---
_id: '15271'
abstract:
- lang: eng
  text: 'We settle the complexity of the (∆ + 1)-coloring and (∆ + 1)-list coloring
    problems intheCONGESTED CLIQUEmodel by presenting a simpledeterministicalgorithm
    for both problemsrunning in a constant number of rounds.  This matches the complexity
    of the recent breakthroughrandomizedconstant-round (∆ + 1)-list coloring algorithm
    due to Chang et al.  [Proceedings of the38th  ACM  Symposium  on  Principles  of  Distributed  Computing,  2019]  and  significantly  improvesupon
    the state-of-the-artO(log ∆)-round deterministic (∆ + 1)-coloring bound of Parter
    [Proceed-ings of the 45th Annual International Colloquium on Automata, Languages
    and Programming].  Aremarkable property of our algorithm is its simplicity.  Whereas
    the state-of-the-artrandomizedal-gorithms for this problem are based on the quite
    involved local coloring algorithm of Chang, Li, andPettie [Proceedings of the
    50th Annual ACM SIGACT Symposium on Theory of Computing, 2018],our algorithm can
    be described in just a few lines.  At a high level, it applies a careful derandomiza-tion
    of a recursive procedure which partitions the nodes and their respective palettes
    into separatebins.  We show that afterO(1) recursion steps, the remaining uncolored
    subgraph within each bin haslinear size and thus can be solved locally by collecting
    it to a single node.  This algorithm can alsobe implemented in the massively parallel
    computation (MPC) model provided that each machine haslinear (inn, the number
    of nodes in the input graph) space.  We also show an extension of our algo-rithm
    to theMPCregime, in which machines havesublinearspace:  we present the first deterministic(∆
    + 1)-list coloring algorithm designed for sublinear-spaceMPC, which runs inO(log
    ∆ + log logn)rounds.'
acknowledgement: The  first  author  was  partially  supported  by  the  Centre  for  Discrete  Mathematics
  and its Applications, by the IBM Faculty Award, and by the EPSRC award EP/N011163/1.  The
  second author was partially supported by the European Union’s Horizon 2020 research
  and innovation program under the Marie Sklodowska-Curie grant agreement 754411.  The
  first and third authors were partially supported by a Weizmann-UK Making Connections
  grant.
article_processing_charge: No
article_type: original
author:
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
- first_name: Peter
  full_name: Davies, Peter
  id: 11396234-BB50-11E9-B24C-90FCE5697425
  last_name: Davies
  orcid: 0000-0002-5646-9524
- first_name: Merav
  full_name: Parter, Merav
  last_name: Parter
citation:
  ama: Czumaj A, Davies P, Parter M. Simple, deterministic, constant-round coloring
    in congested clique and MPC. <i>SIAM Journal on Computing</i>. 2021;50(5):1603-1626.
    doi:<a href="https://doi.org/10.1137/20m1366502">10.1137/20m1366502</a>
  apa: Czumaj, A., Davies, P., &#38; Parter, M. (2021). Simple, deterministic, constant-round
    coloring in congested clique and MPC. <i>SIAM Journal on Computing</i>. Society
    for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/20m1366502">https://doi.org/10.1137/20m1366502</a>
  chicago: Czumaj, Artur, Peter Davies, and Merav Parter. “Simple, Deterministic,
    Constant-Round Coloring in Congested Clique and MPC.” <i>SIAM Journal on Computing</i>.
    Society for Industrial and Applied Mathematics, 2021. <a href="https://doi.org/10.1137/20m1366502">https://doi.org/10.1137/20m1366502</a>.
  ieee: A. Czumaj, P. Davies, and M. Parter, “Simple, deterministic, constant-round
    coloring in congested clique and MPC,” <i>SIAM Journal on Computing</i>, vol.
    50, no. 5. Society for Industrial and Applied Mathematics, pp. 1603–1626, 2021.
  ista: Czumaj A, Davies P, Parter M. 2021. Simple, deterministic, constant-round
    coloring in congested clique and MPC. SIAM Journal on Computing. 50(5), 1603–1626.
  mla: Czumaj, Artur, et al. “Simple, Deterministic, Constant-Round Coloring in Congested
    Clique and MPC.” <i>SIAM Journal on Computing</i>, vol. 50, no. 5, Society for
    Industrial and Applied Mathematics, 2021, pp. 1603–26, doi:<a href="https://doi.org/10.1137/20m1366502">10.1137/20m1366502</a>.
  short: A. Czumaj, P. Davies, M. Parter, SIAM Journal on Computing 50 (2021) 1603–1626.
date_created: 2024-04-03T07:53:22Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-09-10T10:14:11Z
day: '01'
department:
- _id: DaAl
doi: 10.1137/20m1366502
ec_funded: 1
external_id:
  isi:
  - '000713008600004'
fulldoi: https://doi.org/10.1137/20m1366502
intvolume: '        50'
isi: 1
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
month: '01'
oa_version: None
page: 1603-1626
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: SIAM Journal on Computing
publication_identifier:
  eissn:
  - 1095-7111
  issn:
  - 0097-5397
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simple, deterministic, constant-round coloring in congested clique and MPC
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 50
year: '2021'
...
---
_id: '8940'
abstract:
- lang: eng
  text: We quantise Whitney’s construction to prove the existence of a triangulation
    for any C^2 manifold, so that we get an algorithm with explicit bounds. We also
    give a new elementary proof, which is completely geometric.
acknowledgement: This work has been funded by the European Research Council under
  the European Union’s ERC Grant Agreement Number 339025 GUDHI (Algorithmic Foundations
  of Geometric Understanding in Higher Dimensions). The third author also received
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie Skłodowska-Curie Grant Agreement No. 754411. Open access funding
  provided by the Institute of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jean-Daniel
  full_name: Boissonnat, Jean-Daniel
  last_name: Boissonnat
- first_name: Siargey
  full_name: Kachanovich, Siargey
  last_name: Kachanovich
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Boissonnat J-D, Kachanovich S, Wintraecken M. Triangulating submanifolds:
    An elementary and quantified version of Whitney’s method. <i>Discrete &#38; Computational
    Geometry</i>. 2021;66(1):386-434. doi:<a href="https://doi.org/10.1007/s00454-020-00250-8">10.1007/s00454-020-00250-8</a>'
  apa: 'Boissonnat, J.-D., Kachanovich, S., &#38; Wintraecken, M. (2021). Triangulating
    submanifolds: An elementary and quantified version of Whitney’s method. <i>Discrete
    &#38; Computational Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s00454-020-00250-8">https://doi.org/10.1007/s00454-020-00250-8</a>'
  chicago: 'Boissonnat, Jean-Daniel, Siargey Kachanovich, and Mathijs Wintraecken.
    “Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s
    Method.” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2021.
