-52055
publication: 39th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9798331338275'
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'Hogwild! Inference: Parallel LLM generation via concurrent attention'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2025'
...
---
OA_place: publisher
OA_type: free access
_id: '22825'
abstract:
- lang: eng
  text: "The empirical emergence of neural collapse—a surprising symmetry in the feature
    representations of the training data in the penultimate layer of deep neural\r\nnetworks—has
    spurred a line of theoretical research aimed at its understanding.\r\nHowever,
    existing work focuses on data-agnostic models or, when data structure is\r\ntaken
    into account, it remains limited to multi-layer perceptrons. Our paper fills\r\nboth
    these gaps by analyzing modern architectures in a data-aware regime: we\r\nprove
    that global optima of deep regularized transformers and residual networks\r\n(ResNets)
    with LayerNorm trained with cross entropy or mean squared error loss\r\nare approximately
    collapsed, and the approximation gets tighter as the depth grows.\r\nMore generally,
    we formally reduce any end-to-end large-depth ResNet or transformer training into
    an equivalent unconstrained features model, thus justifying its\r\nwide use in
    the literature even beyond data-agnostic settings. Our theoretical results\r\nare
    supported by experiments on computer vision and language datasets showing\r\nthat,
    as the depth grows, neural collapse indeed becomes more prominent."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "M. M. and P. S. are funded by the European Union (ERC, INF2\r\n,
  project number 101161364). Views\r\nand opinions expressed are however those of
  the author(s) only and do not necessarily reflect those\r\nof the European Union
  or the European Research Council Executive Agency. Neither the European\r\nUnion
  nor the granting authority can be held responsible for them. This research was supported\r\nby
  the Scientific Service Units (SSU) of ISTA through resources provided by Scientific
  Computing (SciComp)."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Peter
  full_name: Súkeník, Peter
  id: d64d6a8d-eb8e-11eb-b029-96fd216dec3c
  last_name: Súkeník
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Súkeník P, Lampert C, Mondelli M. Neural collapse is globally optimal in deep
    regularized ResNets and transformers. In: <i>39th Conference on Neural Information
    Processing Systems</i>. Vol 38. Neural Information Processing Systems Foundation;
    2025:48646-48677. doi:<a href="https://doi.org/10.52202/085713-1450">10.52202/085713-1450</a>'
  apa: 'Súkeník, P., Lampert, C., &#38; Mondelli, M. (2025). Neural collapse is globally
    optimal in deep regularized ResNets and transformers. In <i>39th Conference on
    Neural Information Processing Systems</i> (Vol. 38, pp. 48646–48677). San Diego,
    CA, United States: Neural Information Processing Systems Foundation. <a href="https://doi.org/10.52202/085713-1450">https://doi.org/10.52202/085713-1450</a>'
  chicago: Súkeník, Peter, Christoph Lampert, and Marco Mondelli. “Neural Collapse
    Is Globally Optimal in Deep Regularized ResNets and Transformers.” In <i>39th
    Conference on Neural Information Processing Systems</i>, 38:48646–77. Neural Information
    Processing Systems Foundation, 2025. <a href="https://doi.org/10.52202/085713-1450">https://doi.org/10.52202/085713-1450</a>.
  ieee: P. Súkeník, C. Lampert, and M. Mondelli, “Neural collapse is globally optimal
    in deep regularized ResNets and transformers,” in <i>39th Conference on Neural
    Information Processing Systems</i>, San Diego, CA, United States, 2025, vol. 38,
    pp. 48646–48677.
  ista: 'Súkeník P, Lampert C, Mondelli M. 2025. Neural collapse is globally optimal
    in deep regularized ResNets and transformers. 39th Conference on Neural Information
    Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in
    Neural Information Processing Systems, vol. 38, 48646–48677.'
  mla: Súkeník, Peter, et al. “Neural Collapse Is Globally Optimal in Deep Regularized
    ResNets and Transformers.” <i>39th Conference on Neural Information Processing
    Systems</i>, vol. 38, Neural Information Processing Systems Foundation, 2025,
    pp. 48646–77, doi:<a href="https://doi.org/10.52202/085713-1450">10.52202/085713-1450</a>.
  short: P. Súkeník, C. Lampert, M. Mondelli, in:, 39th Conference on Neural Information
    Processing Systems, Neural Information Processing Systems Foundation, 2025, pp.
    48646–48677.
conference:
  end_date: 2025-12-07
  location: San Diego, CA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2025-12-02
corr_author: '1'
das_tickbox: '0'
date_created: 2026-09-06T22:01:59Z
date_published: 2025-12-02T00:00:00Z
date_updated: 2026-09-10T08:11:46Z
day: '02'
ddc:
- '000'
department:
- _id: MaMo
- _id: GradSch
- _id: ChLa
doi: 10.52202/085713-1450
external_id:
  arxiv:
  - '2505.15239'
fulldoi: https://doi.org/10.52202/085713-1450
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.52202/085713-1450
month: '12'
oa: 1
oa_version: Published Version
page: 48646-48677
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: 39th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9798331338275'
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Neural collapse is globally optimal in deep regularized ResNets and transformers
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2025'
...
---
OA_place: publisher
OA_type: free access
_id: '22824'
abstract:
- lang: eng
  text: "We present new fast-rate PAC-Bayesian generalization bounds for multi-task
    and\r\nmeta-learning in the unbalanced setting, i.e. when the tasks have training
    sets of\r\ndifferent sizes, as is typically the case in real-world scenarios.
    Previously, only\r\nstandard-rate bounds were known for this situation, while
    fast-rate bounds were\r\nlimited to the setting where all training sets are of
    equal size. Our new bounds\r\nare numerically computable as well as interpretable,
    and we demonstrate their\r\nflexibility in handling a number of cases where they
    give stronger guarantees\r\nthan previous bounds. Besides the bounds themselves,
    we also make conceptual\r\ncontributions: we demonstrate that the unbalanced multi-task
    setting has different\r\nstatistical properties than the balanced situation, specifically
    that proofs from\r\nthe balanced situation do not carry over to the unbalanced
    setting. Additionally,\r\nwe shed light on the fact that the unbalanced situation
    allows two meaningful\r\ndefinitions of multi-task risk, depending on whether
    all tasks should be considered\r\nequally important or if sample-rich tasks should
    receive more weight than samplepoor ones."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: This research was supported by the Scientific Service Units (SSU)
  of ISTA through resources provided by Scientific Computing (SciComp).
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
author:
- first_name: Hossein
  full_name: Zakerinia, Hossein
  id: 653bd8b6-f394-11eb-9cf6-c0bbf6cd78d4
  last_name: Zakerinia
  orcid: 0009-0007-3977-6462
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Zakerinia H, Lampert C. Fast rate bounds for multi-task and meta-learning
    with different sample sizes. In: <i>39th Conference on Neural Information Processing
    Systems</i>. Vol 38. Neural Information Processing Systems Foundation; 2025:9062-9093.
    doi:<a href="https://doi.org/10.52202/085713-0278">10.52202/085713-0278</a>'
  apa: 'Zakerinia, H., &#38; Lampert, C. (2025). Fast rate bounds for multi-task and
    meta-learning with different sample sizes. In <i>39th Conference on Neural Information
    Processing Systems</i> (Vol. 38, pp. 9062–9093). San Diego, CA, United States:
    Neural Information Processing Systems Foundation. <a href="https://doi.org/10.52202/085713-0278">https://doi.org/10.52202/085713-0278</a>'
  chicago: Zakerinia, Hossein, and Christoph Lampert. “Fast Rate Bounds for Multi-Task
    and Meta-Learning with Different Sample Sizes.” In <i>39th Conference on Neural
    Information Processing Systems</i>, 38:9062–93. Neural Information Processing
    Systems Foundation, 2025. <a href="https://doi.org/10.52202/085713-0278">https://doi.org/10.52202/085713-0278</a>.
  ieee: H. Zakerinia and C. Lampert, “Fast rate bounds for multi-task and meta-learning
    with different sample sizes,” in <i>39th Conference on Neural Information Processing
    Systems</i>, San Diego, CA, United States, 2025, vol. 38, pp. 9062–9093.
  ista: 'Zakerinia H, Lampert C. 2025. Fast rate bounds for multi-task and meta-learning
    with different sample sizes. 39th Conference on Neural Information Processing
    Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information
    Processing Systems, vol. 38, 9062–9093.'
  mla: Zakerinia, Hossein, and Christoph Lampert. “Fast Rate Bounds for Multi-Task
    and Meta-Learning with Different Sample Sizes.” <i>39th Conference on Neural Information
    Processing Systems</i>, vol. 38, Neural Information Processing Systems Foundation,
    2025, pp. 9062–93, doi:<a href="https://doi.org/10.52202/085713-0278">10.52202/085713-0278</a>.
  short: H. Zakerinia, C. Lampert, in:, 39th Conference on Neural Information Processing
    Systems, Neural Information Processing Systems Foundation, 2025, pp. 9062–9093.
conference:
  end_date: 2025-12-07
  location: San Diego, CA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2025-12-02
corr_author: '1'
das_tickbox: '0'
date_created: 2026-09-06T22:01:59Z
date_published: 2025-12-02T00:00:00Z
date_updated: 2026-09-10T08:37:33Z
day: '02'
department:
- _id: GradSch
- _id: ChLa
doi: 10.52202/085713-0278
fulldoi: https://doi.org/10.52202/085713-0278
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.52202/085713-0278
month: '12'
oa: 1
oa_version: Published Version
page: 9062-9093
publication: 39th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9798331338275'
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Fast rate bounds for multi-task and meta-learning with different sample sizes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2025'
...
---
OA_place: publisher
OA_type: free access
_id: '22830'
abstract:
- lang: eng
  text: "We introduce AutoJudge, a method that accelerates large language model (LLM)
    inference with task-specific lossy speculative decoding. Instead of matching the
    original model output distribution token-by-token, we identify the generated tokens
    that affect the downstream quality of the response, relaxing the distribution
    match guarantee so that the \"unimportant\" tokens can be generated faster. Our
    approach relies on a semi‑greedy search algorithm to test which of the mismatches
    between target and draft models should be corrected to preserve quality and which
    ones may be skipped. We then train a lightweight classifier based on existing
    LLM embeddings to predict, at inference time, which mismatching tokens can be
    safely accepted without compromising the final answer quality. We evaluate AutoJudge
    with multiple draft/target model pairs on mathematical reasoning and programming
    benchmarks, achieving significant speedups at the cost of a minor accuracy reduction.
    Notably, on GSM8K with the Llama 3.1 70B target model, our approach achieves up
    to \r\n≈\r\n2\r\n×\r\n speedup \\textit{over speculative decoding} at the cost
    of a \r\n≤\r\n1\r\n%\r\n drop in accuracy. When applied to the LiveCodeBench benchmark,
    AutoJudge automatically detects programming-specific important tokens, accepting
    \r\n≥\r\n25\r\n tokens per speculation cycle at a\r\n \r\n2\r\n%\r\n drop in Pass@1.
