---
_id: '14867'
abstract:
- lang: eng
  text: <jats:p>Starting with the empty graph on $[n]$, at each round, a set of $K=K(n)$
    edges is presented chosen uniformly at random from the ones that have not been
    presented yet. We are then asked to choose at most one of the presented edges
    and add it to the current graph. Our goal is to construct a Hamiltonian graph
    with $(1+o(1))n$ edges within as few rounds as possible. We show that in this
    process, one can build a Hamiltonian graph of size $(1+o(1))n$ in $(1+o(1))(1+(\log
    n)/2K) n$ rounds w.h.p. The case $K=1$ implies that w.h.p. one can build a Hamiltonian
    graph by choosing $(1+o(1))n$ edges in an online fashion as they appear along
    the first $(0.5+o(1))n\log n$ rounds of the random graph process. This answers
    a question of Frieze, Krivelevich and Michaeli. Observe that the number of rounds
    is asymptotically optimal as the first $0.5n\log n$ edges do not span a Hamilton
    cycle w.h.p. The case $K=\Theta(\log n)$ implies that the Hamiltonicity threshold
    of the corresponding Achlioptas process is at most $(1+o(1))(1+(\log n)/2K) n$.
    This matches the $(1-o(1))(1+(\log n)/2K) n$ lower bound due to Krivelevich, Lubetzky
    and Sudakov and resolves the problem of determining the Hamiltonicity threshold
    of the Achlioptas process with $K=\Theta(\log n)$. We also show that in the above
    process one can construct a graph $G$ that spans a matching of size $\lfloor V(G)/2)
    \rfloor$ and $(0.5+o(1))n$ edges within $(1+o(1))(0.5+(\log n)/2K) n$ rounds w.h.p.
    Our proof relies on a robust Hamiltonicity property of the strong $4$-core of
    the binomial random graph which we use as a black-box. This property allows it
    to absorb paths covering vertices outside the strong $4$-core into a cycle.</jats:p>
acknowledgement: "This project has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
  No 101034413.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Michael
  full_name: Anastos, Michael
  id: 0b2a4358-bb35-11ec-b7b9-e3279b593dbb
  last_name: Anastos
citation:
  ama: 'Anastos M. Constructing Hamilton cycles and perfect matchings efficiently.
    In: <i>Proceedings of the 12th European Conference on Combinatorics, Graph Theory
    and Applications</i>. Masaryk University Press; 2023:36-41. doi:<a href="https://doi.org/10.5817/cz.muni.eurocomb23-005">10.5817/cz.muni.eurocomb23-005</a>'
  apa: 'Anastos, M. (2023). Constructing Hamilton cycles and perfect matchings efficiently.
    In <i>Proceedings of the 12th European Conference on Combinatorics, Graph Theory
    and Applications</i> (pp. 36–41). Prague, Czech Republic: Masaryk University Press.
    <a href="https://doi.org/10.5817/cz.muni.eurocomb23-005">https://doi.org/10.5817/cz.muni.eurocomb23-005</a>'
  chicago: Anastos, Michael. “Constructing Hamilton Cycles and Perfect Matchings Efficiently.”
    In <i>Proceedings of the 12th European Conference on Combinatorics, Graph Theory
    and Applications</i>, 36–41. Masaryk University Press, 2023. <a href="https://doi.org/10.5817/cz.muni.eurocomb23-005">https://doi.org/10.5817/cz.muni.eurocomb23-005</a>.
  ieee: M. Anastos, “Constructing Hamilton cycles and perfect matchings efficiently,”
    in <i>Proceedings of the 12th European Conference on Combinatorics, Graph Theory
    and Applications</i>, Prague, Czech Republic, 2023, pp. 36–41.
  ista: 'Anastos M. 2023. Constructing Hamilton cycles and perfect matchings efficiently.
    Proceedings of the 12th European Conference on Combinatorics, Graph Theory and
    Applications. EUROCOMB: European Conference on Combinatorics, Graph Theory and
    Applications, 36–41.'
  mla: Anastos, Michael. “Constructing Hamilton Cycles and Perfect Matchings Efficiently.”
    <i>Proceedings of the 12th European Conference on Combinatorics, Graph Theory
    and Applications</i>, Masaryk University Press, 2023, pp. 36–41, doi:<a href="https://doi.org/10.5817/cz.muni.eurocomb23-005">10.5817/cz.muni.eurocomb23-005</a>.
  short: M. Anastos, in:, Proceedings of the 12th European Conference on Combinatorics,
    Graph Theory and Applications, Masaryk University Press, 2023, pp. 36–41.
conference:
  end_date: 2023-09-01
  location: Prague, Czech Republic
  name: 'EUROCOMB: European Conference on Combinatorics, Graph Theory and Applications'
  start_date: 2023-08-28
corr_author: '1'
date_created: 2024-01-22T12:20:15Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2025-09-09T14:24:21Z
day: '01'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.5817/cz.muni.eurocomb23-005
ec_funded: 1
external_id:
  arxiv:
  - '2209.09860'
  isi:
  - '001448447300005'
file:
- access_level: open_access
  checksum: fb1d9a1e7389d90ec0e5e76934373cf8
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-24T09:34:43Z
  date_updated: 2024-01-24T09:34:43Z
  file_id: '14881'
  file_name: 2023_Eurocomb_Anastos.pdf
  file_size: 464230
  relation: main_file
  success: 1
file_date_updated: 2024-01-24T09:34:43Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 36-41
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Proceedings of the 12th European Conference on Combinatorics, Graph Theory
  and Applications
publication_identifier:
  eissn:
  - 2788-3116
publication_status: published
publisher: Masaryk University Press
quality_controlled: '1'
status: public
title: Constructing Hamilton cycles and perfect matchings efficiently
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2023'
...
---
_id: '14868'
abstract:
- lang: eng
  text: The role of nuclear pore complexes (NPCs) in genome organization remains poorly
    characterized due to technical limitations in probing genome-wide protein-DNA
    interactions specific to the nuclear periphery. Here, we developed a new sensitive
    method, NPC-DamID, which combines in vitro reconstitution of nuclear import and
    DamID technology. The fixation-free method identifies chromatin interactions at
    the NPCs in intact nuclei from cells and tissues. We found that NPCs are preferentially
    associated with common and hierarchically arranged super-enhancers (SEs) across
    multiple cell types. We also uncovered phase-separated condensates at NPCs that
    compartmentalize and concentrate transcriptional coactivators and structural proteins
    at SE-regulated genes. Our results support NPCs as anchoring sites for SE regulatory
    hubs and cell-type-specific transcriptional control.
acknowledgement: "This work was supported by M.H.’s NIH R01 grants (NS096786, GM126829)
  and Salk Cancer Center Support Grant P30 CA014195. M.H. also received financial
  support from the W.M. Keck Foundation and the NOMIS Foundation. Further, M.H. received
  support from the AHA-Allen Initiative in Brain Health and Cognitive Impairment award
  made jointly through the American Heart Association and The Paul G. Allen Frontiers
  Group (19PABH134610000).\r\n\r\nS.T. and J.C. were supported by Salk’s Women & Science
  Awards. S.T. also received financial support from the Hewitt Foundation fellowship,
  and J.C. is a Paul F. Glenn Biology of Aging fellow. J.H. was supported by the National
  Natural Science Foundation of China (31871317 and 32070635).\r\n\r\nWe thank Roberta
  Schulte for assistance with in vitro transport assays, for comments that greatly
  improved the manuscript, and for helping refine the figures presented in this work.
  We thank Shefali Krishna for creating the diagram for the NPC-DamID method, for
  her input on super-resolution microscopy analysis, and her insightful comments on
  this manuscript. We thank all members of the Hetzer lab for helpful discussions
  of these research ideas and their thoughtful comments on this manuscript. We are
  also grateful to Salk’s core facilities for their assistance. Specifically, we thank
  the Next Generation Sequencing Core (NGS) for sequencing our DamID and RNA NGS libraries,
  the Advanced Biophotonics Core for assistance with super-resolution microscopy,
  and the Razavi Newman Integrative Genomics and Bioinformatics Core (IGC) for their
  input on analysis methods for DamID experiments."
article_processing_charge: Yes
article_type: original
author:
- first_name: Swati
  full_name: Tyagi, Swati
  last_name: Tyagi
- first_name: Juliana S.
  full_name: Capitanio, Juliana S.
  last_name: Capitanio
- first_name: Jiawei
  full_name: Xu, Jiawei
  last_name: Xu
- first_name: Fei
  full_name: Chen, Fei
  last_name: Chen
- first_name: Rahul
  full_name: Sharma, Rahul
  last_name: Sharma
- first_name: Jialiang
  full_name: Huang, Jialiang
  last_name: Huang
- first_name: Martin W
  full_name: HETZER, Martin W
  id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
  last_name: HETZER
  orcid: 0000-0002-2111-992X
citation:
  ama: Tyagi S, Capitanio JS, Xu J, et al. High-precision mapping of nuclear pore-chromatin
    interactions reveals new principles of genome organization at the nuclear envelope.
    <i>eLife</i>. 2023. doi:<a href="https://doi.org/10.7554/elife.87462">10.7554/elife.87462</a>
  apa: Tyagi, S., Capitanio, J. S., Xu, J., Chen, F., Sharma, R., Huang, J., &#38;
    Hetzer, M. (2023). High-precision mapping of nuclear pore-chromatin interactions
    reveals new principles of genome organization at the nuclear envelope. <i>ELife</i>.
    eLife Sciences Publications. <a href="https://doi.org/10.7554/elife.87462">https://doi.org/10.7554/elife.87462</a>
  chicago: Tyagi, Swati, Juliana S. Capitanio, Jiawei Xu, Fei Chen, Rahul Sharma,
    Jialiang Huang, and Martin Hetzer. “High-Precision Mapping of Nuclear Pore-Chromatin
    Interactions Reveals New Principles of Genome Organization at the Nuclear Envelope.”
