---
_id: '9197'
abstract:
- lang: eng
  text: In this paper we introduce and study all-pay bidding games, a class of two
    player, zero-sum games on graphs. The game proceeds as follows. We place a token
    on some vertex in the graph and assign budgets to the two players. Each turn,
    each player submits a sealed legal bid (non-negative and below their remaining
    budget), which is deducted from their budget and the highest bidder moves the
    token onto an adjacent vertex. The game ends once a sink is reached, and Player
    1 pays Player 2 the outcome that is associated with the sink. The players attempt
    to maximize their expected outcome. Our games model settings where effort (of
    no inherent value) needs to be invested in an ongoing and stateful manner. On
    the negative side, we show that even in simple games on DAGs, optimal strategies
    may require a distribution over bids with infinite support. A central quantity
    in bidding games is the ratio of the players budgets. On the positive side, we
    show a simple FPTAS for DAGs, that, for each budget ratio, outputs an approximation
    for the optimal strategy for that ratio. We also implement it, show that it performs
    well, and suggests interesting properties of these games. Then, given an outcome
    c, we show an algorithm for finding the necessary and sufficient initial ratio
    for guaranteeing outcome c with probability 1 and a strategy ensuring such. Finally,
    while the general case has not previously been studied, solving the specific game
    in which Player 1 wins iff he wins the first two auctions, has been long stated
    as an open question, which we solve.
acknowledgement: This research was supported by the Austrian Science Fund (FWF) under
  grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner
  fellowship).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Guy
  full_name: Avni, Guy
  id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Avni
  orcid: 0000-0001-5588-8287
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: Avni G, Ibsen-Jensen R, Tkadlec J. All-pay bidding games on graphs. <i>Proceedings
    of the AAAI Conference on Artificial Intelligence</i>. 2020;34(02):1798-1805.
    doi:<a href="https://doi.org/10.1609/aaai.v34i02.5546">10.1609/aaai.v34i02.5546</a>
  apa: 'Avni, G., Ibsen-Jensen, R., &#38; Tkadlec, J. (2020). All-pay bidding games
    on graphs. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>.
    New York, NY, United States: Association for the Advancement of Artificial Intelligence.
    <a href="https://doi.org/10.1609/aaai.v34i02.5546">https://doi.org/10.1609/aaai.v34i02.5546</a>'
  chicago: Avni, Guy, Rasmus Ibsen-Jensen, and Josef Tkadlec. “All-Pay Bidding Games
    on Graphs.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>.
    Association for the Advancement of Artificial Intelligence, 2020. <a href="https://doi.org/10.1609/aaai.v34i02.5546">https://doi.org/10.1609/aaai.v34i02.5546</a>.
  ieee: G. Avni, R. Ibsen-Jensen, and J. Tkadlec, “All-pay bidding games on graphs,”
    <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 34,
    no. 02. Association for the Advancement of Artificial Intelligence, pp. 1798–1805,
    2020.
  ista: Avni G, Ibsen-Jensen R, Tkadlec J. 2020. All-pay bidding games on graphs.
    Proceedings of the AAAI Conference on Artificial Intelligence. 34(02), 1798–1805.
  mla: Avni, Guy, et al. “All-Pay Bidding Games on Graphs.” <i>Proceedings of the
    AAAI Conference on Artificial Intelligence</i>, vol. 34, no. 02, Association for
    the Advancement of Artificial Intelligence, 2020, pp. 1798–805, doi:<a href="https://doi.org/10.1609/aaai.v34i02.5546">10.1609/aaai.v34i02.5546</a>.
  short: G. Avni, R. Ibsen-Jensen, J. Tkadlec, Proceedings of the AAAI Conference
    on Artificial Intelligence 34 (2020) 1798–1805.
conference:
  end_date: 2020-02-12
  location: New York, NY, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2020-02-07
date_created: 2021-02-25T09:05:18Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2023-09-05T12:40:00Z
day: '03'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v34i02.5546
external_id:
  arxiv:
  - '1911.08360'
intvolume: '        34'
issue: '02'
language:
- iso: eng
month: '04'
oa_version: Preprint
page: 1798-1805
project:
- _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: The Wittgenstein Prize
- _id: 264B3912-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02369
  name: Formal Methods meets Algorithmic Game Theory
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - '9781577358350'
  issn:
  - 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: All-pay bidding games on graphs
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 34
year: '2020'
...
---
_id: '9198'
abstract:
- lang: eng
  text: "The optimization of multilayer neural networks typically leads to a solution\r\nwith
    zero training error, yet the landscape can exhibit spurious local minima\r\nand
    the minima can be disconnected. In this paper, we shed light on this\r\nphenomenon:
    we show that the combination of stochastic gradient descent (SGD)\r\nand over-parameterization
    makes the landscape of multilayer neural networks\r\napproximately connected and
    thus more favorable to optimization. More\r\nspecifically, we prove that SGD solutions
    are connected via a piecewise linear\r\npath, and the increase in loss along this
    path vanishes as the number of\r\nneurons grows large. This result is a consequence
    of the fact that the\r\nparameters found by SGD are increasingly dropout stable
    as the network becomes\r\nwider. We show that, if we remove part of the neurons
    (and suitably rescale the\r\nremaining ones), the change in loss is independent
    of the total number of\r\nneurons, and it depends only on how many neurons are
    left. Our results exhibit\r\na mild dependence on the input dimension: they are
    dimension-free for two-layer\r\nnetworks and depend linearly on the dimension
    for multilayer networks. We\r\nvalidate our theoretical findings with numerical
    experiments for different\r\narchitectures and classification tasks."
acknowledgement: M. Mondelli was partially supported by the 2019 LopezLoreta Prize.
  The authors thank Phan-Minh Nguyen for helpful discussions and the IST Distributed
  Algorithms and Systems Lab for providing computational resources.
article_processing_charge: No
arxiv: 1
author:
- first_name: Alexander
  full_name: Shevchenko, Alexander
  last_name: Shevchenko
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Shevchenko A, Mondelli M. Landscape connectivity and dropout stability of
    SGD solutions for over-parameterized neural networks. In: <i>Proceedings of the
    37th International Conference on Machine Learning</i>. Vol 119. ML Research Press;
    2020:8773-8784.'
  apa: Shevchenko, A., &#38; Mondelli, M. (2020). Landscape connectivity and dropout
    stability of SGD solutions for over-parameterized neural networks. In <i>Proceedings
    of the 37th International Conference on Machine Learning</i> (Vol. 119, pp. 8773–8784).
    ML Research Press.
  chicago: Shevchenko, Alexander, and Marco Mondelli. “Landscape Connectivity and
    Dropout Stability of SGD Solutions for Over-Parameterized Neural Networks.” In
    <i>Proceedings of the 37th International Conference on Machine Learning</i>, 119:8773–84.
    ML Research Press, 2020.
  ieee: A. Shevchenko and M. Mondelli, “Landscape connectivity and dropout stability
    of SGD solutions for over-parameterized neural networks,” in <i>Proceedings of
    the 37th International Conference on Machine Learning</i>, 2020, vol. 119, pp.
    8773–8784.
  ista: Shevchenko A, Mondelli M. 2020. Landscape connectivity and dropout stability
    of SGD solutions for over-parameterized neural networks. Proceedings of the 37th
    International Conference on Machine Learning. vol. 119, 8773–8784.
  mla: Shevchenko, Alexander, and Marco Mondelli. “Landscape Connectivity and Dropout
    Stability of SGD Solutions for Over-Parameterized Neural Networks.” <i>Proceedings
    of the 37th International Conference on Machine Learning</i>, vol. 119, ML Research
    Press, 2020, pp. 8773–84.
  short: A. Shevchenko, M. Mondelli, in:, Proceedings of the 37th International Conference
    on Machine Learning, ML Research Press, 2020, pp. 8773–8784.
date_created: 2021-02-25T09:36:22Z
date_published: 2020-07-13T00:00:00Z
date_updated: 2024-09-10T13:03:19Z
day: '13'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '1912.10095'
file:
- access_level: open_access
  checksum: f042c8d4316bd87c6361aa76f1fbdbbe
  content_type: application/pdf
  creator: dernst
  date_created: 2021-03-02T15:38:14Z
  date_updated: 2021-03-02T15:38:14Z
  file_id: '9217'
  file_name: 2020_PMLR_Shevchenko.pdf
  file_size: 5336380
  relation: main_file
  success: 1
file_date_updated: 2021-03-02T15:38:14Z
has_accepted_license: '1'
intvolume: '       119'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 8773-8784
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: Proceedings of the 37th International Conference on Machine Learning
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: Landscape connectivity and dropout stability of SGD solutions for over-parameterized
  neural networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 119
year: '2020'
...
---
_id: '9202'
abstract:
- lang: eng
  text: We propose a novel hybridization method for stability analysis that over-approximates
    nonlinear dynamical systems by switched systems with linear inclusion dynamics.