    Our approach requires no human annotation and is easy to integrate with modern
    LLM inference frameworks."
acknowledgement: "We would like to express our sincere gratitude to Denis Mazur for
  his valuable contributions to the\r\nimplementation of API calls used in Algorithm
  1 and for supporting inference with the Llama 405B\r\nmodel. We are also thankful
  for his positive influence on the overall atmosphere and team morale\r\nthroughout
  the course of this project."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Roman
  full_name: Garipov, Roman
  last_name: Garipov
- first_name: Fedor
  full_name: Velikonivtsev, Fedor
  last_name: Velikonivtsev
- first_name: Ivan
  full_name: Ermakov, Ivan
  last_name: Ermakov
- first_name: Ruslan
  full_name: Svirschevski, Ruslan
  last_name: Svirschevski
- first_name: Vage
  full_name: Egiazarian, Vage
  id: 77451e76-92b2-11ef-a4d1-8dbaa06e16ad
  last_name: Egiazarian
- first_name: Max
  full_name: Ryabinin, Max
  last_name: Ryabinin
citation:
  ama: 'Garipov R, Velikonivtsev F, Ermakov I, Svirschevski R, Egiazarian V, Ryabinin
    M. AutoJudge: Judge decoding without manual annotation. In: <i>39th Annual Conference
    on Neural Information Processing Systems</i>. Vol 38. Neural Information Processing
    Systems Foundation; 2025:104904-104941. doi:<a href="https://doi.org/10.52202/085713-3163">10.52202/085713-3163</a>'
  apa: 'Garipov, R., Velikonivtsev, F., Ermakov, I., Svirschevski, R., Egiazarian,
    V., &#38; Ryabinin, M. (2025). AutoJudge: Judge decoding without manual annotation.
    In <i>39th Annual Conference on Neural Information Processing Systems</i> (Vol.
    38, pp. 104904–104941). San Diego, CA, United States: Neural Information Processing
    Systems Foundation. <a href="https://doi.org/10.52202/085713-3163">https://doi.org/10.52202/085713-3163</a>'
  chicago: 'Garipov, Roman, Fedor Velikonivtsev, Ivan Ermakov, Ruslan Svirschevski,
    Vage Egiazarian, and Max Ryabinin. “AutoJudge: Judge Decoding without Manual Annotation.”
    In <i>39th Annual Conference on Neural Information Processing Systems</i>, 38:104904–41.
    Neural Information Processing Systems Foundation, 2025. <a href="https://doi.org/10.52202/085713-3163">https://doi.org/10.52202/085713-3163</a>.'
  ieee: 'R. Garipov, F. Velikonivtsev, I. Ermakov, R. Svirschevski, V. Egiazarian,
    and M. Ryabinin, “AutoJudge: Judge decoding without manual annotation,” in <i>39th
    Annual Conference on Neural Information Processing Systems</i>, San Diego, CA,
    United States, 2025, vol. 38, pp. 104904–104941.'
  ista: 'Garipov R, Velikonivtsev F, Ermakov I, Svirschevski R, Egiazarian V, Ryabinin
    M. 2025. AutoJudge: Judge decoding without manual annotation. 39th Annual Conference
    on Neural Information Processing Systems. NeurIPS: Neural Information Processing
    Systems, Advances in Neural Information Processing Systems, vol. 38, 104904–104941.'
  mla: 'Garipov, Roman, et al. “AutoJudge: Judge Decoding without Manual Annotation.”
    <i>39th Annual Conference on Neural Information Processing Systems</i>, vol. 38,
    Neural Information Processing Systems Foundation, 2025, pp. 104904–41, doi:<a
    href="https://doi.org/10.52202/085713-3163">10.52202/085713-3163</a>.'
  short: R. Garipov, F. Velikonivtsev, I. Ermakov, R. Svirschevski, V. Egiazarian,
    M. Ryabinin, in:, 39th Annual Conference on Neural Information Processing Systems,
    Neural Information Processing Systems Foundation, 2025, pp. 104904–104941.
conference:
  end_date: 2025-12-07
  location: San Diego, CA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2025-12-02
das_tickbox: '0'
date_created: 2026-09-06T22:02:00Z
date_published: 2025-12-02T00:00:00Z
date_updated: 2026-09-10T11:08:33Z
day: '02'
department:
- _id: DaAl
doi: 10.52202/085713-3163
external_id:
  arxiv:
  - '2504.20039'
fulldoi: https://doi.org/10.52202/085713-3163
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.52202/085713-3163
month: '12'
oa: 1
oa_version: Published Version
page: 104904-104941
publication: 39th Annual Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9798331338275'
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'AutoJudge: Judge decoding without manual annotation'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19595'
abstract:
- lang: eng
  text: We investigate the locality of magnetic response in polycyclic aromatic molecules
    using a novel deep-learning approach. Our method employs graph neural networks
    (GNNs) with a graph-of-rings representation to predict nucleus independent chemical
    shifts (NICS) in the space around the molecule. We train a series of models, each
    time reducing the size of the largest molecules used in training. The accuracy
    of prediction remains high (MAE < 0.5 ppm), even when training the model only
    on molecules with up to four rings, thus providing strong evidence for the locality
    of magnetic response. To overcome the known problem of generalization of GNNs,
    we implement a k-hop expansion strategy and succeed in achieving accurate predictions
    for molecules with up to 15 rings (almost 4 times the size of the largest training
    example). Our findings have implications for understanding the magnetic response
    in complex molecules and demonstrate a promising approach to overcoming GNN scalability
    limitations. Furthermore, the trained models enable rapid characterization, without
    the need for more expensive DFT calculations.
acknowledgement: The authors express their gratitude to Professor Dr. Peter Chen for
  his continued support. The authors acknowledge the Branco Weiss Fellowship for supporting
  this research as part of a Society in Science grant and the Israel Science Foundation
  for financial support (Grant No. 1745/23 to R.G.-P.). R.G.-P. is a Branco Weiss
  Fellow, a Horev Fellow, and an Alon Scholarship recipient. A.M.B. was supported
  by the ERC StG EARS and the Israeli Science Foundation.
article_number: '144101'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Yair
  full_name: Davidson, Yair
  last_name: Davidson
- first_name: Aviad
  full_name: Philipp, Aviad
  last_name: Philipp
- first_name: Sabyasachi
  full_name: Chakraborty, Sabyasachi
  last_name: Chakraborty
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Renana
  full_name: Gershoni-Poranne, Renana
  last_name: Gershoni-Poranne
citation:
  ama: Davidson Y, Philipp A, Chakraborty S, Bronstein AM, Gershoni-Poranne R. How
    local is “local”? Deep learning reveals locality of the induced magnetic field
    of polycyclic aromatic hydrocarbons. <i>Journal of Chemical Physics</i>. 2025;162(14).
    doi:<a href="https://doi.org/10.1063/5.0257558">10.1063/5.0257558</a>
  apa: Davidson, Y., Philipp, A., Chakraborty, S., Bronstein, A. M., &#38; Gershoni-Poranne,
    R. (2025). How local is “local”? Deep learning reveals locality of the induced
    magnetic field of polycyclic aromatic hydrocarbons. <i>Journal of Chemical Physics</i>.
    AIP Publishing. <a href="https://doi.org/10.1063/5.0257558">https://doi.org/10.1063/5.0257558</a>
  chicago: Davidson, Yair, Aviad Philipp, Sabyasachi Chakraborty, Alex M. Bronstein,
    and Renana Gershoni-Poranne. “How Local Is ‘Local’? Deep Learning Reveals Locality
    of the Induced Magnetic Field of Polycyclic Aromatic Hydrocarbons.” <i>Journal
    of Chemical Physics</i>. AIP Publishing, 2025. <a href="https://doi.org/10.1063/5.0257558">https://doi.org/10.1063/5.0257558</a>.
  ieee: Y. Davidson, A. Philipp, S. Chakraborty, A. M. Bronstein, and R. Gershoni-Poranne,
    “How local is ‘local’? Deep learning reveals locality of the induced magnetic
    field of polycyclic aromatic hydrocarbons,” <i>Journal of Chemical Physics</i>,
    vol. 162, no. 14. AIP Publishing, 2025.
  ista: Davidson Y, Philipp A, Chakraborty S, Bronstein AM, Gershoni-Poranne R. 2025.
    How local is “local”? Deep learning reveals locality of the induced magnetic field
    of polycyclic aromatic hydrocarbons. Journal of Chemical Physics. 162(14), 144101.
  mla: Davidson, Yair, et al. “How Local Is ‘Local’? Deep Learning Reveals Locality
    of the Induced Magnetic Field of Polycyclic Aromatic Hydrocarbons.” <i>Journal
    of Chemical Physics</i>, vol. 162, no. 14, 144101, AIP Publishing, 2025, doi:<a
    href="https://doi.org/10.1063/5.0257558">10.1063/5.0257558</a>.
  short: Y. Davidson, A. Philipp, S. Chakraborty, A.M. Bronstein, R. Gershoni-Poranne,
    Journal of Chemical Physics 162 (2025).
corr_author: '1'
date_created: 2025-04-20T22:01:28Z
date_published: 2025-04-14T00:00:00Z
date_updated: 2026-09-14T07:44:59Z
day: '14'
ddc:
- '000'
department:
- _id: AlBr
doi: 10.1063/5.0257558
external_id:
  isi:
  - '001466311300030'
  pmid:
  - '40197568'
file:
- access_level: open_access
  checksum: 20a31a4c506b52de863bab7d3ff989ef
  content_type: application/pdf
  creator: dernst
  date_created: 2025-04-22T09:27:43Z
  date_updated: 2025-04-22T09:27:43Z
  file_id: '19606'
  file_name: 2025_JourChemicalPhysics_Davidson.pdf
  file_size: 7812182
  relation: main_file
  success: 1
file_date_updated: 2025-04-22T09:27:43Z
fulldoi: https://doi.org/10.1063/5.0257558
has_accepted_license: '1'
intvolume: '       162'
isi: 1
issue: '14'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 1b39bd8c-ab3c-11f0-a172-a4c5bf64093b
  grant_number: '863839'
  name: Acoustics-based drone navigation and interaction
publication: Journal of Chemical Physics
publication_identifier:
  eissn:
  - 1089-7690
  issn:
  - 0021-9606
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://gitlab.com/porannegroup/magnetic_locality
scopus_import: '1'
status: public
title: How local is “local”? Deep learning reveals locality of the induced magnetic
  field of polycyclic aromatic hydrocarbons
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 162
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '17468'
abstract:
- lang: eng
  text: Oxygen redox chemistry is central to life1 and many human-made technologies,
    such as in energy storage2,3,4. The large energy gain from oxygen redox reactions
    is often connected with the occurrence of harmful reactive oxygen species3,5,6.
