---
_id: '14173'
abstract:
- lang: eng
  text: "Since out-of-distribution generalization is a generally ill-posed problem,
    various proxy targets (e.g., calibration, adversarial robustness, algorithmic
    corruptions, invariance across shifts) were studied across different research
    programs resulting in different recommendations. While sharing the same aspirational
    goal, these approaches have never been tested under the same\r\nexperimental conditions
    on real data. In this paper, we take a unified view of previous work, highlighting
    message discrepancies that we address empirically, and providing recommendations
    on how to measure the robustness of a model and how to improve it. To this end,
    we collect 172 publicly available dataset pairs for training and out-of-distribution
    evaluation of accuracy, calibration error, adversarial attacks, environment invariance,
    and synthetic corruptions. We fine-tune over 31k networks, from nine different
    architectures in the many- and\r\nfew-shot setting. Our findings confirm that
    in- and out-of-distribution accuracies tend to increase jointly, but show that
    their relation is largely dataset-dependent, and in general more nuanced and more
    complex than posited by previous, smaller scale studies."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Florian
  full_name: Wenzel, Florian
  last_name: Wenzel
- first_name: Andrea
  full_name: Dittadi, Andrea
  last_name: Dittadi
- first_name: Peter Vincent
  full_name: Gehler, Peter Vincent
  last_name: Gehler
- first_name: Carl-Johann Simon-Gabriel
  full_name: Carl-Johann Simon-Gabriel, Carl-Johann Simon-Gabriel
  last_name: Carl-Johann Simon-Gabriel
- first_name: Max
  full_name: Horn, Max
  last_name: Horn
- first_name: Dominik
  full_name: Zietlow, Dominik
  last_name: Zietlow
- first_name: David
  full_name: Kernert, David
  last_name: Kernert
- first_name: Chris
  full_name: Russell, Chris
  last_name: Russell
- first_name: Thomas
  full_name: Brox, Thomas
  last_name: Brox
- first_name: Bernt
  full_name: Schiele, Bernt
  last_name: Schiele
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Wenzel F, Dittadi A, Gehler PV, et al. Assaying out-of-distribution generalization
    in transfer learning. In: <i>36th Conference on Neural Information Processing
    Systems</i>. Vol 35. Neural Information Processing Systems Foundation; 2022:7181-7198.'
  apa: 'Wenzel, F., Dittadi, A., Gehler, P. V., Carl-Johann Simon-Gabriel, C.-J. S.-G.,
    Horn, M., Zietlow, D., … Locatello, F. (2022). Assaying out-of-distribution generalization
    in transfer learning. In <i>36th Conference on Neural Information Processing Systems</i>
    (Vol. 35, pp. 7181–7198). New Orleans, LA, United States: Neural Information Processing
    Systems Foundation.'
  chicago: Wenzel, Florian, Andrea Dittadi, Peter Vincent Gehler, Carl-Johann Simon-Gabriel
    Carl-Johann Simon-Gabriel, Max Horn, Dominik Zietlow, David Kernert, et al. “Assaying
    Out-of-Distribution Generalization in Transfer Learning.” In <i>36th Conference
    on Neural Information Processing Systems</i>, 35:7181–98. Neural Information Processing
    Systems Foundation, 2022.
  ieee: F. Wenzel <i>et al.</i>, “Assaying out-of-distribution generalization in transfer
    learning,” in <i>36th Conference on Neural Information Processing Systems</i>,
    New Orleans, LA, United States, 2022, vol. 35, pp. 7181–7198.
  ista: 'Wenzel F, Dittadi A, Gehler PV, Carl-Johann Simon-Gabriel C-JS-G, Horn M,
    Zietlow D, Kernert D, Russell C, Brox T, Schiele B, Schölkopf B, Locatello F.
    2022. Assaying out-of-distribution generalization in transfer learning. 36th Conference
    on Neural Information Processing Systems. NeurIPS: Neural Information Processing
    Systems, Advances in Neural Information Processing Systems, vol. 35, 7181–7198.'
  mla: Wenzel, Florian, et al. “Assaying Out-of-Distribution Generalization in Transfer
    Learning.” <i>36th Conference on Neural Information Processing Systems</i>, vol.
    35, Neural Information Processing Systems Foundation, 2022, pp. 7181–98.
  short: F. Wenzel, A. Dittadi, P.V. Gehler, C.-J.S.-G. Carl-Johann Simon-Gabriel,
    M. Horn, D. Zietlow, D. Kernert, C. Russell, T. Brox, B. Schiele, B. Schölkopf,
    F. Locatello, in:, 36th Conference on Neural Information Processing Systems, Neural
    Information Processing Systems Foundation, 2022, pp. 7181–7198.
conference:
  end_date: 2022-12-09
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2022-11-28
date_created: 2023-08-22T14:01:13Z
date_published: 2022-12-15T00:00:00Z
date_updated: 2023-09-06T10:34:43Z
day: '15'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2207.09239'
intvolume: '        35'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2207.09239
month: '12'
oa: 1
oa_version: Preprint
page: 7181-7198
publication: 36th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9781713871088'
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
scopus_import: '1'
status: public
title: Assaying out-of-distribution generalization in transfer learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2022'
...