    <a href="https://doi.org/10.1007/s00454-020-00250-8">https://doi.org/10.1007/s00454-020-00250-8</a>.'
  ieee: 'J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds:
    An elementary and quantified version of Whitney’s method,” <i>Discrete &#38; Computational
    Geometry</i>, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.'
  ista: 'Boissonnat J-D, Kachanovich S, Wintraecken M. 2021. Triangulating submanifolds:
    An elementary and quantified version of Whitney’s method. Discrete &#38; Computational
    Geometry. 66(1), 386–434.'
  mla: 'Boissonnat, Jean-Daniel, et al. “Triangulating Submanifolds: An Elementary
    and Quantified Version of Whitney’s Method.” <i>Discrete &#38; Computational Geometry</i>,
    vol. 66, no. 1, Springer Nature, 2021, pp. 386–434, doi:<a href="https://doi.org/10.1007/s00454-020-00250-8">10.1007/s00454-020-00250-8</a>.'
  short: J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete &#38; Computational
    Geometry 66 (2021) 386–434.
corr_author: '1'
date_created: 2020-12-12T11:07:02Z
date_published: 2021-07-01T00:00:00Z
date_updated: 2025-04-14T07:43:50Z
day: '01'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.1007/s00454-020-00250-8
ec_funded: 1
external_id:
  isi:
  - '000597770300001'
file:
- access_level: open_access
  checksum: c848986091e56699dc12de85adb1e39c
  content_type: application/pdf
  creator: kschuh
  date_created: 2021-08-06T09:52:29Z
  date_updated: 2021-08-06T09:52:29Z
  file_id: '9795'
  file_name: 2021_DescreteCompGeopmetry_Boissonnat.pdf
  file_size: 983307
  relation: main_file
  success: 1
file_date_updated: 2021-08-06T09:52:29Z
fulldoi: https://doi.org/10.1007/s00454-020-00250-8
has_accepted_license: '1'
intvolume: '        66'
isi: 1
issue: '1'
keyword:
- Theoretical Computer Science
- Computational Theory and Mathematics
- Geometry and Topology
- Discrete Mathematics and Combinatorics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 386-434
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Triangulating submanifolds: An elementary and quantified version of Whitney’s
  method'
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 66
year: '2021'
...
---
_id: '10674'
abstract:
- lang: eng
  text: 'In two-player games on graphs, the players move a token through a graph to
    produce an infinite path, which determines the winner of the game. Such games
    are central in formal methods since they model the interaction between a non-terminating
    system and its environment. In bidding games the players bid for the right to
    move the token: in each round, the players simultaneously submit bids, and the
    higher bidder moves the token and pays the other player. Bidding games are known
    to have a clean and elegant mathematical structure that relies on the ability
    of the players to submit arbitrarily small bids. Many applications, however, require
    a fixed granularity for the bids, which can represent, for example, the monetary
    value expressed in cents. We study, for the first time, the combination of discrete-bidding
    and infinite-duration games. Our most important result proves that these games
    form a large determined subclass of concurrent games, where determinacy is the
    strong property that there always exists exactly one player who can guarantee
    winning the game. In particular, we show that, in contrast to non-discrete bidding
    games, the mechanism with which tied bids are resolved plays an important role
    in discrete-bidding games. We study several natural tie-breaking mechanisms and
    show that, while some do not admit determinacy, most natural mechanisms imply
    determinacy for every pair of initial budgets.'
acknowledgement: "This research was supported in part by the Austrian Science Fund
  (FWF) under grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M
  2369-N33 (Meitner fellowship).\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Milad
  full_name: Aghajohari, Milad
  last_name: Aghajohari
- first_name: Guy
  full_name: Avni, Guy
  id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Avni
  orcid: 0000-0001-5588-8287
- 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: Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration
    games. <i>Logical Methods in Computer Science</i>. 2021;17(1):10:1-10:23. doi:<a
    href="https://doi.org/10.23638/LMCS-17(1:10)2021">10.23638/LMCS-17(1:10)2021</a>
  apa: Aghajohari, M., Avni, G., &#38; Henzinger, T. A. (2021). Determinacy in discrete-bidding
    infinite-duration games. <i>Logical Methods in Computer Science</i>. EPI Sciences.
    <a href="https://doi.org/10.23638/LMCS-17(1:10)2021">https://doi.org/10.23638/LMCS-17(1:10)2021</a>
  chicago: Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding
    Infinite-Duration Games.” <i>Logical Methods in Computer Science</i>. EPI Sciences,
    2021. <a href="https://doi.org/10.23638/LMCS-17(1:10)2021">https://doi.org/10.23638/LMCS-17(1:10)2021</a>.
  ieee: M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding
    infinite-duration games,” <i>Logical Methods in Computer Science</i>, vol. 17,
    no. 1. EPI Sciences, p. 10:1-10:23, 2021.
  ista: Aghajohari M, Avni G, Henzinger TA. 2021. Determinacy in discrete-bidding
    infinite-duration games. Logical Methods in Computer Science. 17(1), 10:1-10:23.
  mla: Aghajohari, Milad, et al. “Determinacy in Discrete-Bidding Infinite-Duration
    Games.” <i>Logical Methods in Computer Science</i>, vol. 17, no. 1, EPI Sciences,
    2021, p. 10:1-10:23, doi:<a href="https://doi.org/10.23638/LMCS-17(1:10)2021">10.23638/LMCS-17(1:10)2021</a>.
  short: M. Aghajohari, G. Avni, T.A. Henzinger, Logical Methods in Computer Science
    17 (2021) 10:1-10:23.
corr_author: '1'
das_tickbox: '1'
date_created: 2022-01-25T16:32:13Z
date_published: 2021-02-03T00:00:00Z
date_updated: 2026-07-06T13:21:45Z
day: '03'
ddc:
- '510'
department:
- _id: ToHe
doi: 10.23638/LMCS-17(1:10)2021
external_id:
  arxiv:
  - '1905.03588'
  isi:
  - '000658724600010'
file:
- access_level: open_access
  checksum: b35586a50ed1ca8f44767de116d18d81
  content_type: application/pdf
  creator: alisjak
  date_created: 2022-01-26T08:04:50Z
  date_updated: 2022-01-26T08:04:50Z
  file_id: '10690'
  file_name: 2021_LMCS_AGHAJOHAR.pdf
  file_size: 819878
  relation: main_file
  success: 1
file_date_updated: 2022-01-26T08:04:50Z
fulldoi: https://doi.org/10.23638/LMCS-17(1:10)2021
has_accepted_license: '1'
intvolume: '        17'
isi: 1
issue: '1'
keyword:
- computer science
- computer science and game theory
- logic in computer science
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 10:1-10:23
project:
- _id: 264B3912-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02369
  name: Formal Methods meets Algorithmic Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
publication: Logical Methods in Computer Science
publication_identifier:
  eissn:
  - 1860-5974
publication_status: published
publisher: EPI Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Determinacy in discrete-bidding infinite-duration 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: 17
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
  text: 'We present a faster symbolic algorithm for the following central problem
    in probabilistic verification: Compute the maximal end-component (MEC) decomposition
    of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
    problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
    algorithms is widely used in formal verification and model-checking, where access
    to the input model is restricted to only symbolic operations (e.g., basic set
    operations and computation of one-step neighborhood). For an input MDP with  n  vertices
    and  m  edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
    requires  O(n2)  symbolic operations and  O(1)  symbolic space. The only other
    symbolic algorithm for the MEC decomposition requires  O(nm−−√)  symbolic operations
    and  O(m−−√)  symbolic space. A main open question is whether the worst-case  O(n2)  bound
    for symbolic operations can be beaten. We present a symbolic algorithm that requires  O˜(n1.5)  symbolic
    operations and  O˜(n−−√)  symbolic space. Moreover, the parametrization of our
    algorithm provides a trade-off between symbolic operations and symbolic space:
    for all  0<ϵ≤1/2  the symbolic algorithm requires  O˜(n2−ϵ)  symbolic operations
    and  O˜(nϵ)  symbolic space ( O˜  hides poly-logarithmic factors). Using our techniques
    we present faster algorithms for computing the almost-sure winning regions of  ω
    -regular objectives for MDPs. We consider the canonical parity objectives for  ω
    -regular objectives, and for parity objectives with  d -priorities we present
    an algorithm that computes the almost-sure winning region with  O˜(n2−ϵ)  symbolic
    operations and  O˜(nϵ)  symbolic space, for all  0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
  comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
  through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
  M. H. the research leading to these results has received funding from the European
  Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
  / ERC Grant Agreement no. 340506.