    Key species are superoxide and the highly reactive singlet oxygen3,4,5,6,7, which
    may evolve from superoxide. However, the factors determining the formation of
    singlet oxygen, rather than the relatively unreactive triplet oxygen, are unknown.
    Here we report that the release of triplet or singlet oxygen is governed by individual
    Marcus normal and inverted region behaviour. We found that as the driving force
    for the reaction increases, the initially dominant evolution of triplet oxygen
    slows down, and singlet oxygen evolution becomes predominant with higher maximum
    kinetics. This behaviour also applies to the widely observed superoxide disproportionation,
    in which one superoxide is oxidized by another, in both non-aqueous and aqueous
    systems, with Lewis and Brønsted acidity controlling the driving forces. Singlet
    oxygen yields governed by these conditions are relevant, for example, in batteries
    or cellular organelles in which superoxide forms. Our findings suggest ways to
    understand and control spin states and kinetics in oxygen redox chemistry, with
    implications for fields, including life sciences, pure chemistry and energy storage.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
- _id: M-Shop
- _id: ScienComp
acknowledgement: S.A.F. thanks the Institute of Science and Technology Austria (ISTA)
  for the support. The Scientific Service Units of ISTA supported this research through
  resources provided by the Imaging and Optics Facility, the Lab Support Facility,
  the Miba Machine Shop and Scientific Computing. This research was partly funded
  by the Austrian Science Fund (FWF) (10.55776/P37169 and 10.55776/COE5). For open
  access purposes, the author has applied for a CC BY public copyright licence to
  any author-accepted manuscript version arising from this submission. R.H. acknowledges
  funding through CZI grant DAF2020-225401 (10.37921/120055ratwvi) from the Chan Zuckerberg
  Initiative DAF, an advised fund of Silicon Valley Community Foundation (10.13039/100014989).
  H.T.K.N. acknowledges funding by the European Commission Erasmus Mundus Joint Masters
  programme. We thank M. Sixt and M. Chinon for the discussions about O-redox in life
  and R. Jethwa for proofreading. Open access funding was provided by ISTA.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Soumyadip
  full_name: Mondal, Soumyadip
  id: d25d21ef-dc8d-11ea-abe3-ec4576307f48
  last_name: Mondal
- first_name: Huyen T.K.
  full_name: Nguyen, Huyen T.K.
  last_name: Nguyen
- first_name: Robert
  full_name: Hauschild, Robert
  id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87
  last_name: Hauschild
  orcid: 0000-0001-9843-3522
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
citation:
  ama: Mondal S, Nguyen HTK, Hauschild R, Freunberger SA. Marcus kinetics control
    singlet and triplet oxygen evolving from superoxide. <i>Nature</i>. 2025;646(8085):601–605.
    doi:<a href="https://doi.org/10.1038/s41586-025-09587-7">10.1038/s41586-025-09587-7</a>
  apa: Mondal, S., Nguyen, H. T. K., Hauschild, R., &#38; Freunberger, S. A. (2025).
    Marcus kinetics control singlet and triplet oxygen evolving from superoxide. <i>Nature</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41586-025-09587-7">https://doi.org/10.1038/s41586-025-09587-7</a>
  chicago: Mondal, Soumyadip, Huyen T.K. Nguyen, Robert Hauschild, and Stefan Alexander
    Freunberger. “Marcus Kinetics Control Singlet and Triplet Oxygen Evolving from
    Superoxide.” <i>Nature</i>. Springer Nature, 2025. <a href="https://doi.org/10.1038/s41586-025-09587-7">https://doi.org/10.1038/s41586-025-09587-7</a>.
  ieee: S. Mondal, H. T. K. Nguyen, R. Hauschild, and S. A. Freunberger, “Marcus kinetics
    control singlet and triplet oxygen evolving from superoxide,” <i>Nature</i>, vol.
    646, no. 8085. Springer Nature, pp. 601–605, 2025.
  ista: Mondal S, Nguyen HTK, Hauschild R, Freunberger SA. 2025. Marcus kinetics control
    singlet and triplet oxygen evolving from superoxide. Nature. 646(8085), 601–605.
  mla: Mondal, Soumyadip, et al. “Marcus Kinetics Control Singlet and Triplet Oxygen
    Evolving from Superoxide.” <i>Nature</i>, vol. 646, no. 8085, Springer Nature,
    2025, pp. 601–605, doi:<a href="https://doi.org/10.1038/s41586-025-09587-7">10.1038/s41586-025-09587-7</a>.
  short: S. Mondal, H.T.K. Nguyen, R. Hauschild, S.A. Freunberger, Nature 646 (2025)
    601–605.
corr_author: '1'
date_created: 2024-08-29T10:40:23Z
date_published: 2025-10-16T00:00:00Z
date_updated: 2026-09-16T06:53:54Z
day: '16'
ddc:
- '540'
department:
- _id: StFr
- _id: Bio
doi: 10.1038/s41586-025-09587-7
external_id:
  isi:
  - '001586378900001'
  pmid:
  - '41044415'
file:
- access_level: open_access
  checksum: b507ddd23df0388aa65d04dc9b00fe3d
  content_type: application/pdf
  creator: dernst
  date_created: 2025-10-20T10:26:13Z
  date_updated: 2025-10-20T10:26:13Z
  file_id: '20500'
  file_name: 2025_Nature_Mondal.pdf
  file_size: 3809247
  relation: main_file
  success: 1
file_date_updated: 2025-10-20T10:26:13Z
fulldoi: https://doi.org/10.1038/s41586-025-09587-7
has_accepted_license: '1'
intvolume: '       646'
isi: 1
issue: '8085'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 601–605
pmid: 1
project:
- _id: 8df062be-16d5-11f0-9cad-f559b6612c7e
  grant_number: P37169
  name: Singlet oxygen in non-aqueous oxygen redox chemistry
- _id: c08e9ad1-5a5b-11eb-8a69-9d1cf3b07473
  grant_number: CZI01
  name: Tools for automation and feedback microscopy
- _id: 5eaf4378-b033-11f1-b276-f928018a46c1
  grant_number: COE05
  name: Materials for Energy Conversion and Storage (Freunberger)
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - description: News on ISTA website
    relation: press_release
    url: https://ista.ac.at/en/news/taming-the-bad-oxygen/
scopus_import: '1'
status: public
title: Marcus kinetics control singlet and triplet oxygen evolving from superoxide
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 646
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19743'
abstract:
- lang: eng
  text: The possibility of errors in human-engineered formal verification software,
    such as model checkers, poses a serious threat to the purpose of these tools.
    An established approach to mitigate this problem are certificates—lightweight,
    easy-to-check proofs of the verification results. In this paper, we develop novel
    certificates for model checking of Markov decision processes (MDPs) with quantitative
    reachability and expected reward properties. Our approach is conceptually simple
    and relies almost exclusively on elementary fixed point theory. Our certificates
    work for arbitrary finite MDPs and can be readily computed with little overhead
    using standard algorithms. We formalize the soundness of our certificates in Isabelle/HOL
    and provide a formally verified certificate checker. Moreover, we augment existing
    algorithms in the probabilistic model checker Storm with the ability to produce
    certificates and demonstrate practical applicability by conducting the first formal
    certification of the reference results in the Quantitative Verification Benchmark
    Set.
acknowledgement: This project has received funding from the ERC CoG 863818 (ForM-SMArt),
  the Austrian Science Fund (FWF) 10.55776/COE12, a KI-Starter grant from the Ministerium
  für Kultur und Wissenschaft NRW, the DFG RTG 378803395 (ConVeY), the EU’s Horizon
  2020 research and innovation programmes under the Marie Sklodowska-Curie grant agreement
  Nos. 101034413 (IST-BRIDGE) and 101008233 (MISSION), and the DFG RTG 2236 (UnRAVeL).
  Experiments were performed with computing resources granted by RWTH Aachen University
  under project rwth1632.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Tim
  full_name: Quatmann, Tim
  last_name: Quatmann
- first_name: Maximilian
  full_name: Schäffeler, Maximilian
  last_name: Schäffeler
- first_name: Maximilian
  full_name: Weininger, Maximilian
  id: 02ab0197-cc70-11ed-ab61-918e71f56881
  last_name: Weininger
  orcid: 0000-0002-0163-2152
- first_name: Tobias
  full_name: Winkler, Tobias
  last_name: Winkler
- first_name: Daniel
  full_name: Zilken, Daniel
  id: d8ebc24a-3f98-11f0-9044-8296d4f39ab3
  last_name: Zilken
citation:
  ama: 'Chatterjee K, Quatmann T, Schäffeler M, Weininger M, Winkler T, Zilken D.
    Fixed point certificates for reachability and expected rewards in MDPs. In: <i>31st
    International Conference on Tools and Algorithms for the Construction and Analysis
    of Systems</i>. Vol 15697. Springer Nature; 2025:130-151. doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_7">10.1007/978-3-031-90653-4_7</a>'
  apa: 'Chatterjee, K., Quatmann, T., Schäffeler, M., Weininger, M., Winkler, T.,
    &#38; Zilken, D. (2025). Fixed point certificates for reachability and expected
    rewards in MDPs. In <i>31st International Conference on Tools and Algorithms for
    the Construction and Analysis of Systems</i> (Vol. 15697, pp. 130–151). Hamilton,
    ON, Canada: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-90653-4_7">https://doi.org/10.1007/978-3-031-90653-4_7</a>'
  chicago: Chatterjee, Krishnendu, Tim Quatmann, Maximilian Schäffeler, Maximilian
    Weininger, Tobias Winkler, and Daniel Zilken. “Fixed Point Certificates for Reachability
    and Expected Rewards in MDPs.” In <i>31st International Conference on Tools and
    Algorithms for the Construction and Analysis of Systems</i>, 15697:130–51. Springer
    Nature, 2025. <a href="https://doi.org/10.1007/978-3-031-90653-4_7">https://doi.org/10.1007/978-3-031-90653-4_7</a>.
  ieee: K. Chatterjee, T. Quatmann, M. Schäffeler, M. Weininger, T. Winkler, and D.
    Zilken, “Fixed point certificates for reachability and expected rewards in MDPs,”
    in <i>31st International Conference on Tools and Algorithms for the Construction
    and Analysis of Systems</i>, Hamilton, ON, Canada, 2025, vol. 15697, pp. 130–151.
  ista: 'Chatterjee K, Quatmann T, Schäffeler M, Weininger M, Winkler T, Zilken D.