---
_id: '14174'
abstract:
- lang: eng
  text: "Building sample-efficient agents that generalize out-of-distribution (OOD)
    in real-world settings remains a fundamental unsolved problem on the path towards
    achieving higher-level cognition. One particularly promising approach is to begin
    with low-dimensional, pretrained representations of our world, which should facilitate
    efficient downstream learning and generalization. By training 240 representations
    and over 10,000 reinforcement learning (RL) policies on a simulated robotic setup,
    we evaluate to what extent different properties of\r\npretrained VAE-based representations
    affect the OOD generalization of downstream agents. We observe that many agents
    are surprisingly robust to realistic distribution shifts, including the challenging
    sim-to-real case. In addition, we find that the generalization performance of
    a simple downstream proxy task reliably predicts the generalization performance
    of our RL agents\r\nunder a wide range of OOD settings. Such proxy tasks can thus
    be used to select pretrained representations that will lead to agents that generalize."
article_processing_charge: No
arxiv: 1
author:
- first_name: Andrea
  full_name: Dittadi, Andrea
  last_name: Dittadi
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Manuel
  full_name: Wüthrich, Manuel
  last_name: Wüthrich
- first_name: Felix
  full_name: Widmaier, Felix
  last_name: Widmaier
- first_name: Peter
  full_name: Gehler, Peter
  last_name: Gehler
- first_name: Ole
  full_name: Winther, Ole
  last_name: Winther
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Olivier
  full_name: Bachem, Olivier
  last_name: Bachem
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
citation:
  ama: 'Dittadi A, Träuble F, Wüthrich M, et al. The role of pretrained representations
    for the OOD generalization of  reinforcement learning agents. In: <i>10th International
    Conference on Learning Representations</i>. ; 2022.'
  apa: Dittadi, A., Träuble, F., Wüthrich, M., Widmaier, F., Gehler, P., Winther,
    O., … Bauer, S. (2022). The role of pretrained representations for the OOD generalization
    of  reinforcement learning agents. In <i>10th International Conference on Learning
    Representations</i>. Virtual.
  chicago: Dittadi, Andrea, Frederik Träuble, Manuel Wüthrich, Felix Widmaier, Peter
    Gehler, Ole Winther, Francesco Locatello, Olivier Bachem, Bernhard Schölkopf,
    and Stefan Bauer. “The Role of Pretrained Representations for the OOD Generalization
    of  Reinforcement Learning Agents.” In <i>10th International Conference on Learning
    Representations</i>, 2022.
  ieee: A. Dittadi <i>et al.</i>, “The role of pretrained representations for the
    OOD generalization of  reinforcement learning agents,” in <i>10th International
    Conference on Learning Representations</i>, Virtual, 2022.
  ista: 'Dittadi A, Träuble F, Wüthrich M, Widmaier F, Gehler P, Winther O, Locatello
    F, Bachem O, Schölkopf B, Bauer S. 2022. The role of pretrained representations
    for the OOD generalization of  reinforcement learning agents. 10th International
    Conference on Learning Representations. ICLR: International Conference on Learning
    Representations.'
  mla: Dittadi, Andrea, et al. “The Role of Pretrained Representations for the OOD
    Generalization of  Reinforcement Learning Agents.” <i>10th International Conference
    on Learning Representations</i>, 2022.
  short: A. Dittadi, F. Träuble, M. Wüthrich, F. Widmaier, P. Gehler, O. Winther,
    F. Locatello, O. Bachem, B. Schölkopf, S. Bauer, in:, 10th International Conference
    on Learning Representations, 2022.
conference:
  end_date: 2022-04-29
  location: Virtual
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2022-04-25
date_created: 2023-08-22T14:02:13Z
date_published: 2022-04-25T00:00:00Z
date_updated: 2023-09-11T09:48:36Z
day: '25'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2107.05686'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2107.05686'
month: '04'
oa: 1
oa_version: Preprint
publication: 10th International Conference on Learning Representations
publication_status: published
quality_controlled: '1'
status: public
title: The role of pretrained representations for the OOD generalization of  reinforcement
  learning agents
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14175'
abstract:
- lang: eng
  text: "Predicting the future trajectory of a moving agent can be easy when the past
    trajectory continues smoothly but is challenging when complex interactions with
    other agents are involved. Recent deep learning approaches for trajectory prediction
    show promising performance and partially attribute this to successful reasoning
    about agent-agent interactions. However, it remains unclear which features such
    black-box models actually learn to use for making predictions. This paper proposes
    a procedure that quantifies the contributions\r\nof different cues to model performance
    based on a variant of Shapley values. Applying this procedure to state-of-the-art
    trajectory prediction methods on standard benchmark datasets shows that they are,
    in fact, unable to reason about interactions. Instead, the past trajectory of
    the target is the only feature used for predicting its future. For a task with
    richer social\r\ninteraction patterns, on the other hand, the tested models do
    pick up such interactions to a certain extent, as quantified by our feature attribution
    method. We discuss the limits of the proposed method and its links to causality."
article_processing_charge: No
arxiv: 1
author:
- first_name: Osama
  full_name: Makansi, Osama
  last_name: Makansi
- first_name: Julius von
  full_name: Kügelgen, Julius von
  last_name: Kügelgen
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Peter
  full_name: Gehler, Peter
  last_name: Gehler
- first_name: Dominik
  full_name: Janzing, Dominik
  last_name: Janzing
- first_name: Thomas
  full_name: Brox, Thomas
  last_name: Brox
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
citation:
  ama: 'Makansi O, Kügelgen J von, Locatello F, et al. You mostly walk alone: Analyzing
    feature attribution in trajectory prediction. In: <i>10th International Conference
    on Learning Representations</i>. ; 2022.'
  apa: 'Makansi, O., Kügelgen, J. von, Locatello, F., Gehler, P., Janzing, D., Brox,
    T., &#38; Schölkopf, B. (2022). You mostly walk alone: Analyzing feature attribution
    in trajectory prediction. In <i>10th International Conference on Learning Representations</i>.