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: Wolfgang
  full_name: Dvorak, Wolfgang
  last_name: Dvorak
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. Symbolic time and space tradeoffs
    for probabilistic verification. In: <i>Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science</i>. IEEE; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>'
  apa: 'Chatterjee, K., Dvorak, W., Henzinger, M., &#38; Svozil, A. (2021). Symbolic
    time and space tradeoffs for probabilistic verification. In <i>Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13).
    Rome, Italy: IEEE. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika Henzinger, and Alexander
    Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    1–13. IEEE, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>.
  ieee: K. Chatterjee, W. Dvorak, M. Henzinger, and A. Svozil, “Symbolic time and
    space tradeoffs for probabilistic verification,” in <i>Proceedings of the 36th
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Rome, Italy, 2021,
    pp. 1–13.
  ista: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. 2021. Symbolic time and space
    tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
    Verification.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
    Computer Science</i>, IEEE, 2021, pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>.
  short: K. Chatterjee, W. Dvorak, M. Henzinger, A. Svozil, in:, Proceedings of the
    36th Annual ACM/IEEE Symposium on Logic in Computer Science, IEEE, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2026-08-12T06:39:42Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
  arxiv:
  - '2104.07466'
  isi:
  - '000947350400089'
fulldoi: https://doi.org/10.1109/LICS52264.2021.9470739
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10004'
abstract:
- lang: eng
  text: 'Markov chains are the de facto finite-state model for stochastic dynamical
    systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
    non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
    criterion is the maximal expected total reward where the MDP stops after T steps,
    which can be computed by a simple dynamic programming algorithm. We consider a
    natural generalization of the problem where the stopping times can be chosen according
    to a probability distribution, such that the expected stopping time is T, to optimize
    the expected total reward. Quite surprisingly we establish inter-reducibility
    of the expected stopping-time problem for Markov chains with the Positivity problem
    (which is related to the well-known Skolem problem), for which establishing either
    decidability or undecidability would be a major breakthrough. Given the hardness
    of the exact problem, we consider the approximate version of the problem: we show
    that it can be solved in exponential time for Markov chains and in exponential
    space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
  previous version of this paper for insightful comments that helped improving the
  presentation. This research was partially supported by the grant ERC CoG 863818
  (ForM-SMArt).
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>.
    IEEE; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2021). Stochastic processes with expected
    stopping time. In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 1–13). Rome, Italy: IEEE. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, 1–13. IEEE, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>.
  ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
    in <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    Rome, Italy, 2021, pp. 1–13.
  ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
    time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, IEEE, 2021, pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>.
  short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
    on Logic in Computer Science, IEEE, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2026-08-12T06:39:27Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
  arxiv:
  - '2104.07278'
  isi:
  - '000947350400036'
fulldoi: https://doi.org/10.1109/LICS52264.2021.9470595
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '18630'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '14125'
abstract:
- lang: eng
  text: "Motivation: Recent technological advances have led to an increase in the
    production and availability of single-cell data. The ability to integrate a set
    of multi-technology measurements would allow the identification of biologically
    or clinically meaningful observations through the unification of the perspectives
    afforded by each technology. In most cases, however, profiling technologies consume
    the used cells and thus pairwise correspondences between datasets are lost. Due
    to the sheer size single-cell datasets can acquire, scalable algorithms that are
    able to universally match single-cell measurements carried out in one cell to
    its corresponding sibling in another technology are needed.\r\nResults: We propose
    Single-Cell data Integration via Matching (SCIM), a scalable approach to recover
    such correspondences in two or more technologies. SCIM assumes that cells share
    a common (low-dimensional) underlying structure and that the underlying cell distribution
    is approximately constant across technologies. It constructs a technology-invariant
    latent space using an autoencoder framework with an adversarial objective. Multi-modal
    datasets are integrated by pairing cells across technologies using a bipartite
    matching scheme that operates on the low-dimensional latent representations. We
    evaluate SCIM on a simulated cellular branching process and show that the cell-to-cell
    matches derived by SCIM reflect the same pseudotime on the simulated dataset.
    Moreover, we apply our method to two real-world scenarios, a melanoma tumor sample
    and a human bone marrow sample, where we pair cells from a scRNA dataset to their
    sibling cells in a CyTOF dataset achieving 90% and 78% cell-matching accuracy
    for each one of the samples, respectively."
article_processing_charge: No
article_type: original
author:
- first_name: Stefan G
  full_name: Stark, Stefan G
  last_name: Stark
- first_name: Joanna
  full_name: Ficek, Joanna
  last_name: Ficek
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Ximena
  full_name: Bonilla, Ximena
  last_name: Bonilla
- first_name: Stéphane
  full_name: Chevrier, Stéphane
  last_name: Chevrier
- first_name: Franziska
  full_name: Singer, Franziska
  last_name: Singer
- first_name: Rudolf
  full_name: Aebersold, Rudolf
  last_name: Aebersold
- first_name: Faisal S
  full_name: Al-Quaddoomi, Faisal S
  last_name: Al-Quaddoomi
- first_name: Jonas
  full_name: Albinus, Jonas
  last_name: Albinus
- first_name: Ilaria
  full_name: Alborelli, Ilaria
  last_name: Alborelli
- first_name: Sonali
  full_name: Andani, Sonali
  last_name: Andani
- first_name: Per-Olof
  full_name: Attinger, Per-Olof
  last_name: Attinger
- first_name: Marina
  full_name: Bacac, Marina
  last_name: Bacac
- first_name: Daniel
  full_name: Baumhoer, Daniel
  last_name: Baumhoer
- first_name: Beatrice
  full_name: Beck-Schimmer, Beatrice
  last_name: Beck-Schimmer
- first_name: Niko
  full_name: Beerenwinkel, Niko
  last_name: Beerenwinkel
- first_name: Christian
  full_name: Beisel, Christian
  last_name: Beisel
- first_name: Lara
  full_name: Bernasconi, Lara
  last_name: Bernasconi
- first_name: Anne
  full_name: Bertolini, Anne
  last_name: Bertolini
- first_name: Bernd
  full_name: Bodenmiller, Bernd
  last_name: Bodenmiller
- first_name: Ximena
  full_name: Bonilla, Ximena
  last_name: Bonilla