    2025. Fixed point certificates for reachability and expected rewards in MDPs.
    31st International Conference on Tools and Algorithms for the Construction and
    Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis
    of Systems, LNCS, vol. 15697, 130–151.'
  mla: Chatterjee, Krishnendu, et al. “Fixed Point Certificates for Reachability and
    Expected Rewards in MDPs.” <i>31st International Conference on Tools and Algorithms
    for the Construction and Analysis of Systems</i>, vol. 15697, Springer Nature,
    2025, pp. 130–51, doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_7">10.1007/978-3-031-90653-4_7</a>.
  short: K. Chatterjee, T. Quatmann, M. Schäffeler, M. Weininger, T. Winkler, D. Zilken,
    in:, 31st International Conference on Tools and Algorithms for the Construction
    and Analysis of Systems, Springer Nature, 2025, pp. 130–151.
conference:
  end_date: 2025-05-08
  location: Hamilton, ON, Canada
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2025-05-03
corr_author: '1'
date_created: 2025-05-25T22:17:09Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2026-09-16T06:57:17Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-90653-4_7
ec_funded: 1
external_id:
  arxiv:
  - '2501.11467'
file:
- access_level: open_access
  checksum: 64b7f46ef05649b87b827248045c7645
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  creator: dernst
  date_created: 2025-06-02T10:49:52Z
  date_updated: 2025-06-02T10:49:52Z
  file_id: '19772'
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  file_size: 732136
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  success: 1
file_date_updated: 2025-06-02T10:49:52Z
fulldoi: https://doi.org/10.1007/978-3-031-90653-4_7
has_accepted_license: '1'
intvolume: '     15697'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 130-151
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: 31st International Conference on Tools and Algorithms for the Construction
  and Analysis of Systems
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031906527'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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    status: public
scopus_import: '1'
status: public
title: Fixed point certificates for reachability and expected rewards in MDPs
tmp:
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  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15697
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19740'
abstract:
- lang: eng
  text: Two standard models for probabilistic systems are Markov chains (MCs) and
    Markov decision processes (MDPs). Classic objectives for such probabilistic models
    for control and planning problems are reachability and stochastic shortest path.
    The widely studied algorithmic approach for these problems is the Value Iteration
    (VI) algorithm which iteratively applies local updates called Bellman updates.
    There are many practical approaches for VI in the literature but they all require
    exponentially many Bellman updates for MCs in the worst case. A preprocessing
    step is an algorithm that is discrete, graph-theoretical, and requires linear
    space. An important open question is whether, after a polynomial-time preprocessing,
    VI can be achieved with sub-exponentially many Bellman updates. In this work,
    we present a new approach for VI based on guessing values. Our theoretical contributions
    are twofold. First, for MCs, we present an almost-linear-time preprocessing algorithm
    after which, along with guessing values, VI requires only subexponentially many
    Bellman updates. Second, we present an improved analysis of the speed of convergence
    of VI for MDPs. Finally, we present a practical algorithm for MDPs based on our
    new approach. Experimental results show that our approach provides a considerable
    improvement over existing VI-based approaches on several benchmark examples from
    the literature.
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt)
  grant and Austrian Science Fund (FWF) 10.55776/COE12 grant.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Mahdi
  full_name: Jafariraviz, Mahdi
  last_name: Jafariraviz
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Jafariraviz M, Saona Urmeneta RJ, Svoboda J. Value iteration
    with guessing for Markov chains and Markov decision processes. In: <i>31st International
    Conference on Tools and Algorithms for the Construction and Analysis of Systems</i>.
    Vol 15697. Springer Nature; 2025:217-236. doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_11">10.1007/978-3-031-90653-4_11</a>'
  apa: 'Chatterjee, K., Jafariraviz, M., Saona Urmeneta, R. J., &#38; Svoboda, J.
    (2025). Value iteration with guessing for Markov chains and Markov decision processes.
    In <i>31st International Conference on Tools and Algorithms for the Construction
    and Analysis of Systems</i> (Vol. 15697, pp. 217–236). Hamilton, ON, Canada: Springer
    Nature. <a href="https://doi.org/10.1007/978-3-031-90653-4_11">https://doi.org/10.1007/978-3-031-90653-4_11</a>'
  chicago: Chatterjee, Krishnendu, Mahdi Jafariraviz, Raimundo J Saona Urmeneta, and
    Jakub Svoboda. “Value Iteration with Guessing for Markov Chains and Markov Decision
    Processes.” In <i>31st International Conference on Tools and Algorithms for the
    Construction and Analysis of Systems</i>, 15697:217–36. Springer Nature, 2025.
    <a href="https://doi.org/10.1007/978-3-031-90653-4_11">https://doi.org/10.1007/978-3-031-90653-4_11</a>.
  ieee: K. Chatterjee, M. Jafariraviz, R. J. Saona Urmeneta, and J. Svoboda, “Value
    iteration with guessing for Markov chains and Markov decision processes,” in <i>31st
    International Conference on Tools and Algorithms for the Construction and Analysis
    of Systems</i>, Hamilton, ON, Canada, 2025, vol. 15697, pp. 217–236.
  ista: 'Chatterjee K, Jafariraviz M, Saona Urmeneta RJ, Svoboda J. 2025. Value iteration
    with guessing for Markov chains and Markov decision processes. 31st International
    Conference on Tools and Algorithms for the Construction and Analysis of Systems.
    TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS,
    vol. 15697, 217–236.'
  mla: Chatterjee, Krishnendu, et al. “Value Iteration with Guessing for Markov Chains
    and Markov Decision Processes.” <i>31st International Conference on Tools and
    Algorithms for the Construction and Analysis of Systems</i>, vol. 15697, Springer
    Nature, 2025, pp. 217–36, doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_11">10.1007/978-3-031-90653-4_11</a>.
  short: K. Chatterjee, M. Jafariraviz, R.J. Saona Urmeneta, J. Svoboda, in:, 31st
    International Conference on Tools and Algorithms for the Construction and Analysis
    of Systems, Springer Nature, 2025, pp. 217–236.
conference:
  end_date: 2025-05-08
  location: Hamilton, ON, Canada
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2025-05-03
corr_author: '1'
date_created: 2025-05-25T22:17:06Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2026-09-16T06:56:56Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-90653-4_11
ec_funded: 1
external_id:
  arxiv:
  - '2505.06769'
file:
- access_level: open_access
  checksum: 45da6efbcbed20aada16c48c8e55e2d6
  content_type: application/pdf
  creator: dernst
  date_created: 2025-06-02T07:31:12Z
  date_updated: 2025-06-02T07:31:12Z
  file_id: '19767'
  file_name: 2025_TACAS_Chatterjee.pdf
  file_size: 557481
  relation: main_file
  success: 1
file_date_updated: 2025-06-02T07:31:12Z
fulldoi: https://doi.org/10.1007/978-3-031-90653-4_11
has_accepted_license: '1'
intvolume: '     15697'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 217-236
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: 31st International Conference on Tools and Algorithms for the Construction
  and Analysis of Systems
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031906527'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Value iteration with guessing for Markov chains and Markov decision processes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15697
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19744'
abstract:
- lang: eng
  text: We consider the problem of refuting equivalence of probabilistic programs,
    i.e., the problem of proving that two probabilistic programs induce different
    output distributions. We study this problem in the context of programs with conditioning
    (i.e., with observe and score statements), where the output distribution is conditioned
    by the event that all the observe statements along a run evaluate to true, and
    where the probability densities of different runs may be updated via the score
    statements. Building on a recent work on programs without conditioning, we present
    a new equivalence refutation method for programs with conditioning. Our method
    is based on weighted restarting, a novel transformation of probabilistic programs
    with conditioning to the output equivalent probabilistic programs without conditioning
    that we introduce in this work. Our method is the first to be both a) fully automated,
    and b) providing provably correct answers. We demonstrate the applicability of
    our method on a set of programs from the probabilistic inference literature.
acknowledgement: This work was partially supported by ERC CoG 863818 (ForM-SMArt)
  and Austrian Science Fund (FWF) 10.55776/COE12. Petr Novotný is supported by the
  Czech Science Foundation grant no. GA23-06963S.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ehsan
  full_name: Kafshdar Goharshadi, Ehsan
  id: 103b4fa0-896a-11ed-bdf8-87b697bef40d
  last_name: Kafshdar Goharshadi
  orcid: 0000-0002-8595-0587
- first_name: Petr
  full_name: Novotný, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotný
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Chatterjee K, Goharshady E, Novotný P, Zikelic D. Refuting equivalence in
    probabilistic programs with conditioning. In: <i>31st International Conference
    on Tools and Algorithms for the Construction and Analysis of Systems</i>. Vol
    15697. Springer Nature; 2025:279-300. doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_14">10.1007/978-3-031-90653-4_14</a>'
  apa: 'Chatterjee, K., Goharshady, E., Novotný, P., &#38; Zikelic, D. (2025). Refuting
    equivalence in probabilistic programs with conditioning. In <i>31st International
    Conference on Tools and Algorithms for the Construction and Analysis of Systems</i>
    (Vol. 15697, pp. 279–300). Hamilton, ON, Canada: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-90653-4_14">https://doi.org/10.1007/978-3-031-90653-4_14</a>'
  chicago: Chatterjee, Krishnendu, Ehsan Goharshady, Petr Novotný, and Dorde Zikelic.
    “Refuting Equivalence in Probabilistic Programs with Conditioning.” In <i>31st
    International Conference on Tools and Algorithms for the Construction and Analysis
    of Systems</i>, 15697:279–300. Springer Nature, 2025. <a href="https://doi.org/10.1007/978-3-031-90653-4_14">https://doi.org/10.1007/978-3-031-90653-4_14</a>.
  ieee: K. Chatterjee, E. Goharshady, P. Novotný, and D. Zikelic, “Refuting equivalence
    in probabilistic programs with conditioning,” in <i>31st International Conference
    on Tools and Algorithms for the Construction and Analysis of Systems</i>, Hamilton,
    ON, Canada, 2025, vol. 15697, pp. 279–300.
  ista: 'Chatterjee K, Goharshady E, Novotný P, Zikelic D. 2025. Refuting equivalence
    in probabilistic programs with conditioning. 31st International Conference on
    Tools and Algorithms for the Construction and Analysis of Systems. TACAS: Tools
    and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 15697,
    279–300.'
  mla: Chatterjee, Krishnendu, et al. “Refuting Equivalence in Probabilistic Programs
    with Conditioning.” <i>31st International Conference on Tools and Algorithms for
    the Construction and Analysis of Systems</i>, vol. 15697, Springer Nature, 2025,
    pp. 279–300, doi:<a href="https://doi.org/10.1007/978-3-031-90653-4_14">10.1007/978-3-031-90653-4_14</a>.
  short: K. Chatterjee, E. Goharshady, P. Novotný, D. Zikelic, in:, 31st International
    Conference on Tools and Algorithms for the Construction and Analysis of Systems,
    Springer Nature, 2025, pp. 279–300.