    <i>ELife</i>. eLife Sciences Publications, 2023. <a href="https://doi.org/10.7554/elife.87462">https://doi.org/10.7554/elife.87462</a>.
  ieee: S. Tyagi <i>et al.</i>, “High-precision mapping of nuclear pore-chromatin
    interactions reveals new principles of genome organization at the nuclear envelope,”
    <i>eLife</i>. eLife Sciences Publications, 2023.
  ista: Tyagi S, Capitanio JS, Xu J, Chen F, Sharma R, Huang J, Hetzer M. 2023. High-precision
    mapping of nuclear pore-chromatin interactions reveals new principles of genome
    organization at the nuclear envelope. eLife.
  mla: Tyagi, Swati, et al. “High-Precision Mapping of Nuclear Pore-Chromatin Interactions
    Reveals New Principles of Genome Organization at the Nuclear Envelope.” <i>ELife</i>,
    eLife Sciences Publications, 2023, doi:<a href="https://doi.org/10.7554/elife.87462">10.7554/elife.87462</a>.
  short: S. Tyagi, J.S. Capitanio, J. Xu, F. Chen, R. Sharma, J. Huang, M. Hetzer,
    ELife (2023).
corr_author: '1'
date_created: 2024-01-22T12:21:56Z
date_published: 2023-06-23T00:00:00Z
date_updated: 2024-07-31T11:56:25Z
day: '23'
department:
- _id: MaHe
doi: 10.7554/elife.87462
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.7554/eLife.87462.1
month: '06'
oa: 1
oa_version: Submitted Version
publication: eLife
publication_status: epub_ahead
publisher: eLife Sciences Publications
status: public
title: High-precision mapping of nuclear pore-chromatin interactions reveals new principles
  of genome organization at the nuclear envelope
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14872'
abstract:
- lang: eng
  text: We entangled microwave and optical photons for the first time as verified
    by a measured two-mode vacuum squeezing of 0.7 dB. This electro-optic entanglement
    is the key resource needed to connect cryogenic quantum circuits.
article_number: LM1F.3
article_processing_charge: No
author:
- first_name: Rishabh
  full_name: Sahu, Rishabh
  id: 47D26E34-F248-11E8-B48F-1D18A9856A87
  last_name: Sahu
  orcid: 0000-0001-6264-2162
- first_name: Liu
  full_name: Qiu, Liu
  last_name: Qiu
- first_name: William J
  full_name: Hease, William J
  id: 29705398-F248-11E8-B48F-1D18A9856A87
  last_name: Hease
  orcid: 0000-0001-9868-2166
- first_name: Georg M
  full_name: Arnold, Georg M
  id: 3770C838-F248-11E8-B48F-1D18A9856A87
  last_name: Arnold
  orcid: 0000-0003-1397-7876
- first_name: Yuri
  full_name: Minoguchi, Yuri
  last_name: Minoguchi
- first_name: Peter
  full_name: Rabl, Peter
  last_name: Rabl
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: 'Sahu R, Qiu L, Hease WJ, et al. Entangling microwaves and telecom wavelength
    light. In: <i>Frontiers in Optics + Laser Science 2023</i>. Optica Publishing
    Group; 2023. doi:<a href="https://doi.org/10.1364/ls.2023.lm1f.3">10.1364/ls.2023.lm1f.3</a>'
  apa: 'Sahu, R., Qiu, L., Hease, W. J., Arnold, G. M., Minoguchi, Y., Rabl, P., &#38;
    Fink, J. M. (2023). Entangling microwaves and telecom wavelength light. In <i>Frontiers
    in Optics + Laser Science 2023</i>. Tacoma, WA, United States: Optica Publishing
    Group. <a href="https://doi.org/10.1364/ls.2023.lm1f.3">https://doi.org/10.1364/ls.2023.lm1f.3</a>'
  chicago: Sahu, Rishabh, Liu Qiu, William J Hease, Georg M Arnold, Yuri Minoguchi,
    Peter Rabl, and Johannes M Fink. “Entangling Microwaves and Telecom Wavelength
    Light.” In <i>Frontiers in Optics + Laser Science 2023</i>. Optica Publishing
    Group, 2023. <a href="https://doi.org/10.1364/ls.2023.lm1f.3">https://doi.org/10.1364/ls.2023.lm1f.3</a>.
  ieee: R. Sahu <i>et al.</i>, “Entangling microwaves and telecom wavelength light,”
    in <i>Frontiers in Optics + Laser Science 2023</i>, Tacoma, WA, United States,
    2023.
  ista: Sahu R, Qiu L, Hease WJ, Arnold GM, Minoguchi Y, Rabl P, Fink JM. 2023. Entangling
    microwaves and telecom wavelength light. Frontiers in Optics + Laser Science 2023.
    Laser Science, LM1F.3.
  mla: Sahu, Rishabh, et al. “Entangling Microwaves and Telecom Wavelength Light.”
    <i>Frontiers in Optics + Laser Science 2023</i>, LM1F.3, Optica Publishing Group,
    2023, doi:<a href="https://doi.org/10.1364/ls.2023.lm1f.3">10.1364/ls.2023.lm1f.3</a>.
  short: R. Sahu, L. Qiu, W.J. Hease, G.M. Arnold, Y. Minoguchi, P. Rabl, J.M. Fink,
    in:, Frontiers in Optics + Laser Science 2023, Optica Publishing Group, 2023.
conference:
  end_date: 2023-10-12
  location: Tacoma, WA, United States
  name: Laser Science
  start_date: 2023-10-09
corr_author: '1'
date_created: 2024-01-22T12:29:41Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2024-10-09T21:07:59Z
day: '01'
department:
- _id: JoFi
doi: 10.1364/ls.2023.lm1f.3
language:
- iso: eng
month: '10'
oa_version: None
publication: Frontiers in Optics + Laser Science 2023
publication_identifier:
  isbn:
  - '9781957171296'
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
status: public
title: Entangling microwaves and telecom wavelength light
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14892'
abstract:
- lang: eng
  text: 'Code and data necessary to reproduce the simulations and data analyses reported
    in our manuscript: Tomé, D.F., Zhang, Y., Aida, T., Mosto, O., Lu, Y., Chen, M.,
    Sadeh, S., Roy, D. S., Clopath, C. Dynamic and selective engrams emerge with memory
    consolidation. 2023.'
article_processing_charge: No
author:
- first_name: Douglas
  full_name: Feitosa Tomé, Douglas
  id: 0eed2d40-3d48-11ec-8d38-f789cc2e40b2
  last_name: Feitosa Tomé
citation:
  ama: 'Feitosa Tomé D. douglastome/dynamic-engrams: Dynamic and selective engrams
    emerge with memory consolidation. 2023. doi:<a href="https://doi.org/10.5281/ZENODO.10251087">10.5281/ZENODO.10251087</a>'
  apa: 'Feitosa Tomé, D. (2023). douglastome/dynamic-engrams: Dynamic and selective
    engrams emerge with memory consolidation. Zenodo. <a href="https://doi.org/10.5281/ZENODO.10251087">https://doi.org/10.5281/ZENODO.10251087</a>'
  chicago: 'Feitosa Tomé, Douglas. “Douglastome/Dynamic-Engrams: Dynamic and Selective
    Engrams Emerge with Memory Consolidation.” Zenodo, 2023. <a href="https://doi.org/10.5281/ZENODO.10251087">https://doi.org/10.5281/ZENODO.10251087</a>.'
  ieee: 'D. Feitosa Tomé, “douglastome/dynamic-engrams: Dynamic and selective engrams
    emerge with memory consolidation.” Zenodo, 2023.'
  ista: 'Feitosa Tomé D. 2023. douglastome/dynamic-engrams: Dynamic and selective
    engrams emerge with memory consolidation, Zenodo, <a href="https://doi.org/10.5281/ZENODO.10251087">10.5281/ZENODO.10251087</a>.'
  mla: 'Feitosa Tomé, Douglas. <i>Douglastome/Dynamic-Engrams: Dynamic and Selective
    Engrams Emerge with Memory Consolidation</i>. Zenodo, 2023, doi:<a href="https://doi.org/10.5281/ZENODO.10251087">10.5281/ZENODO.10251087</a>.'
  short: D. Feitosa Tomé, (2023).
corr_author: '1'
date_created: 2024-01-29T09:06:43Z
date_published: 2023-12-02T00:00:00Z
date_updated: 2025-04-23T07:40:21Z
day: '02'
ddc:
- '570'
department:
- _id: TiVo
doi: 10.5281/ZENODO.10251087
has_accepted_license: '1'
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/zenodo.10251087
month: '12'
oa: 1
oa_version: None
publisher: Zenodo
related_material:
  record:
  - id: '14887'
    relation: used_in_publication
    status: public
status: public
title: 'douglastome/dynamic-engrams: Dynamic and selective engrams emerge with memory
  consolidation'
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: '2023'
...
---
_id: '14919'
abstract:
- lang: eng
  text: "GLACIER METEOROLOGICAL DATA SWISS ALPS -2022\r\n"
article_processing_charge: No
author:
- first_name: Thomas
  full_name: Shaw, Thomas
  id: 3caa3f91-1f03-11ee-96ce-e0e553054d6e
  last_name: Shaw
  orcid: 0000-0001-7640-6152
- first_name: Pascal
  full_name: Buri, Pascal
  id: 317987aa-9421-11ee-ac5a-b941b041abba
  last_name: Buri
- first_name: Michael
  full_name: McCarthy, Michael
  last_name: McCarthy
- first_name: Evan
  full_name: Miles, Evan
  last_name: Miles
- first_name: Francesca
  full_name: Pellicciotti, Francesca
  id: b28f055a-81ea-11ed-b70c-a9fe7f7b0e70
  last_name: Pellicciotti
  orcid: 0000-0002-5554-8087
citation:
  ama: Shaw T, Buri P, McCarthy M, Miles E, Pellicciotti F. Air temperature and near-surface
    meteorology datasets on three Swiss glaciers - Extreme 2022 Summer. 2023. doi:<a
    href="https://doi.org/10.5281/ZENODO.8277285">10.5281/ZENODO.8277285</a>
  apa: Shaw, T., Buri, P., McCarthy, M., Miles, E., &#38; Pellicciotti, F. (2023).
    Air temperature and near-surface meteorology datasets on three Swiss glaciers
    - Extreme 2022 Summer. Zenodo. <a href="https://doi.org/10.5281/ZENODO.8277285">https://doi.org/10.5281/ZENODO.8277285</a>
  chicago: Shaw, Thomas, Pascal Buri, Michael McCarthy, Evan Miles, and Francesca
    Pellicciotti. “Air Temperature and Near-Surface Meteorology Datasets on Three
    Swiss Glaciers - Extreme 2022 Summer.” Zenodo, 2023. <a href="https://doi.org/10.5281/ZENODO.8277285">https://doi.org/10.5281/ZENODO.8277285</a>.
  ieee: T. Shaw, P. Buri, M. McCarthy, E. Miles, and F. Pellicciotti, “Air temperature
    and near-surface meteorology datasets on three Swiss glaciers - Extreme 2022 Summer.”