    We observe that existing hybridization techniques for safety analysis that over-approximate
    nonlinear dynamical systems by switched affine inclusion dynamics and provide
    fixed approximation error, do not suffice for stability analysis. Hence, we propose
    a hybridization method that provides a state-dependent error which converges to
    zero as the state tends to the equilibrium point. The crux of our hybridization
    computation is an elegant recursive algorithm that uses partial derivatives of
    a given function to obtain upper and lower bound matrices for the over-approximating
    linear inclusion. We illustrate our method on some examples to demonstrate the
    application of the theory for stability analysis. In particular, our method is
    able to establish stability of a nonlinear system which does not admit a polynomial
    Lyapunov function.
acknowledgement: Miriam Garc´ıa Soto was partially supported by the Austrian Science
  Fund (FWF) under grant Z211-N23 (Wittgenstein Award). Pavithra Prabhakar was partially
  supported by NSF CAREER Award No. 1552668, NSF Award No. 2008957 and ONR YIP Award
  No. N000141712577.
article_processing_charge: No
author:
- first_name: Miriam
  full_name: Garcia Soto, Miriam
  id: 4B3207F6-F248-11E8-B48F-1D18A9856A87
  last_name: Garcia Soto
  orcid: 0000-0003-2936-5719
- first_name: Pavithra
  full_name: Prabhakar, Pavithra
  last_name: Prabhakar
citation:
  ama: 'Garcia Soto M, Prabhakar P. Hybridization for stability verification of nonlinear
    switched systems. In: <i>2020 IEEE Real-Time Systems Symposium</i>. IEEE; 2020:244-256.
    doi:<a href="https://doi.org/10.1109/RTSS49844.2020.00031">10.1109/RTSS49844.2020.00031</a>'
  apa: 'Garcia Soto, M., &#38; Prabhakar, P. (2020). Hybridization for stability verification
    of nonlinear switched systems. In <i>2020 IEEE Real-Time Systems Symposium</i>
    (pp. 244–256). Houston, TX, USA : IEEE. <a href="https://doi.org/10.1109/RTSS49844.2020.00031">https://doi.org/10.1109/RTSS49844.2020.00031</a>'
  chicago: Garcia Soto, Miriam, and Pavithra Prabhakar. “Hybridization for Stability
    Verification of Nonlinear Switched Systems.” In <i>2020 IEEE Real-Time Systems
    Symposium</i>, 244–56. IEEE, 2020. <a href="https://doi.org/10.1109/RTSS49844.2020.00031">https://doi.org/10.1109/RTSS49844.2020.00031</a>.
  ieee: M. Garcia Soto and P. Prabhakar, “Hybridization for stability verification
    of nonlinear switched systems,” in <i>2020 IEEE Real-Time Systems Symposium</i>,
    Houston, TX, USA , 2020, pp. 244–256.
  ista: 'Garcia Soto M, Prabhakar P. 2020. Hybridization for stability verification
    of nonlinear switched systems. 2020 IEEE Real-Time Systems Symposium. RTTS: Real-Time
    Systems Symposium, 244–256.'
  mla: Garcia Soto, Miriam, and Pavithra Prabhakar. “Hybridization for Stability Verification
    of Nonlinear Switched Systems.” <i>2020 IEEE Real-Time Systems Symposium</i>,
    IEEE, 2020, pp. 244–56, doi:<a href="https://doi.org/10.1109/RTSS49844.2020.00031">10.1109/RTSS49844.2020.00031</a>.
  short: M. Garcia Soto, P. Prabhakar, in:, 2020 IEEE Real-Time Systems Symposium,
    IEEE, 2020, pp. 244–256.
conference:
  end_date: 2020-12-04
  location: 'Houston, TX, USA '
  name: 'RTTS: Real-Time Systems Symposium'
  start_date: 2020-12-01
date_created: 2021-02-26T16:38:24Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2024-02-22T13:25:19Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1109/RTSS49844.2020.00031
external_id:
  isi:
  - '000680435100021'
file:
- access_level: open_access
  checksum: 8f97f229316c3b3a6f0cf99297aa0941
  content_type: application/pdf
  creator: mgarcias
  date_created: 2021-02-26T16:38:14Z
  date_updated: 2021-02-26T16:38:14Z
  file_id: '9203'
  file_name: main.pdf
  file_size: 1125794
  relation: main_file
file_date_updated: 2021-02-26T16:38:14Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
page: 244-256
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
publication: 2020 IEEE Real-Time Systems Symposium
publication_identifier:
  eisbn:
  - '9781728183244'
  eissn:
  - 2576-3172
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Hybridization for stability verification of nonlinear switched systems
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '9208'
abstract:
- lang: eng
  text: 'Bending-active structures are able to efficiently produce complex curved
    shapes from flat panels. The desired deformation of the panels derives from the
    proper selection of their elastic properties. Optimized panels, called FlexMaps,
    are designed such that, once they are bent and assembled, the resulting static
    equilibrium configuration matches a desired input 3D shape. The FlexMaps elastic
    properties are controlled by locally varying spiraling geometric mesostructures,
    which are optimized in size and shape to match specific bending requests, namely
    the global curvature of the target shape. The design pipeline starts from a quad
    mesh representing the input 3D shape, which defines the edge size and the total
    amount of spirals: every quad will embed one spiral. Then, an optimization algorithm
    tunes the geometry of the spirals by using a simplified pre-computed rod model.
    This rod model is derived from a non-linear regression algorithm which approximates
    the non-linear behavior of solid FEM spiral models subject to hundreds of load
    combinations. This innovative pipeline has been applied to the project of a lightweight
    plywood pavilion named FlexMaps Pavilion, which is a single-layer piecewise twisted
    arch that fits a bounding box of 3.90x3.96x3.25 meters. This case study serves
    to test the applicability of this methodology at the architectural scale. The
    structure is validated via FE analyses and the fabrication of the full scale prototype.'
acknowledgement: 'The FlexMaps Pavilion has been awarded First Prize at the “Competition
  and Exhibition of innovative lightweight structures” organized by the IASS Working
  Group 21 within the FORM and FORCE, joint international conference of IASS Symposium
  2019 and Structural Membranes 2019 (Barcelona, 7-11 October 2019) with the following
  motivation: “for its structural innovation of bending-twisting system, connection
  constructability and exquisite craftmanship”[20]. The authors would like to acknowledge
  the Visual Computing Lab Staff of ISTI - CNR, in particular Thomas Alderighi, Marco
  Callieri, Paolo Pingi; Antonio Rizzo of IPCF - CNR; and the Administrative Staff
  of ISTI - CNR. This research was partially funded by the EU H2020 Programme EVOCATION:
  Advanced Visual and Geometric Computing for 3D Capture, Display, and Fabrication
  (grant no. 813170).'
article_number: '1505'
article_processing_charge: No
article_type: original
author:
- first_name: Francesco
  full_name: Laccone, Francesco
  last_name: Laccone
- first_name: Luigi
  full_name: Malomo, Luigi
  last_name: Malomo
- first_name: Jesus
  full_name: Perez Rodriguez, Jesus
  id: 2DC83906-F248-11E8-B48F-1D18A9856A87
  last_name: Perez Rodriguez
- first_name: Nico
  full_name: Pietroni, Nico
  last_name: Pietroni
- first_name: Federico
  full_name: Ponchio, Federico
  last_name: Ponchio
- first_name: Bernd
  full_name: Bickel, Bernd
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Paolo
  full_name: Cignoni, Paolo
  last_name: Cignoni
citation:
  ama: 'Laccone F, Malomo L, Perez Rodriguez J, et al. A bending-active twisted-arch
    plywood structure: Computational design and fabrication of the FlexMaps Pavilion.
    <i>SN Applied Sciences</i>. 2020;2(9). doi:<a href="https://doi.org/10.1007/s42452-020-03305-w">10.1007/s42452-020-03305-w</a>'
  apa: 'Laccone, F., Malomo, L., Perez Rodriguez, J., Pietroni, N., Ponchio, F., Bickel,
    B., &#38; Cignoni, P. (2020). A bending-active twisted-arch plywood structure:
    Computational design and fabrication of the FlexMaps Pavilion. <i>SN Applied Sciences</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s42452-020-03305-w">https://doi.org/10.1007/s42452-020-03305-w</a>'
  chicago: 'Laccone, Francesco, Luigi Malomo, Jesus Perez Rodriguez, Nico Pietroni,
    Federico Ponchio, Bernd Bickel, and Paolo Cignoni. “A Bending-Active Twisted-Arch
    Plywood Structure: Computational Design and Fabrication of the FlexMaps Pavilion.”
    <i>SN Applied Sciences</i>. Springer Nature, 2020. <a href="https://doi.org/10.1007/s42452-020-03305-w">https://doi.org/10.1007/s42452-020-03305-w</a>.'
  ieee: 'F. Laccone <i>et al.</i>, “A bending-active twisted-arch plywood structure:
    Computational design and fabrication of the FlexMaps Pavilion,” <i>SN Applied
    Sciences</i>, vol. 2, no. 9. Springer Nature, 2020.'
  ista: 'Laccone F, Malomo L, Perez Rodriguez J, Pietroni N, Ponchio F, Bickel B,
    Cignoni P. 2020. A bending-active twisted-arch plywood structure: Computational
    design and fabrication of the FlexMaps Pavilion. SN Applied Sciences. 2(9), 1505.'
  mla: 'Laccone, Francesco, et al. “A Bending-Active Twisted-Arch Plywood Structure:
    Computational Design and Fabrication of the FlexMaps Pavilion.” <i>SN Applied
    Sciences</i>, vol. 2, no. 9, 1505, Springer Nature, 2020, doi:<a href="https://doi.org/10.1007/s42452-020-03305-w">10.1007/s42452-020-03305-w</a>.'
  short: F. Laccone, L. Malomo, J. Perez Rodriguez, N. Pietroni, F. Ponchio, B. Bickel,
    P. Cignoni, SN Applied Sciences 2 (2020).
date_created: 2021-02-28T23:01:25Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2021-03-03T09:43:14Z
day: '01'
department:
- _id: BeBi
doi: 10.1007/s42452-020-03305-w
intvolume: '         2'
issue: '9'
language:
- iso: eng
month: '09'
oa_version: None
publication: SN Applied Sciences
publication_identifier:
  eissn:
  - '25233971'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A bending-active twisted-arch plywood structure: Computational design and
  fabrication of the FlexMaps Pavilion'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2020'
...