conference:
  end_date: 2025-05-08
  location: Hamilton, ON, Canada
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2025-05-03
corr_author: '1'
date_created: 2025-05-25T22:17:10Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2026-09-16T06:57:43Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-90653-4_14
ec_funded: 1
external_id:
  arxiv:
  - '2501.06579'
file:
- access_level: open_access
  checksum: 7dcd85e7e753bfa994c10b3cf9ebc185
  content_type: application/pdf
  creator: dernst
  date_created: 2025-06-02T11:13:49Z
  date_updated: 2025-06-02T11:13:49Z
  file_id: '19773'
  file_name: 2025_TACAS_Chatterjee_Goharshadi.pdf
  file_size: 532181
  relation: main_file
  success: 1
file_date_updated: 2025-06-02T11:13:49Z
fulldoi: https://doi.org/10.1007/978-3-031-90653-4_14
has_accepted_license: '1'
intvolume: '     15697'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 279-300
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: 31st International Conference on Tools and Algorithms for the Construction
  and Analysis of Systems
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031906527'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Refuting equivalence in probabilistic programs with conditioning
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15697
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19667'
abstract:
- lang: eng
  text: The problem of checking satisfiability of linear real arithmetic (LRA) and
    non-linear real arithmetic (NRA) formulas has broad applications, in particular,
    they are at the heart of logic-related applications such as logic for artificial
    intelligence, program analysis, etc. While there has been much work on checking
    satisfiability of unquantified LRA and NRA formulas, the problem of checking satisfiability
    of quantified LRA and NRA formulas remains a significant challenge. The main bottleneck
    in the existing methods is a computationally expensive quantifier elimination
    step. In this work, we propose a novel method for efficient quantifier elimination
    in quantified LRA and NRA formulas. We propose a template-based Skolemization
    approach, where we automatically synthesize linear/polynomial Skolem functions
    in order to eliminate quantifiers in the formula. The key technical ingredient
    in our approach are Positivstellensätze theorems from algebraic geometry, which
    allow for an efficient manipulation of polynomial inequalities. Our method offers
    a range of appealing theoretical properties combined with a strong practical performance.
    On the theory side, our method is sound, semi-complete, and runs in subexponential
    time and polynomial space, as opposed to existing sound and complete quantifier
    elimination methods that run in doubly-exponential time and at least exponential
    space. On the practical side, our experiments show superior performance compared
    to state of the art SMT solvers in terms of the number of solved instances and
    runtime, both on LRA and on NRA benchmarks.
acknowledgement: This work was partially funded by ERC CoG 863818 (ForM-SMArt) and
  Austrian Science Fund (FWF) 10.55776/COE12.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ehsan
  full_name: Kafshdar Goharshadi, Ehsan
  id: 103b4fa0-896a-11ed-bdf8-87b697bef40d
  last_name: Kafshdar Goharshadi
  orcid: 0000-0002-8595-0587
- first_name: Mehrdad
  full_name: Karrabi, Mehrdad
  id: 67638922-f394-11eb-9cf6-f20423e08757
  last_name: Karrabi
  orcid: 0009-0007-5253-9170
- first_name: Harshit J.
  full_name: Motwani, Harshit J.
  last_name: Motwani
- first_name: Maximilian
  full_name: Seeliger, Maximilian
  last_name: Seeliger
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Chatterjee K, Goharshady E, Karrabi M, Motwani HJ, Seeliger M, Zikelic D.
    Quantified linear and polynomial arithmetic satisfiability via template-based
    skolemization. In: <i>Proceedings of the 39th AAAI Conference on Artificial Intelligence</i>.
    Vol 39. Association for the Advancement of Artificial Intelligence; 2025:11158-11166.
    doi:<a href="https://doi.org/10.1609/aaai.v39i11.33213">10.1609/aaai.v39i11.33213</a>'
  apa: 'Chatterjee, K., Goharshady, E., Karrabi, M., Motwani, H. J., Seeliger, M.,
    &#38; Zikelic, D. (2025). Quantified linear and polynomial arithmetic satisfiability
    via template-based skolemization. In <i>Proceedings of the 39th AAAI Conference
    on Artificial Intelligence</i> (Vol. 39, pp. 11158–11166). Philadelphia, PA, United
    States: Association for the Advancement of Artificial Intelligence. <a href="https://doi.org/10.1609/aaai.v39i11.33213">https://doi.org/10.1609/aaai.v39i11.33213</a>'
  chicago: Chatterjee, Krishnendu, Ehsan Goharshady, Mehrdad Karrabi, Harshit J. Motwani,
    Maximilian Seeliger, and Dorde Zikelic. “Quantified Linear and Polynomial Arithmetic
    Satisfiability via Template-Based Skolemization.” In <i>Proceedings of the 39th
    AAAI Conference on Artificial Intelligence</i>, 39:11158–66. Association for the
    Advancement of Artificial Intelligence, 2025. <a href="https://doi.org/10.1609/aaai.v39i11.33213">https://doi.org/10.1609/aaai.v39i11.33213</a>.
  ieee: K. Chatterjee, E. Goharshady, M. Karrabi, H. J. Motwani, M. Seeliger, and
    D. Zikelic, “Quantified linear and polynomial arithmetic satisfiability via template-based
    skolemization,” in <i>Proceedings of the 39th AAAI Conference on Artificial Intelligence</i>,
    Philadelphia, PA, United States, 2025, vol. 39, no. 11, pp. 11158–11166.
  ista: 'Chatterjee K, Goharshady E, Karrabi M, Motwani HJ, Seeliger M, Zikelic D.
    2025. Quantified linear and polynomial arithmetic satisfiability via template-based
    skolemization. Proceedings of the 39th AAAI Conference on Artificial Intelligence.
    AAAI: Conference on Artificial Intelligence vol. 39, 11158–11166.'
  mla: Chatterjee, Krishnendu, et al. “Quantified Linear and Polynomial Arithmetic
    Satisfiability via Template-Based Skolemization.” <i>Proceedings of the 39th AAAI
    Conference on Artificial Intelligence</i>, vol. 39, no. 11, Association for the
    Advancement of Artificial Intelligence, 2025, pp. 11158–66, doi:<a href="https://doi.org/10.1609/aaai.v39i11.33213">10.1609/aaai.v39i11.33213</a>.
  short: K. Chatterjee, E. Goharshady, M. Karrabi, H.J. Motwani, M. Seeliger, D. Zikelic,
    in:, Proceedings of the 39th AAAI Conference on Artificial Intelligence, Association
    for the Advancement of Artificial Intelligence, 2025, pp. 11158–11166.
conference:
  end_date: 2025-03-04
  location: Philadelphia, PA, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2025-02-25
corr_author: '1'
date_created: 2025-05-11T22:02:39Z
date_published: 2025-04-11T00:00:00Z
date_updated: 2026-09-16T06:55:21Z
day: '11'
department:
- _id: KrCh
doi: 10.1609/aaai.v39i11.33213
ec_funded: 1
external_id:
  arxiv:
  - '2412.16226'
fulldoi: https://doi.org/10.1609/aaai.v39i11.33213
intvolume: '        39'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2412.16226
month: '04'
oa: 1
oa_version: Preprint
page: 11158-11166
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: Proceedings of the 39th AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  issn:
  - 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantified linear and polynomial arithmetic satisfiability via template-based
  skolemization
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 39
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19669'
abstract:
- lang: eng
  text: 'We consider a class of optimization problems defined by a system of linear
    equations with min and max operators. This class of optimization problems has
    been studied under restrictive conditions, such as, (C1) the halting or stability
    condition; (C2) the non-negative coefficients condition; (C3) the sum upto 1 condition;
    and (C4) the only min or only max operator condition. Several seminal results
    in the literature focus on special cases. For example, turn-based stochastic games
    correspond to conditions C2 and C3; and Markov decision process to conditions
    C2, C3, and C4. However, the systematic computational complexity study of all
    the cases has not been explored, which we address in this work. Some highlights
    of our results are: with conditions C2 and C4, and with conditions C3 and C4,
    the problem is NP-complete, whereas with condition C1 only, the problem is in
    UP intersects coUP. Finally, we establish the computational complexity of the
    decision problem of checking the respective conditions.'
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt)
  grant and the Austrian Science Fund (FWF) 10.55776/COE12 grant.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ruichen
  full_name: Luo, Ruichen
  id: b391db08-1ffe-11ee-8b67-d18ddcfb5a14
  last_name: Luo
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Luo R, Saona Urmeneta RJ, Svoboda J. Linear equations with min
    and max operators: Computational complexity. In: <i>Proceedings of the 39th AAAI
    Conference on Artificial Intelligence</i>. Vol 39. Association for the Advancement
    of Artificial Intelligence; 2025:11150-11157. doi:<a href="https://doi.org/10.1609/aaai.v39i11.33212">10.1609/aaai.v39i11.33212</a>'
  apa: 'Chatterjee, K., Luo, R., Saona Urmeneta, R. J., &#38; Svoboda, J. (2025).
    Linear equations with min and max operators: Computational complexity. In <i>Proceedings
    of the 39th AAAI Conference on Artificial Intelligence</i> (Vol. 39, pp. 11150–11157).
    Philadelphia, PA, United States: Association for the Advancement of Artificial
    Intelligence. <a href="https://doi.org/10.1609/aaai.v39i11.33212">https://doi.org/10.1609/aaai.v39i11.33212</a>'
  chicago: 'Chatterjee, Krishnendu, Ruichen Luo, Raimundo J Saona Urmeneta, and Jakub
    Svoboda. “Linear Equations with Min and Max Operators: Computational Complexity.”
    In <i>Proceedings of the 39th AAAI Conference on Artificial Intelligence</i>,
    39:11150–57. Association for the Advancement of Artificial Intelligence, 2025.