    Zenodo, 2023.
  ista: Shaw T, Buri P, McCarthy M, Miles E, Pellicciotti F. 2023. Air temperature
    and near-surface meteorology datasets on three Swiss glaciers - Extreme 2022 Summer,
    Zenodo, <a href="https://doi.org/10.5281/ZENODO.8277285">10.5281/ZENODO.8277285</a>.
  mla: Shaw, Thomas, et al. <i>Air Temperature and Near-Surface Meteorology Datasets
    on Three Swiss Glaciers - Extreme 2022 Summer</i>. Zenodo, 2023, doi:<a href="https://doi.org/10.5281/ZENODO.8277285">10.5281/ZENODO.8277285</a>.
  short: T. Shaw, P. Buri, M. McCarthy, E. Miles, F. Pellicciotti, (2023).
corr_author: '1'
date_created: 2024-01-31T12:08:26Z
date_published: 2023-08-23T00:00:00Z
date_updated: 2025-09-04T11:58:38Z
day: '23'
ddc:
- '550'
department:
- _id: FrPe
doi: 10.5281/ZENODO.8277285
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/ZENODO.8277285
month: '08'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
  record:
  - id: '14885'
    relation: used_in_publication
    status: public
status: public
title: Air temperature and near-surface meteorology datasets on three Swiss glaciers
  - Extreme 2022 Summer
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14920'
abstract:
- lang: eng
  text: "We consider fixpoint algorithms for two-player games on graphs with $\\omega$-regular
    winning conditions, where the environment is constrained by a strong transition
    fairness assumption. Strong transition fairness is a widely occurring special
    case of strong fairness, which requires that any execution is strongly fair with
    respect to a specified set of live edges: whenever the\r\nsource vertex of a live
    edge is visited infinitely often along a play, the edge itself is traversed infinitely
    often along the play as well. We show that, surprisingly, strong transition fairness
    retains the algorithmic characteristics of the fixpoint algorithms for $\\omega$-regular
    games -- the new algorithms have the same alternation depth as the classical algorithms
    but invoke a new type of predecessor operator. For Rabin games with $k$ pairs,
    the complexity of the new algorithm is $O(n^{k+2}k!)$ symbolic steps, which is
    independent of the number of live edges in the strong transition fairness assumption.
    Further, we show that GR(1) specifications with strong transition fairness assumptions
    can be solved with a 3-nested fixpoint algorithm, same as the usual algorithm.
    In contrast, strong fairness necessarily requires increasing the alternation depth
    depending on the number of fairness assumptions. We get symbolic algorithms for
    (generalized) Rabin, parity and GR(1) objectives under strong transition fairness
    assumptions as well as a direct symbolic algorithm for qualitative winning in
    stochastic\r\n$\\omega$-regular games that runs in $O(n^{k+2}k!)$ symbolic steps,
    improving the state of the art. Finally, we have implemented a BDD-based synthesis
    engine based on our algorithm. We show on a set of synthetic and real benchmarks
    that our algorithm is scalable, parallelizable, and outperforms previous algorithms
    by orders of magnitude."
acknowledgement: A previous version of this paper has appeared in TACAS 2022. Authors
  ordered alphabetically. T. Banerjee was interning with MPI-SWS when this research
  was conducted. R. Majumdar and A.-K. Schmuck are partially supported by DFG project
  389792660 TRR 248–CPEC. A.-K. Schmuck is additionally funded through DFG project
  (SCHM 3541/1-1). K. Mallik is supported by the ERC project ERC-2020-AdG 101020093.
article_number: '4'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Tamajit
  full_name: Banerjee, Tamajit
  last_name: Banerjee
- first_name: Rupak
  full_name: Majumdar, Rupak
  last_name: Majumdar
- first_name: Kaushik
  full_name: Mallik, Kaushik
  id: 0834ff3c-6d72-11ec-94e0-b5b0a4fb8598
  last_name: Mallik
  orcid: 0000-0001-9864-7475
- first_name: Anne-Kathrin
  full_name: Schmuck, Anne-Kathrin
  last_name: Schmuck
- first_name: Sadegh
  full_name: Soudjani, Sadegh
  last_name: Soudjani
citation:
  ama: Banerjee T, Majumdar R, Mallik K, Schmuck A-K, Soudjani S. Fast symbolic algorithms
    for mega-regular games under strong transition fairness. <i>TheoretiCS</i>. 2023;2.
    doi:<a href="https://doi.org/10.46298/theoretics.23.4">10.46298/theoretics.23.4</a>
  apa: Banerjee, T., Majumdar, R., Mallik, K., Schmuck, A.-K., &#38; Soudjani, S.
    (2023). Fast symbolic algorithms for mega-regular games under strong transition
    fairness. <i>TheoretiCS</i>. EPI Sciences. <a href="https://doi.org/10.46298/theoretics.23.4">https://doi.org/10.46298/theoretics.23.4</a>
  chicago: Banerjee, Tamajit, Rupak Majumdar, Kaushik Mallik, Anne-Kathrin Schmuck,
    and Sadegh Soudjani. “Fast Symbolic Algorithms for Mega-Regular Games under Strong
    Transition Fairness.” <i>TheoretiCS</i>. EPI Sciences, 2023. <a href="https://doi.org/10.46298/theoretics.23.4">https://doi.org/10.46298/theoretics.23.4</a>.
  ieee: T. Banerjee, R. Majumdar, K. Mallik, A.-K. Schmuck, and S. Soudjani, “Fast
    symbolic algorithms for mega-regular games under strong transition fairness,”
    <i>TheoretiCS</i>, vol. 2. EPI Sciences, 2023.
  ista: Banerjee T, Majumdar R, Mallik K, Schmuck A-K, Soudjani S. 2023. Fast symbolic
    algorithms for mega-regular games under strong transition fairness. TheoretiCS.
    2, 4.
  mla: Banerjee, Tamajit, et al. “Fast Symbolic Algorithms for Mega-Regular Games
    under Strong Transition Fairness.” <i>TheoretiCS</i>, vol. 2, 4, EPI Sciences,
    2023, doi:<a href="https://doi.org/10.46298/theoretics.23.4">10.46298/theoretics.23.4</a>.
  short: T. Banerjee, R. Majumdar, K. Mallik, A.-K. Schmuck, S. Soudjani, TheoretiCS
    2 (2023).
corr_author: '1'
date_created: 2024-01-31T13:40:49Z
date_published: 2023-02-24T00:00:00Z
date_updated: 2025-04-14T07:55:57Z
day: '24'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.46298/theoretics.23.4
ec_funded: 1
external_id:
  arxiv:
  - '2202.07480'
file:
- access_level: open_access
  checksum: 2972d531122a6f15727b396110fb3f5c
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-05T10:19:35Z
  date_updated: 2024-02-05T10:19:35Z
  file_id: '14940'
  file_name: 2023_TheoretiCS_Banerjee.pdf
  file_size: 917076
  relation: main_file
  success: 1
file_date_updated: 2024-02-05T10:19:35Z
has_accepted_license: '1'
intvolume: '         2'
language:
- iso: eng
month: '02'
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
publication: TheoretiCS
publication_identifier:
  issn:
  - 2751-4838
publication_status: published
publisher: EPI Sciences
quality_controlled: '1'
status: public
title: Fast symbolic algorithms for mega-regular games under strong transition fairness
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: 2
year: '2023'
...
---
_id: '14921'
abstract:
- lang: eng
  text: Neural collapse (NC) refers to the surprising structure of the last layer
    of deep neural networks in the terminal phase of gradient descent training. Recently,
    an increasing amount of experimental evidence has pointed to the propagation of
    NC to earlier layers of neural networks. However, while the NC in the last layer
    is well studied theoretically, much less is known about its multi-layered counterpart
    - deep neural collapse (DNC). In particular, existing work focuses either on linear
    layers or only on the last two layers at the price of an extra assumption. Our
    paper fills this gap by generalizing the established analytical framework for
    NC - the unconstrained features model - to multiple non-linear layers. Our key
    technical contribution is to show that, in a deep unconstrained features model,
    the unique global optimum for binary classification exhibits all the properties
    typical of DNC. This explains the existing experimental evidence of DNC. We also
    empirically show that (i) by optimizing deep unconstrained features models via
    gradient descent, the resulting solution agrees well with our theory, and (ii)
    trained networks recover the unconstrained features suitable for the occurrence
    of DNC, thus supporting the validity of this modeling principle.
acknowledgement: M. M. is partially supported by the 2019 Lopez-Loreta Prize. The
  authors would like to thank Eugenia Iofinova, Bernd Prach and Simone Bombari for
  valuable feedback on the manuscript.
alternative_title:
- NeurIPS
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: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: 'Súkeník P, Mondelli M, Lampert C. Deep neural collapse is provably optimal
    for the deep unconstrained features model. In: <i>37th Annual Conference on Neural
    Information Processing Systems</i>. ; 2023.'
  apa: Súkeník, P., Mondelli, M., &#38; Lampert, C. (2023). Deep neural collapse is
    provably optimal for the deep unconstrained features model. In <i>37th Annual
    Conference on Neural Information Processing Systems</i>. New Orleans, LA, United
    States.
  chicago: Súkeník, Peter, Marco Mondelli, and Christoph Lampert. “Deep Neural Collapse
    Is Provably Optimal for the Deep Unconstrained Features Model.” In <i>37th Annual
    Conference on Neural Information Processing Systems</i>, 2023.
  ieee: P. Súkeník, M. Mondelli, and C. Lampert, “Deep neural collapse is provably
    optimal for the deep unconstrained features model,” in <i>37th Annual Conference
    on Neural Information Processing Systems</i>, New Orleans, LA, United States,
    2023.
  ista: 'Súkeník P, Mondelli M, Lampert C. 2023. Deep neural collapse is provably
    optimal for the deep unconstrained features model. 37th Annual Conference on Neural
    Information Processing Systems. NeurIPS: Neural Information Processing Systems,
    NeurIPS, .'
  mla: Súkeník, Peter, et al. “Deep Neural Collapse Is Provably Optimal for the Deep
    Unconstrained Features Model.” <i>37th Annual Conference on Neural Information
    Processing Systems</i>, 2023.
  short: P. Súkeník, M. Mondelli, C. Lampert, in:, 37th Annual Conference on Neural
    Information Processing Systems, 2023.
conference:
  end_date: 2023-12-16
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2023-12-10
corr_author: '1'
date_created: 2024-02-02T11:17:41Z
date_published: 2023-12-15T00:00:00Z
date_updated: 2025-04-15T07:50:16Z
day: '15'
department:
- _id: MaMo
- _id: ChLa
external_id:
  arxiv:
  - '2305.13165'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2305.13165'
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: 37th Annual Conference on Neural Information Processing Systems
publication_status: published
quality_controlled: '1'
status: public
title: Deep neural collapse is provably optimal for the deep unconstrained features
  model
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14922'
abstract:
- lang: eng
  text: 'We propose a novel approach to concentration for non-independent random variables.