    Virtual.'
  chicago: 'Makansi, Osama, Julius von Kügelgen, Francesco Locatello, Peter Gehler,
    Dominik Janzing, Thomas Brox, and Bernhard Schölkopf. “You Mostly Walk Alone:
    Analyzing Feature Attribution in Trajectory Prediction.” In <i>10th International
    Conference on Learning Representations</i>, 2022.'
  ieee: 'O. Makansi <i>et al.</i>, “You mostly walk alone: Analyzing feature attribution
    in trajectory prediction,” in <i>10th International Conference on Learning Representations</i>,
    Virtual, 2022.'
  ista: 'Makansi O, Kügelgen J von, Locatello F, Gehler P, Janzing D, Brox T, Schölkopf
    B. 2022. You mostly walk alone: Analyzing feature attribution in trajectory prediction.
    10th International Conference on Learning Representations. ICLR: International
    Conference on Learning Representations.'
  mla: 'Makansi, Osama, et al. “You Mostly Walk Alone: Analyzing Feature Attribution
    in Trajectory Prediction.” <i>10th International Conference on Learning Representations</i>,
    2022.'
  short: O. Makansi, J. von Kügelgen, F. Locatello, P. Gehler, D. Janzing, T. Brox,
    B. Schölkopf, in:, 10th International Conference on Learning Representations,
    2022.
conference:
  end_date: 2022-04-29
  location: Virtual
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2022-04-25
date_created: 2023-08-22T14:02:34Z
date_published: 2022-04-25T00:00:00Z
date_updated: 2023-09-11T09:52:20Z
day: '25'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2110.05304'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2110.05304
month: '04'
oa: 1
oa_version: Preprint
publication: 10th International Conference on Learning Representations
publication_status: published
quality_controlled: '1'
status: public
title: 'You mostly walk alone: Analyzing feature attribution in trajectory prediction'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14215'
abstract:
- lang: eng
  text: Geospatial Information Systems are used by researchers and Humanitarian Assistance
    and Disaster Response (HADR) practitioners to support a wide variety of important
    applications. However, collaboration between these actors is difficult due to
    the heterogeneous nature of geospatial data modalities (e.g., multi-spectral images
    of various resolutions, timeseries, weather data) and diversity of tasks (e.g.,
    regression of human activity indicators or detecting forest fires). In this work,
    we present a roadmap towards the construction of a general-purpose neural architecture
    (GPNA) with a geospatial inductive bias, pre-trained on large amounts of unlabelled
    earth observation data in a self-supervised manner. We envision how such a model
    may facilitate cooperation between members of the community. We show preliminary
    results on the first step of the roadmap, where we instantiate an architecture
    that can process a wide variety of geospatial data modalities and demonstrate
    that it can achieve competitive performance with domain-specific architectures
    on tasks relating to the U.N.'s Sustainable Development Goals.
article_processing_charge: No
arxiv: 1
author:
- first_name: Nasim
  full_name: Rahaman, Nasim
  last_name: Rahaman
- first_name: Martin
  full_name: Weiss, Martin
  last_name: Weiss
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Alexandre
  full_name: Lacoste, Alexandre
  last_name: Lacoste
- first_name: Yoshua
  full_name: Bengio, Yoshua
  last_name: Bengio
- first_name: Chris
  full_name: Pal, Chris
  last_name: Pal
- first_name: Li Erran
  full_name: Li, Li Erran
  last_name: Li
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
citation:
  ama: 'Rahaman N, Weiss M, Träuble F, et al. A general purpose neural architecture
    for geospatial systems. In: <i>36th Conference on Neural Information Processing
    Systems</i>.'
  apa: Rahaman, N., Weiss, M., Träuble, F., Locatello, F., Lacoste, A., Bengio, Y.,
    … Schölkopf, B. (n.d.). A general purpose neural architecture for geospatial systems.
    In <i>36th Conference on Neural Information Processing Systems</i>. New Orleans,
    LA, United States.
  chicago: Rahaman, Nasim, Martin Weiss, Frederik Träuble, Francesco Locatello, Alexandre
    Lacoste, Yoshua Bengio, Chris Pal, Li Erran Li, and Bernhard Schölkopf. “A General
    Purpose Neural Architecture for Geospatial Systems.” In <i>36th Conference on
    Neural Information Processing Systems</i>, n.d.
  ieee: N. Rahaman <i>et al.</i>, “A general purpose neural architecture for geospatial
    systems,” in <i>36th Conference on Neural Information Processing Systems</i>,
    New Orleans, LA, United States.
  ista: 'Rahaman N, Weiss M, Träuble F, Locatello F, Lacoste A, Bengio Y, Pal C, Li
    LE, Schölkopf B. A general purpose neural architecture for geospatial systems.
    36th Conference on Neural Information Processing Systems. NeurIPS: Neural Information
    Processing Systems.'
  mla: Rahaman, Nasim, et al. “A General Purpose Neural Architecture for Geospatial
    Systems.” <i>36th Conference on Neural Information Processing Systems</i>.
  short: N. Rahaman, M. Weiss, F. Träuble, F. Locatello, A. Lacoste, Y. Bengio, C.
    Pal, L.E. Li, B. Schölkopf, in:, 36th Conference on Neural Information Processing
    Systems, n.d.
conference:
  end_date: 2022-12-09
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2022-11-28
date_created: 2023-08-22T14:21:47Z
date_published: 2022-11-04T00:00:00Z
date_updated: 2023-09-13T09:35:59Z
day: '04'
department:
- _id: FrLo
extern: '1'
external_id:
  arxiv:
  - '2211.02348'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2211.02348
month: '11'
oa: 1
oa_version: Preprint
publication: 36th Conference on Neural Information Processing Systems
publication_status: submitted
quality_controlled: '1'
status: public
title: A general purpose neural architecture for geospatial systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14216'
abstract:
- lang: eng
  text: CLIP proved that aligning visual and language spaces is key to solving many
    vision tasks without explicit training, but required to train image and text encoders
    from scratch on a huge dataset. LiT improved this by only training the text encoder
    and using a pre-trained vision network. In this paper, we show that a common space
    can be created without any training at all, using single-domain encoders (trained
    with or without supervision) and a much smaller amount of image-text pairs. Furthermore,
    our model has unique properties. Most notably, deploying a new version with updated
    training samples can be done in a matter of seconds. Additionally, the representations
    in the common space are easily interpretable as every dimension corresponds to
    the similarity of the input to a unique entry in the multimodal dataset. Experiments
    on standard zero-shot visual benchmarks demonstrate the typical transfer ability
    of image-text models. Overall, our method represents a simple yet surprisingly
    strong baseline for foundation multi-modal models, raising important questions
    on their data efficiency and on the role of retrieval in machine learning.