    <a href="https://doi.org/10.1609/aaai.v39i11.33212">https://doi.org/10.1609/aaai.v39i11.33212</a>.'
  ieee: 'K. Chatterjee, R. Luo, R. J. Saona Urmeneta, and J. Svoboda, “Linear equations
    with min and max operators: Computational complexity,” in <i>Proceedings of the
    39th AAAI Conference on Artificial Intelligence</i>, Philadelphia, PA, United
    States, 2025, vol. 39, no. 11, pp. 11150–11157.'
  ista: 'Chatterjee K, Luo R, Saona Urmeneta RJ, Svoboda J. 2025. Linear equations
    with min and max operators: Computational complexity. Proceedings of the 39th
    AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial Intelligence
    vol. 39, 11150–11157.'
  mla: 'Chatterjee, Krishnendu, et al. “Linear Equations with Min and Max Operators:
    Computational Complexity.” <i>Proceedings of the 39th AAAI Conference on Artificial
    Intelligence</i>, vol. 39, no. 11, Association for the Advancement of Artificial
    Intelligence, 2025, pp. 11150–57, doi:<a href="https://doi.org/10.1609/aaai.v39i11.33212">10.1609/aaai.v39i11.33212</a>.'
  short: K. Chatterjee, R. Luo, R.J. Saona Urmeneta, J. Svoboda, in:, Proceedings
    of the 39th AAAI Conference on Artificial Intelligence, Association for the Advancement
    of Artificial Intelligence, 2025, pp. 11150–11157.
conference:
  end_date: 2025-03-04
  location: Philadelphia, PA, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2025-02-25
corr_author: '1'
date_created: 2025-05-11T22:02:40Z
date_published: 2025-04-11T00:00:00Z
date_updated: 2026-09-16T06:55:47Z
day: '11'
department:
- _id: KrCh
doi: 10.1609/aaai.v39i11.33212
ec_funded: 1
external_id:
  arxiv:
  - '2412.12228'
fulldoi: https://doi.org/10.1609/aaai.v39i11.33212
intvolume: '        39'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2412.12228
month: '04'
oa: 1
oa_version: Preprint
page: 11150-11157
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: Proceedings of the 39th AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  issn:
  - 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Linear equations with min and max operators: Computational complexity'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 39
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19771'
abstract:
- lang: eng
  text: "This artifact allows to review and reproduce the Isabelle proofs and practical
    experiments from the paper *Fixed Point Certificates for Reachability and Expected
    Rewards in MDPs*.\r\nThe contents are two-fold:\r\nFirst, the artifact contains
    a formally verified certificate checker for the certificates presented in the
    paper.\r\nThe formal Isabelle/HOL proofs of the background theory can be inspected,
    checked by Isabelle and the code extraction can be retraced.\r\n\r\nSecond, the
    artifact contains a modified version of the model checking tool `Storm` with support
    for certificate generation. Together with the provided scripts and benchmark files,
    this allows to reproduce the experiments from the paper.\r\nAn appropriate subset
    of the experiments is given to allow a review in a timely manner. In addition,
    original logfiles from our experiments are provided, allowing a detailed inspection.\r\n\r\nThe
    package includes convenient installation scripts for [the TACAS 2023 VM](https://doi.org/10.5281/zenodo.7113223)
    (based on Ubuntu 22.04).\r\nA native installation on Linux or macOS systems (including
    the newer ARM-based machines) is also possible."
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Tim
  full_name: Quatmann, Tim
  last_name: Quatmann
- first_name: Maximilian
  full_name: Schäffeler, Maximilian
  last_name: Schäffeler
- first_name: Maximilian
  full_name: Weininger, Maximilian
  id: 02ab0197-cc70-11ed-ab61-918e71f56881
  last_name: Weininger
  orcid: 0000-0002-0163-2152
- first_name: Tobias
  full_name: Winkler, Tobias
  last_name: Winkler
- first_name: Daniel
  full_name: Zilken, Daniel
  id: d8ebc24a-3f98-11f0-9044-8296d4f39ab3
  last_name: Zilken
citation:
  ama: 'Chatterjee K, Quatmann T, Schäffeler M, Weininger M, Winkler T, Zilken D.
    Artifact: Fixed point certificates for reachability and expected rewards in MDPs.
    2025. doi:<a href="https://doi.org/10.5281/ZENODO.14626585">10.5281/ZENODO.14626585</a>'
  apa: 'Chatterjee, K., Quatmann, T., Schäffeler, M., Weininger, M., Winkler, T.,
    &#38; Zilken, D. (2025). Artifact: Fixed point certificates for reachability and
    expected rewards in MDPs. Zenodo. <a href="https://doi.org/10.5281/ZENODO.14626585">https://doi.org/10.5281/ZENODO.14626585</a>'
  chicago: 'Chatterjee, Krishnendu, Tim Quatmann, Maximilian Schäffeler, Maximilian
    Weininger, Tobias Winkler, and Daniel Zilken. “Artifact: Fixed Point Certificates
    for Reachability and Expected Rewards in MDPs.” Zenodo, 2025. <a href="https://doi.org/10.5281/ZENODO.14626585">https://doi.org/10.5281/ZENODO.14626585</a>.'
  ieee: 'K. Chatterjee, T. Quatmann, M. Schäffeler, M. Weininger, T. Winkler, and
    D. Zilken, “Artifact: Fixed point certificates for reachability and expected rewards
    in MDPs.” Zenodo, 2025.'
  ista: 'Chatterjee K, Quatmann T, Schäffeler M, Weininger M, Winkler T, Zilken D.
    2025. Artifact: Fixed point certificates for reachability and expected rewards
    in MDPs, Zenodo, <a href="https://doi.org/10.5281/ZENODO.14626585">10.5281/ZENODO.14626585</a>.'
  mla: 'Chatterjee, Krishnendu, et al. <i>Artifact: Fixed Point Certificates for Reachability
    and Expected Rewards in MDPs</i>. Zenodo, 2025, doi:<a href="https://doi.org/10.5281/ZENODO.14626585">10.5281/ZENODO.14626585</a>.'
  short: K. Chatterjee, T. Quatmann, M. Schäffeler, M. Weininger, T. Winkler, D. Zilken,
    (2025).
date_created: 2025-06-02T10:13:24Z
date_published: 2025-01-09T00:00:00Z
date_updated: 2026-09-16T06:57:17Z
day: '09'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.5281/ZENODO.14626585
fulldoi: https://doi.org/10.5281/ZENODO.14626585
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/ZENODO.14626585
month: '01'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
  record:
  - id: '19743'
    relation: used_in_publication
    status: public
status: public
title: 'Artifact: Fixed point certificates for reachability and expected rewards in
  MDPs'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19843'
abstract:
- lang: eng
  text: 'Social dilemmas are collective-action problems where individual interests
    are at odds with group interests. Such dilemmas occur frequently at all scales
    of human interactions. When dealing with collective-action problems, people often
    act reciprocally. They adjust their behavior to match the previous behavior of
    the recipient. The literature distinguishes two kinds of reciprocity. According
    to direct reciprocity, individuals react to their immediate experiences with the
    recipient. They are more likely to cooperate if the recipient previously cooperated
    with them. According to indirect reciprocity, individuals react to the recipient’s
    general behavior, irrespectively of whether or not they benefited directly. In
    practice, the two kinds of reciprocity are often intertwined; people typically
    base their decisions on both direct experiences and indirect observations. Yet
    only recently have researchers begun to explore how the two kinds of reciprocity
    interact. So far, this research only addresses a single type of social dilemma,
    the donation game, where the effects of individual behaviors are independent.
    Instead, here we allow for all pairwise social dilemmas. By applying novel techniques
    to generalize the theory of zero-determinant strategies, we establish an important
    proof of principle: In all social dilemmas, socially optimal outcomes can be sustained
    as an equilibrium, using either direct or indirect reciprocity, or arbitrary mixtures
    thereof. These results neither require games to be repeated infinitely often,
    nor that individual opinions are synchronized. In this way, we considerably generalize
    the scope of models of reciprocity, and we build further bridges between the literatures
    on direct and indirect reciprocity.'
acknowledgement: 'This work was supported by the European Research Council CoG 863818
  (ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529:
  E-DIRECT (to C.H.).'
article_number: pgaf154
article_processing_charge: Yes
article_type: original
author:
- first_name: Valentin
  full_name: Hübner, Valentin
  id: 2c8aa207-dc7d-11ea-9b2f-f22972ecd910
  last_name: Hübner
  orcid: 0009-0001-5009-4987
- first_name: Laura
  full_name: Schmid, Laura
  id: 38B437DE-F248-11E8-B48F-1D18A9856A87
  last_name: Schmid
  orcid: 0000-0002-6978-7329
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Hübner V, Schmid L, Hilbe C, Chatterjee K. Stable strategies of direct and
    indirect reciprocity across all social dilemmas. <i>PNAS Nexus</i>. 2025;4(5).
    doi:<a href="https://doi.org/10.1093/pnasnexus/pgaf154">10.1093/pnasnexus/pgaf154</a>
  apa: Hübner, V., Schmid, L., Hilbe, C., &#38; Chatterjee, K. (2025). Stable strategies
    of direct and indirect reciprocity across all social dilemmas. <i>PNAS Nexus</i>.
    Oxford University Press. <a href="https://doi.org/10.1093/pnasnexus/pgaf154">https://doi.org/10.1093/pnasnexus/pgaf154</a>
  chicago: Hübner, Valentin, Laura Schmid, Christian Hilbe, and Krishnendu Chatterjee.
    “Stable Strategies of Direct and Indirect Reciprocity across All Social Dilemmas.”
    <i>PNAS Nexus</i>. Oxford University Press, 2025. <a href="https://doi.org/10.1093/pnasnexus/pgaf154">https://doi.org/10.1093/pnasnexus/pgaf154</a>.
  ieee: V. Hübner, L. Schmid, C. Hilbe, and K. Chatterjee, “Stable strategies of direct
    and indirect reciprocity across all social dilemmas,” <i>PNAS Nexus</i>, vol.
    4, no. 5. Oxford University Press, 2025.
  ista: Hübner V, Schmid L, Hilbe C, Chatterjee K. 2025. Stable strategies of direct
    and indirect reciprocity across all social dilemmas. PNAS Nexus. 4(5), pgaf154.
  mla: Hübner, Valentin, et al. “Stable Strategies of Direct and Indirect Reciprocity
    across All Social Dilemmas.” <i>PNAS Nexus</i>, vol. 4, no. 5, pgaf154, Oxford
    University Press, 2025, doi:<a href="https://doi.org/10.1093/pnasnexus/pgaf154">10.1093/pnasnexus/pgaf154</a>.
  short: V. Hübner, L. Schmid, C. Hilbe, K. Chatterjee, PNAS Nexus 4 (2025).
corr_author: '1'
date_created: 2025-06-15T22:01:30Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2026-09-16T06:58:23Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1093/pnasnexus/pgaf154
ec_funded: 1
external_id:
  pmid:
  - '40417077'
file:
- access_level: open_access
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  creator: dernst
  date_created: 2025-06-23T08:09:50Z
  date_updated: 2025-06-23T08:09:50Z
  file_id: '19867'
  file_name: 2025_PNASNexus_Huebner.pdf
  file_size: 2551195
  relation: main_file
  success: 1
file_date_updated: 2025-06-23T08:09:50Z
fulldoi: https://doi.org/10.1093/pnasnexus/pgaf154
has_accepted_license: '1'
intvolume: '         4'
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: PNAS Nexus
publication_identifier:
  eissn:
  - 2752-6542
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
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  - id: '19903'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Stable strategies of direct and indirect reciprocity across all social dilemmas
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19074'
abstract:
- lang: eng
  text: 'The public goods game is among the most studied metaphors of cooperation
    in groups. In this game, individuals can use their endowments to make contributions
    towards a good that benefits everyone. Each individual, however, is tempted to
    free-ride on the contributions of others. Herein, we study repeated public goods
    games among asymmetric players. Previous work has explored to which extent asymmetry
    allows for full cooperation, such that players contribute their full endowment
    each round. However, by design that work focusses on equilibria where individuals
    make the same contribution each round. Instead, here we consider players whose
    contributions along the equilibrium path can change from one round to the next.