    The main idea is to ``pretend'''' that the random variables are independent and
    pay a multiplicative price measuring how far they are from actually being independent.
    This price is encapsulated in the Hellinger integral between the joint and the
    product of the marginals, which is then upper bounded leveraging tensorisation
    properties. Our bounds represent a natural generalisation of concentration inequalities
    in the presence of dependence: we recover exactly the classical bounds (McDiarmid''s
    inequality) when the random variables are independent. Furthermore, in a ``large
    deviations'''' regime, we obtain the same decay in the probability as for the
    independent case, even when the random variables display non-trivial dependencies.
    To show this, we consider a number of applications of interest. First, we provide
    a bound for Markov chains with finite state space. Then, we consider the Simple
    Symmetric Random Walk, which is a non-contracting Markov chain, and a non-Markovian
    setting in which the stochastic process depends on its entire past. To conclude,
    we propose an application to Markov Chain Monte Carlo methods, where our approach
    leads to an improved lower bound on the minimum burn-in period required to reach
    a certain accuracy. In all of these settings, we provide a regime of parameters
    in which our bound fares better than what the state of the art can provide.'
acknowledgement: The authors are partially supported by the 2019 Lopez-Loreta Prize.
  They would also like to thank Professor Jan Maas for providing valuable suggestions
  and comments on an early version of the work.
article_processing_charge: No
arxiv: 1
author:
- first_name: Amedeo Roberto
  full_name: Esposito, Amedeo Roberto
  id: 9583e921-e1ad-11ec-9862-cef099626dc9
  last_name: Esposito
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Esposito AR, Mondelli M. Concentration without independence via information
    measures. In: <i>Proceedings of 2023 IEEE International Symposium on Information
    Theory</i>. IEEE; 2023:400-405. doi:<a href="https://doi.org/10.1109/isit54713.2023.10206899">10.1109/isit54713.2023.10206899</a>'
  apa: 'Esposito, A. R., &#38; Mondelli, M. (2023). Concentration without independence
    via information measures. In <i>Proceedings of 2023 IEEE International Symposium
    on Information Theory</i> (pp. 400–405). Taipei, Taiwan: IEEE. <a href="https://doi.org/10.1109/isit54713.2023.10206899">https://doi.org/10.1109/isit54713.2023.10206899</a>'
  chicago: Esposito, Amedeo Roberto, and Marco Mondelli. “Concentration without Independence
    via Information Measures.” In <i>Proceedings of 2023 IEEE International Symposium
    on Information Theory</i>, 400–405. IEEE, 2023. <a href="https://doi.org/10.1109/isit54713.2023.10206899">https://doi.org/10.1109/isit54713.2023.10206899</a>.
  ieee: A. R. Esposito and M. Mondelli, “Concentration without independence via information
    measures,” in <i>Proceedings of 2023 IEEE International Symposium on Information
    Theory</i>, Taipei, Taiwan, 2023, pp. 400–405.
  ista: 'Esposito AR, Mondelli M. 2023. Concentration without independence via information
    measures. Proceedings of 2023 IEEE International Symposium on Information Theory.
    ISIT: International Symposium on Information Theory, 400–405.'
  mla: Esposito, Amedeo Roberto, and Marco Mondelli. “Concentration without Independence
    via Information Measures.” <i>Proceedings of 2023 IEEE International Symposium
    on Information Theory</i>, IEEE, 2023, pp. 400–05, doi:<a href="https://doi.org/10.1109/isit54713.2023.10206899">10.1109/isit54713.2023.10206899</a>.
  short: A.R. Esposito, M. Mondelli, in:, Proceedings of 2023 IEEE International Symposium
    on Information Theory, IEEE, 2023, pp. 400–405.
conference:
  end_date: 2023-06-30
  location: Taipei, Taiwan
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2023-06-25
corr_author: '1'
date_created: 2024-02-02T11:18:40Z
date_published: 2023-06-30T00:00:00Z
date_updated: 2025-09-04T13:06:52Z
day: '30'
department:
- _id: MaMo
doi: 10.1109/isit54713.2023.10206899
external_id:
  arxiv:
  - '2303.07245'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2303.07245
month: '06'
oa: 1
oa_version: Preprint
page: 400-405
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: Proceedings of 2023 IEEE International Symposium on Information Theory
publication_identifier:
  eisbn:
  - '9781665475549'
  eissn:
  - 2157-8117
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '15172'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Concentration without independence via information measures
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14923'
abstract:
- lang: eng
  text: We study the performance of a Bayesian statistician who estimates a rank-one
    signal corrupted by non-symmetric rotationally invariant noise with a generic
    distribution of singular values. As the signal-to-noise ratio and the noise structure
    are unknown, a Gaussian setup is incorrectly assumed. We derive the exact analytic
    expression for the error of the mismatched Bayes estimator and also provide the
    analysis of an approximate message passing (AMP) algorithm. The first result exploits
    the asymptotic behavior of spherical integrals for rectangular matrices and of
    low-rank matrix perturbations; the second one relies on the design and analysis
    of an auxiliary AMP. The numerical experiments show that there is a performance
    gap between the AMP and Bayes estimators, which is due to the incorrect estimation
    of the signal norm.
article_processing_charge: No
arxiv: 1
author:
- first_name: Teng
  full_name: Fu, Teng
  last_name: Fu
- first_name: YuHao
  full_name: Liu, YuHao
  last_name: Liu
- first_name: Jean
  full_name: Barbier, Jean
  last_name: Barbier
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: ShanSuo
  full_name: Liang, ShanSuo
  last_name: Liang
- first_name: TianQi
  full_name: Hou, TianQi
  last_name: Hou
citation:
  ama: 'Fu T, Liu Y, Barbier J, Mondelli M, Liang S, Hou T. Mismatched estimation
    of non-symmetric rank-one matrices corrupted by structured noise. In: <i>Proceedings
    of 2023 IEEE International Symposium on Information Theory</i>. IEEE; 2023:1178-1183.
    doi:<a href="https://doi.org/10.1109/isit54713.2023.10206671">10.1109/isit54713.2023.10206671</a>'
  apa: 'Fu, T., Liu, Y., Barbier, J., Mondelli, M., Liang, S., &#38; Hou, T. (2023).
    Mismatched estimation of non-symmetric rank-one matrices corrupted by structured
    noise. In <i>Proceedings of 2023 IEEE International Symposium on Information Theory</i>
    (pp. 1178–1183). Taipei, Taiwan: IEEE. <a href="https://doi.org/10.1109/isit54713.2023.10206671">https://doi.org/10.1109/isit54713.2023.10206671</a>'
  chicago: Fu, Teng, YuHao Liu, Jean Barbier, Marco Mondelli, ShanSuo Liang, and TianQi
    Hou. “Mismatched Estimation of Non-Symmetric Rank-One Matrices Corrupted by Structured
    Noise.” In <i>Proceedings of 2023 IEEE International Symposium on Information
    Theory</i>, 1178–83. IEEE, 2023. <a href="https://doi.org/10.1109/isit54713.2023.10206671">https://doi.org/10.1109/isit54713.2023.10206671</a>.
  ieee: T. Fu, Y. Liu, J. Barbier, M. Mondelli, S. Liang, and T. Hou, “Mismatched
    estimation of non-symmetric rank-one matrices corrupted by structured noise,”
    in <i>Proceedings of 2023 IEEE International Symposium on Information Theory</i>,
    Taipei, Taiwan, 2023, pp. 1178–1183.
  ista: 'Fu T, Liu Y, Barbier J, Mondelli M, Liang S, Hou T. 2023. Mismatched estimation
    of non-symmetric rank-one matrices corrupted by structured noise. Proceedings
    of 2023 IEEE International Symposium on Information Theory. ISIT: International
    Symposium on Information Theory, 1178–1183.'
  mla: Fu, Teng, et al. “Mismatched Estimation of Non-Symmetric Rank-One Matrices
    Corrupted by Structured Noise.” <i>Proceedings of 2023 IEEE International Symposium
    on Information Theory</i>, IEEE, 2023, pp. 1178–83, doi:<a href="https://doi.org/10.1109/isit54713.2023.10206671">10.1109/isit54713.2023.10206671</a>.
  short: T. Fu, Y. Liu, J. Barbier, M. Mondelli, S. Liang, T. Hou, in:, Proceedings
    of 2023 IEEE International Symposium on Information Theory, IEEE, 2023, pp. 1178–1183.
conference:
  end_date: 2023-06-30
  location: Taipei, Taiwan
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2023-06-25
corr_author: '1'
date_created: 2024-02-02T11:20:39Z
date_published: 2023-06-30T00:00:00Z
date_updated: 2025-07-10T11:51:04Z
day: '30'
department:
- _id: MaMo
doi: 10.1109/isit54713.2023.10206671
external_id:
  arxiv:
  - '2302.03306'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2302.03306
month: '06'
oa: 1
oa_version: Preprint
page: 1178-1183
publication: Proceedings of 2023 IEEE International Symposium on Information Theory
publication_identifier:
  eissn:
  - 2157-8117
  isbn:
  - '9781665475549'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mismatched estimation of non-symmetric rank-one matrices corrupted by structured
  noise
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14924'
abstract:
- lang: eng
  text: "The stochastic heavy ball method (SHB), also known as stochastic gradient
    descent (SGD) with Polyak's momentum, is widely used in training neural networks.
    However, despite the remarkable success of such algorithm in practice, its theoretical
    characterization remains limited. In this paper, we focus on neural networks with
    two and three layers and provide a rigorous understanding of the properties of
    the solutions found by SHB: \\emph{(i)} stability after dropping out part of the
    neurons, \\emph{(ii)} connectivity along a low-loss path, and \\emph{(iii)} convergence
    to the global optimum.\r\nTo achieve this goal, we take a mean-field view and
    relate the SHB dynamics to a certain partial differential equation in the limit
    of large network widths. This mean-field perspective has inspired a recent line
    of work focusing on SGD while, in contrast, our paper considers an algorithm with
    momentum. More specifically, after proving existence and uniqueness of the limit
    differential equations, we show convergence to the global optimum and give a quantitative
    bound between the mean-field limit and the SHB dynamics of a finite-width network.