article_number: '2210.01738'
article_processing_charge: No
arxiv: 1
author:
- first_name: Antonio
  full_name: Norelli, Antonio
  last_name: Norelli
- first_name: Marco
  full_name: Fumero, Marco
  last_name: Fumero
- first_name: Valentino
  full_name: Maiorca, Valentino
  last_name: Maiorca
- first_name: Luca
  full_name: Moschella, Luca
  last_name: Moschella
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Norelli A, Fumero M, Maiorca V, Moschella L, Rodolà E, Locatello F. ASIF:
    Coupled data turns unimodal models to multimodal without training. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2210.01738">10.48550/arXiv.2210.01738</a>'
  apa: 'Norelli, A., Fumero, M., Maiorca, V., Moschella, L., Rodolà, E., &#38; Locatello,
    F. (n.d.). ASIF: Coupled data turns unimodal models to multimodal without training.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2210.01738">https://doi.org/10.48550/arXiv.2210.01738</a>'
  chicago: 'Norelli, Antonio, Marco Fumero, Valentino Maiorca, Luca Moschella, Emanuele
    Rodolà, and Francesco Locatello. “ASIF: Coupled Data Turns Unimodal Models to
    Multimodal without Training.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2210.01738">https://doi.org/10.48550/arXiv.2210.01738</a>.'
  ieee: 'A. Norelli, M. Fumero, V. Maiorca, L. Moschella, E. Rodolà, and F. Locatello,
    “ASIF: Coupled data turns unimodal models to multimodal without training,” <i>arXiv</i>.
    .'
  ista: 'Norelli A, Fumero M, Maiorca V, Moschella L, Rodolà E, Locatello F. ASIF:
    Coupled data turns unimodal models to multimodal without training. arXiv, 2210.01738.'
  mla: 'Norelli, Antonio, et al. “ASIF: Coupled Data Turns Unimodal Models to Multimodal
    without Training.” <i>ArXiv</i>, 2210.01738, doi:<a href="https://doi.org/10.48550/arXiv.2210.01738">10.48550/arXiv.2210.01738</a>.'
  short: A. Norelli, M. Fumero, V. Maiorca, L. Moschella, E. Rodolà, F. Locatello,
    ArXiv (n.d.).
date_created: 2023-08-22T14:22:04Z
date_published: 2022-10-04T00:00:00Z
date_updated: 2024-02-12T09:57:14Z
day: '04'
department:
- _id: FrLo
doi: 10.48550/arXiv.2210.01738
external_id:
  arxiv:
  - '2210.01738'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.01738
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: 'ASIF: Coupled data turns unimodal models to multimodal without training'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14220'
abstract:
- lang: eng
  text: Although reinforcement learning has seen remarkable progress over the last
    years, solving robust dexterous object-manipulation tasks in multi-object settings
    remains a challenge. In this paper, we focus on models that can learn manipulation
    tasks in fixed multi-object settings and extrapolate this skill zero-shot without
    any drop in performance when the number of objects changes. We consider the generic
    task of bringing a specific cube out of a set to a goal position. We find that
    previous approaches, which primarily leverage attention and graph neural network-based
    architectures, do not generalize their skills when the number of input objects
    changes while scaling as K2. We propose an alternative plug-and-play module based
    on relational inductive biases to overcome these limitations. Besides exceeding
    performances in their training environment, we show that our approach, which scales
    linearly in K, allows agents to extrapolate and generalize zero-shot to any new
    object number.
article_number: '2201.13388'
article_processing_charge: No
arxiv: 1
author:
- first_name: Davide
  full_name: Mambelli, Davide
  last_name: Mambelli
- first_name: Frederik
  full_name: Träuble, Frederik
  last_name: Träuble
- first_name: Stefan
  full_name: Bauer, Stefan
  last_name: Bauer
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: Mambelli D, Träuble F, Bauer S, Schölkopf B, Locatello F. Compositional multi-object
    reinforcement learning with linear relation networks. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2201.13388">10.48550/arXiv.2201.13388</a>
  apa: Mambelli, D., Träuble, F., Bauer, S., Schölkopf, B., &#38; Locatello, F. (n.d.).
    Compositional multi-object reinforcement learning with linear relation networks.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2201.13388">https://doi.org/10.48550/arXiv.2201.13388</a>
  chicago: Mambelli, Davide, Frederik Träuble, Stefan Bauer, Bernhard Schölkopf, and
    Francesco Locatello. “Compositional Multi-Object Reinforcement Learning with Linear
    Relation Networks.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2201.13388">https://doi.org/10.48550/arXiv.2201.13388</a>.
  ieee: D. Mambelli, F. Träuble, S. Bauer, B. Schölkopf, and F. Locatello, “Compositional
    multi-object reinforcement learning with linear relation networks,” <i>arXiv</i>.