    We do so for three different models – one without any budget constraints, one
    with endowment constraints, and one in which individuals can save their current
    endowment to be used in subsequent rounds. In each case, we explore two key quantities:
    the welfare and the resource efficiency that can be achieved in equilibrium. Welfare
    corresponds to the sum of all players’ payoffs. Resource efficiency relates this
    welfare to the total contributions made by the players. Compared to constant contribution
    sequences, we find that time-dependent contributions can improve resource efficiency
    across all three models. Moreover, they can improve the players’ welfare in the
    model with savings.'
acknowledgement: 'This work was supported by the European Research Council CoG 863818
  (ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529:
  E-DIRECT (to C.H.), the European Union’s Horizon 2020 research and innovation programme
  under the Marie Skłodowska-Curie Grant Agreement #754411 and the French Agence Nationale
  de la Recherche (under the Investissement d’Avenir programme, ANR-17-EURE-0010),
  and ARC SRIEAS Grant SR200100005 Securing Antarctica’s Environmental Future (to
  M.K.). Open access funding provided by Institute of Science and Technology (IST
  Austria).'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Valentin
  full_name: Hübner, Valentin
  id: 2c8aa207-dc7d-11ea-9b2f-f22972ecd910
  last_name: Hübner
  orcid: 0009-0001-5009-4987
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Manuel
  full_name: Staab, Manuel
  last_name: Staab
- first_name: Maria
  full_name: Kleshnina, Maria
  id: 4E21749C-F248-11E8-B48F-1D18A9856A87
  last_name: Kleshnina
  orcid: 0000-0002-5518-8317
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Hübner V, Hilbe C, Staab M, Kleshnina M, Chatterjee K. Time-dependent strategies
    in repeated asymmetric public goods games. <i>Dynamic Games and Applications</i>.
    2025;15:1617-1645. doi:<a href="https://doi.org/10.1007/s13235-025-00627-5">10.1007/s13235-025-00627-5</a>
  apa: Hübner, V., Hilbe, C., Staab, M., Kleshnina, M., &#38; Chatterjee, K. (2025).
    Time-dependent strategies in repeated asymmetric public goods games. <i>Dynamic
    Games and Applications</i>. Springer Nature. <a href="https://doi.org/10.1007/s13235-025-00627-5">https://doi.org/10.1007/s13235-025-00627-5</a>
  chicago: Hübner, Valentin, Christian Hilbe, Manuel Staab, Maria Kleshnina, and Krishnendu
    Chatterjee. “Time-Dependent Strategies in Repeated Asymmetric Public Goods Games.”
    <i>Dynamic Games and Applications</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s13235-025-00627-5">https://doi.org/10.1007/s13235-025-00627-5</a>.
  ieee: V. Hübner, C. Hilbe, M. Staab, M. Kleshnina, and K. Chatterjee, “Time-dependent
    strategies in repeated asymmetric public goods games,” <i>Dynamic Games and Applications</i>,
    vol. 15. Springer Nature, pp. 1617–1645, 2025.
  ista: Hübner V, Hilbe C, Staab M, Kleshnina M, Chatterjee K. 2025. Time-dependent
    strategies in repeated asymmetric public goods games. Dynamic Games and Applications.
    15, 1617–1645.
  mla: Hübner, Valentin, et al. “Time-Dependent Strategies in Repeated Asymmetric
    Public Goods Games.” <i>Dynamic Games and Applications</i>, vol. 15, Springer
    Nature, 2025, pp. 1617–45, doi:<a href="https://doi.org/10.1007/s13235-025-00627-5">10.1007/s13235-025-00627-5</a>.
  short: V. Hübner, C. Hilbe, M. Staab, M. Kleshnina, K. Chatterjee, Dynamic Games
    and Applications 15 (2025) 1617–1645.
corr_author: '1'
date_created: 2025-02-23T23:01:57Z
date_published: 2025-11-01T00:00:00Z
date_updated: 2026-09-16T06:58:23Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s13235-025-00627-5
ec_funded: 1
external_id:
  isi:
  - '001415587800001'
file:
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  date_updated: 2025-12-30T08:01:35Z
  file_id: '20888'
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file_date_updated: 2025-12-30T08:01:35Z
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has_accepted_license: '1'
intvolume: '        15'
isi: 1
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 1617-1645
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Dynamic Games and Applications
publication_identifier:
  eissn:
  - 2153-0793
  issn:
  - 2153-0785
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '19903'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Time-dependent strategies in repeated asymmetric public goods games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20299'
abstract:
- lang: eng
  text: "Deterministic Markov Decision Processes (DMDPs) are a mathematical framework
    for decision-making where the outcomes and future possible actions are deterministically
    determined by the current action taken. DMDPs can be viewed as a finite directed
    weighted graph, where in each step, the controller chooses an outgoing edge. An
    objective is a measurable function on runs (or infinite trajectories) of the DMDP,
    and the value for an objective is the maximal cumulative reward (or weight) that
    the controller can guarantee. We consider the classical mean-payoff (aka limit-average)
    objective, which is a basic and fundamental objective.\r\n\r\nHoward's policy
    iteration algorithm is a popular method for solving DMDPs with mean-payoff objectives.
    Although Howard's algorithm performs well in practice, as experimental studies
    suggested, the best known upper bound is exponential and the current known lower
    bound is as follows: For the input size I, the algorithm requires (math formular)
    iterations, where (math formular) hides the poly-logarithmic factors, i.e., the
    current lower bound on iterations is sub-linear with respect to the input size.
    Our main result is an improved lower bound for this fundamental algorithm where
    we show that for the input size I, the algorithm requires (math formular) iterations."
acknowledgement: "This research was partially supported by the ERC CoG 863818 (ForM-SMArt)
  grant and Austrian Science Fund (FWF) 10.55776/COE12.\r\n"
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Ali
  full_name: Asadi, Ali
  id: 02d96aae-000e-11ec-b801-cadd0a5eefbb
  last_name: Asadi
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Jakob
  full_name: De Raaij, Jakob
  last_name: De Raaij
citation:
  ama: 'Asadi A, Chatterjee K, De Raaij J. Lower bound on Howard policy iteration
    for deterministic Markov Decision Processes. In: <i>The 41st Conference on Uncertainty
    in Artificial Intelligence</i>. Vol 286. ML Research Press; 2025:223-232.'
  apa: 'Asadi, A., Chatterjee, K., &#38; De Raaij, J. (2025). Lower bound on Howard
    policy iteration for deterministic Markov Decision Processes. In <i>The 41st Conference
    on Uncertainty in Artificial Intelligence</i> (Vol. 286, pp. 223–232). Rio de
    Janeiro, Brazil: ML Research Press.'
  chicago: Asadi, Ali, Krishnendu Chatterjee, and Jakob De Raaij. “Lower Bound on
    Howard Policy Iteration for Deterministic Markov Decision Processes.” In <i>The
    41st Conference on Uncertainty in Artificial Intelligence</i>, 286:223–32. ML
    Research Press, 2025.
  ieee: A. Asadi, K. Chatterjee, and J. De Raaij, “Lower bound on Howard policy iteration
    for deterministic Markov Decision Processes,” in <i>The 41st Conference on Uncertainty
    in Artificial Intelligence</i>, Rio de Janeiro, Brazil, 2025, vol. 286, pp. 223–232.
  ista: 'Asadi A, Chatterjee K, De Raaij J. 2025. Lower bound on Howard policy iteration
    for deterministic Markov Decision Processes. The 41st Conference on Uncertainty
    in Artificial Intelligence. UAI: Conference on Uncertainty in Artificial Intelligence,
    PMLR, vol. 286, 223–232.'
  mla: Asadi, Ali, et al. “Lower Bound on Howard Policy Iteration for Deterministic
    Markov Decision Processes.” <i>The 41st Conference on Uncertainty in Artificial
    Intelligence</i>, vol. 286, ML Research Press, 2025, pp. 223–32.
  short: A. Asadi, K. Chatterjee, J. De Raaij, in:, The 41st Conference on Uncertainty
    in Artificial Intelligence, ML Research Press, 2025, pp. 223–232.
conference:
  end_date: 2025-07-25
  location: Rio de Janeiro, Brazil
  name: 'UAI: Conference on Uncertainty in Artificial Intelligence'
  start_date: 2025-07-21
corr_author: '1'
date_created: 2025-09-07T22:01:34Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2026-09-16T07:01:05Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
ec_funded: 1
external_id:
  arxiv:
  - '2506.12254'
file:
- access_level: open_access
  checksum: 4180c81bb6ed3b4f5c7a8e48d06520c6
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-09T06:27:59Z
  date_updated: 2025-09-09T06:27:59Z
  file_id: '20313'
  file_name: 2025_UAI_Asadi.pdf
  file_size: 317097
  relation: main_file
  success: 1
file_date_updated: 2025-09-09T06:27:59Z
has_accepted_license: '1'
intvolume: '       286'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 223-232
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: The 41st Conference on Uncertainty in Artificial Intelligence
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lower bound on Howard policy iteration for deterministic Markov Decision Processes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 286
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20297'
abstract:
- lang: eng
  text: "A standard model that arises in several applications in sequential decision-making
    is partially observable Markov decision processes (POMDPs) where a decision-making
    agent interacts with an uncertain environment. A basic objective in POMDPs is
    the reachability objective, where given a target set of states, the goal is to
    eventually arrive at one of them.\r\n\r\nThe limit-sure problem asks whether reachability
    can be ensured with probability arbitrarily close to 1. In general, the limit-sure
    reachability problem for POMDPs is undecidable. However, in many practical cases,
    the most relevant question is the existence of policies with a small amount of
    memory. In this work, we study the limit-sure reachability problem for POMDPs
    with a fixed amount of memory. We establish that the computational complexity
    of the problem is NP-complete."
acknowledgement: This research was partially supported by Austrian Science Fund (FWF)
  10.55776/COE12, the support of the French Agence Nationale de la Recherche (ANR)
  under reference ANR-21-CE40-0020 (CONVERGENCE project), and the ERC CoG 863818 (ForM-SMArt)
  grant.
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Ali
  full_name: Asadi, Ali
  id: 02d96aae-000e-11ec-b801-cadd0a5eefbb
  last_name: Asadi
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Ali
  full_name: Shafiee, Ali
  id: 2783031a-7378-11f0-b2d0-f17f1db2ebad
  last_name: Shafiee
citation:
  ama: 'Asadi A, Chatterjee K, Saona Urmeneta RJ, Shafiee A. Limit-sure reachability
    for small memory policies in POMDPs is NP-complete. In: <i>The 41st Conference
    on Uncertainty in Artificial Intelligence</i>. Vol 286. ML Research Press; 2025:238-247.'
  apa: 'Asadi, A., Chatterjee, K., Saona Urmeneta, R. J., &#38; Shafiee, A. (2025).
    Limit-sure reachability for small memory policies in POMDPs is NP-complete. In
    <i>The 41st Conference on Uncertainty in Artificial Intelligence</i> (Vol. 286,
    pp. 238–247). Rio de Janeiro, Brazil: ML Research Press.'
  chicago: Asadi, Ali, Krishnendu Chatterjee, Raimundo J Saona Urmeneta, and Ali Shafiee.