    Armed with this last bound, we are able to establish the dropout-stability and
    connectivity of SHB solutions."
acknowledgement: D. Wu and M. Mondelli are partially supported by the 2019 Lopez-Loreta
  Prize. V. Kungurtsev was supported by the OP VVV project CZ.02.1.01/0.0/0.0/16_019/0000765
  "Research Center for Informatics".
alternative_title:
- TMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Diyuan
  full_name: Wu, Diyuan
  id: 1a5914c2-896a-11ed-bdf8-fb80621a0635
  last_name: Wu
- first_name: Vyacheslav
  full_name: Kungurtsev, Vyacheslav
  last_name: Kungurtsev
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Wu D, Kungurtsev V, Mondelli M. Mean-field analysis for heavy ball methods:
    Dropout-stability, connectivity, and global convergence. In: <i>Transactions on
    Machine Learning Research</i>. ML Research Press; 2023.'
  apa: 'Wu, D., Kungurtsev, V., &#38; Mondelli, M. (2023). Mean-field analysis for
    heavy ball methods: Dropout-stability, connectivity, and global convergence. In
    <i>Transactions on Machine Learning Research</i>. ML Research Press.'
  chicago: 'Wu, Diyuan, Vyacheslav Kungurtsev, and Marco Mondelli. “Mean-Field Analysis
    for Heavy Ball Methods: Dropout-Stability, Connectivity, and Global Convergence.”
    In <i>Transactions on Machine Learning Research</i>. ML Research Press, 2023.'
  ieee: 'D. Wu, V. Kungurtsev, and M. Mondelli, “Mean-field analysis for heavy ball
    methods: Dropout-stability, connectivity, and global convergence,” in <i>Transactions
    on Machine Learning Research</i>, 2023.'
  ista: 'Wu D, Kungurtsev V, Mondelli M. 2023. Mean-field analysis for heavy ball
    methods: Dropout-stability, connectivity, and global convergence. Transactions
    on Machine Learning Research. , TMLR, .'
  mla: 'Wu, Diyuan, et al. “Mean-Field Analysis for Heavy Ball Methods: Dropout-Stability,
    Connectivity, and Global Convergence.” <i>Transactions on Machine Learning Research</i>,
    ML Research Press, 2023.'
  short: D. Wu, V. Kungurtsev, M. Mondelli, in:, Transactions on Machine Learning
    Research, ML Research Press, 2023.
corr_author: '1'
date_created: 2024-02-02T11:21:56Z
date_published: 2023-02-28T00:00:00Z
date_updated: 2026-06-18T17:41:36Z
day: '28'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2210.06819'
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.06819
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: Transactions on Machine Learning Research
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: 'Mean-field analysis for heavy ball methods: Dropout-stability, connectivity,
  and global convergence'
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
year: '2023'
...
---
_id: '14948'
abstract:
- lang: eng
  text: "The extraction of modular object-centric representations for downstream tasks\r\nis
    an emerging area of research. Learning grounded representations of objects\r\nthat
    are guaranteed to be stable and invariant promises robust performance\r\nacross
    different tasks and environments. Slot Attention (SA) learns\r\nobject-centric
    representations by assigning objects to \\textit{slots}, but\r\npresupposes a
    \\textit{single} distribution from which all slots are randomly\r\ninitialised.
    This results in an inability to learn \\textit{specialized} slots\r\nwhich bind
    to specific object types and remain invariant to identity-preserving\r\nchanges
    in object appearance. To address this, we present\r\n\\emph{\\textsc{Co}nditional
    \\textsc{S}lot \\textsc{A}ttention} (\\textsc{CoSA})\r\nusing a novel concept
    of \\emph{Grounded Slot Dictionary} (GSD) inspired by\r\nvector quantization.
    Our proposed GSD comprises (i) canonical object-level\r\nproperty vectors and
    (ii) parametric Gaussian distributions, which define a\r\nprior over the slots.
    We demonstrate the benefits of our method in multiple\r\ndownstream tasks such
    as scene generation, composition, and task adaptation,\r\nwhilst remaining competitive
    with SA in popular object discovery benchmarks."
acknowledgement: "This work was supported by supported by UKRI (grant agreement no.
  EP/S023356/1), in the UKRI\r\nCentre for Doctoral Training in Safe and Trusted AI
  via A. Kori."
article_number: '2307.09437'
article_processing_charge: No
arxiv: 1
author:
- first_name: Avinash
  full_name: Kori, Avinash
  last_name: Kori
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Fabio De Sousa
  full_name: Ribeiro, Fabio De Sousa
  last_name: Ribeiro
- first_name: Francesca
  full_name: Toni, Francesca
  last_name: Toni
- first_name: Ben
  full_name: Glocker, Ben
  last_name: Glocker
citation:
  ama: Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. Grounded object centric
    learning. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2307.09437">10.48550/arXiv.2307.09437</a>
  apa: Kori, A., Locatello, F., Ribeiro, F. D. S., Toni, F., &#38; Glocker, B. (n.d.).
    Grounded object centric learning. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2307.09437">https://doi.org/10.48550/arXiv.2307.09437</a>
  chicago: Kori, Avinash, Francesco Locatello, Fabio De Sousa Ribeiro, Francesca Toni,
    and Ben Glocker. “Grounded Object Centric Learning.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2307.09437">https://doi.org/10.48550/arXiv.2307.09437</a>.
  ieee: A. Kori, F. Locatello, F. D. S. Ribeiro, F. Toni, and B. Glocker, “Grounded
    object centric learning,” <i>arXiv</i>. .
  ista: Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. Grounded object centric
    learning. arXiv, 2307.09437.
  mla: Kori, Avinash, et al. “Grounded Object Centric Learning.” <i>ArXiv</i>, 2307.09437,
    doi:<a href="https://doi.org/10.48550/arXiv.2307.09437">10.48550/arXiv.2307.09437</a>.
  short: A. Kori, F. Locatello, F.D.S. Ribeiro, F. Toni, B. Glocker, ArXiv (n.d.).
date_created: 2024-02-07T14:47:04Z
date_published: 2023-07-18T00:00:00Z
date_updated: 2024-02-12T08:13:12Z
day: '18'
department:
- _id: FrLo
doi: 10.48550/arXiv.2307.09437
external_id:
  arxiv:
  - '2307.09437'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2307.09437
month: '07'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Grounded object centric learning
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14949'
abstract:
- lang: eng
  text: Many approaches have been proposed to use diffusion models to augment training
    datasets for downstream tasks, such as classification. However, diffusion models
    are themselves trained on large datasets, often with noisy annotations, and it
    remains an open question to which extent these models contribute to downstream
    classification performance. In particular, it remains unclear if they generalize
    enough to improve over directly using the additional data of their pre-training
    process for augmentation. We systematically evaluate a range of existing methods
    to generate images from diffusion models and study new extensions to assess their
    benefit for data augmentation. Personalizing diffusion models towards the target
    data outperforms simpler prompting strategies. However, using the pre-training
    data of the diffusion model alone, via a simple nearest-neighbor retrieval procedure,
    leads to even stronger downstream performance. Our study explores the potential
    of diffusion models in generating new training data, and surprisingly finds that
    these sophisticated models are not yet able to beat a simple and strong image
    retrieval baseline on simple downstream vision tasks.
acknowledgement: The authors would like to thank Varad Gunjal and Vishaal Udandarao.
  MFB thanks the International Max Planck Research School for Intelligent Systems
  (IMPRS-IS).
alternative_title:
- TMLR
article_processing_charge: No
article_type: original
author:
- first_name: Max
  full_name: Burg, Max
  last_name: Burg
- first_name: Florian
  full_name: Wenzel, Florian
  last_name: Wenzel
- first_name: Dominik
  full_name: Zietlow, Dominik
  last_name: Zietlow
- first_name: Max
  full_name: Horn, Max
  last_name: Horn
- first_name: Osama
  full_name: Makansi, Osama
  last_name: Makansi
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Chris
  full_name: Russell, Chris
  last_name: Russell
citation:
  ama: Burg M, Wenzel F, Zietlow D, et al. Image retrieval outperforms diffusion models
    on data augmentation. <i>Journal of Machine Learning Research</i>. 2023.
  apa: Burg, M., Wenzel, F., Zietlow, D., Horn, M., Makansi, O., Locatello, F., &#38;
    Russell, C. (2023). Image retrieval outperforms diffusion models on data augmentation.
    <i>Journal of Machine Learning Research</i>. ML Research Press.
  chicago: Burg, Max, Florian Wenzel, Dominik Zietlow, Max Horn, Osama Makansi, Francesco
    Locatello, and Chris Russell. “Image Retrieval Outperforms Diffusion Models on
    Data Augmentation.” <i>Journal of Machine Learning Research</i>. ML Research Press,
    2023.
  ieee: M. Burg <i>et al.</i>, “Image retrieval outperforms diffusion models on data
    augmentation,” <i>Journal of Machine Learning Research</i>. ML Research Press,
    2023.
  ista: Burg M, Wenzel F, Zietlow D, Horn M, Makansi O, Locatello F, Russell C. 2023.
    Image retrieval outperforms diffusion models on data augmentation. Journal of
    Machine Learning Research.
  mla: Burg, Max, et al. “Image Retrieval Outperforms Diffusion Models on Data Augmentation.”
    <i>Journal of Machine Learning Research</i>, ML Research Press, 2023.
  short: M. Burg, F. Wenzel, D. Zietlow, M. Horn, O. Makansi, F. Locatello, C. Russell,
    Journal of Machine Learning Research (2023).
date_created: 2024-02-07T14:57:39Z
date_published: 2023-12-10T00:00:00Z
date_updated: 2024-02-12T08:30:21Z
day: '10'
ddc:
- '000'
department:
- _id: FrLo
file:
- access_level: open_access
  checksum: af87ddea7908923426365347b9c87ba7
  content_type: application/pdf
  creator: ptazenko
  date_created: 2024-02-07T14:57:32Z
  date_updated: 2024-02-07T14:57:32Z
  file_id: '14950'
  file_name: Burg_et_al_2023_Image_retrieval_outperforms.pdf
  file_size: 27325153
  relation: main_file
file_date_updated: 2024-02-07T14:57:32Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://openreview.net/forum?id=xflYdGZMpv
month: '12'
oa: 1
oa_version: Published Version
publication: Journal of Machine Learning Research
publication_identifier:
  eissn:
  - 2835-8856
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: Image retrieval outperforms diffusion models on data augmentation
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
year: '2023'
...
---
_id: '14952'
abstract:
- lang: eng
  text: "While different neural models often exhibit latent spaces that are alike
    when exposed to semantically related data, this intrinsic similarity is not always
    immediately discernible. Towards a better understanding of this phenomenon, our
    work shows how representations learned from these neural modules can be translated
    between different pre-trained networks via simpler transformations than previously
    thought. An advantage of this approach is the ability to\r\nestimate these transformations
    using standard, well-understood algebraic procedures that have closed-form solutions.
    Our method directly estimates a transformation between two given latent spaces,
    thereby enabling effective stitching of encoders and decoders without additional
    training. We extensively validate the adaptability of this translation procedure
    in different\r\nexperimental settings: across various trainings, domains, architectures
    (e.g., ResNet, CNN, ViT), and in multiple downstream tasks (classification, reconstruction).