---
_id: '9221'
abstract:
- lang: eng
  text: "Recent works have shown that gradient descent can find a global minimum for
    over-parameterized neural networks where the widths of all the hidden layers scale
    polynomially with N (N being the number of training samples). In this paper, we
    prove that, for deep networks, a single layer of width N following the input layer
    suffices to ensure a similar guarantee. In particular, all the remaining layers
    are allowed to have constant widths, and form a pyramidal topology. We show an
    application of our result to the widely used LeCun’s initialization and obtain
    an over-parameterization requirement for the single wide layer of order N2.\r\n"
acknowledgement: The authors would like to thank Jan Maas, Mahdi Soltanolkotabi, and
  Daniel Soudry for the helpful discussions, Marius Kloft, Matthias Hein and Quoc
  Dinh Tran for proofreading portions of a prior version of this paper, and James
  Martens for a clarification concerning LeCun’s initialization. M. Mondelli was partially
  supported by the 2019 Lopez-Loreta Prize. Q. Nguyen was partially supported by the
  German Research Foundation (DFG) award KL 2698/2-1.
article_processing_charge: No
arxiv: 1
author:
- first_name: Quynh
  full_name: Nguyen, Quynh
  last_name: Nguyen
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Nguyen Q, Mondelli M. Global convergence of deep networks with one wide layer
    followed by pyramidal topology. In: <i>34th Conference on Neural Information Processing
    Systems</i>. Vol 33. Curran Associates; 2020:11961–11972.'
  apa: 'Nguyen, Q., &#38; Mondelli, M. (2020). Global convergence of deep networks
    with one wide layer followed by pyramidal topology. In <i>34th Conference on Neural
    Information Processing Systems</i> (Vol. 33, pp. 11961–11972). Vancouver, Canada:
    Curran Associates.'
  chicago: Nguyen, Quynh, and Marco Mondelli. “Global Convergence of Deep Networks
    with One Wide Layer Followed by Pyramidal Topology.” In <i>34th Conference on
    Neural Information Processing Systems</i>, 33:11961–11972. Curran Associates,
    2020.
  ieee: Q. Nguyen and M. Mondelli, “Global convergence of deep networks with one wide
    layer followed by pyramidal topology,” in <i>34th Conference on Neural Information
    Processing Systems</i>, Vancouver, Canada, 2020, vol. 33, pp. 11961–11972.
  ista: 'Nguyen Q, Mondelli M. 2020. Global convergence of deep networks with one
    wide layer followed by pyramidal topology. 34th Conference on Neural Information
    Processing Systems. NeurIPS: Neural Information Processing Systems vol. 33, 11961–11972.'
  mla: Nguyen, Quynh, and Marco Mondelli. “Global Convergence of Deep Networks with
    One Wide Layer Followed by Pyramidal Topology.” <i>34th Conference on Neural Information
    Processing Systems</i>, vol. 33, Curran Associates, 2020, pp. 11961–11972.
  short: Q. Nguyen, M. Mondelli, in:, 34th Conference on Neural Information Processing
    Systems, Curran Associates, 2020, pp. 11961–11972.
conference:
  end_date: 2020-12-12
  location: Vancouver, Canada
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2020-12-06
date_created: 2021-03-03T12:06:02Z
date_published: 2020-07-07T00:00:00Z
date_updated: 2024-09-10T13:03:17Z
day: '07'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2002.07867'
intvolume: '        33'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2002.07867
month: '07'
oa: 1
oa_version: Preprint
page: 11961–11972
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: 34th Conference on Neural Information Processing Systems
publication_status: published
publisher: Curran Associates
quality_controlled: '1'
status: public
title: Global convergence of deep networks with one wide layer followed by pyramidal
  topology
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 33
year: '2020'
...
---
_id: '9222'
article_processing_charge: No
author:
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
citation:
  ama: 'Katsaros G. Transport data for: Site‐controlled uniform Ge/Si Hut wires with
    electrically tunable spin–orbit coupling. 2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:9222">10.15479/AT:ISTA:9222</a>'
  apa: 'Katsaros, G. (2020). Transport data for: Site‐controlled uniform Ge/Si Hut
    wires with electrically tunable spin–orbit coupling. Institute of Science and
    Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:9222">https://doi.org/10.15479/AT:ISTA:9222</a>'
  chicago: 'Katsaros, Georgios. “Transport Data for: Site‐controlled Uniform Ge/Si
    Hut Wires with Electrically Tunable Spin–Orbit Coupling.” Institute of Science
    and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:9222">https://doi.org/10.15479/AT:ISTA:9222</a>.'
  ieee: 'G. Katsaros, “Transport data for: Site‐controlled uniform Ge/Si Hut wires
    with electrically tunable spin–orbit coupling.” Institute of Science and Technology
    Austria, 2020.'
  ista: 'Katsaros G. 2020. Transport data for: Site‐controlled uniform Ge/Si Hut wires
    with electrically tunable spin–orbit coupling, Institute of Science and Technology
    Austria, <a href="https://doi.org/10.15479/AT:ISTA:9222">10.15479/AT:ISTA:9222</a>.'
  mla: 'Katsaros, Georgios. <i>Transport Data for: Site‐controlled Uniform Ge/Si Hut
    Wires with Electrically Tunable Spin–Orbit Coupling</i>. Institute of Science
    and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:9222">10.15479/AT:ISTA:9222</a>.'
  short: G. Katsaros, (2020).
contributor:
- contributor_type: research_group
  first_name: Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
date_created: 2021-03-05T18:00:47Z
date_published: 2020-03-16T00:00:00Z
date_updated: 2024-02-21T12:42:13Z
day: '16'
ddc:
- '530'
department:
- _id: GeKa
doi: 10.15479/AT:ISTA:9222
file:
- access_level: open_access
  checksum: 41b66e195ed3dbd73077feee77b05652
  content_type: application/x-zip-compressed
  creator: gkatsaro
  date_created: 2021-03-05T17:50:45Z
  date_updated: 2021-03-05T17:50:45Z
  file_id: '9223'
  file_name: DOI_SiteControlledHWs.zip
  file_size: 13317557
  relation: main_file
- access_level: open_access
  checksum: a1dc5f710ba4b3bb7f248195ba754ab2
  content_type: text/plain
  creator: dernst
  date_created: 2021-03-10T07:31:50Z
  date_updated: 2021-03-10T07:31:50Z
  file_id: '9233'
  file_name: Readme.txt
  file_size: 3515
  relation: main_file
  success: 1
file_date_updated: 2021-03-10T07:31:50Z
has_accepted_license: '1'
month: '03'
oa: 1
oa_version: Published Version
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '7541'
    relation: used_in_publication
    status: public
status: public
title: 'Transport data for: Site‐controlled uniform Ge/Si Hut wires with electrically
  tunable spin–orbit coupling'
tmp:
  image: /images/cc_0.png
  legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
  name: Creative Commons Public Domain Dedication (CC0 1.0)
  short: CC0 (1.0)
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '9249'
abstract:
- lang: eng
  text: Rhombic dodecahedron is a space filling polyhedron which represents the close
    packing of spheres in 3D space and the Voronoi structures of the face centered
    cubic (FCC) lattice. In this paper, we describe a new coordinate system where
    every 3-integer coordinates grid point corresponds to a rhombic dodecahedron centroid.
    In order to illustrate the interest of the new coordinate system, we propose the
    characterization of 3D digital plane with its topological features, such as the
    interrelation between the thickness of the digital plane and the separability
    constraint we aim to obtain. We also present the characterization of 3D digital
    lines and study it as the intersection of multiple digital planes. Characterization
    of 3D digital sphere with relevant topological features is proposed as well along
    with the 48-symmetry appearing in the new coordinate system.
acknowledgement: "This work has been partially supported by the European Research
  Council (ERC) under\r\nthe European Union’s Horizon 2020 research and innovation
  programme, grant no. 788183, and the DFG Collaborative Research Center TRR 109,
  ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no.
  I 02979-N35. "
article_processing_charge: No
article_type: original
author:
- first_name: Ranita
  full_name: Biswas, Ranita
  id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
  last_name: Biswas
  orcid: 0000-0002-5372-7890
- first_name: Gaëlle
  full_name: Largeteau-Skapin, Gaëlle
  last_name: Largeteau-Skapin
- first_name: Rita
  full_name: Zrour, Rita
  last_name: Zrour
- first_name: Eric
  full_name: Andres, Eric
  last_name: Andres
citation:
  ama: Biswas R, Largeteau-Skapin G, Zrour R, Andres E. Digital objects in rhombic
    dodecahedron grid. <i>Mathematical Morphology - Theory and Applications</i>. 2020;4(1):143-158.
    doi:<a href="https://doi.org/10.1515/mathm-2020-0106">10.1515/mathm-2020-0106</a>
  apa: Biswas, R., Largeteau-Skapin, G., Zrour, R., &#38; Andres, E. (2020). Digital
    objects in rhombic dodecahedron grid. <i>Mathematical Morphology - Theory and
    Applications</i>. De Gruyter. <a href="https://doi.org/10.1515/mathm-2020-0106">https://doi.org/10.1515/mathm-2020-0106</a>
  chicago: Biswas, Ranita, Gaëlle Largeteau-Skapin, Rita Zrour, and Eric Andres. “Digital
    Objects in Rhombic Dodecahedron Grid.” <i>Mathematical Morphology - Theory and
    Applications</i>. De Gruyter, 2020. <a href="https://doi.org/10.1515/mathm-2020-0106">https://doi.org/10.1515/mathm-2020-0106</a>.
  ieee: R. Biswas, G. Largeteau-Skapin, R. Zrour, and E. Andres, “Digital objects
    in rhombic dodecahedron grid,” <i>Mathematical Morphology - Theory and Applications</i>,
    vol. 4, no. 1. De Gruyter, pp. 143–158, 2020.
  ista: Biswas R, Largeteau-Skapin G, Zrour R, Andres E. 2020. Digital objects in
    rhombic dodecahedron grid. Mathematical Morphology - Theory and Applications.
    4(1), 143–158.
  mla: Biswas, Ranita, et al. “Digital Objects in Rhombic Dodecahedron Grid.” <i>Mathematical
    Morphology - Theory and Applications</i>, vol. 4, no. 1, De Gruyter, 2020, pp.
    143–58, doi:<a href="https://doi.org/10.1515/mathm-2020-0106">10.1515/mathm-2020-0106</a>.
  short: R. Biswas, G. Largeteau-Skapin, R. Zrour, E. Andres, Mathematical Morphology
    - Theory and Applications 4 (2020) 143–158.
date_created: 2021-03-16T08:55:19Z
date_published: 2020-11-17T00:00:00Z
date_updated: 2021-03-22T09:01:50Z
day: '17'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1515/mathm-2020-0106
ec_funded: 1
file:
- access_level: open_access
  checksum: 4a1043fa0548a725d464017fe2483ce0
  content_type: application/pdf
  creator: dernst
  date_created: 2021-03-22T08:56:37Z
  date_updated: 2021-03-22T08:56:37Z
  file_id: '9272'
  file_name: 2020_MathMorpholTheoryAppl_Biswas.pdf
  file_size: 3668725
  relation: main_file
  success: 1
file_date_updated: 2021-03-22T08:56:37Z
has_accepted_license: '1'
intvolume: '         4'
issue: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 143-158
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: I02979-N35
  name: Persistence and stability of geometric complexes
publication: Mathematical Morphology - Theory and Applications
publication_identifier:
  issn:
  - 2353-3390
publication_status: published
publisher: De Gruyter
quality_controlled: '1'
status: public
title: Digital objects in rhombic dodecahedron grid
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: 4
year: '2020'
...