    “Limit-Sure Reachability for Small Memory Policies in POMDPs Is NP-Complete.”
    In <i>The 41st Conference on Uncertainty in Artificial Intelligence</i>, 286:238–47.
    ML Research Press, 2025.
  ieee: A. Asadi, K. Chatterjee, R. J. Saona Urmeneta, and A. Shafiee, “Limit-sure
    reachability for small memory policies in POMDPs is NP-complete,” in <i>The 41st
    Conference on Uncertainty in Artificial Intelligence</i>, Rio de Janeiro, Brazil,
    2025, vol. 286, pp. 238–247.
  ista: 'Asadi A, Chatterjee K, Saona Urmeneta RJ, Shafiee A. 2025. Limit-sure reachability
    for small memory policies in POMDPs is NP-complete. The 41st Conference on Uncertainty
    in Artificial Intelligence. UAI: Conference on Uncertainty in Artificial Intelligence,
    PMLR, vol. 286, 238–247.'
  mla: Asadi, Ali, et al. “Limit-Sure Reachability for Small Memory Policies in POMDPs
    Is NP-Complete.” <i>The 41st Conference on Uncertainty in Artificial Intelligence</i>,
    vol. 286, ML Research Press, 2025, pp. 238–47.
  short: A. Asadi, K. Chatterjee, R.J. Saona Urmeneta, A. Shafiee, in:, The 41st Conference
    on Uncertainty in Artificial Intelligence, ML Research Press, 2025, pp. 238–247.
conference:
  end_date: 2025-07-25
  location: Rio de Janeiro, Brazil
  name: 'UAI: Conference on Uncertainty in Artificial Intelligence'
  start_date: 2025-07-21
corr_author: '1'
date_created: 2025-09-07T22:01:34Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-09-16T07:03:02Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
ec_funded: 1
external_id:
  arxiv:
  - '2412.00941'
file:
- access_level: open_access
  checksum: 1a37ebe7ba73ab6985765bf0d17a0acc
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-09T08:19:41Z
  date_updated: 2025-09-09T08:19:41Z
  file_id: '20315'
  file_name: 2025_UAI_AsadiAli.pdf
  file_size: 307458
  relation: main_file
  success: 1
file_date_updated: 2025-09-09T08:19:41Z
has_accepted_license: '1'
intvolume: '       286'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 238-247
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
publication: The 41st Conference on Uncertainty in Artificial Intelligence
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Limit-sure reachability for small memory policies in POMDPs is NP-complete
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 286
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20296'
abstract:
- lang: eng
  text: Learning-based systems are increasingly deployed across various domains, yet
    the complexity of traditional neural networks poses significant challenges for
    formal verification. Unlike conventional neural networks, learned Logic Gate Networks
    (LGNs) replace multiplications with Boolean logic gates, yielding a sparse, netlist-like
    architecture that is inherently more amenable to symbolic verification, while
    still delivering promising performance. In this paper, we introduce a SAT encoding
    for verifying global robustness and fairness in LGNs. We evaluate our method on
    five benchmark datasets, including a newly constructed 5-class variant, and find
    that LGNs are both verification-friendly and maintain strong predictive performance.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "This work is supported in part by the ERC grant under Grant No.
  ERC-2020-AdG 101020093 and\r\nthe Austrian Science Fund (FWF) [10.55776/COE12].
  This research was supported by the Scientific\r\nService Units (SSU) of ISTA through
  resources provided by Scientific Computing (SciComp)."
alternative_title:
- PMLR
article_number: '26'
article_processing_charge: No
arxiv: 1
author:
- first_name: Fabian
  full_name: Kresse, Fabian
  id: faff3c84-23f6-11ef-9085-e5187b51c604
  last_name: Kresse
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
citation:
  ama: 'Kresse F, Yu E, Lampert C, Henzinger TA. Logic gate neural networks are good
    for verification. In: <i>2nd International Conferenceon Neuro-Symbolic Systems</i>.
    Vol 288. ML Research Press; 2025.'
  apa: 'Kresse, F., Yu, E., Lampert, C., &#38; Henzinger, T. A. (2025). Logic gate
    neural networks are good for verification. In <i>2nd International Conferenceon
    Neuro-Symbolic Systems</i> (Vol. 288). Philadephia, PA, United States: ML Research
    Press.'
  chicago: Kresse, Fabian, Emily Yu, Christoph Lampert, and Thomas A Henzinger. “Logic
    Gate Neural Networks Are Good for Verification.” In <i>2nd International Conferenceon
    Neuro-Symbolic Systems</i>, Vol. 288. ML Research Press, 2025.
  ieee: F. Kresse, E. Yu, C. Lampert, and T. A. Henzinger, “Logic gate neural networks
    are good for verification,” in <i>2nd International Conferenceon Neuro-Symbolic
    Systems</i>, Philadephia, PA, United States, 2025, vol. 288.
  ista: 'Kresse F, Yu E, Lampert C, Henzinger TA. 2025. Logic gate neural networks
    are good for verification. 2nd International Conferenceon Neuro-Symbolic Systems.
    NeuS: International Conferenceon Neuro-Symbolic Systems, PMLR, vol. 288, 26.'
  mla: Kresse, Fabian, et al. “Logic Gate Neural Networks Are Good for Verification.”
    <i>2nd International Conferenceon Neuro-Symbolic Systems</i>, vol. 288, 26, ML
    Research Press, 2025.
  short: F. Kresse, E. Yu, C. Lampert, T.A. Henzinger, in:, 2nd International Conferenceon
    Neuro-Symbolic Systems, ML Research Press, 2025.
conference:
  end_date: 2025-05-30
  location: Philadephia, PA, United States
  name: 'NeuS: International Conferenceon Neuro-Symbolic Systems'
  start_date: 2025-05-28
corr_author: '1'
date_created: 2025-09-07T22:01:34Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2026-09-16T07:02:18Z
day: '01'
ddc:
- '000'
department:
- _id: ChLa
- _id: ToHe
ec_funded: 1
external_id:
  arxiv:
  - '2505.19932'
file:
- access_level: open_access
  checksum: 90a32defed34787e771a5c1623b6b0d2
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-09T08:10:13Z
  date_updated: 2025-09-09T08:10:13Z
  file_id: '20314'
  file_name: 2025_NeuS_Kresse.pdf
  file_size: 295466
  relation: main_file
  success: 1
file_date_updated: 2025-09-09T08:10:13Z
has_accepted_license: '1'
intvolume: '       288'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
- _id: d8f03aaa-b035-11f1-8588-d5147fa879e0
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Lampert)
publication: 2nd International Conferenceon Neuro-Symbolic Systems
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Logic gate neural networks are good for verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 288
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19508'
abstract:
- lang: eng
  text: We consider random two-player zero-sum dynamic games with perfect information
    on a class of infinite directed graphs. Starting from a fixed vertex, the players
    take turns to move a token along the edges of the graph. Every vertex is assigned
    a payoff known in advance by both players. Every time the token visits a vertex,
    Player 2 pays Player 1 the corresponding payoff. We consider a distribution over
    such games by assigning i.i.d. payoffs to the vertices. On the one hand, for acyclic
    directed graphs of bounded degree and sub-exponential expansion, we show that,
    when the duration of the game tends to infinity, the value converges almost surely
    to a constant at an exponential rate dominated in terms of the expansion. On the
    other hand, for the infinite d-ary tree (that does not fall into the previous
    class of graphs), we show convergence at a double-exponential rate.
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria). This work was supported by the French Agence Nationale de la Recherche
  (ANR) under references ANR-21-CE40-0020 (CONVERGENCE project) and ANR-20-CE40-0002
  (GrHyDy), by Fondecyt grant 1220174, by ANID Chile grant ACT210005, and by the ERC
  CoG 863818 (ForM-SMArt) grant. This collaboration was mainly conducted during a
  1-year visit of Bruno Ziliotto to the Center for Mathematical Modeling (CMM) at
  University of Chile in 2023, under the IRL program of CNRS. This work was supported
  by Fondation CFM pour la Recherche. This paper has also been funded by the Agence
  Nationale de la Recherche under grant ANR-17-EURE-0010 (Investissements d’Avenir
  program).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Luc
  full_name: Attia, Luc
  last_name: Attia
- first_name: Lyuben
  full_name: Lichev, Lyuben
  id: 9aa8388e-d003-11ee-8458-c4c1d7447977
  last_name: Lichev
- first_name: Dieter
  full_name: Mitsche, Dieter
  last_name: Mitsche
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Bruno
  full_name: Ziliotto, Bruno
  last_name: Ziliotto
citation:
  ama: Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. Random zero-sum
    dynamic games on infinite directed graphs. <i>Dynamic Games and Applications</i>.
    2025;15:1517-1535. doi:<a href="https://doi.org/10.1007/s13235-025-00636-4">10.1007/s13235-025-00636-4</a>
  apa: Attia, L., Lichev, L., Mitsche, D., Saona Urmeneta, R. J., &#38; Ziliotto,
    B. (2025). Random zero-sum dynamic games on infinite directed graphs. <i>Dynamic
    Games and Applications</i>. Springer Nature. <a href="https://doi.org/10.1007/s13235-025-00636-4">https://doi.org/10.1007/s13235-025-00636-4</a>
  chicago: Attia, Luc, Lyuben Lichev, Dieter Mitsche, Raimundo J Saona Urmeneta, and
    Bruno Ziliotto. “Random Zero-Sum Dynamic Games on Infinite Directed Graphs.” <i>Dynamic
    Games and Applications</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s13235-025-00636-4">https://doi.org/10.1007/s13235-025-00636-4</a>.
  ieee: L. Attia, L. Lichev, D. Mitsche, R. J. Saona Urmeneta, and B. Ziliotto, “Random
    zero-sum dynamic games on infinite directed graphs,” <i>Dynamic Games and Applications</i>,
    vol. 15. Springer Nature, pp. 1517–1535, 2025.
  ista: Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. 2025. Random
    zero-sum dynamic games on infinite directed graphs. Dynamic Games and Applications.
    15, 1517–1535.
  mla: Attia, Luc, et al. “Random Zero-Sum Dynamic Games on Infinite Directed Graphs.”
    <i>Dynamic Games and Applications</i>, vol. 15, Springer Nature, 2025, pp. 1517–35,
    doi:<a href="https://doi.org/10.1007/s13235-025-00636-4">10.1007/s13235-025-00636-4</a>.
  short: L. Attia, L. Lichev, D. Mitsche, R.J. Saona Urmeneta, B. Ziliotto, Dynamic
    Games and Applications 15 (2025) 1517–1535.
corr_author: '1'
date_created: 2025-04-06T22:01:32Z
date_published: 2025-11-01T00:00:00Z
date_updated: 2026-09-16T07:00:33Z
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title: Random zero-sum dynamic games on infinite directed graphs
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