    .
  ista: Mambelli D, Träuble F, Bauer S, Schölkopf B, Locatello F. Compositional multi-object
    reinforcement learning with linear relation networks. arXiv, 2201.13388.
  mla: Mambelli, Davide, et al. “Compositional Multi-Object Reinforcement Learning
    with Linear Relation Networks.” <i>ArXiv</i>, 2201.13388, doi:<a href="https://doi.org/10.48550/arXiv.2201.13388">10.48550/arXiv.2201.13388</a>.
  short: D. Mambelli, F. Träuble, S. Bauer, B. Schölkopf, F. Locatello, ArXiv (n.d.).
date_created: 2023-08-22T14:23:16Z
date_published: 2022-01-31T00:00:00Z
date_updated: 2023-09-11T11:49:40Z
day: '31'
department:
- _id: FrLo
doi: 10.48550/arXiv.2201.13388
extern: '1'
external_id:
  arxiv:
  - '2201.13388'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2201.13388
month: '01'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Compositional multi-object reinforcement learning with linear relation networks
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14381'
abstract:
- lang: eng
  text: Expander graphs (sparse but highly connected graphs) have, since their inception,
    been the source of deep links between Mathematics and Computer Science as well
    as applications to other areas. In recent years, a fascinating theory of high-dimensional
    expanders has begun to emerge, which is still in a formative stage but has nonetheless
    already lead to a number of striking results. Unlike for graphs, in higher dimensions
    there is a rich array of non-equivalent notions of expansion (coboundary expansion,
    cosystolic expansion, topological expansion, spectral expansion, etc.), with differents
    strengths and applications. In this talk, we will survey this landscape of high-dimensional
    expansion, with a focus on two main results. First, we will present Gromov’s Topological
    Overlap Theorem, which asserts that coboundary expansion (a quantitative version
    of vanishing mod 2 cohomology) implies topological expansion (roughly, the property
    that for every map from a simplicial complex to a manifold of the same dimension,
    the images of a positive fraction of the simplices have a point in common). Second,
    we will outline a construction of bounded degree 2-dimensional topological expanders,
    due to Kaufman, Kazhdan, and Lubotzky.
article_processing_charge: No
article_type: original
author:
- first_name: Uli
  full_name: Wagner, Uli
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: Wagner U. High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky,
    and others). <i>Bulletin de la Societe Mathematique de France</i>. 2022;438:281-294.
    doi:<a href="https://doi.org/10.24033/ast.1188">10.24033/ast.1188</a>
  apa: Wagner, U. (2022). High-dimensional expanders (after Gromov, Kaufman, Kazhdan,
    Lubotzky, and others). <i>Bulletin de La Societe Mathematique de France</i>. Societe
    Mathematique de France. <a href="https://doi.org/10.24033/ast.1188">https://doi.org/10.24033/ast.1188</a>
  chicago: Wagner, Uli. “High-Dimensional Expanders (after Gromov, Kaufman, Kazhdan,
    Lubotzky, and Others).” <i>Bulletin de La Societe Mathematique de France</i>.
    Societe Mathematique de France, 2022. <a href="https://doi.org/10.24033/ast.1188">https://doi.org/10.24033/ast.1188</a>.
  ieee: U. Wagner, “High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky,
    and others),” <i>Bulletin de la Societe Mathematique de France</i>, vol. 438.
    Societe Mathematique de France, pp. 281–294, 2022.
  ista: Wagner U. 2022. High-dimensional expanders (after Gromov, Kaufman, Kazhdan,
    Lubotzky, and others). Bulletin de la Societe Mathematique de France. 438, 281–294.
  mla: Wagner, Uli. “High-Dimensional Expanders (after Gromov, Kaufman, Kazhdan, Lubotzky,
    and Others).” <i>Bulletin de La Societe Mathematique de France</i>, vol. 438,
    Societe Mathematique de France, 2022, pp. 281–94, doi:<a href="https://doi.org/10.24033/ast.1188">10.24033/ast.1188</a>.
  short: U. Wagner, Bulletin de La Societe Mathematique de France 438 (2022) 281–294.
date_created: 2023-10-01T22:01:14Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2023-10-03T08:04:03Z
day: '01'
department:
- _id: UlWa
doi: 10.24033/ast.1188
intvolume: '       438'
language:
- iso: eng
month: '01'
oa_version: None
page: 281-294
publication: Bulletin de la Societe Mathematique de France
publication_identifier:
  eissn:
  - 2102-622X
  issn:
  - 0037-9484
publication_status: published
publisher: Societe Mathematique de France
quality_controlled: '1'
scopus_import: '1'
status: public
title: High-dimensional expanders (after Gromov, Kaufman, Kazhdan, Lubotzky, and others)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 438
year: '2022'
...
---
_id: '14437'
abstract:
- lang: eng
  text: Future LEDs could be based on lead halide perovskites. A breakthrough in preparing
    device-compatible solids composed of nanoscale perovskite crystals overcomes a
    long-standing hurdle in making blue perovskite LEDs.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Hendrik
  full_name: Utzat, Hendrik
  last_name: Utzat
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
citation:
  ama: Utzat H, Ibáñez M. Molecular engineering enables bright blue LEDs. <i>Nature</i>.
    2022;612(7941):638-639. doi:<a href="https://doi.org/10.1038/d41586-022-04447-0">10.1038/d41586-022-04447-0</a>
  apa: Utzat, H., &#38; Ibáñez, M. (2022). Molecular engineering enables bright blue
    LEDs. <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/d41586-022-04447-0">https://doi.org/10.1038/d41586-022-04447-0</a>
  chicago: Utzat, Hendrik, and Maria Ibáñez. “Molecular Engineering Enables Bright
    Blue LEDs.” <i>Nature</i>. Springer Nature, 2022. <a href="https://doi.org/10.1038/d41586-022-04447-0">https://doi.org/10.1038/d41586-022-04447-0</a>.
  ieee: H. Utzat and M. Ibáñez, “Molecular engineering enables bright blue LEDs,”
    <i>Nature</i>, vol. 612, no. 7941. Springer Nature, pp. 638–639, 2022.
  ista: Utzat H, Ibáñez M. 2022. Molecular engineering enables bright blue LEDs. Nature.