    Notably, we show how it is possible to zero-shot stitch text encoders and vision
    decoders, or vice-versa, yielding surprisingly good classification performance
    in this multimodal setting."
acknowledgement: "This work is supported by the ERC grant no.802554 (SPECGEO), PRIN
  2020 project no.2020TA3K9N (LEGO.AI), and PNRR MUR project PE0000013-FAIR. Francesco\r\nLocatello
  did not contribute to this work at Amazon."
article_number: '2311.00664'
article_processing_charge: No
arxiv: 1
author:
- first_name: Valentino
  full_name: Maiorca, Valentino
  last_name: Maiorca
- first_name: Luca
  full_name: Moschella, Luca
  last_name: Moschella
- first_name: Antonio
  full_name: Norelli, Antonio
  last_name: Norelli
- first_name: Marco
  full_name: Fumero, Marco
  last_name: Fumero
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
citation:
  ama: Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. Latent
    space translation via semantic alignment. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2311.00664">10.48550/arXiv.2311.00664</a>
  apa: Maiorca, V., Moschella, L., Norelli, A., Fumero, M., Locatello, F., &#38; Rodolà,
    E. (n.d.). Latent space translation via semantic alignment. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2311.00664">https://doi.org/10.48550/arXiv.2311.00664</a>
  chicago: Maiorca, Valentino, Luca Moschella, Antonio Norelli, Marco Fumero, Francesco
    Locatello, and Emanuele Rodolà. “Latent Space Translation via Semantic Alignment.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2311.00664">https://doi.org/10.48550/arXiv.2311.00664</a>.
  ieee: V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, and E. Rodolà,
    “Latent space translation via semantic alignment,” <i>arXiv</i>. .
  ista: Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. Latent
    space translation via semantic alignment. arXiv, 2311.00664.
  mla: Maiorca, Valentino, et al. “Latent Space Translation via Semantic Alignment.”
    <i>ArXiv</i>, 2311.00664, doi:<a href="https://doi.org/10.48550/arXiv.2311.00664">10.48550/arXiv.2311.00664</a>.
  short: V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, E. Rodolà,
    ArXiv (n.d.).
date_created: 2024-02-07T15:08:55Z
date_published: 2023-11-01T00:00:00Z
date_updated: 2024-02-12T09:40:23Z
day: '01'
department:
- _id: FrLo
doi: 10.48550/arXiv.2311.00664
external_id:
  arxiv:
  - '2311.00664'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2311.00664
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Latent space translation via semantic alignment
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14953'
abstract:
- lang: eng
  text: This paper provides statistical sample complexity bounds for score-matching
    and its applications in causal discovery. We demonstrate that accurate estimation
    of the score function is achievable by training a standard deep ReLU neural network
    using stochastic gradient descent. We establish bounds on the error rate of recovering
    causal relationships using the score-matching-based causal discovery method of
    Rolland et al. [2022], assuming a sufficiently good estimation of the score function.
    Finally, we analyze the upper bound of score-matching estimation within the score-based
    generative modeling, which has been applied for causal discovery but is also of
    independent interest within the domain of generative models.
acknowledgement: 'We are thankful to the reviewers for providing constructive feedback
  and Kun Zhang and Dominik Janzing for helpful discussion on the special case of
  deterministic children. This work was supported by Hasler Foundation Program: Hasler
  Responsible AI (project number 21043). This work was supported by the Swiss National
  Science Foundation (SNSF) under grant number 200021_205011. Francesco Locatello
  did not contribute to this work at Amazon. '
article_number: '2310.18123'
article_processing_charge: No
arxiv: 1
author:
- first_name: Zhenyu
  full_name: Zhu, Zhenyu
  last_name: Zhu
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Volkan
  full_name: Cevher, Volkan
  last_name: Cevher
citation:
  ama: 'Zhu Z, Locatello F, Cevher V. Sample complexity bounds for score-matching:
    Causal discovery and generative modeling. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2310.18123">10.48550/arXiv.2310.18123</a>'
  apa: 'Zhu, Z., Locatello, F., &#38; Cevher, V. (n.d.). Sample complexity bounds
    for score-matching: Causal discovery and generative modeling. <i>arXiv</i>. <a
    href="https://doi.org/10.48550/arXiv.2310.18123">https://doi.org/10.48550/arXiv.2310.18123</a>'
  chicago: 'Zhu, Zhenyu, Francesco Locatello, and Volkan Cevher. “Sample Complexity
    Bounds for Score-Matching: Causal Discovery and Generative Modeling.” <i>ArXiv</i>,
    n.d. <a href="https://doi.org/10.48550/arXiv.2310.18123">https://doi.org/10.48550/arXiv.2310.18123</a>.'
  ieee: 'Z. Zhu, F. Locatello, and V. Cevher, “Sample complexity bounds for score-matching:
    Causal discovery and generative modeling,” <i>arXiv</i>. .'
  ista: 'Zhu Z, Locatello F, Cevher V. Sample complexity bounds for score-matching:
    Causal discovery and generative modeling. arXiv, 2310.18123.'
  mla: 'Zhu, Zhenyu, et al. “Sample Complexity Bounds for Score-Matching: Causal Discovery
    and Generative Modeling.” <i>ArXiv</i>, 2310.18123, doi:<a href="https://doi.org/10.48550/arXiv.2310.18123">10.48550/arXiv.2310.18123</a>.'
  short: Z. Zhu, F. Locatello, V. Cevher, ArXiv (n.d.).
date_created: 2024-02-07T15:11:11Z
date_published: 2023-10-27T00:00:00Z
date_updated: 2024-02-12T09:45:58Z
day: '27'
department:
- _id: FrLo
doi: 10.48550/arXiv.2310.18123
external_id:
  arxiv:
  - '2310.18123'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2310.18123
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: 'Sample complexity bounds for score-matching: Causal discovery and generative
  modeling'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14954'
abstract:
- lang: eng
  text: "When domain knowledge is limited and experimentation is restricted by ethical,
    financial, or time constraints, practitioners turn to observational causal discovery
    methods to recover the causal structure, exploiting the statistical properties
    of their data. Because causal discovery without further assumptions is an ill-posed
    problem, each algorithm comes with its own set of\r\nusually untestable assumptions,
    some of which are hard to meet in real datasets. Motivated by these considerations,
    this paper extensively benchmarks the empirical performance of recent causal discovery
    methods on observational i.i.d. data generated under different background conditions,
    allowing for violations of the critical assumptions required by each selected
    approach. Our experimental findings show that score matching-based methods demonstrate\r\nsurprising
    performance in the false positive and false negative rate of the inferred graph
    in these challenging scenarios, and we provide theoretical insights into their
    performance. This work is also the first effort to benchmark the stability of
    causal discovery algorithms with respect to the values of their hyperparameters.
    Finally, we hope this paper will set a new standard for the evaluation of causal
    discovery methods and can serve as an accessible entry point for practitioners
    interested in the field, highlighting the empirical implications of different
    algorithm choices."
acknowledgement: "We thank Kun Zhang and Carl-Johann Simon-Gabriel for the insightful
  discussions. This work\r\nhas been supported by AFOSR, grant n. FA8655-20-1-7035.
  FM is supported by Programma\r\nOperativo Nazionale ricerca e innovazione 2014-2020.
  FM partially contributed to this work during an internship at Amazon Web Services
  with FL. FL partially contributed while at AWS."
article_number: '2310.13387'
article_processing_charge: No
arxiv: 1
author:
- first_name: Francesco
  full_name: Montagna, Francesco
  last_name: Montagna
- first_name: Atalanti A.
  full_name: Mastakouri, Atalanti A.
  last_name: Mastakouri
- first_name: Elias
  full_name: Eulig, Elias
  last_name: Eulig
- first_name: Nicoletta
  full_name: Noceti, Nicoletta
  last_name: Noceti
- first_name: Lorenzo
  full_name: Rosasco, Lorenzo
  last_name: Rosasco
- first_name: Dominik
  full_name: Janzing, Dominik
  last_name: Janzing
- first_name: Bryon
  full_name: Aragam, Bryon
  last_name: Aragam
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: Montagna F, Mastakouri AA, Eulig E, et al. Assumption violations in causal
    discovery and the robustness of score matching. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2310.13387">10.48550/arXiv.2310.13387</a>
  apa: Montagna, F., Mastakouri, A. A., Eulig, E., Noceti, N., Rosasco, L., Janzing,
    D., … Locatello, F. (n.d.). Assumption violations in causal discovery and the
    robustness of score matching. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2310.13387">https://doi.org/10.48550/arXiv.2310.13387</a>
  chicago: Montagna, Francesco, Atalanti A. Mastakouri, Elias Eulig, Nicoletta Noceti,
    Lorenzo Rosasco, Dominik Janzing, Bryon Aragam, and Francesco Locatello. “Assumption
    Violations in Causal Discovery and the Robustness of Score Matching.” <i>ArXiv</i>,
    n.d. <a href="https://doi.org/10.48550/arXiv.2310.13387">https://doi.org/10.48550/arXiv.2310.13387</a>.
  ieee: F. Montagna <i>et al.</i>, “Assumption violations in causal discovery and
    the robustness of score matching,” <i>arXiv</i>. .
  ista: Montagna F, Mastakouri AA, Eulig E, Noceti N, Rosasco L, Janzing D, Aragam
    B, Locatello F. Assumption violations in causal discovery and the robustness of
    score matching. arXiv, 2310.13387.
  mla: Montagna, Francesco, et al. “Assumption Violations in Causal Discovery and
    the Robustness of Score Matching.” <i>ArXiv</i>, 2310.13387, doi:<a href="https://doi.org/10.48550/arXiv.2310.13387">10.48550/arXiv.2310.13387</a>.
  short: F. Montagna, A.A. Mastakouri, E. Eulig, N. Noceti, L. Rosasco, D. Janzing,
    B. Aragam, F. Locatello, ArXiv (n.d.).
date_created: 2024-02-07T15:11:56Z
date_published: 2023-10-20T00:00:00Z
date_updated: 2024-02-12T09:51:15Z
day: '20'
department:
- _id: FrLo
doi: 10.48550/arXiv.2310.13387
external_id:
  arxiv:
  - '2310.13387'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2310.13387
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Assumption violations in causal discovery and the robustness of score matching
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
OA_place: repository
OA_type: green
_id: '14958'
abstract:
- lang: eng
  text: Causal representation learning (CRL) aims at identifying high-level causal
    variables from low-level data, e.g. images. Current methods usually assume that
    all causal variables are captured in the high-dimensional observations. In this
    work, we focus on learning causal representations from data under partial observability,
    i.e., when some of the causal variables are not observed in the measurements,
    and the set of masked variables changes across the different samples. We introduce
    some initial theoretical results for identifying causal variables under partial
    observability by exploiting a sparsity regularizer, focusing in particular on
    the linear and piecewise linear mixing function case. We provide a theorem that
    allows us to identify the causal variables up to permutation and element-wise
    linear transformations in the linear case and a lemma that allows us to identify
    causal variables up to linear transformation in the piecewise case. Finally, we
    provide a conjecture that would allow us to identify the causal variables up to
    permutation and element-wise linear transformations also in the piecewise linear
    case. We test the theorem and conjecture on simulated data, showing the effectiveness
    of our method.
acknowledgement: "This work was initiated at the Second Bellairs Workshop on Causality
  held at the Bellairs Research Institute, January 6–13, 2022; we thank all workshop
  participants for providing a stimulating research environment. The research of DX
  and SM was supported by the Air Force Office of Scientific Research under award
  number FA8655-22-1-7155. Any opinions, findings, and conclusions or recommendations
  expressed in this material are those of the author(s) and do not necessarily reflect
  the views of the United States Air Force. We also thank SURF for the support in
  using the Dutch National Supercomputer Snellius. DY was supported by an Amazon fellowship
  and the International Max Planck Research School for Intelligent Systems (IMPRS-IS).