---
_id: '9299'
abstract:
- lang: eng
  text: We call a multigraph non-homotopic if it can be drawn in the plane in such
    a way that no two edges connecting the same pair of vertices can be continuously
    transformed into each other without passing through a vertex, and no loop can
    be shrunk to its end-vertex in the same way. It is easy to see that a non-homotopic
    multigraph on   n>1  vertices can have arbitrarily many edges. We prove that the
    number of crossings between the edges of a non-homotopic multigraph with n vertices
    and   m>4n  edges is larger than   cm2n  for some constant   c>0 , and that this
    bound is tight up to a polylogarithmic factor. We also show that the lower bound
    is not asymptotically sharp as n is fixed and   m⟶∞ .
acknowledgement: Supported by the National Research, Development and Innovation Office,
  NKFIH, KKP-133864, K-131529, K-116769, K-132696, by the Higher Educational Institutional
  Excellence Program 2019 NKFIH-1158-6/2019, the Austrian Science Fund (FWF), grant
  Z 342-N31, by the Ministry of Education and Science of the Russian Federation MegaGrant
  No. 075-15-2019-1926, and by the ERC Synergy Grant “Dynasnet” No. 810115. A full
  version can be found at https://arxiv.org/abs/2006.14908.
article_processing_charge: No
arxiv: 1
author:
- first_name: János
  full_name: Pach, János
  id: E62E3130-B088-11EA-B919-BF823C25FEA4
  last_name: Pach
- first_name: Gábor
  full_name: Tardos, Gábor
  last_name: Tardos
- first_name: Géza
  full_name: Tóth, Géza
  last_name: Tóth
citation:
  ama: 'Pach J, Tardos G, Tóth G. Crossings between non-homotopic edges. In: <i>28th
    International Symposium on Graph Drawing and Network Visualization</i>. Vol 12590.
    LNCS. Springer Nature; 2020:359-371. doi:<a href="https://doi.org/10.1007/978-3-030-68766-3_28">10.1007/978-3-030-68766-3_28</a>'
  apa: 'Pach, J., Tardos, G., &#38; Tóth, G. (2020). Crossings between non-homotopic
    edges. In <i>28th International Symposium on Graph Drawing and Network Visualization</i>
    (Vol. 12590, pp. 359–371). Virtual, Online: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-68766-3_28">https://doi.org/10.1007/978-3-030-68766-3_28</a>'
  chicago: Pach, János, Gábor Tardos, and Géza Tóth. “Crossings between Non-Homotopic
    Edges.” In <i>28th International Symposium on Graph Drawing and Network Visualization</i>,
    12590:359–71. LNCS. Springer Nature, 2020. <a href="https://doi.org/10.1007/978-3-030-68766-3_28">https://doi.org/10.1007/978-3-030-68766-3_28</a>.
  ieee: J. Pach, G. Tardos, and G. Tóth, “Crossings between non-homotopic edges,”
    in <i>28th International Symposium on Graph Drawing and Network Visualization</i>,
    Virtual, Online, 2020, vol. 12590, pp. 359–371.
  ista: 'Pach J, Tardos G, Tóth G. 2020. Crossings between non-homotopic edges. 28th
    International Symposium on Graph Drawing and Network Visualization. GD: Graph
    Drawing and Network VisualizationLNCS vol. 12590, 359–371.'
  mla: Pach, János, et al. “Crossings between Non-Homotopic Edges.” <i>28th International
    Symposium on Graph Drawing and Network Visualization</i>, vol. 12590, Springer
    Nature, 2020, pp. 359–71, doi:<a href="https://doi.org/10.1007/978-3-030-68766-3_28">10.1007/978-3-030-68766-3_28</a>.
  short: J. Pach, G. Tardos, G. Tóth, in:, 28th International Symposium on Graph Drawing
    and Network Visualization, Springer Nature, 2020, pp. 359–371.
conference:
  end_date: 2020-09-18
  location: Virtual, Online
  name: 'GD: Graph Drawing and Network Visualization'
  start_date: 2020-09-16
date_created: 2021-03-28T22:01:44Z
date_published: 2020-09-20T00:00:00Z
date_updated: 2021-04-06T11:32:32Z
day: '20'
department:
- _id: HeEd
doi: 10.1007/978-3-030-68766-3_28
external_id:
  arxiv:
  - '2006.14908'
intvolume: '     12590'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2006.14908
month: '09'
oa: 1
oa_version: Preprint
page: 359-371
project:
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: The Wittgenstein Prize
publication: 28th International Symposium on Graph Drawing and Network Visualization
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783030687656'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: LNCS
status: public
title: Crossings between non-homotopic edges
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12590
year: '2020'
...
---
_id: '9308'
acknowledgement: This research was carried out with the support of the Russian Foundation
  for Basic Research(grant no. 19-01-00169)
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sergey
  full_name: Avvakumov, Sergey
  id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
  last_name: Avvakumov
- first_name: Uli
  full_name: Wagner, Uli
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
- first_name: Isaac
  full_name: Mabillard, Isaac
  id: 32BF9DAA-F248-11E8-B48F-1D18A9856A87
  last_name: Mabillard
- first_name: A. B.
  full_name: Skopenkov, A. B.
  last_name: Skopenkov
citation:
  ama: Avvakumov S, Wagner U, Mabillard I, Skopenkov AB. Eliminating higher-multiplicity
    intersections, III. Codimension 2. <i>Russian Mathematical Surveys</i>. 2020;75(6):1156-1158.
    doi:<a href="https://doi.org/10.1070/RM9943">10.1070/RM9943</a>
  apa: Avvakumov, S., Wagner, U., Mabillard, I., &#38; Skopenkov, A. B. (2020). Eliminating
    higher-multiplicity intersections, III. Codimension 2. <i>Russian Mathematical
    Surveys</i>. IOP Publishing. <a href="https://doi.org/10.1070/RM9943">https://doi.org/10.1070/RM9943</a>
  chicago: Avvakumov, Sergey, Uli Wagner, Isaac Mabillard, and A. B. Skopenkov. “Eliminating
    Higher-Multiplicity Intersections, III. Codimension 2.” <i>Russian Mathematical
    Surveys</i>. IOP Publishing, 2020. <a href="https://doi.org/10.1070/RM9943">https://doi.org/10.1070/RM9943</a>.
  ieee: S. Avvakumov, U. Wagner, I. Mabillard, and A. B. Skopenkov, “Eliminating higher-multiplicity
    intersections, III. Codimension 2,” <i>Russian Mathematical Surveys</i>, vol.
    75, no. 6. IOP Publishing, pp. 1156–1158, 2020.
  ista: Avvakumov S, Wagner U, Mabillard I, Skopenkov AB. 2020. Eliminating higher-multiplicity
    intersections, III. Codimension 2. Russian Mathematical Surveys. 75(6), 1156–1158.
  mla: Avvakumov, Sergey, et al. “Eliminating Higher-Multiplicity Intersections, III.
    Codimension 2.” <i>Russian Mathematical Surveys</i>, vol. 75, no. 6, IOP Publishing,
    2020, pp. 1156–58, doi:<a href="https://doi.org/10.1070/RM9943">10.1070/RM9943</a>.
  short: S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical
    Surveys 75 (2020) 1156–1158.
date_created: 2021-04-04T22:01:22Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-08-14T11:43:54Z
day: '01'
department:
- _id: UlWa
doi: 10.1070/RM9943
external_id:
  arxiv:
  - '1511.03501'
  isi:
  - '000625983100001'
intvolume: '        75'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1511.03501
month: '12'
oa: 1
oa_version: Preprint
page: 1156-1158
publication: Russian Mathematical Surveys
publication_identifier:
  issn:
  - 0036-0279
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
related_material:
  record:
  - id: '8183'
    relation: earlier_version
    status: public
  - id: '10220'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Eliminating higher-multiplicity intersections, III. Codimension 2
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 75
year: '2020'
...
---
_id: '9326'
abstract:
- lang: eng
  text: The mitochondrial respiratory chain, formed by five protein complexes, utilizes
    energy from catabolic processes to synthesize ATP. Complex I, the first and the
    largest protein complex of the chain, harvests electrons from NADH to reduce quinone,
    while pumping protons across the mitochondrial membrane. Detailed knowledge of
    the working principle of such coupled charge-transfer processes remains, however,
    fragmentary due to bottlenecks in understanding redox-driven conformational transitions
    and their interplay with the hydrated proton pathways. Complex I from Thermus
    thermophilus encases 16 subunits with nine iron–sulfur clusters, reduced by electrons
    from NADH. Here, employing the latest crystal structure of T. thermophilus complex
    I, we have used microsecond-scale molecular dynamics simulations to study the
    chemo-mechanical coupling between redox changes of the iron–sulfur clusters and
    conformational transitions across complex I. First, we identify the redox switches
    within complex I, which allosterically couple the dynamics of the quinone binding
    pocket to the site of NADH reduction. Second, our free-energy calculations reveal
    that the affinity of the quinone, specifically menaquinone, for the binding-site
    is higher than that of its reduced, menaquinol forma design essential for menaquinol
    release. Remarkably, the barriers to diffusive menaquinone dynamics are lesser
    than that of the more ubiquitous ubiquinone, and the naphthoquinone headgroup
    of the former furnishes stronger binding interactions with the pocket, favoring
    menaquinone for charge transport in T. thermophilus. Our computations are consistent
    with experimentally validated mutations and hierarchize the key residues into
    three functional classes, identifying new mutation targets. Third, long-range
    hydrogen-bond networks connecting the quinone-binding site to the transmembrane
    subunits are found to be responsible for proton pumping. Put together, the simulations
    reveal the molecular design principles linking redox reactions to quinone turnover
    to proton translocation in complex I.