    612(7941), 638–639.
  mla: Utzat, Hendrik, and Maria Ibáñez. “Molecular Engineering Enables Bright Blue
    LEDs.” <i>Nature</i>, vol. 612, no. 7941, Springer Nature, 2022, pp. 638–39, doi:<a
    href="https://doi.org/10.1038/d41586-022-04447-0">10.1038/d41586-022-04447-0</a>.
  short: H. Utzat, M. Ibáñez, Nature 612 (2022) 638–639.
date_created: 2023-10-17T11:14:43Z
date_published: 2022-12-21T00:00:00Z
date_updated: 2023-10-18T06:26:30Z
day: '21'
department:
- _id: MaIb
doi: 10.1038/d41586-022-04447-0
external_id:
  pmid:
  - '36543947'
intvolume: '       612'
issue: '7941'
keyword:
- Multidisciplinary
language:
- iso: eng
month: '12'
oa_version: None
page: 638-639
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Molecular engineering enables bright blue LEDs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 612
year: '2022'
...
---
_id: '14520'
abstract:
- lang: eng
  text: 'This dataset comprises all data shown in the figures of the submitted article
    "Compact vacuum gap transmon qubits: Selective and sensitive probes for superconductor
    surface losses" at arxiv.org/abs/2206.14104. Additional raw data are available
    from the corresponding author on reasonable request.'
article_processing_charge: No
author:
- first_name: Martin
  full_name: Zemlicka, Martin
  id: 2DCF8DE6-F248-11E8-B48F-1D18A9856A87
  last_name: Zemlicka
- first_name: Elena
  full_name: Redchenko, Elena
  id: 2C21D6E8-F248-11E8-B48F-1D18A9856A87
  last_name: Redchenko
- first_name: Matilda
  full_name: Peruzzo, Matilda
  id: 3F920B30-F248-11E8-B48F-1D18A9856A87
  last_name: Peruzzo
  orcid: 0000-0002-3415-4628
- first_name: Farid
  full_name: Hassani, Farid
  id: 2AED110C-F248-11E8-B48F-1D18A9856A87
  last_name: Hassani
  orcid: 0000-0001-6937-5773
- first_name: Andrea
  full_name: Trioni, Andrea
  id: 42F71B44-F248-11E8-B48F-1D18A9856A87
  last_name: Trioni
- first_name: Shabir
  full_name: Barzanjeh, Shabir
  id: 2D25E1F6-F248-11E8-B48F-1D18A9856A87
  last_name: Barzanjeh
  orcid: 0000-0003-0415-1423
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: 'Zemlicka M, Redchenko E, Peruzzo M, et al. Compact vacuum gap transmon qubits:
    Selective and sensitive probes for superconductor surface losses. 2022. doi:<a
    href="https://doi.org/10.5281/ZENODO.8408897">10.5281/ZENODO.8408897</a>'
  apa: 'Zemlicka, M., Redchenko, E., Peruzzo, M., Hassani, F., Trioni, A., Barzanjeh,
    S., &#38; Fink, J. M. (2022). Compact vacuum gap transmon qubits: Selective and
    sensitive probes for superconductor surface losses. Zenodo. <a href="https://doi.org/10.5281/ZENODO.8408897">https://doi.org/10.5281/ZENODO.8408897</a>'
  chicago: 'Zemlicka, Martin, Elena Redchenko, Matilda Peruzzo, Farid Hassani, Andrea
    Trioni, Shabir Barzanjeh, and Johannes M Fink. “Compact Vacuum Gap Transmon Qubits:
    Selective and Sensitive Probes for Superconductor Surface Losses.” Zenodo, 2022.
    <a href="https://doi.org/10.5281/ZENODO.8408897">https://doi.org/10.5281/ZENODO.8408897</a>.'
  ieee: 'M. Zemlicka <i>et al.</i>, “Compact vacuum gap transmon qubits: Selective
    and sensitive probes for superconductor surface losses.” Zenodo, 2022.'
  ista: 'Zemlicka M, Redchenko E, Peruzzo M, Hassani F, Trioni A, Barzanjeh S, Fink
    JM. 2022. Compact vacuum gap transmon qubits: Selective and sensitive probes for
    superconductor surface losses, Zenodo, <a href="https://doi.org/10.5281/ZENODO.8408897">10.5281/ZENODO.8408897</a>.'
  mla: 'Zemlicka, Martin, et al. <i>Compact Vacuum Gap Transmon Qubits: Selective
    and Sensitive Probes for Superconductor Surface Losses</i>. Zenodo, 2022, doi:<a
    href="https://doi.org/10.5281/ZENODO.8408897">10.5281/ZENODO.8408897</a>.'
  short: M. Zemlicka, E. Redchenko, M. Peruzzo, F. Hassani, A. Trioni, S. Barzanjeh,
    J.M. Fink, (2022).
date_created: 2023-11-13T08:09:10Z
date_published: 2022-06-28T00:00:00Z
date_updated: 2024-09-10T12:23:57Z
day: '28'
ddc:
- '530'
department:
- _id: JoFi
doi: 10.5281/ZENODO.8408897
has_accepted_license: '1'
license: https://creativecommons.org/publicdomain/zero/1.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.5281/ZENODO.8408897
month: '06'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
  record:
  - id: '14517'
    relation: used_in_publication
    status: public
status: public
title: 'Compact vacuum gap transmon qubits: Selective and sensitive probes for superconductor
  surface losses'
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_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '14597'
abstract:
- lang: eng
  text: "Phase-field models such as the Allen-Cahn equation may give rise to the formation
    and evolution of geometric shapes, a phenomenon that may be analyzed rigorously
    in suitable scaling regimes. In its sharp-interface limit, the vectorial Allen-Cahn
    equation with a potential with N≥3 distinct minima has been conjectured to describe
    the evolution of branched interfaces by multiphase mean curvature flow.\r\nIn
    the present work, we give a rigorous proof for this statement in two and three
    ambient dimensions and for a suitable class of potentials: As long as a strong
    solution to multiphase mean curvature flow exists, solutions to the vectorial
    Allen-Cahn equation with well-prepared initial data converge towards multiphase
    mean curvature flow in the limit of vanishing interface width parameter ε↘0. We
    even establish the rate of convergence O(ε1/2).\r\nOur approach is based on the
    gradient flow structure of the Allen-Cahn equation and its limiting motion: Building
    on the recent concept of \"gradient flow calibrations\" for multiphase mean curvature
    flow, we introduce a notion of relative entropy for the vectorial Allen-Cahn equation
    with multi-well potential. This enables us to overcome the limitations of other
    approaches, e.g. avoiding the need for a stability analysis of the Allen-Cahn
    operator or additional convergence hypotheses for the energy at positive times."