  Work done outside of Amazon. SL was supported by an IVADO excellence PhD scholarship
  and by Samsung Electronics Co., Ldt. JvK acknowledges support from the German Federal
  Ministry of Education and Research (BMBF)\r\nthrough the Tübingen AI Center (FKZ:
  01IS18039B).\r\n"
article_number: '54'
article_processing_charge: No
author:
- first_name: Danru
  full_name: Xu, Danru
  last_name: Xu
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Sebastien
  full_name: Lachapelle, Sebastien
  last_name: Lachapelle
- first_name: Perouz
  full_name: Taslakian, Perouz
  last_name: Taslakian
- first_name: Julius
  full_name: von Kügelgen, Julius
  last_name: von Kügelgen
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Sara
  full_name: Magliacane, Sara
  last_name: Magliacane
citation:
  ama: 'Xu D, Yao D, Lachapelle S, et al. A sparsity principle for partially observable
    causal representation learning. In: <i>Causal Representation Learning Workshop
    at NeurIPS 2023</i>. OpenReview; 2023.'
  apa: 'Xu, D., Yao, D., Lachapelle, S., Taslakian, P., von Kügelgen, J., Locatello,
    F., &#38; Magliacane, S. (2023). A sparsity principle for partially observable
    causal representation learning. In <i>Causal Representation Learning Workshop
    at NeurIPS 2023</i>. New Orleans, LA, United States: OpenReview.'
  chicago: Xu, Danru, Dingling Yao, Sebastien Lachapelle, Perouz Taslakian, Julius
    von Kügelgen, Francesco Locatello, and Sara Magliacane. “A Sparsity Principle
    for Partially Observable Causal Representation Learning.” In <i>Causal Representation
    Learning Workshop at NeurIPS 2023</i>. OpenReview, 2023.
  ieee: D. Xu <i>et al.</i>, “A sparsity principle for partially observable causal
    representation learning,” in <i>Causal Representation Learning Workshop at NeurIPS
    2023</i>, New Orleans, LA, United States, 2023.
  ista: 'Xu D, Yao D, Lachapelle S, Taslakian P, von Kügelgen J, Locatello F, Magliacane
    S. 2023. A sparsity principle for partially observable causal representation learning.
    Causal Representation Learning Workshop at NeurIPS 2023. CRL: Causal Representation
    Learning Workshop at NeurIPS, 54.'
  mla: Xu, Danru, et al. “A Sparsity Principle for Partially Observable Causal Representation
    Learning.” <i>Causal Representation Learning Workshop at NeurIPS 2023</i>, 54,
    OpenReview, 2023.
  short: D. Xu, D. Yao, S. Lachapelle, P. Taslakian, J. von Kügelgen, F. Locatello,
    S. Magliacane, in:, Causal Representation Learning Workshop at NeurIPS 2023, OpenReview,
    2023.
conference:
  end_date: 2023-12-15
  location: New Orleans, LA, United States
  name: 'CRL: Causal Representation Learning Workshop at NeurIPS'
  start_date: 2023-12-15
date_created: 2024-02-07T15:17:51Z
date_published: 2023-12-05T00:00:00Z
date_updated: 2025-02-04T12:37:34Z
day: '05'
ddc:
- '000'
department:
- _id: FrLo
file:
- access_level: open_access
  checksum: 484efc27bda75ed6666044989695d9b6
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-13T08:50:53Z
  date_updated: 2024-02-13T08:50:53Z
  file_id: '14982'
  file_name: 2023_CRL_Xu.pdf
  file_size: 552357
  relation: main_file
  success: 1
file_date_updated: 2024-02-13T08:50:53Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://openreview.net/forum?id=Whr6uobelR
month: '12'
oa: 1
oa_version: Published Version
publication: Causal Representation Learning Workshop at NeurIPS 2023
publication_status: published
publisher: OpenReview
quality_controlled: '1'
status: public
title: A sparsity principle for partially observable causal representation learning
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
year: '2023'
...
---
_id: '14961'
abstract:
- lang: eng
  text: "The use of simulated data in the field of causal discovery is ubiquitous
    due to the scarcity of annotated real data. Recently, Reisach et al., 2021 highlighted
    the emergence of patterns in simulated linear data, which displays increasing
    marginal variance in the casual direction. As an ablation in their experiments,
    Montagna et al., 2023 found that similar patterns may emerge in\r\nnonlinear models
    for the variance of the score vector $\\nabla \\log p_{\\mathbf{X}}$, and introduced
    the ScoreSort algorithm. In this work, we formally define and characterize this
    score-sortability pattern of nonlinear additive noise models. We find that it
    defines a class of identifiable (bivariate) causal models overlapping with nonlinear
    additive noise models. We\r\ntheoretically demonstrate the advantages of ScoreSort
    in terms of statistical efficiency compared to prior state-of-the-art score matching-based
    methods and empirically show the score-sortability of the most common synthetic
    benchmarks in the literature. Our findings remark (1) the lack of diversity in
    the data as an important limitation in the evaluation of nonlinear causal discovery
    approaches, (2) the importance of thoroughly testing different settings within
    a problem class, and (3) the importance of analyzing statistical properties in\r\ncausal
    discovery, where research is often limited to defining identifiability conditions
    of the model. "
article_number: '2310.14246'
article_processing_charge: No
arxiv: 1
author:
- first_name: Francesco
  full_name: Montagna, Francesco
  last_name: Montagna
- first_name: Nicoletta
  full_name: Noceti, Nicoletta
  last_name: Noceti
- first_name: Lorenzo
  full_name: Rosasco, Lorenzo
  last_name: Rosasco
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: Montagna F, Noceti N, Rosasco L, Locatello F. Shortcuts for causal discovery
    of nonlinear models by score matching. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2310.14246">10.48550/arXiv.2310.14246</a>
  apa: Montagna, F., Noceti, N., Rosasco, L., &#38; Locatello, F. (n.d.). Shortcuts
    for causal discovery of nonlinear models by score matching. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2310.14246">https://doi.org/10.48550/arXiv.2310.14246</a>
  chicago: Montagna, Francesco, Nicoletta Noceti, Lorenzo Rosasco, and Francesco Locatello.
    “Shortcuts for Causal Discovery of Nonlinear Models by Score Matching.” <i>ArXiv</i>,
    n.d. <a href="https://doi.org/10.48550/arXiv.2310.14246">https://doi.org/10.48550/arXiv.2310.14246</a>.
  ieee: F. Montagna, N. Noceti, L. Rosasco, and F. Locatello, “Shortcuts for causal
    discovery of nonlinear models by score matching,” <i>arXiv</i>. .
  ista: Montagna F, Noceti N, Rosasco L, Locatello F. Shortcuts for causal discovery
    of nonlinear models by score matching. arXiv, 2310.14246.
  mla: Montagna, Francesco, et al. “Shortcuts for Causal Discovery of Nonlinear Models
    by Score Matching.” <i>ArXiv</i>, 2310.14246, doi:<a href="https://doi.org/10.48550/arXiv.2310.14246">10.48550/arXiv.2310.14246</a>.
  short: F. Montagna, N. Noceti, L. Rosasco, F. Locatello, ArXiv (n.d.).
corr_author: '1'
date_created: 2024-02-08T15:31:46Z
date_published: 2023-10-22T00:00:00Z
date_updated: 2024-10-09T21:08:10Z
day: '22'
department:
- _id: FrLo
doi: 10.48550/arXiv.2310.14246
external_id:
  arxiv:
  - '2310.14246'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2310.14246
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Shortcuts for causal discovery of nonlinear models by score matching
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14962'
abstract:
- lang: eng
  text: "In this paper, we show that recent advances in video representation learning\r\nand
    pre-trained vision-language models allow for substantial improvements in\r\nself-supervised
    video object localization. We propose a method that first\r\nlocalizes objects
    in videos via a slot attention approach and then assigns text\r\nto the obtained
    slots. The latter is achieved by an unsupervised way to read\r\nlocalized semantic
    information from the pre-trained CLIP model. The resulting\r\nvideo object localization
    is entirely unsupervised apart from the implicit\r\nannotation contained in CLIP,
    and it is effectively the first unsupervised\r\napproach that yields good results
    on regular video benchmarks."
article_number: '2309.09858'
article_processing_charge: No
arxiv: 1
author:
- first_name: Ke
  full_name: Fan, Ke
  last_name: Fan
- first_name: Zechen
  full_name: Bai, Zechen
  last_name: Bai
- first_name: Tianjun
  full_name: Xiao, Tianjun
  last_name: Xiao
- first_name: Dominik
  full_name: Zietlow, Dominik
  last_name: Zietlow
- first_name: Max
  full_name: Horn, Max
  last_name: Horn
- first_name: Zixu
  full_name: Zhao, Zixu
  last_name: Zhao
- first_name: Carl-Johann Simon-Gabriel
  full_name: Carl-Johann Simon-Gabriel, Carl-Johann Simon-Gabriel
  last_name: Carl-Johann Simon-Gabriel
- first_name: Mike Zheng
  full_name: Shou, Mike Zheng
  last_name: Shou
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Bernt
  full_name: Schiele, Bernt
  last_name: Schiele
- first_name: Thomas
  full_name: Brox, Thomas
  last_name: Brox
- first_name: Zheng
  full_name: Zhang, Zheng
  last_name: Zhang
- first_name: Yanwei
  full_name: Fu, Yanwei
  last_name: Fu
- first_name: Tong
  full_name: He, Tong
  last_name: He
citation:
  ama: Fan K, Bai Z, Xiao T, et al. Unsupervised open-vocabulary object localization
    in videos. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2309.09858">10.48550/arXiv.2309.09858</a>
  apa: Fan, K., Bai, Z., Xiao, T., Zietlow, D., Horn, M., Zhao, Z., … He, T. (n.d.).