- first_name: Ruben
  full_name: Casanova, Ruben
  last_name: Casanova
- first_name: Stéphane
  full_name: Chevrier, Stéphane
  last_name: Chevrier
- first_name: Natalia
  full_name: Chicherova, Natalia
  last_name: Chicherova
- first_name: Maya
  full_name: D'Costa, Maya
  last_name: D'Costa
- first_name: Esther
  full_name: Danenberg, Esther
  last_name: Danenberg
- first_name: Natalie
  full_name: Davidson, Natalie
  last_name: Davidson
- first_name: Monica-Andreea Dră
  full_name: gan, Monica-Andreea Dră
  last_name: gan
- first_name: Reinhard
  full_name: Dummer, Reinhard
  last_name: Dummer
- first_name: Stefanie
  full_name: Engler, Stefanie
  last_name: Engler
- first_name: Martin
  full_name: Erkens, Martin
  last_name: Erkens
- first_name: Katja
  full_name: Eschbach, Katja
  last_name: Eschbach
- first_name: Cinzia
  full_name: Esposito, Cinzia
  last_name: Esposito
- first_name: André
  full_name: Fedier, André
  last_name: Fedier
- first_name: Pedro
  full_name: Ferreira, Pedro
  last_name: Ferreira
- first_name: Joanna
  full_name: Ficek, Joanna
  last_name: Ficek
- first_name: Anja L
  full_name: Frei, Anja L
  last_name: Frei
- first_name: Bruno
  full_name: Frey, Bruno
  last_name: Frey
- first_name: Sandra
  full_name: Goetze, Sandra
  last_name: Goetze
- first_name: Linda
  full_name: Grob, Linda
  last_name: Grob
- first_name: Gabriele
  full_name: Gut, Gabriele
  last_name: Gut
- first_name: Detlef
  full_name: Günther, Detlef
  last_name: Günther
- first_name: Martina
  full_name: Haberecker, Martina
  last_name: Haberecker
- first_name: Pirmin
  full_name: Haeuptle, Pirmin
  last_name: Haeuptle
- first_name: Viola
  full_name: Heinzelmann-Schwarz, Viola
  last_name: Heinzelmann-Schwarz
- first_name: Sylvia
  full_name: Herter, Sylvia
  last_name: Herter
- first_name: Rene
  full_name: Holtackers, Rene
  last_name: Holtackers
- first_name: Tamara
  full_name: Huesser, Tamara
  last_name: Huesser
- first_name: Anja
  full_name: Irmisch, Anja
  last_name: Irmisch
- first_name: Francis
  full_name: Jacob, Francis
  last_name: Jacob
- first_name: Andrea
  full_name: Jacobs, Andrea
  last_name: Jacobs
- first_name: Tim M
  full_name: Jaeger, Tim M
  last_name: Jaeger
- first_name: Katharina
  full_name: Jahn, Katharina
  last_name: Jahn
- first_name: Alva R
  full_name: James, Alva R
  last_name: James
- first_name: Philip M
  full_name: Jermann, Philip M
  last_name: Jermann
- first_name: André
  full_name: Kahles, André
  last_name: Kahles
- first_name: Abdullah
  full_name: Kahraman, Abdullah
  last_name: Kahraman
- first_name: Viktor H
  full_name: Koelzer, Viktor H
  last_name: Koelzer
- first_name: Werner
  full_name: Kuebler, Werner
  last_name: Kuebler
- first_name: Jack
  full_name: Kuipers, Jack
  last_name: Kuipers
- first_name: Christian P
  full_name: Kunze, Christian P
  last_name: Kunze
- first_name: Christian
  full_name: Kurzeder, Christian
  last_name: Kurzeder
- first_name: Kjong-Van
  full_name: Lehmann, Kjong-Van
  last_name: Lehmann
- first_name: Mitchell
  full_name: Levesque, Mitchell
  last_name: Levesque
- first_name: Sebastian
  full_name: Lugert, Sebastian
  last_name: Lugert
- first_name: Gerd
  full_name: Maass, Gerd
  last_name: Maass
- first_name: Markus
  full_name: Manz, Markus
  last_name: Manz
- first_name: Philipp
  full_name: Markolin, Philipp
  last_name: Markolin
- first_name: Julien
  full_name: Mena, Julien
  last_name: Mena
- first_name: Ulrike
  full_name: Menzel, Ulrike
  last_name: Menzel
- first_name: Julian M
  full_name: Metzler, Julian M
  last_name: Metzler
- first_name: Nicola
  full_name: Miglino, Nicola
  last_name: Miglino
- first_name: Emanuela S
  full_name: Milani, Emanuela S
  last_name: Milani
- first_name: Holger
  full_name: Moch, Holger
  last_name: Moch
- first_name: Simone
  full_name: Muenst, Simone
  last_name: Muenst
- first_name: Riccardo
  full_name: Murri, Riccardo
  last_name: Murri
- first_name: Charlotte KY
  full_name: Ng, Charlotte KY
  last_name: Ng
- first_name: Stefan
  full_name: Nicolet, Stefan
  last_name: Nicolet
- first_name: Marta
  full_name: Nowak, Marta
  last_name: Nowak
- first_name: Patrick GA
  full_name: Pedrioli, Patrick GA
  last_name: Pedrioli
- first_name: Lucas
  full_name: Pelkmans, Lucas
  last_name: Pelkmans
- first_name: Salvatore
  full_name: Piscuoglio, Salvatore
  last_name: Piscuoglio
- first_name: Michael
  full_name: Prummer, Michael
  last_name: Prummer
- first_name: Mathilde
  full_name: Ritter, Mathilde
  last_name: Ritter
- first_name: Christian
  full_name: Rommel, Christian
  last_name: Rommel
- first_name: María L
  full_name: Rosano-González, María L
  last_name: Rosano-González
- first_name: Gunnar
  full_name: Rätsch, Gunnar
  last_name: Rätsch
- first_name: Natascha
  full_name: Santacroce, Natascha
  last_name: Santacroce
- first_name: Jacobo Sarabia del
  full_name: Castillo, Jacobo Sarabia del
  last_name: Castillo
- first_name: Ramona
  full_name: Schlenker, Ramona
  last_name: Schlenker
- first_name: Petra C
  full_name: Schwalie, Petra C
  last_name: Schwalie
- first_name: Severin
  full_name: Schwan, Severin
  last_name: Schwan
- first_name: Tobias
  full_name: Schär, Tobias
  last_name: Schär
- first_name: Gabriela
  full_name: Senti, Gabriela
  last_name: Senti
- first_name: Franziska
  full_name: Singer, Franziska
  last_name: Singer
- first_name: Sujana
  full_name: Sivapatham, Sujana
  last_name: Sivapatham
- first_name: Berend
  full_name: Snijder, Berend
  last_name: Snijder
- first_name: Bettina
  full_name: Sobottka, Bettina
  last_name: Sobottka
- first_name: Vipin T
  full_name: Sreedharan, Vipin T
  last_name: Sreedharan
- first_name: Stefan
  full_name: Stark, Stefan
  last_name: Stark
- first_name: Daniel J
  full_name: Stekhoven, Daniel J
  last_name: Stekhoven
- first_name: Alexandre PA
  full_name: Theocharides, Alexandre PA
  last_name: Theocharides
- first_name: Tinu M
  full_name: Thomas, Tinu M
  last_name: Thomas
- first_name: Markus
  full_name: Tolnay, Markus
  last_name: Tolnay
- first_name: Vinko
  full_name: Tosevski, Vinko
  last_name: Tosevski
- first_name: Nora C
  full_name: Toussaint, Nora C
  last_name: Toussaint
- first_name: Mustafa A
  full_name: Tuncel, Mustafa A
  last_name: Tuncel
- first_name: Marina
  full_name: Tusup, Marina
  last_name: Tusup
- first_name: Audrey Van
  full_name: Drogen, Audrey Van
  last_name: Drogen
- first_name: Marcus
  full_name: Vetter, Marcus
  last_name: Vetter
- first_name: Tatjana
  full_name: Vlajnic, Tatjana
  last_name: Vlajnic
- first_name: Sandra
  full_name: Weber, Sandra
  last_name: Weber
- first_name: Walter P
  full_name: Weber, Walter P
  last_name: Weber
- first_name: Rebekka
  full_name: Wegmann, Rebekka
  last_name: Wegmann
- first_name: Michael
  full_name: Weller, Michael
  last_name: Weller
- first_name: Fabian
  full_name: Wendt, Fabian
  last_name: Wendt
- first_name: Norbert
  full_name: Wey, Norbert
  last_name: Wey
- first_name: Andreas
  full_name: Wicki, Andreas
  last_name: Wicki
- first_name: Bernd
  full_name: Wollscheid, Bernd
  last_name: Wollscheid
- first_name: Shuqing
  full_name: Yu, Shuqing
  last_name: Yu
- first_name: Johanna
  full_name: Ziegler, Johanna
  last_name: Ziegler
- first_name: Marc
  full_name: Zimmermann, Marc
  last_name: Zimmermann
- first_name: Martin
  full_name: Zoche, Martin
  last_name: Zoche
- first_name: Gregor
  full_name: Zuend, Gregor
  last_name: Zuend
- first_name: Gunnar
  full_name: Rätsch, Gunnar
  last_name: Rätsch
- first_name: Kjong-Van
  full_name: Lehmann, Kjong-Van
  last_name: Lehmann
citation:
  ama: 'Stark SG, Ficek J, Locatello F, et al. SCIM: Universal single-cell matching
    with unpaired feature sets. <i>Bioinformatics</i>. 2020;36(Supplement_2):i919-i927.