article_processing_charge: No
arxiv: 1
author:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
- first_name: Alice
  full_name: Marveggio, Alice
  id: 25647992-AA84-11E9-9D75-8427E6697425
  last_name: Marveggio
citation:
  ama: Fischer JL, Marveggio A. Quantitative convergence of the vectorial Allen-Cahn
    equation towards multiphase mean curvature flow. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2203.17143">10.48550/ARXIV.2203.17143</a>
  apa: Fischer, J. L., &#38; Marveggio, A. (n.d.). Quantitative convergence of the
    vectorial Allen-Cahn equation towards multiphase mean curvature flow. <i>arXiv</i>.
    <a href="https://doi.org/10.48550/ARXIV.2203.17143">https://doi.org/10.48550/ARXIV.2203.17143</a>
  chicago: Fischer, Julian L, and Alice Marveggio. “Quantitative Convergence of the
    Vectorial Allen-Cahn Equation towards Multiphase Mean Curvature Flow.” <i>ArXiv</i>,
    n.d. <a href="https://doi.org/10.48550/ARXIV.2203.17143">https://doi.org/10.48550/ARXIV.2203.17143</a>.
  ieee: J. L. Fischer and A. Marveggio, “Quantitative convergence of the vectorial
    Allen-Cahn equation towards multiphase mean curvature flow,” <i>arXiv</i>. .
  ista: Fischer JL, Marveggio A. Quantitative convergence of the vectorial Allen-Cahn
    equation towards multiphase mean curvature flow. arXiv, <a href="https://doi.org/10.48550/ARXIV.2203.17143">10.48550/ARXIV.2203.17143</a>.
  mla: Fischer, Julian L., and Alice Marveggio. “Quantitative Convergence of the Vectorial
    Allen-Cahn Equation towards Multiphase Mean Curvature Flow.” <i>ArXiv</i>, doi:<a
    href="https://doi.org/10.48550/ARXIV.2203.17143">10.48550/ARXIV.2203.17143</a>.
  short: J.L. Fischer, A. Marveggio, ArXiv (n.d.).
date_created: 2023-11-23T09:30:02Z
date_published: 2022-03-31T00:00:00Z
date_updated: 2023-11-30T13:25:02Z
day: '31'
department:
- _id: JuFi
doi: 10.48550/ARXIV.2203.17143
ec_funded: 1
external_id:
  arxiv:
  - '2203.17143'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2203.17143
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '14587'
    relation: dissertation_contains
    status: public
status: public
title: Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase
  mean curvature flow
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '14600'
abstract:
- lang: eng
  text: We study the problem of learning controllers for discrete-time non-linear
    stochastic dynamical systems with formal reach-avoid guarantees. This work presents
    the first method for providing formal reach-avoid guarantees, which combine and
    generalize stability and safety guarantees, with a tolerable probability threshold
    $p\in[0,1]$ over the infinite time horizon. Our method leverages advances in machine
    learning literature and it represents formal certificates as neural networks.
    In particular, we learn a certificate in the form of a reach-avoid supermartingale
    (RASM), a novel notion that we introduce in this work. Our RASMs provide reachability
    and avoidance guarantees by imposing constraints on what can be viewed as a stochastic
    extension of level sets of Lyapunov functions for deterministic systems. Our approach
    solves several important problems -- it can be used to learn a control policy
    from scratch, to verify a reach-avoid specification for a fixed control policy,
    or to fine-tune a pre-trained policy if it does not satisfy the reach-avoid specification.
    We validate our approach on $3$ stochastic non-linear reinforcement learning tasks.
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- first_name: Mathias
  full_name: Lechner, Mathias
  id: 3DC22916-F248-11E8-B48F-1D18A9856A87
  last_name: Lechner
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
    for stochastic systems with reach-avoid guarantees. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2210.05308">10.48550/ARXIV.2210.05308</a>
  apa: Zikelic, D., Lechner, M., Henzinger, T. A., &#38; Chatterjee, K. (n.d.). Learning
    control policies for stochastic systems with reach-avoid guarantees. <i>arXiv</i>.
    <a href="https://doi.org/10.48550/ARXIV.2210.05308">https://doi.org/10.48550/ARXIV.2210.05308</a>
  chicago: Zikelic, Dorde, Mathias Lechner, Thomas A Henzinger, and Krishnendu Chatterjee.