article_processing_charge: No
author:
- first_name: Chitrak
  full_name: Gupta, Chitrak
  last_name: Gupta
- first_name: Umesh
  full_name: Khaniya, Umesh
  last_name: Khaniya
- first_name: Chun
  full_name: Chan, Chun
  last_name: Chan
- first_name: Francois
  full_name: Dehez, Francois
  last_name: Dehez
- first_name: Mrinal
  full_name: Shekhar, Mrinal
  last_name: Shekhar
- first_name: M. R.
  full_name: Gunner, M. R.
  last_name: Gunner
- first_name: Leonid A
  full_name: Sazanov, Leonid A
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
- first_name: Christophe
  full_name: Chipot, Christophe
  last_name: Chipot
- first_name: Abhishek
  full_name: Singharoy, Abhishek
  last_name: Singharoy
citation:
  ama: Gupta C, Khaniya U, Chan C, et al. Charge transfer and chemo-mechanical coupling
    in respiratory complex I. 2020. doi:<a href="https://doi.org/10.1021/jacs.9b13450.s002">10.1021/jacs.9b13450.s002</a>
  apa: Gupta, C., Khaniya, U., Chan, C., Dehez, F., Shekhar, M., Gunner, M. R., …
    Singharoy, A. (2020). Charge transfer and chemo-mechanical coupling in respiratory
    complex I. American Chemical Society. <a href="https://doi.org/10.1021/jacs.9b13450.s002">https://doi.org/10.1021/jacs.9b13450.s002</a>
  chicago: Gupta, Chitrak, Umesh Khaniya, Chun Chan, Francois Dehez, Mrinal Shekhar,
    M. R. Gunner, Leonid A Sazanov, Christophe Chipot, and Abhishek Singharoy. “Charge
    Transfer and Chemo-Mechanical Coupling in Respiratory Complex I.” American Chemical
    Society, 2020. <a href="https://doi.org/10.1021/jacs.9b13450.s002">https://doi.org/10.1021/jacs.9b13450.s002</a>.
  ieee: C. Gupta <i>et al.</i>, “Charge transfer and chemo-mechanical coupling in
    respiratory complex I.” American Chemical Society, 2020.
  ista: Gupta C, Khaniya U, Chan C, Dehez F, Shekhar M, Gunner MR, Sazanov LA, Chipot
    C, Singharoy A. 2020. Charge transfer and chemo-mechanical coupling in respiratory
    complex I, American Chemical Society, <a href="https://doi.org/10.1021/jacs.9b13450.s002">10.1021/jacs.9b13450.s002</a>.
  mla: Gupta, Chitrak, et al. <i>Charge Transfer and Chemo-Mechanical Coupling in
    Respiratory Complex I</i>. American Chemical Society, 2020, doi:<a href="https://doi.org/10.1021/jacs.9b13450.s002">10.1021/jacs.9b13450.s002</a>.
  short: C. Gupta, U. Khaniya, C. Chan, F. Dehez, M. Shekhar, M.R. Gunner, L.A. Sazanov,
    C. Chipot, A. Singharoy, (2020).
date_created: 2021-04-14T12:05:20Z
date_published: 2020-05-20T00:00:00Z
date_updated: 2023-08-22T07:49:37Z
day: '20'
department:
- _id: LeSa
doi: 10.1021/jacs.9b13450.s002
main_file_link:
- open_access: '1'
month: '05'
oa: 1
oa_version: Published Version
publisher: American Chemical Society
related_material:
  record:
  - id: '8040'
    relation: used_in_publication
    status: public
status: public
title: Charge transfer and chemo-mechanical coupling in respiratory complex I
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '9415'
abstract:
- lang: eng
  text: 'Optimizing convolutional neural networks for fast inference has recently
    become an extremely active area of research. One of the go-to solutions in this
    context is weight pruning, which aims to reduce computational and memory footprint
    by removing large subsets of the connections in a neural network. Surprisingly,
    much less attention has been given to exploiting sparsity in the activation maps,
    which tend to be naturally sparse in many settings thanks to the structure of
    rectified linear (ReLU) activation functions. In this paper, we present an in-depth
    analysis of methods for maximizing the sparsity of the activations in a trained
    neural network, and show that, when coupled with an efficient sparse-input convolution
    algorithm, we can leverage this sparsity for significant performance gains. To
    induce highly sparse activation maps without accuracy loss, we introduce a new
    regularization technique, coupled with a new threshold-based sparsification method
    based on a parameterized activation function called Forced-Activation-Threshold
    Rectified Linear Unit (FATReLU). We examine the impact of our methods on popular
    image classification models, showing that most architectures can adapt to significantly
    sparser activation maps without any accuracy loss. Our second contribution is
    showing that these these compression gains can be translated into inference speedups:
    we provide a new algorithm to enable fast convolution operations over networks
    with sparse activations, and show that it can enable significant speedups for
    end-to-end inference on a range of popular models on the large-scale ImageNet
    image classification task on modern Intel CPUs, with little or no retraining cost. '
article_processing_charge: No
author:
- first_name: Mark
  full_name: Kurtz, Mark
  last_name: Kurtz
- first_name: Justin
  full_name: Kopinsky, Justin
  last_name: Kopinsky
- first_name: Rati
  full_name: Gelashvili, Rati
  last_name: Gelashvili
- first_name: Alexander
  full_name: Matveev, Alexander
  last_name: Matveev
- first_name: John
  full_name: Carr, John
  last_name: Carr
- first_name: Michael
  full_name: Goin, Michael
  last_name: Goin
- first_name: William
  full_name: Leiserson, William
  last_name: Leiserson
- first_name: Sage
  full_name: Moore, Sage
  last_name: Moore
- first_name: Bill
  full_name: Nell, Bill
  last_name: Nell
- first_name: Nir
  full_name: Shavit, Nir
  last_name: Shavit
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Kurtz M, Kopinsky J, Gelashvili R, et al. Inducing and exploiting activation
    sparsity for fast neural network inference. In: <i>37th International Conference
    on Machine Learning, ICML 2020</i>. Vol 119. ; 2020:5533-5543.'
  apa: Kurtz, M., Kopinsky, J., Gelashvili, R., Matveev, A., Carr, J., Goin, M., …
    Alistarh, D.-A. (2020). Inducing and exploiting activation sparsity for fast neural
    network inference. In <i>37th International Conference on Machine Learning, ICML
    2020</i> (Vol. 119, pp. 5533–5543). Online.
  chicago: Kurtz, Mark, Justin Kopinsky, Rati Gelashvili, Alexander Matveev, John
    Carr, Michael Goin, William Leiserson, et al. “Inducing and Exploiting Activation
    Sparsity for Fast Neural Network Inference.” In <i>37th International Conference
    on Machine Learning, ICML 2020</i>, 119:5533–43, 2020.
  ieee: M. Kurtz <i>et al.</i>, “Inducing and exploiting activation sparsity for fast
    neural network inference,” in <i>37th International Conference on Machine Learning,
    ICML 2020</i>, Online, 2020, vol. 119, pp. 5533–5543.
  ista: 'Kurtz M, Kopinsky J, Gelashvili R, Matveev A, Carr J, Goin M, Leiserson W,
    Moore S, Nell B, Shavit N, Alistarh D-A. 2020. Inducing and exploiting activation
    sparsity for fast neural network inference. 37th International Conference on Machine
    Learning, ICML 2020. ICML: International Conference on Machine Learning vol. 119,
    5533–5543.'
  mla: Kurtz, Mark, et al. “Inducing and Exploiting Activation Sparsity for Fast Neural
    Network Inference.” <i>37th International Conference on Machine Learning, ICML
    2020</i>, vol. 119, 2020, pp. 5533–43.
  short: M. Kurtz, J. Kopinsky, R. Gelashvili, A. Matveev, J. Carr, M. Goin, W. Leiserson,
    S. Moore, B. Nell, N. Shavit, D.-A. Alistarh, in:, 37th International Conference
    on Machine Learning, ICML 2020, 2020, pp. 5533–5543.
conference:
  end_date: 2020-07-18
  location: Online
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2020-07-12
date_created: 2021-05-23T22:01:45Z
date_published: 2020-07-12T00:00:00Z
date_updated: 2023-02-23T13:57:24Z
day: '12'
ddc:
- '000'
department:
- _id: DaAl
file:
- access_level: open_access
  checksum: 2aaaa7d7226e49161311d91627cf783b
  content_type: application/pdf
  creator: kschuh
  date_created: 2021-05-25T09:51:36Z
  date_updated: 2021-05-25T09:51:36Z
  file_id: '9421'
  file_name: 2020_PMLR_Kurtz.pdf
  file_size: 741899
  relation: main_file
  success: 1
file_date_updated: 2021-05-25T09:51:36Z
has_accepted_license: '1'
intvolume: '       119'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 5533-5543
publication: 37th International Conference on Machine Learning, ICML 2020
publication_identifier:
  issn:
  - 2640-3498
quality_controlled: '1'
scopus_import: '1'
status: public
title: Inducing and exploiting activation sparsity for fast neural network inference
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 119
year: '2020'
...
---
_id: '9526'
abstract:
- lang: eng
  text: DNA methylation and histone H1 mediate transcriptional silencing of genes
    and transposable elements, but how they interact is unclear. In plants and animals
    with mosaic genomic methylation, functionally mysterious methylation is also common
    within constitutively active housekeeping genes. Here, we show that H1 is enriched
    in methylated sequences, including genes, of Arabidopsis thaliana, yet this enrichment
    is independent of DNA methylation. Loss of H1 disperses heterochromatin, globally
    alters nucleosome organization, and activates H1-bound genes, but only weakly
    de-represses transposable elements. However, H1 loss strongly activates transposable
    elements hypomethylated through mutation of DNA methyltransferase MET1. Hypomethylation
    of genes also activates antisense transcription, which is modestly enhanced by
    H1 loss. Our results demonstrate that H1 and DNA methylation jointly maintain
    transcriptional homeostasis by silencing transposable elements and aberrant intragenic
    transcripts. Such functionality plausibly explains why DNA methylation, a well-known
    mutagen, has been maintained within coding sequences of crucial plant and animal
    genes.
article_processing_charge: No
article_type: original
author:
- first_name: Jaemyung
  full_name: Choi, Jaemyung
  last_name: Choi
- first_name: David B.
  full_name: Lyons, David B.
  last_name: Lyons
- first_name: M. Yvonne
  full_name: Kim, M. Yvonne
  last_name: Kim
- first_name: Jonathan D.
  full_name: Moore, Jonathan D.
  last_name: Moore
- first_name: Daniel
  full_name: Zilberman, Daniel
  id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
  last_name: Zilberman
  orcid: 0000-0002-0123-8649
citation:
  ama: Choi J, Lyons DB, Kim MY, Moore JD, Zilberman D. DNA methylation and histone
    H1 jointly repress transposable elements and aberrant intragenic transcripts.