    doi:<a href="https://doi.org/10.1093/bioinformatics/btaa843">10.1093/bioinformatics/btaa843</a>'
  apa: 'Stark, S. G., Ficek, J., Locatello, F., Bonilla, X., Chevrier, S., Singer,
    F., … Lehmann, K.-V. (2020). SCIM: Universal single-cell matching with unpaired
    feature sets. <i>Bioinformatics</i>. Oxford University Press. <a href="https://doi.org/10.1093/bioinformatics/btaa843">https://doi.org/10.1093/bioinformatics/btaa843</a>'
  chicago: 'Stark, Stefan G, Joanna Ficek, Francesco Locatello, Ximena Bonilla, Stéphane
    Chevrier, Franziska Singer, Rudolf Aebersold, et al. “SCIM: Universal Single-Cell
    Matching with Unpaired Feature Sets.” <i>Bioinformatics</i>. Oxford University
    Press, 2020. <a href="https://doi.org/10.1093/bioinformatics/btaa843">https://doi.org/10.1093/bioinformatics/btaa843</a>.'
  ieee: 'S. G. Stark <i>et al.</i>, “SCIM: Universal single-cell matching with unpaired
    feature sets,” <i>Bioinformatics</i>, vol. 36, no. Supplement_2. Oxford University
    Press, pp. i919–i927, 2020.'
  ista: 'Stark SG et al. 2020. SCIM: Universal single-cell matching with unpaired
    feature sets. Bioinformatics. 36(Supplement_2), i919–i927.'
  mla: 'Stark, Stefan G., et al. “SCIM: Universal Single-Cell Matching with Unpaired
    Feature Sets.” <i>Bioinformatics</i>, vol. 36, no. Supplement_2, Oxford University
    Press, 2020, pp. i919–27, doi:<a href="https://doi.org/10.1093/bioinformatics/btaa843">10.1093/bioinformatics/btaa843</a>.'
  short: S.G. Stark, J. Ficek, F. Locatello, X. Bonilla, S. Chevrier, F. Singer, R.
    Aebersold, F.S. Al-Quaddoomi, J. Albinus, I. Alborelli, S. Andani, P.-O. Attinger,
    M. Bacac, D. Baumhoer, B. Beck-Schimmer, N. Beerenwinkel, C. Beisel, L. Bernasconi,
    A. Bertolini, B. Bodenmiller, X. Bonilla, R. Casanova, S. Chevrier, N. Chicherova,
    M. D’Costa, E. Danenberg, N. Davidson, M.-A.D. gan, R. Dummer, S. Engler, M. Erkens,
    K. Eschbach, C. Esposito, A. Fedier, P. Ferreira, J. Ficek, A.L. Frei, B. Frey,
    S. Goetze, L. Grob, G. Gut, D. Günther, M. Haberecker, P. Haeuptle, V. Heinzelmann-Schwarz,
    S. Herter, R. Holtackers, T. Huesser, A. Irmisch, F. Jacob, A. Jacobs, T.M. Jaeger,
    K. Jahn, A.R. James, P.M. Jermann, A. Kahles, A. Kahraman, V.H. Koelzer, W. Kuebler,
    J. Kuipers, C.P. Kunze, C. Kurzeder, K.-V. Lehmann, M. Levesque, S. Lugert, G.
    Maass, M. Manz, P. Markolin, J. Mena, U. Menzel, J.M. Metzler, N. Miglino, E.S.
    Milani, H. Moch, S. Muenst, R. Murri, C.K. Ng, S. Nicolet, M. Nowak, P.G. Pedrioli,
    L. Pelkmans, S. Piscuoglio, M. Prummer, M. Ritter, C. Rommel, M.L. Rosano-González,
    G. Rätsch, N. Santacroce, J.S. del Castillo, R. Schlenker, P.C. Schwalie, S. Schwan,
    T. Schär, G. Senti, F. Singer, S. Sivapatham, B. Snijder, B. Sobottka, V.T. Sreedharan,
    S. Stark, D.J. Stekhoven, A.P. Theocharides, T.M. Thomas, M. Tolnay, V. Tosevski,
    N.C. Toussaint, M.A. Tuncel, M. Tusup, A.V. Drogen, M. Vetter, T. Vlajnic, S.
    Weber, W.P. Weber, R. Wegmann, M. Weller, F. Wendt, N. Wey, A. Wicki, B. Wollscheid,
    S. Yu, J. Ziegler, M. Zimmermann, M. Zoche, G. Zuend, G. Rätsch, K.-V. Lehmann,
    Bioinformatics 36 (2020) i919–i927.
date_created: 2023-08-21T12:28:20Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-09-11T10:21:00Z
day: '01'
department:
- _id: FrLo
doi: 10.1093/bioinformatics/btaa843
extern: '1'
external_id:
  pmid:
  - '33381818'
fulldoi: https://doi.org/10.1093/bioinformatics/btaa843
intvolume: '        36'
issue: Supplement_2
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- Computer Science Applications
- Molecular Biology
- Biochemistry
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1093/bioinformatics/btaa843
month: '12'
oa: 1
oa_version: Published Version
page: i919-i927
pmid: 1
publication: Bioinformatics
publication_identifier:
  eissn:
  - 1367-4811
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/ratschlab/scim
scopus_import: '1'
status: public
title: 'SCIM: Universal single-cell matching with unpaired feature sets'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2020'
...
---
_id: '11657'
abstract:
- lang: eng
  text: The minimum cut problem for an undirected edge-weighted graph asks us to divide
    its set of nodes into two blocks while minimizing the weight sum of the cut edges.
    Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our algorithm
    is based on cluster contraction using label propagation and Padberg and Rinaldi’s
    contraction heuristics [SIAM Review, 1991]. We give both sequential and shared-memory
    parallel implementations of our algorithm. Extensive experiments on both real-world
    and generated instances show that our algorithm finds the optimal cut on nearly
    all instances significantly faster than other state-of-the-art exact algorithms,
    and our error rate is lower than that of other heuristic algorithms. In addition,
    our parallel algorithm runs a factor 7.5× faster on average when using 32 threads.