    Unsupervised open-vocabulary object localization in videos. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2309.09858">https://doi.org/10.48550/arXiv.2309.09858</a>
  chicago: Fan, Ke, Zechen Bai, Tianjun Xiao, Dominik Zietlow, Max Horn, Zixu Zhao,
    Carl-Johann Simon-Gabriel Carl-Johann Simon-Gabriel, et al. “Unsupervised Open-Vocabulary
    Object Localization in Videos.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2309.09858">https://doi.org/10.48550/arXiv.2309.09858</a>.
  ieee: K. Fan <i>et al.</i>, “Unsupervised open-vocabulary object localization in
    videos,” <i>arXiv</i>. .
  ista: Fan K, Bai Z, Xiao T, Zietlow D, Horn M, Zhao Z, Carl-Johann Simon-Gabriel
    C-JS-G, Shou MZ, Locatello F, Schiele B, Brox T, Zhang Z, Fu Y, He T. Unsupervised
    open-vocabulary object localization in videos. arXiv, 2309.09858.
  mla: Fan, Ke, et al. “Unsupervised Open-Vocabulary Object Localization in Videos.”
    <i>ArXiv</i>, 2309.09858, doi:<a href="https://doi.org/10.48550/arXiv.2309.09858">10.48550/arXiv.2309.09858</a>.
  short: K. Fan, Z. Bai, T. Xiao, D. Zietlow, M. Horn, Z. Zhao, C.-J.S.-G. Carl-Johann
    Simon-Gabriel, M.Z. Shou, F. Locatello, B. Schiele, T. Brox, Z. Zhang, Y. Fu,
    T. He, ArXiv (n.d.).
date_created: 2024-02-08T15:33:39Z
date_published: 2023-09-18T00:00:00Z
date_updated: 2024-02-12T10:12:22Z
day: '18'
department:
- _id: FrLo
doi: 10.48550/arXiv.2309.09858
extern: '1'
external_id:
  arxiv:
  - '2309.09858'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2309.09858
month: '09'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Unsupervised open-vocabulary object localization in videos
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14963'
abstract:
- lang: eng
  text: "Unsupervised object-centric learning methods allow the partitioning of scenes\r\ninto
    entities without additional localization information and are excellent\r\ncandidates
    for reducing the annotation burden of multiple-object tracking (MOT)\r\npipelines.
    Unfortunately, they lack two key properties: objects are often split\r\ninto parts
    and are not consistently tracked over time. In fact,\r\nstate-of-the-art models
    achieve pixel-level accuracy and temporal consistency\r\nby relying on supervised
    object detection with additional ID labels for the\r\nassociation through time.
    This paper proposes a video object-centric model for\r\nMOT. It consists of an
    index-merge module that adapts the object-centric slots\r\ninto detection outputs
    and an object memory module that builds complete object\r\nprototypes to handle
    occlusions. Benefited from object-centric learning, we\r\nonly require sparse
    detection labels (0%-6.25%) for object localization and\r\nfeature binding. Relying
    on our self-supervised\r\nExpectation-Maximization-inspired loss for object association,
    our approach\r\nrequires no ID labels. Our experiments significantly narrow the
    gap between the\r\nexisting object-centric model and the fully supervised state-of-the-art
    and\r\noutperform several unsupervised trackers."
article_number: '2309.00233'
article_processing_charge: No
arxiv: 1
author:
- first_name: Zixu
  full_name: Zhao, Zixu
  last_name: Zhao
- first_name: Jiaze
  full_name: Wang, Jiaze
  last_name: Wang
- first_name: Max
  full_name: Horn, Max
  last_name: Horn
- first_name: Yizhuo
  full_name: Ding, Yizhuo
  last_name: Ding
- first_name: Tong
  full_name: He, Tong
  last_name: He
- first_name: Zechen
  full_name: Bai, Zechen
  last_name: Bai
- first_name: Dominik
  full_name: Zietlow, Dominik
  last_name: Zietlow
- first_name: Carl-Johann Simon-Gabriel
  full_name: Carl-Johann Simon-Gabriel, Carl-Johann Simon-Gabriel
  last_name: Carl-Johann Simon-Gabriel
- first_name: Bing
  full_name: Shuai, Bing
  last_name: Shuai
- first_name: Zhuowen
  full_name: Tu, Zhuowen
  last_name: Tu
- first_name: Thomas
  full_name: Brox, Thomas
  last_name: Brox
- first_name: Bernt
  full_name: Schiele, Bernt
  last_name: Schiele
- first_name: Yanwei
  full_name: Fu, Yanwei
  last_name: Fu
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Zheng
  full_name: Zhang, Zheng
  last_name: Zhang
- first_name: Tianjun
  full_name: Xiao, Tianjun
  last_name: Xiao
citation:
  ama: Zhao Z, Wang J, Horn M, et al. Object-centric multiple object tracking. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2309.00233">10.48550/arXiv.2309.00233</a>
  apa: Zhao, Z., Wang, J., Horn, M., Ding, Y., He, T., Bai, Z., … Xiao, T. (n.d.).
    Object-centric multiple object tracking. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2309.00233">https://doi.org/10.48550/arXiv.2309.00233</a>
  chicago: Zhao, Zixu, Jiaze Wang, Max Horn, Yizhuo Ding, Tong He, Zechen Bai, Dominik
    Zietlow, et al. “Object-Centric Multiple Object Tracking.” <i>ArXiv</i>, n.d.
    <a href="https://doi.org/10.48550/arXiv.2309.00233">https://doi.org/10.48550/arXiv.2309.00233</a>.
  ieee: Z. Zhao <i>et al.</i>, “Object-centric multiple object tracking,” <i>arXiv</i>.
    .
  ista: Zhao Z, Wang J, Horn M, Ding Y, He T, Bai Z, Zietlow D, Carl-Johann Simon-Gabriel
    C-JS-G, Shuai B, Tu Z, Brox T, Schiele B, Fu Y, Locatello F, Zhang Z, Xiao T.
    Object-centric multiple object tracking. arXiv, 2309.00233.
  mla: Zhao, Zixu, et al. “Object-Centric Multiple Object Tracking.” <i>ArXiv</i>,
    2309.00233, doi:<a href="https://doi.org/10.48550/arXiv.2309.00233">10.48550/arXiv.2309.00233</a>.
  short: Z. Zhao, J. Wang, M. Horn, Y. Ding, T. He, Z. Bai, D. Zietlow, C.-J.S.-G.
    Carl-Johann Simon-Gabriel, B. Shuai, Z. Tu, T. Brox, B. Schiele, Y. Fu, F. Locatello,
    Z. Zhang, T. Xiao, ArXiv (n.d.).
date_created: 2024-02-08T15:34:43Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2024-02-12T10:16:21Z
day: '01'
department:
- _id: FrLo
doi: 10.48550/arXiv.2309.00233
extern: '1'
external_id:
  arxiv:
  - '2309.00233'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2309.00233'
month: '09'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Object-centric multiple object tracking
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
OA_place: repository
_id: '14965'
abstract:
- lang: eng
  text: 'A method of determining a correspondence between a first biological property
    of a cell and one or more further biological properties of cells is provided.
    The first biological property and the further biological properties are determined
    by different analysis techniques and each are contained in a respective one of
    a plurality of sets of biological properties. The method includes the steps of:
    converting the plurality of sets of biological properties into corresponding representations
    in a representation format which is invariant to the technologies used to derive
    the biological properties; determining, in said representation format, a representation
    from each of the converted sets of further biological properties which most closely
    matches the first representation of the first biological property; and re-converting
    the determined representations from the representation format back to the biological
    properties associated with the determined representations and thereby determining
    a correspondence between the first biological property and each of the further
    biological properties.'
applicant:
- ETH Zürich
application_date: 2021-04-21
application_number: PCT/EP2021/060318
article_processing_charge: No
author:
- first_name: Joanna
  full_name: Ficek, Joanna
  last_name: Ficek
- first_name: Kjong-Van
  full_name: Lehmann, Kjong-Van
  last_name: Lehmann
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: 'Gunnar '
  full_name: 'Raetsch, Gunnar '
  last_name: Raetsch
- first_name: Stefan
  full_name: Stark, Stefan
  last_name: Stark
citation:
  ama: Ficek J, Lehmann K-V, Locatello F, Raetsch G, Stark S. Methods of determining
    correspondences between biological properties of cells. 2023.
  apa: Ficek, J., Lehmann, K.-V., Locatello, F., Raetsch, G., &#38; Stark, S. (2023).
    Methods of determining correspondences between biological properties of cells.
  chicago: Ficek, Joanna, Kjong-Van Lehmann, Francesco Locatello, Gunnar  Raetsch,
    and Stefan Stark. “Methods of Determining Correspondences between Biological Properties
    of Cells,” 2023.
  ieee: J. Ficek, K.-V. Lehmann, F. Locatello, G. Raetsch, and S. Stark, “Methods
    of determining correspondences between biological properties of cells.” 2023.
  ista: Ficek J, Lehmann K-V, Locatello F, Raetsch G, Stark S. 2023. Methods of determining
    correspondences between biological properties of cells.
  mla: Ficek, Joanna, et al. <i>Methods of Determining Correspondences between Biological
    Properties of Cells</i>. 2023.
  short: J. Ficek, K.-V. Lehmann, F. Locatello, G. Raetsch, S. Stark, (2023).
date_created: 2024-02-08T15:52:21Z
date_published: 2023-05-25T00:00:00Z
date_updated: 2025-01-29T10:53:48Z
day: '25'
ddc:
- '540'
department:
- _id: FrLo
extern: '1'
file:
- access_level: open_access
  checksum: 55ed444b176b48e4fb4d609ea895de36
  content_type: application/pdf
  creator: ptazenko
  date_created: 2024-02-08T15:41:51Z
  date_updated: 2024-02-08T15:41:51Z
  file_id: '14966'
  file_name: Patent_FrLo_US20230162818A1.pdf
  file_size: 2893462
  relation: main_file
  success: 1
file_date_updated: 2024-02-08T15:41:51Z
has_accepted_license: '1'
ipc: C12Q1/68 ; G06V10/82 ; G06V20/69 ; G16B40/30
ipn: US20230162818A1
month: '05'
oa: 1
oa_version: Published Version
page: '9'
publication_date: 2023-05-25
status: public
title: Methods of determining correspondences between biological properties of cells
type: patent
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