    <i>Molecular Cell</i>. 2020;77(2):310-323.e7. doi:<a href="https://doi.org/10.1016/j.molcel.2019.10.011">10.1016/j.molcel.2019.10.011</a>
  apa: Choi, J., Lyons, D. B., Kim, M. Y., Moore, J. D., &#38; Zilberman, D. (2020).
    DNA methylation and histone H1 jointly repress transposable elements and aberrant
    intragenic transcripts. <i>Molecular Cell</i>. Elsevier. <a href="https://doi.org/10.1016/j.molcel.2019.10.011">https://doi.org/10.1016/j.molcel.2019.10.011</a>
  chicago: Choi, Jaemyung, David B. Lyons, M. Yvonne Kim, Jonathan D. Moore, and Daniel
    Zilberman. “DNA Methylation and Histone H1 Jointly Repress Transposable Elements
    and Aberrant Intragenic Transcripts.” <i>Molecular Cell</i>. Elsevier, 2020. <a
    href="https://doi.org/10.1016/j.molcel.2019.10.011">https://doi.org/10.1016/j.molcel.2019.10.011</a>.
  ieee: J. Choi, D. B. Lyons, M. Y. Kim, J. D. Moore, and D. Zilberman, “DNA methylation
    and histone H1 jointly repress transposable elements and aberrant intragenic transcripts,”
    <i>Molecular Cell</i>, vol. 77, no. 2. Elsevier, p. 310–323.e7, 2020.
  ista: Choi J, Lyons DB, Kim MY, Moore JD, Zilberman D. 2020. DNA methylation and
    histone H1 jointly repress transposable elements and aberrant intragenic transcripts.
    Molecular Cell. 77(2), 310–323.e7.
  mla: Choi, Jaemyung, et al. “DNA Methylation and Histone H1 Jointly Repress Transposable
    Elements and Aberrant Intragenic Transcripts.” <i>Molecular Cell</i>, vol. 77,
    no. 2, Elsevier, 2020, p. 310–323.e7, doi:<a href="https://doi.org/10.1016/j.molcel.2019.10.011">10.1016/j.molcel.2019.10.011</a>.
  short: J. Choi, D.B. Lyons, M.Y. Kim, J.D. Moore, D. Zilberman, Molecular Cell 77
    (2020) 310–323.e7.
date_created: 2021-06-08T06:37:09Z
date_published: 2020-01-16T00:00:00Z
date_updated: 2021-12-14T07:51:15Z
day: '16'
department:
- _id: DaZi
doi: 10.1016/j.molcel.2019.10.011
extern: '1'
external_id:
  pmid:
  - '31732458'
intvolume: '        77'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.molcel.2019.10.011
month: '01'
oa: 1
oa_version: Published Version
page: 310-323.e7
pmid: 1
publication: Molecular Cell
publication_identifier:
  eissn:
  - 1097-4164
  issn:
  - 1097-2765
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: DNA methylation and histone H1 jointly repress transposable elements and aberrant
  intragenic transcripts
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 77
year: '2020'
...
---
_id: '9573'
abstract:
- lang: eng
  text: It is a classical fact that for any ε>0, a random permutation of length n=(1+ε)k2/4
    typically contains a monotone subsequence of length k. As a far-reaching generalization,
    Alon conjectured that a random permutation of this same length n is typically
    k-universal, meaning that it simultaneously contains every pattern of length k.
    He also made the simple observation that for n=O(k2logk), a random length-n permutation
    is typically k-universal. We make the first significant progress towards Alon's
    conjecture by showing that n=2000k2loglogk suffices.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Xiaoyu
  full_name: He, Xiaoyu
  last_name: He
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
citation:
  ama: He X, Kwan MA. Universality of random permutations. <i>Bulletin of the London
    Mathematical Society</i>. 2020;52(3):515-529. doi:<a href="https://doi.org/10.1112/blms.12345">10.1112/blms.12345</a>
  apa: He, X., &#38; Kwan, M. A. (2020). Universality of random permutations. <i>Bulletin
    of the London Mathematical Society</i>. Wiley. <a href="https://doi.org/10.1112/blms.12345">https://doi.org/10.1112/blms.12345</a>
  chicago: He, Xiaoyu, and Matthew Alan Kwan. “Universality of Random Permutations.”
    <i>Bulletin of the London Mathematical Society</i>. Wiley, 2020. <a href="https://doi.org/10.1112/blms.12345">https://doi.org/10.1112/blms.12345</a>.
  ieee: X. He and M. A. Kwan, “Universality of random permutations,” <i>Bulletin of
    the London Mathematical Society</i>, vol. 52, no. 3. Wiley, pp. 515–529, 2020.
  ista: He X, Kwan MA. 2020. Universality of random permutations. Bulletin of the
    London Mathematical Society. 52(3), 515–529.
  mla: He, Xiaoyu, and Matthew Alan Kwan. “Universality of Random Permutations.” <i>Bulletin
    of the London Mathematical Society</i>, vol. 52, no. 3, Wiley, 2020, pp. 515–29,
    doi:<a href="https://doi.org/10.1112/blms.12345">10.1112/blms.12345</a>.
  short: X. He, M.A. Kwan, Bulletin of the London Mathematical Society 52 (2020) 515–529.
date_created: 2021-06-21T06:23:42Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-02-23T14:01:23Z
day: '01'
doi: 10.1112/blms.12345
extern: '1'
external_id:
  arxiv:
  - '1911.12878'
intvolume: '        52'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1911.12878
month: '06'
oa: 1
oa_version: Preprint
page: 515-529
publication: Bulletin of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-2120
  issn:
  - 0024-6093
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Universality of random permutations
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 52
year: '2020'
...
---
_id: '9576'
abstract:
- lang: eng
  text: In 1989, Rota made the following conjecture. Given n bases B1,…,Bn in an n-dimensional
    vector space V⁠, one can always find n disjoint bases of V⁠, each containing exactly
    one element from each Bi (we call such bases transversal bases). Rota’s basis
    conjecture remains wide open despite its apparent simplicity and the efforts of
    many researchers (e.g., the conjecture was recently the subject of the collaborative
    “Polymath” project). In this paper we prove that one can always find (1/2−o(1))n
    disjoint transversal bases, improving on the previous best bound of Ω(n/logn)⁠.
    Our results also apply to the more general setting of matroids.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matija
  full_name: Bucić, Matija
  last_name: Bucić
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
- first_name: Alexey
  full_name: Pokrovskiy, Alexey
  last_name: Pokrovskiy
- first_name: Benny
  full_name: Sudakov, Benny
  last_name: Sudakov
citation:
  ama: Bucić M, Kwan MA, Pokrovskiy A, Sudakov B. Halfway to Rota’s basis conjecture.
    <i>International Mathematics Research Notices</i>. 2020;2020(21):8007-8026. doi:<a
    href="https://doi.org/10.1093/imrn/rnaa004">10.1093/imrn/rnaa004</a>
  apa: Bucić, M., Kwan, M. A., Pokrovskiy, A., &#38; Sudakov, B. (2020). Halfway to
    Rota’s basis conjecture. <i>International Mathematics Research Notices</i>. Oxford
    University Press. <a href="https://doi.org/10.1093/imrn/rnaa004">https://doi.org/10.1093/imrn/rnaa004</a>
  chicago: Bucić, Matija, Matthew Alan Kwan, Alexey Pokrovskiy, and Benny Sudakov.
    “Halfway to Rota’s Basis Conjecture.” <i>International Mathematics Research Notices</i>.
    Oxford University Press, 2020. <a href="https://doi.org/10.1093/imrn/rnaa004">https://doi.org/10.1093/imrn/rnaa004</a>.
  ieee: M. Bucić, M. A. Kwan, A. Pokrovskiy, and B. Sudakov, “Halfway to Rota’s basis
    conjecture,” <i>International Mathematics Research Notices</i>, vol. 2020, no.
    21. Oxford University Press, pp. 8007–8026, 2020.
  ista: Bucić M, Kwan MA, Pokrovskiy A, Sudakov B. 2020. Halfway to Rota’s basis conjecture.
    International Mathematics Research Notices. 2020(21), 8007–8026.
  mla: Bucić, Matija, et al. “Halfway to Rota’s Basis Conjecture.” <i>International
    Mathematics Research Notices</i>, vol. 2020, no. 21, Oxford University Press,
    2020, pp. 8007–26, doi:<a href="https://doi.org/10.1093/imrn/rnaa004">10.1093/imrn/rnaa004</a>.
  short: M. Bucić, M.A. Kwan, A. Pokrovskiy, B. Sudakov, International Mathematics
    Research Notices 2020 (2020) 8007–8026.
date_created: 2021-06-21T08:12:30Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-02-23T14:01:30Z
day: '01'
doi: 10.1093/imrn/rnaa004
extern: '1'
external_id:
  arxiv:
  - '1810.07462'
intvolume: '      2020'
issue: '21'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv-export-lb.library.cornell.edu/abs/1810.07462
month: '11'
oa: 1
oa_version: Preprint
page: 8007-8026
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Halfway to Rota’s basis conjecture
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 2020
year: '2020'
...