    To further speed up computations, we also give a version of our algorithm that
    performs random edge contractions as preprocessing. This version achieves a lower
    running time and better parallel scalability at the expense of a higher error
    rate.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Noe, Alexander
  last_name: Noe
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
- first_name: Darren
  full_name: Strash, Darren
  last_name: Strash
citation:
  ama: Henzinger M, Noe A, Schulz C, Strash D. Practical minimum cut algorithms. <i>ACM
    Journal of Experimental Algorithmics</i>. 2018;23:1-22. doi:<a href="https://doi.org/10.1145/3274662">10.1145/3274662</a>
  apa: Henzinger, M., Noe, A., Schulz, C., &#38; Strash, D. (2018). Practical minimum
    cut algorithms. <i>ACM Journal of Experimental Algorithmics</i>. Association for
    Computing Machinery. <a href="https://doi.org/10.1145/3274662">https://doi.org/10.1145/3274662</a>
  chicago: Henzinger, Monika, Alexander Noe, Christian Schulz, and Darren Strash.
    “Practical Minimum Cut Algorithms.” <i>ACM Journal of Experimental Algorithmics</i>.
    Association for Computing Machinery, 2018. <a href="https://doi.org/10.1145/3274662">https://doi.org/10.1145/3274662</a>.
  ieee: M. Henzinger, A. Noe, C. Schulz, and D. Strash, “Practical minimum cut algorithms,”
    <i>ACM Journal of Experimental Algorithmics</i>, vol. 23. Association for Computing
    Machinery, pp. 1–22, 2018.
  ista: Henzinger M, Noe A, Schulz C, Strash D. 2018. Practical minimum cut algorithms.
    ACM Journal of Experimental Algorithmics. 23, 1–22.
  mla: Henzinger, Monika, et al. “Practical Minimum Cut Algorithms.” <i>ACM Journal
    of Experimental Algorithmics</i>, vol. 23, Association for Computing Machinery,
    2018, pp. 1–22, doi:<a href="https://doi.org/10.1145/3274662">10.1145/3274662</a>.
  short: M. Henzinger, A. Noe, C. Schulz, D. Strash, ACM Journal of Experimental Algorithmics
    23 (2018) 1–22.
date_created: 2022-07-27T08:28:26Z
date_published: 2018-10-01T00:00:00Z
date_updated: 2024-11-06T12:05:24Z
day: '01'
doi: 10.1145/3274662
extern: '1'
external_id:
  arxiv:
  - '1708.06127'
fulldoi: https://doi.org/10.1145/3274662
intvolume: '        23'
keyword:
- Theoretical Computer Science
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1708.06127
month: '10'
oa: 1
oa_version: Preprint
page: 1-22
publication: ACM Journal of Experimental Algorithmics
publication_identifier:
  eissn:
  - 1084-6654
  issn:
  - 1084-6654
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Practical minimum cut algorithms
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2018'
...
---
_id: '11670'
abstract:
- lang: eng
  text: Auctions are widely used on the Web. Applications range from sponsored search
    to platforms such as eBay. In these and in many other applications the auctions
    in use are single-/multi-item auctions with unit demand. The main drawback of
    standard mechanisms for this type of auctions, such as VCG and GSP, is the limited
    expressiveness that they offer to the bidders. The General Auction Mechanism (GAM)
    of Aggarwal et al. [2009] takes a first step toward addressing the problem of
    limited expressiveness by computing a bidder optimal, envy-free outcome for linear
    utility functions with identical slopes and a single discontinuity per bidder-item
    pair. We show that in many practical situations this does not suffice to adequately
    model the preferences of the bidders, and we overcome this problem by presenting
    the first mechanism for piecewise linear utility functions with nonidentical slopes
    and multiple discontinuities. Our mechanism runs in polynomial time. Like GAM
    it is incentive compatible for inputs that fulfill a certain nondegeneracy assumption,
    but our requirement is more general than the requirement of GAM. For discontinuous
    utility functions that are nondegenerate as well as for continuous utility functions
    the outcome of our mechanism is a competitive equilibrium. We also show how our
    mechanism can be used to compute approximately bidder optimal, envy-free outcomes
    for a general class of continuous utility functions via piecewise linear approximation.
    Finally, we prove hardness results for even more expressive settings.
acknowledgement: We would like to thank Veronika Loitzenbauer and the anonymous referees
  for their valuable feedback.
article_number: '1'
article_processing_charge: No
article_type: original
author:
- first_name: Paul
  full_name: Dütting, Paul
  last_name: Dütting
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Ingmar
  full_name: Weber, Ingmar
  last_name: Weber
citation:
  ama: Dütting P, Henzinger M, Weber I. An expressive mechanism for auctions on the
    web. <i>ACM Transactions on Economics and Computation</i>. 2015;4(1). doi:<a href="https://doi.org/10.1145/2716312">10.1145/2716312</a>
  apa: Dütting, P., Henzinger, M., &#38; Weber, I. (2015). An expressive mechanism
    for auctions on the web. <i>ACM Transactions on Economics and Computation</i>.
    Association for Computing Machinery. <a href="https://doi.org/10.1145/2716312">https://doi.org/10.1145/2716312</a>
  chicago: Dütting, Paul, Monika Henzinger, and Ingmar Weber. “An Expressive Mechanism
    for Auctions on the Web.” <i>ACM Transactions on Economics and Computation</i>.
    Association for Computing Machinery, 2015. <a href="https://doi.org/10.1145/2716312">https://doi.org/10.1145/2716312</a>.
  ieee: P. Dütting, M. Henzinger, and I. Weber, “An expressive mechanism for auctions
    on the web,” <i>ACM Transactions on Economics and Computation</i>, vol. 4, no.
    1. Association for Computing Machinery, 2015.
  ista: Dütting P, Henzinger M, Weber I. 2015. An expressive mechanism for auctions
    on the web. ACM Transactions on Economics and Computation. 4(1), 1.
  mla: Dütting, Paul, et al. “An Expressive Mechanism for Auctions on the Web.” <i>ACM
    Transactions on Economics and Computation</i>, vol. 4, no. 1, 1, Association for
    Computing Machinery, 2015, doi:<a href="https://doi.org/10.1145/2716312">10.1145/2716312</a>.
  short: P. Dütting, M. Henzinger, I. Weber, ACM Transactions on Economics and Computation
    4 (2015).
date_created: 2022-07-27T12:43:18Z
date_published: 2015-12-02T00:00:00Z
date_updated: 2024-11-06T12:07:05Z
day: '02'
doi: 10.1145/2716312
extern: '1'
fulldoi: https://doi.org/10.1145/2716312
intvolume: '         4'
issue: '1'
keyword:
- Computational Mathematics
- Marketing
- Economics and Econometrics
- Statistics and Probability
- Computer Science (miscellaneous)
language:
- iso: eng
month: '12'
oa_version: None
publication: ACM Transactions on Economics and Computation
publication_identifier:
  eissn:
  - 2167-8383
  issn:
  - 2167-8375
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: An expressive mechanism for auctions on the web
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2015'
...