---
_id: '9577'
abstract:
- lang: eng
  text: An n-vertex graph is called C-Ramsey if it has no clique or independent set
    of size Clogn⁠. All known constructions of Ramsey graphs involve randomness in
    an essential way, and there is an ongoing line of research towards showing that
    in fact all Ramsey graphs must obey certain “richness” properties characteristic
    of random graphs. Motivated by an old problem of Erd̋s and McKay, recently Narayanan,
    Sahasrabudhe, and Tomon conjectured that for any fixed C, every n-vertex C-Ramsey
    graph induces subgraphs of Θ(n2) different sizes. In this paper we prove this
    conjecture.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
- first_name: Benny
  full_name: Sudakov, Benny
  last_name: Sudakov
citation:
  ama: Kwan MA, Sudakov B. Ramsey graphs induce subgraphs of quadratically many sizes.
    <i>International Mathematics Research Notices</i>. 2020;2020(6):1621–1638. doi:<a
    href="https://doi.org/10.1093/imrn/rny064">10.1093/imrn/rny064</a>
  apa: Kwan, M. A., &#38; Sudakov, B. (2020). Ramsey graphs induce subgraphs of quadratically
    many sizes. <i>International Mathematics Research Notices</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/imrn/rny064">https://doi.org/10.1093/imrn/rny064</a>
  chicago: Kwan, Matthew Alan, and Benny Sudakov. “Ramsey Graphs Induce Subgraphs
    of Quadratically Many Sizes.” <i>International Mathematics Research Notices</i>.
    Oxford University Press, 2020. <a href="https://doi.org/10.1093/imrn/rny064">https://doi.org/10.1093/imrn/rny064</a>.
  ieee: M. A. Kwan and B. Sudakov, “Ramsey graphs induce subgraphs of quadratically
    many sizes,” <i>International Mathematics Research Notices</i>, vol. 2020, no.
    6. Oxford University Press, pp. 1621–1638, 2020.
  ista: Kwan MA, Sudakov B. 2020. Ramsey graphs induce subgraphs of quadratically
    many sizes. International Mathematics Research Notices. 2020(6), 1621–1638.
  mla: Kwan, Matthew Alan, and Benny Sudakov. “Ramsey Graphs Induce Subgraphs of Quadratically
    Many Sizes.” <i>International Mathematics Research Notices</i>, vol. 2020, no.
    6, Oxford University Press, 2020, pp. 1621–1638, doi:<a href="https://doi.org/10.1093/imrn/rny064">10.1093/imrn/rny064</a>.
  short: M.A. Kwan, B. Sudakov, International Mathematics Research Notices 2020 (2020)
    1621–1638.
date_created: 2021-06-21T08:30:12Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-02-23T14:01:33Z
day: '01'
doi: 10.1093/imrn/rny064
extern: '1'
external_id:
  arxiv:
  - '1711.02937'
intvolume: '      2020'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1093/imrn/rny064
month: '03'
oa: 1
oa_version: Published Version
page: 1621–1638
publication: International Mathematics Research Notices
publication_identifier:
  eissn:
  - 1687-0247
  issn:
  - 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ramsey graphs induce subgraphs of quadratically many sizes
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 2020
year: '2020'
...
---
_id: '9578'
abstract:
- lang: eng
  text: How long a monotone path can one always find in any edge-ordering of the complete
    graph Kn? This appealing question was first asked by Chvátal and Komlós in 1971,
    and has since attracted the attention of many researchers, inspiring a variety
    of related problems. The prevailing conjecture is that one can always find a monotone
    path of linear length, but until now the best known lower bound was n2/3-o(1).
    In this paper we almost close this gap, proving that any edge-ordering of the
    complete graph contains a monotone path of length n1-o(1).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matija
  full_name: Bucić, Matija
  last_name: Bucić
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
- first_name: Alexey
  full_name: Pokrovskiy, Alexey
  last_name: Pokrovskiy
- first_name: Benny
  full_name: Sudakov, Benny
  last_name: Sudakov
- first_name: Tuan
  full_name: Tran, Tuan
  last_name: Tran
- first_name: Adam Zsolt
  full_name: Wagner, Adam Zsolt
  last_name: Wagner
citation:
  ama: Bucić M, Kwan MA, Pokrovskiy A, Sudakov B, Tran T, Wagner AZ. Nearly-linear
    monotone paths in edge-ordered graphs. <i>Israel Journal of Mathematics</i>. 2020;238(2):663-685.
    doi:<a href="https://doi.org/10.1007/s11856-020-2035-7">10.1007/s11856-020-2035-7</a>
  apa: Bucić, M., Kwan, M. A., Pokrovskiy, A., Sudakov, B., Tran, T., &#38; Wagner,
    A. Z. (2020). Nearly-linear monotone paths in edge-ordered graphs. <i>Israel Journal
    of Mathematics</i>. Springer. <a href="https://doi.org/10.1007/s11856-020-2035-7">https://doi.org/10.1007/s11856-020-2035-7</a>
  chicago: Bucić, Matija, Matthew Alan Kwan, Alexey Pokrovskiy, Benny Sudakov, Tuan
    Tran, and Adam Zsolt Wagner. “Nearly-Linear Monotone Paths in Edge-Ordered Graphs.”
    <i>Israel Journal of Mathematics</i>. Springer, 2020. <a href="https://doi.org/10.1007/s11856-020-2035-7">https://doi.org/10.1007/s11856-020-2035-7</a>.
  ieee: M. Bucić, M. A. Kwan, A. Pokrovskiy, B. Sudakov, T. Tran, and A. Z. Wagner,
    “Nearly-linear monotone paths in edge-ordered graphs,” <i>Israel Journal of Mathematics</i>,
    vol. 238, no. 2. Springer, pp. 663–685, 2020.
  ista: Bucić M, Kwan MA, Pokrovskiy A, Sudakov B, Tran T, Wagner AZ. 2020. Nearly-linear
    monotone paths in edge-ordered graphs. Israel Journal of Mathematics. 238(2),
    663–685.
  mla: Bucić, Matija, et al. “Nearly-Linear Monotone Paths in Edge-Ordered Graphs.”
    <i>Israel Journal of Mathematics</i>, vol. 238, no. 2, Springer, 2020, pp. 663–85,
    doi:<a href="https://doi.org/10.1007/s11856-020-2035-7">10.1007/s11856-020-2035-7</a>.
  short: M. Bucić, M.A. Kwan, A. Pokrovskiy, B. Sudakov, T. Tran, A.Z. Wagner, Israel
    Journal of Mathematics 238 (2020) 663–685.
date_created: 2021-06-21T13:24:35Z
date_published: 2020-07-01T00:00:00Z
date_updated: 2023-02-23T14:01:35Z
day: '01'
doi: 10.1007/s11856-020-2035-7
extern: '1'
external_id:
  arxiv:
  - '1809.01468'
intvolume: '       238'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1809.01468
month: '07'
oa: 1
oa_version: Preprint
page: 663-685
publication: Israel Journal of Mathematics
publication_identifier:
  eissn:
  - 1565-8511
  issn:
  - 0021-2172
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nearly-linear monotone paths in edge-ordered graphs
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 238
year: '2020'
...
---
_id: '9581'
abstract:
- lang: eng
  text: "We show that for any  \U0001D45B  divisible by 3, almost all order-  \U0001D45B
    \ Steiner triple systems have a perfect matching (also known as a parallel class
    or resolution class). In fact, we prove a general upper bound on the number of
    perfect matchings in a Steiner triple system and show that almost all Steiner
    triple systems essentially attain this maximum. We accomplish this via a general
    theorem comparing a uniformly random Steiner triple system to the outcome of the
    triangle removal process, which we hope will be useful for other problems. Our
    methods can also be adapted to other types of designs; for example, we sketch
    a proof of the theorem that almost all Latin squares have transversals."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
citation:
  ama: Kwan MA. Almost all Steiner triple systems have perfect matchings. <i>Proceedings
    of the London Mathematical Society</i>. 2020;121(6):1468-1495. doi:<a href="https://doi.org/10.1112/plms.12373">10.1112/plms.12373</a>
  apa: Kwan, M. A. (2020). Almost all Steiner triple systems have perfect matchings.
    <i>Proceedings of the London Mathematical Society</i>. Wiley. <a href="https://doi.org/10.1112/plms.12373">https://doi.org/10.1112/plms.12373</a>
  chicago: Kwan, Matthew Alan. “Almost All Steiner Triple Systems Have Perfect Matchings.”
    <i>Proceedings of the London Mathematical Society</i>. Wiley, 2020. <a href="https://doi.org/10.1112/plms.12373">https://doi.org/10.1112/plms.12373</a>.
  ieee: M. A. Kwan, “Almost all Steiner triple systems have perfect matchings,” <i>Proceedings
    of the London Mathematical Society</i>, vol. 121, no. 6. Wiley, pp. 1468–1495,
    2020.
  ista: Kwan MA. 2020. Almost all Steiner triple systems have perfect matchings. Proceedings
    of the London Mathematical Society. 121(6), 1468–1495.
  mla: Kwan, Matthew Alan. “Almost All Steiner Triple Systems Have Perfect Matchings.”
    <i>Proceedings of the London Mathematical Society</i>, vol. 121, no. 6, Wiley,
    2020, pp. 1468–95, doi:<a href="https://doi.org/10.1112/plms.12373">10.1112/plms.12373</a>.
  short: M.A. Kwan, Proceedings of the London Mathematical Society 121 (2020) 1468–1495.
date_created: 2021-06-22T06:35:16Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-02-23T14:01:43Z
day: '01'
doi: 10.1112/plms.12373
extern: '1'
external_id:
  arxiv:
  - '1611.02246'
intvolume: '       121'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1611.02246
month: '12'
oa: 1
oa_version: Preprint
page: 1468-1495
publication: Proceedings of the London Mathematical Society
publication_identifier:
  eissn:
  - 1460-244X
  issn:
  - 0024-6115
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Almost all Steiner triple systems have perfect matchings
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 121
year: '2020'
...
---
_id: '9582'
abstract:
- lang: eng
  text: The problem of finding dense induced bipartite subgraphs in H-free graphs
    has a long history, and was posed 30 years ago by Erdős, Faudree, Pach and Spencer.