---
_id: '8459'
abstract:
- lang: eng
  text: Nuclear magnetic resonance (NMR) is a powerful tool for observing the motion
    of biomolecules at the atomic level. One technique, the analysis of relaxation
    dispersion phenomenon, is highly suited for studying the kinetics and thermodynamics
    of biological processes. Built on top of the relax computational environment for
    NMR dynamics is a new dispersion analysis designed to be comprehensive, accurate
    and easy-to-use. The software supports more models, both numeric and analytic,
    than current solutions. An automated protocol, available for scripting and driving
    the graphical user interface (GUI), is designed to simplify the analysis of dispersion
    data for NMR spectroscopists. Decreases in optimization time are granted by parallelization
    for running on computer clusters and by skipping an initial grid search by using
    parameters from one solution as the starting point for another —using analytic
    model results for the numeric models, taking advantage of model nesting, and using
    averaged non-clustered results for the clustered analysis.
article_processing_charge: No
article_type: original
author:
- first_name: Sébastien
  full_name: Morin, Sébastien
  last_name: Morin
- first_name: Troels E
  full_name: Linnet, Troels E
  last_name: Linnet
- first_name: Mathilde
  full_name: Lescanne, Mathilde
  last_name: Lescanne
- first_name: Paul
  full_name: Schanda, Paul
  id: 7B541462-FAF6-11E9-A490-E8DFE5697425
  last_name: Schanda
  orcid: 0000-0002-9350-7606
- first_name: Gary S
  full_name: Thompson, Gary S
  last_name: Thompson
- first_name: Martin
  full_name: Tollinger, Martin
  last_name: Tollinger
- first_name: Kaare
  full_name: Teilum, Kaare
  last_name: Teilum
- first_name: Stéphane
  full_name: Gagné, Stéphane
  last_name: Gagné
- first_name: Dominique
  full_name: Marion, Dominique
  last_name: Marion
- first_name: Christian
  full_name: Griesinger, Christian
  last_name: Griesinger
- first_name: Martin
  full_name: Blackledge, Martin
  last_name: Blackledge
- first_name: Edward J
  full_name: d’Auvergne, Edward J
  last_name: d’Auvergne
citation:
  ama: 'Morin S, Linnet TE, Lescanne M, et al. Relax: The analysis of biomolecular
    kinetics and thermodynamics using NMR relaxation dispersion data. <i>Bioinformatics</i>.
    2014;30(15):2219-2220. doi:<a href="https://doi.org/10.1093/bioinformatics/btu166">10.1093/bioinformatics/btu166</a>'
  apa: 'Morin, S., Linnet, T. E., Lescanne, M., Schanda, P., Thompson, G. S., Tollinger,
    M., … d’Auvergne, E. J. (2014). Relax: The analysis of biomolecular kinetics and
    thermodynamics using NMR relaxation dispersion data. <i>Bioinformatics</i>. Oxford
    University Press. <a href="https://doi.org/10.1093/bioinformatics/btu166">https://doi.org/10.1093/bioinformatics/btu166</a>'
  chicago: 'Morin, Sébastien, Troels E Linnet, Mathilde Lescanne, Paul Schanda, Gary
    S Thompson, Martin Tollinger, Kaare Teilum, et al. “Relax: The Analysis of Biomolecular
    Kinetics and Thermodynamics Using NMR Relaxation Dispersion Data.” <i>Bioinformatics</i>.
    Oxford University Press, 2014. <a href="https://doi.org/10.1093/bioinformatics/btu166">https://doi.org/10.1093/bioinformatics/btu166</a>.'
  ieee: 'S. Morin <i>et al.</i>, “Relax: The analysis of biomolecular kinetics and
    thermodynamics using NMR relaxation dispersion data,” <i>Bioinformatics</i>, vol.
    30, no. 15. Oxford University Press, pp. 2219–2220, 2014.'
  ista: 'Morin S, Linnet TE, Lescanne M, Schanda P, Thompson GS, Tollinger M, Teilum
    K, Gagné S, Marion D, Griesinger C, Blackledge M, d’Auvergne EJ. 2014. Relax:
    The analysis of biomolecular kinetics and thermodynamics using NMR relaxation
    dispersion data. Bioinformatics. 30(15), 2219–2220.'
  mla: 'Morin, Sébastien, et al. “Relax: The Analysis of Biomolecular Kinetics and
    Thermodynamics Using NMR Relaxation Dispersion Data.” <i>Bioinformatics</i>, vol.
    30, no. 15, Oxford University Press, 2014, pp. 2219–20, doi:<a href="https://doi.org/10.1093/bioinformatics/btu166">10.1093/bioinformatics/btu166</a>.'
  short: S. Morin, T.E. Linnet, M. Lescanne, P. Schanda, G.S. Thompson, M. Tollinger,
    K. Teilum, S. Gagné, D. Marion, C. Griesinger, M. Blackledge, E.J. d’Auvergne,
    Bioinformatics 30 (2014) 2219–2220.
date_created: 2020-09-18T10:08:07Z
date_published: 2014-08-01T00:00:00Z
date_updated: 2021-01-12T08:19:25Z
day: '01'
doi: 10.1093/bioinformatics/btu166
extern: '1'
fulldoi: https://doi.org/10.1093/bioinformatics/btu166
intvolume: '        30'
issue: '15'
keyword:
- Statistics and Probability
- Computational Theory and Mathematics
- Biochemistry
- Molecular Biology
- Computational Mathematics
- Computer Science Applications
language:
- iso: eng
month: '08'
oa_version: None
page: 2219-2220
publication: Bioinformatics
publication_identifier:
  issn:
  - 1367-4803
  - 1460-2059
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1093/bioinformatics/btz397
status: public
title: 'Relax: The analysis of biomolecular kinetics and thermodynamics using NMR
  relaxation dispersion data'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 30
year: '2014'
...
---
_id: '9145'
abstract:
- lang: eng
  text: "We have found a new way to express the solutions of the RSM (Reynolds Stress
    Model) equations that allows us to present the turbulent diffusivities for heat,
    salt and momentum in a way that is considerably simpler and thus easier to implement
    than in previous work. The RSM provides the dimensionless mixing efficiencies
    Γα (α stands for heat, salt and momentum). However, to compute the diffusivities,
    one needs additional information, specifically, the dissipation ε. Since a dynamic
    equation for the latter that includes the physical processes relevant to the ocean
    is still not available, one must resort to different sources of information outside
    the RSM to obtain a complete Mixing Scheme usable in OGCMs.\r\nAs for the RSM
    results, we show that the Γα’s are functions of both Ri and Rρ (Richardson number
    and density ratio representing double diffusion, DD); the Γα are different for
    heat, salt and momentum; in the case of heat, the traditional value Γh = 0.2 is
    valid only in the presence of strong shear (when DD is inoperative) while when
    shear subsides, NATRE data show that Γh can be three times as large, a result
    that we reproduce. The salt Γs is given in terms of Γh. The momentum Γm has thus
    far been guessed with different prescriptions while the RSM provides a well defined
    expression for Γm(Ri, Rρ). Having tested Γh, we then test the momentum Γm by showing
    that the turbulent Prandtl number Γm/Γh vs. Ri reproduces the available data quite
    well.\r\n\r\nAs for the dissipation ε, we use different representations, one for
    the mixed layer (ML), one for the thermocline and one for the ocean’s bottom.
    For the ML, we adopt a procedure analogous to the one successfully used in PB
    (planetary boundary layer) studies; for the thermocline, we employ an expression
    for the variable εN−2 from studies of the internal gravity waves spectra which
    includes a latitude dependence; for the ocean bottom, we adopt the enhanced bottom
    diffusivity expression used by previous authors but with a state of the art internal
    tidal energy formulation and replace the fixed Γα = 0.2 with the RSM result that
    brings into the problem the Ri, Rρ dependence of the Γα; the unresolved bottom
    drag, which has thus far been either ignored or modeled with heuristic relations,
    is modeled using a formalism we previously developed and tested in PBL studies.\r\nWe
    carried out several tests without an OGCM. Prandtl and flux Richardson numbers
    vs. Ri. The RSM model reproduces both types of data satisfactorily. DD and Mixing
    efficiency Γh(Ri, Rρ). The RSM model reproduces well the NATRE data. Bimodal ε-distribution.
    NATRE data show that ε(Ri < 1) ≈ 10ε(Ri > 1), which our model reproduces. Heat
    to salt flux ratio. In the Ri ≫ 1 regime, the RSM predictions reproduce the data
    satisfactorily. NATRE mass diffusivity. The z-profile of the mass diffusivity
    reproduces well the measurements at NATRE. The local form of the mixing scheme
    is algebraic with one cubic equation to solve."
article_processing_charge: No
article_type: original
author:
- first_name: V.M.
  full_name: Canuto, V.M.
  last_name: Canuto
- first_name: A.M.
  full_name: Howard, A.M.
  last_name: Howard
- first_name: Y.
  full_name: Cheng, Y.
  last_name: Cheng
- first_name: Caroline J
  full_name: Muller, Caroline J
  id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
  last_name: Muller
  orcid: 0000-0001-5836-5350
- first_name: A.
  full_name: Leboissetier, A.
  last_name: Leboissetier
- first_name: S.R.
  full_name: Jayne, S.R.
  last_name: Jayne
citation:
  ama: 'Canuto VM, Howard AM, Cheng Y, Muller CJ, Leboissetier A, Jayne SR. Ocean
    turbulence, III: New GISS vertical mixing scheme. <i>Ocean Modelling</i>. 2010;34(3-4):70-91.
    doi:<a href="https://doi.org/10.1016/j.ocemod.2010.04.006">10.1016/j.ocemod.2010.04.006</a>'
  apa: 'Canuto, V. M., Howard, A. M., Cheng, Y., Muller, C. J., Leboissetier, A.,
    &#38; Jayne, S. R. (2010). Ocean turbulence, III: New GISS vertical mixing scheme.
    <i>Ocean Modelling</i>. Elsevier. <a href="https://doi.org/10.1016/j.ocemod.2010.04.006">https://doi.org/10.1016/j.ocemod.2010.04.006</a>'
  chicago: 'Canuto, V.M., A.M. Howard, Y. Cheng, Caroline J Muller, A. Leboissetier,
    and S.R. Jayne. “Ocean Turbulence, III: New GISS Vertical Mixing Scheme.” <i>Ocean
    Modelling</i>. Elsevier, 2010. <a href="https://doi.org/10.1016/j.ocemod.2010.04.006">https://doi.org/10.1016/j.ocemod.2010.04.006</a>.'
  ieee: 'V. M. Canuto, A. M. Howard, Y. Cheng, C. J. Muller, A. Leboissetier, and
    S. R. Jayne, “Ocean turbulence, III: New GISS vertical mixing scheme,” <i>Ocean
    Modelling</i>, vol. 34, no. 3–4. Elsevier, pp. 70–91, 2010.'
  ista: 'Canuto VM, Howard AM, Cheng Y, Muller CJ, Leboissetier A, Jayne SR. 2010.
    Ocean turbulence, III: New GISS vertical mixing scheme. Ocean Modelling. 34(3–4),
    70–91.'
  mla: 'Canuto, V. M., et al. “Ocean Turbulence, III: New GISS Vertical Mixing Scheme.”
    <i>Ocean Modelling</i>, vol. 34, no. 3–4, Elsevier, 2010, pp. 70–91, doi:<a href="https://doi.org/10.1016/j.ocemod.2010.04.006">10.1016/j.ocemod.2010.04.006</a>.'
  short: V.M. Canuto, A.M. Howard, Y. Cheng, C.J. Muller, A. Leboissetier, S.R. Jayne,
    Ocean Modelling 34 (2010) 70–91.
date_created: 2021-02-15T14:40:19Z
date_published: 2010-05-12T00:00:00Z
date_updated: 2022-01-24T13:51:35Z
day: '12'
doi: 10.1016/j.ocemod.2010.04.006
extern: '1'
fulldoi: https://doi.org/10.1016/j.ocemod.2010.04.006
intvolume: '        34'
issue: 3-4
keyword:
- Computer Science (miscellaneous)
- Geotechnical Engineering and Engineering Geology
- Atmospheric Science
- Oceanography
language:
- iso: eng
month: '05'
oa_version: None
page: 70-91
publication: Ocean Modelling
publication_identifier:
  issn:
  - 1463-5003
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: 'Ocean turbulence, III: New GISS vertical mixing scheme'
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 34
year: '2010'
...
---
_id: '8509'
abstract:
- lang: eng
  text: The goal of this paper is to present to nonspecialists what is perhaps the
    simplest possible geometrical picture explaining the mechanism of Arnold diffusion.
    We choose to speak of a specific model—that of geometric rays in a periodic optical
    medium. This model is equivalent to that of a particle in a periodic potential
    in ${\mathbb R}^{n}$ with energy prescribed and to the geodesic flow in a Riemannian
    metric on ${\mathbb R}^{n} $.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
- first_name: Mark
  full_name: Levi, Mark
  last_name: Levi
citation:
  ama: Kaloshin V, Levi M. Geometry of Arnold diffusion. <i>SIAM Review</i>. 2008;50(4):702-720.
    doi:<a href="https://doi.org/10.1137/070703235">10.1137/070703235</a>
  apa: Kaloshin, V., &#38; Levi, M. (2008). Geometry of Arnold diffusion. <i>SIAM
    Review</i>. Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/070703235">https://doi.org/10.1137/070703235</a>
  chicago: Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” <i>SIAM
    Review</i>. Society for Industrial &#38; Applied Mathematics, 2008. <a href="https://doi.org/10.1137/070703235">https://doi.org/10.1137/070703235</a>.
  ieee: V. Kaloshin and M. Levi, “Geometry of Arnold diffusion,” <i>SIAM Review</i>,
    vol. 50, no. 4. Society for Industrial &#38; Applied Mathematics, pp. 702–720,
    2008.
  ista: Kaloshin V, Levi M. 2008. Geometry of Arnold diffusion. SIAM Review. 50(4),
    702–720.
  mla: Kaloshin, Vadim, and Mark Levi. “Geometry of Arnold Diffusion.” <i>SIAM Review</i>,
    vol. 50, no. 4, Society for Industrial &#38; Applied Mathematics, 2008, pp. 702–20,
    doi:<a href="https://doi.org/10.1137/070703235">10.1137/070703235</a>.
  short: V. Kaloshin, M. Levi, SIAM Review 50 (2008) 702–720.
date_created: 2020-09-18T10:48:12Z
date_published: 2008-11-05T00:00:00Z
date_updated: 2021-01-12T08:19:46Z
day: '05'
doi: 10.1137/070703235
extern: '1'
fulldoi: https://doi.org/10.1137/070703235
intvolume: '        50'
issue: '4'
keyword:
- Theoretical Computer Science
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
month: '11'
oa_version: None
page: 702-720
publication: SIAM Review
publication_identifier:
  issn:
  - 0036-1445
  - 1095-7200
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
status: public
title: Geometry of Arnold diffusion
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2008'
...