    In this paper, we obtain several results in this direction. First we prove that
    any H-free graph with minimum degree at least d contains an induced bipartite
    subgraph of minimum degree at least cH log d/log log d, thus nearly confirming
    one and proving another conjecture of Esperet, Kang and Thomassé. Complementing
    this result, we further obtain optimal bounds for this problem in the case of
    dense triangle-free graphs, and we also answer a question of Erdœs, Janson, Łuczak
    and Spencer.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
- first_name: Shoham
  full_name: Letzter, Shoham
  last_name: Letzter
- first_name: Benny
  full_name: Sudakov, Benny
  last_name: Sudakov
- first_name: Tuan
  full_name: Tran, Tuan
  last_name: Tran
citation:
  ama: Kwan MA, Letzter S, Sudakov B, Tran T. Dense induced bipartite subgraphs in
    triangle-free graphs. <i>Combinatorica</i>. 2020;40(2):283-305. doi:<a href="https://doi.org/10.1007/s00493-019-4086-0">10.1007/s00493-019-4086-0</a>
  apa: Kwan, M. A., Letzter, S., Sudakov, B., &#38; Tran, T. (2020). Dense induced
    bipartite subgraphs in triangle-free graphs. <i>Combinatorica</i>. Springer. <a
    href="https://doi.org/10.1007/s00493-019-4086-0">https://doi.org/10.1007/s00493-019-4086-0</a>
  chicago: Kwan, Matthew Alan, Shoham Letzter, Benny Sudakov, and Tuan Tran. “Dense
    Induced Bipartite Subgraphs in Triangle-Free Graphs.” <i>Combinatorica</i>. Springer,
    2020. <a href="https://doi.org/10.1007/s00493-019-4086-0">https://doi.org/10.1007/s00493-019-4086-0</a>.
  ieee: M. A. Kwan, S. Letzter, B. Sudakov, and T. Tran, “Dense induced bipartite
    subgraphs in triangle-free graphs,” <i>Combinatorica</i>, vol. 40, no. 2. Springer,
    pp. 283–305, 2020.
  ista: Kwan MA, Letzter S, Sudakov B, Tran T. 2020. Dense induced bipartite subgraphs
    in triangle-free graphs. Combinatorica. 40(2), 283–305.
  mla: Kwan, Matthew Alan, et al. “Dense Induced Bipartite Subgraphs in Triangle-Free
    Graphs.” <i>Combinatorica</i>, vol. 40, no. 2, Springer, 2020, pp. 283–305, doi:<a
    href="https://doi.org/10.1007/s00493-019-4086-0">10.1007/s00493-019-4086-0</a>.
  short: M.A. Kwan, S. Letzter, B. Sudakov, T. Tran, Combinatorica 40 (2020) 283–305.
date_created: 2021-06-22T06:42:26Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2023-02-23T14:01:45Z
day: '01'
doi: 10.1007/s00493-019-4086-0
extern: '1'
external_id:
  arxiv:
  - '1810.12144'
intvolume: '        40'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1810.12144
month: '04'
oa: 1
oa_version: Preprint
page: 283-305
publication: Combinatorica
publication_identifier:
  eissn:
  - 1439-6912
  issn:
  - 0209-9683
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dense induced bipartite subgraphs in triangle-free graphs
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 40
year: '2020'
...
---
_id: '9583'
abstract:
- lang: eng
  text: We show that for any n divisible by 3, almost all order-n Steiner triple systems
    admit a decomposition of almost all their triples into disjoint perfect matchings
    (that is, almost all Steiner triple systems are almost resolvable).
article_number: e39
article_processing_charge: No
article_type: original
author:
- first_name: Asaf
  full_name: Ferber, Asaf
  last_name: Ferber
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
citation:
  ama: Ferber A, Kwan MA. Almost all Steiner triple systems are almost resolvable.
    <i>Forum of Mathematics</i>. 2020;8. doi:<a href="https://doi.org/10.1017/fms.2020.29">10.1017/fms.2020.29</a>
  apa: Ferber, A., &#38; Kwan, M. A. (2020). Almost all Steiner triple systems are
    almost resolvable. <i>Forum of Mathematics</i>. Cambridge University Press. <a
    href="https://doi.org/10.1017/fms.2020.29">https://doi.org/10.1017/fms.2020.29</a>
  chicago: Ferber, Asaf, and Matthew Alan Kwan. “Almost All Steiner Triple Systems
    Are Almost Resolvable.” <i>Forum of Mathematics</i>. Cambridge University Press,
    2020. <a href="https://doi.org/10.1017/fms.2020.29">https://doi.org/10.1017/fms.2020.29</a>.
  ieee: A. Ferber and M. A. Kwan, “Almost all Steiner triple systems are almost resolvable,”
    <i>Forum of Mathematics</i>, vol. 8. Cambridge University Press, 2020.
  ista: Ferber A, Kwan MA. 2020. Almost all Steiner triple systems are almost resolvable.
    Forum of Mathematics. 8, e39.
  mla: Ferber, Asaf, and Matthew Alan Kwan. “Almost All Steiner Triple Systems Are
    Almost Resolvable.” <i>Forum of Mathematics</i>, vol. 8, e39, Cambridge University
    Press, 2020, doi:<a href="https://doi.org/10.1017/fms.2020.29">10.1017/fms.2020.29</a>.
  short: A. Ferber, M.A. Kwan, Forum of Mathematics 8 (2020).
date_created: 2021-06-22T09:12:23Z
date_published: 2020-11-03T00:00:00Z
date_updated: 2023-02-23T14:01:48Z
day: '03'
ddc:
- '510'
doi: 10.1017/fms.2020.29
extern: '1'
external_id:
  pmid:
  - '1907.06744'
file:
- access_level: open_access
  checksum: 5553c596bb4db0f38226a56bee9c87a1
  content_type: application/pdf
  creator: asandaue
  date_created: 2021-06-22T09:23:59Z
  date_updated: 2021-06-22T09:23:59Z
  file_id: '9584'
  file_name: 2020_CambridgeUniversityPress_Ferber.pdf
  file_size: 601516
  relation: main_file
  success: 1
file_date_updated: 2021-06-22T09:23:59Z
has_accepted_license: '1'
intvolume: '         8'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
publication: Forum of Mathematics
publication_identifier:
  eissn:
  - 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Almost all Steiner triple systems are almost resolvable
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: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 8
year: '2020'
...
---
_id: '9630'
abstract:
- lang: eng
  text: Various kinds of data are routinely represented as discrete probability distributions.
    Examples include text documents summarized by histograms of word occurrences and
    images represented as histograms of oriented gradients. Viewing a discrete probability
    distribution as a point in the standard simplex of the appropriate dimension,
    we can understand collections of such objects in geometric and topological terms.  Importantly,
    instead of using the standard Euclidean distance, we look into dissimilarity measures
    with information-theoretic justification, and we develop the theory needed for
    applying topological data analysis in this setting. In doing so, we emphasize
    constructions that enable the usage of existing computational topology software
    in this context.
acknowledgement: This research is partially supported by the Office of Naval Research,
  through grant no. N62909-18-1-2038, and the DFG Collaborative Research Center TRR
  109, ‘Discretization in Geometry and Dynamics’, through grant no. I02979-N35 of
  the Austrian Science Fund (FWF).
article_processing_charge: Yes
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Ziga
  full_name: Virk, Ziga
  id: 2E36B656-F248-11E8-B48F-1D18A9856A87
  last_name: Virk
- first_name: Hubert
  full_name: Wagner, Hubert
  id: 379CA8B8-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
citation:
  ama: Edelsbrunner H, Virk Z, Wagner H. Topological data analysis in information
    space. <i>Journal of Computational Geometry</i>. 2020;11(2):162-182. doi:<a href="https://doi.org/10.20382/jocg.v11i2a7">10.20382/jocg.v11i2a7</a>
  apa: Edelsbrunner, H., Virk, Z., &#38; Wagner, H. (2020). Topological data analysis
    in information space. <i>Journal of Computational Geometry</i>. Carleton University.
    <a href="https://doi.org/10.20382/jocg.v11i2a7">https://doi.org/10.20382/jocg.v11i2a7</a>
  chicago: Edelsbrunner, Herbert, Ziga Virk, and Hubert Wagner. “Topological Data
    Analysis in Information Space.” <i>Journal of Computational Geometry</i>. Carleton
    University, 2020. <a href="https://doi.org/10.20382/jocg.v11i2a7">https://doi.org/10.20382/jocg.v11i2a7</a>.
  ieee: H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information
    space,” <i>Journal of Computational Geometry</i>, vol. 11, no. 2. Carleton University,
    pp. 162–182, 2020.
  ista: Edelsbrunner H, Virk Z, Wagner H. 2020. Topological data analysis in information
    space. Journal of Computational Geometry. 11(2), 162–182.
  mla: Edelsbrunner, Herbert, et al. “Topological Data Analysis in Information Space.”
    <i>Journal of Computational Geometry</i>, vol. 11, no. 2, Carleton University,
    2020, pp. 162–82, doi:<a href="https://doi.org/10.20382/jocg.v11i2a7">10.20382/jocg.v11i2a7</a>.
  short: H. Edelsbrunner, Z. Virk, H. Wagner, Journal of Computational Geometry 11
    (2020) 162–182.
date_created: 2021-07-04T22:01:26Z
date_published: 2020-12-14T00:00:00Z
date_updated: 2021-08-11T12:26:34Z
day: '14'
ddc:
- '510'
- '000'
department:
- _id: HeEd
doi: 10.20382/jocg.v11i2a7
file:
- access_level: open_access
  checksum: f02d0b2b3838e7891a6c417fc34ffdcd
  content_type: application/pdf
  creator: asandaue
  date_created: 2021-08-11T11:55:11Z
  date_updated: 2021-08-11T11:55:11Z
  file_id: '9882'
  file_name: 2020_JournalOfComputationalGeometry_Edelsbrunner.pdf
  file_size: 1449234
  relation: main_file
  success: 1
file_date_updated: 2021-08-11T11:55:11Z
has_accepted_license: '1'
intvolume: '        11'
issue: '2'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 162-182
project:
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
  grant_number: I4887
  name: Discretization in Geometry and Dynamics
publication: Journal of Computational Geometry
publication_identifier:
  eissn:
  - 1920180X
publication_status: published
publisher: Carleton University
quality_controlled: '1'
scopus_import: '1'
status: public
title: Topological data analysis in information space
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 11
year: '2020'
...