    “Learning Control Policies for Stochastic Systems with Reach-Avoid Guarantees.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2210.05308">https://doi.org/10.48550/ARXIV.2210.05308</a>.
  ieee: D. Zikelic, M. Lechner, T. A. Henzinger, and K. Chatterjee, “Learning control
    policies for stochastic systems with reach-avoid guarantees,” <i>arXiv</i>. .
  ista: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
    for stochastic systems with reach-avoid guarantees. arXiv, <a href="https://doi.org/10.48550/ARXIV.2210.05308">10.48550/ARXIV.2210.05308</a>.
  mla: Zikelic, Dorde, et al. “Learning Control Policies for Stochastic Systems with
    Reach-Avoid Guarantees.” <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/ARXIV.2210.05308">10.48550/ARXIV.2210.05308</a>.
  short: D. Zikelic, M. Lechner, T.A. Henzinger, K. Chatterjee, ArXiv (n.d.).
date_created: 2023-11-24T13:10:09Z
date_published: 2022-11-29T00:00:00Z
date_updated: 2025-07-14T09:10:02Z
day: '29'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/ARXIV.2210.05308
ec_funded: 1
external_id:
  arxiv:
  - '2210.05308'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2210.05308
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '14539'
    relation: dissertation_contains
    status: public
  - id: '14830'
    relation: later_version
    status: public
status: public
title: Learning control policies for stochastic systems with reach-avoid guarantees
tmp:
  image: /images/cc_by_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
  name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
    BY-SA 4.0)
  short: CC BY-SA (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '14601'
abstract:
- lang: eng
  text: "In this work, we address the problem of learning provably stable neural\r\nnetwork
    policies for stochastic control systems. While recent work has\r\ndemonstrated
    the feasibility of certifying given policies using martingale\r\ntheory, the problem
    of how to learn such policies is little explored. Here, we\r\nstudy the effectiveness
    of jointly learning a policy together with a martingale\r\ncertificate that proves
    its stability using a single learning algorithm. We\r\nobserve that the joint
    optimization problem becomes easily stuck in local\r\nminima when starting from
    a randomly initialized policy. Our results suggest\r\nthat some form of pre-training
    of the policy is required for the joint\r\noptimization to repair and verify the
    policy successfully."
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- first_name: Mathias
  full_name: Lechner, Mathias
  id: 3DC22916-F248-11E8-B48F-1D18A9856A87
  last_name: Lechner
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- 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: Zikelic D, Lechner M, Chatterjee K, Henzinger TA. Learning stabilizing policies
    in stochastic control systems. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2205.11991">10.48550/arXiv.2205.11991</a>
  apa: Zikelic, D., Lechner, M., Chatterjee, K., &#38; Henzinger, T. A. (n.d.). Learning
    stabilizing policies in stochastic control systems. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2205.11991">https://doi.org/10.48550/arXiv.2205.11991</a>
  chicago: Zikelic, Dorde, Mathias Lechner, Krishnendu Chatterjee, and Thomas A Henzinger.
    “Learning Stabilizing Policies in Stochastic Control Systems.” <i>ArXiv</i>, n.d.
    <a href="https://doi.org/10.48550/arXiv.2205.11991">https://doi.org/10.48550/arXiv.2205.11991</a>.
  ieee: D. Zikelic, M. Lechner, K. Chatterjee, and T. A. Henzinger, “Learning stabilizing
    policies in stochastic control systems,” <i>arXiv</i>. .
  ista: Zikelic D, Lechner M, Chatterjee K, Henzinger TA. Learning stabilizing policies
    in stochastic control systems. arXiv, <a href="https://doi.org/10.48550/arXiv.2205.11991">10.48550/arXiv.2205.11991</a>.
  mla: Zikelic, Dorde, et al. “Learning Stabilizing Policies in Stochastic Control
    Systems.” <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/arXiv.2205.11991">10.48550/arXiv.2205.11991</a>.
  short: D. Zikelic, M. Lechner, K. Chatterjee, T.A. Henzinger, ArXiv (n.d.).
date_created: 2023-11-24T13:22:30Z
date_published: 2022-05-24T00:00:00Z
date_updated: 2025-07-14T09:10:00Z
day: '24'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/arXiv.2205.11991
ec_funded: 1
external_id:
  arxiv:
  - '2205.11991'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2205.11991
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '14539'
    relation: dissertation_contains
    status: public
status: public
title: Learning stabilizing policies in stochastic control systems
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '7577'
abstract:
- lang: eng
  text: Weak convergence of inertial iterative method for solving variational inequalities
    is the focus of this paper. The cost function is assumed to be non-Lipschitz and
    monotone. We propose a projection-type method with inertial terms and give weak
    convergence analysis under appropriate conditions. Some test results are performed
    and compared with relevant methods in the literature to show the efficiency and
    advantages given by our proposed methods.
acknowledgement: The project of the first author has received funding from the European
  Research Council (ERC) under the European Union's Seventh Framework Program (FP7
  - 2007-2013) (Grant agreement No. 616160).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Olaniyi S.
  full_name: Iyiola, Olaniyi S.
  last_name: Iyiola
citation:
  ama: Shehu Y, Iyiola OS. Weak convergence for variational inequalities with inertial-type
    method. <i>Applicable Analysis</i>. 2022;101(1):192-216. doi:<a href="https://doi.org/10.1080/00036811.2020.1736287">10.1080/00036811.2020.1736287</a>
  apa: Shehu, Y., &#38; Iyiola, O. S. (2022). Weak convergence for variational inequalities
    with inertial-type method. <i>Applicable Analysis</i>. Taylor &#38; Francis. <a
    href="https://doi.org/10.1080/00036811.2020.1736287">https://doi.org/10.1080/00036811.2020.1736287</a>
  chicago: Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational
    Inequalities with Inertial-Type Method.” <i>Applicable Analysis</i>. Taylor &#38;
    Francis, 2022. <a href="https://doi.org/10.1080/00036811.2020.1736287">https://doi.org/10.1080/00036811.2020.1736287</a>.
  ieee: Y. Shehu and O. S. Iyiola, “Weak convergence for variational inequalities
    with inertial-type method,” <i>Applicable Analysis</i>, vol. 101, no. 1. Taylor
    &#38; Francis, pp. 192–216, 2022.
  ista: Shehu Y, Iyiola OS. 2022. Weak convergence for variational inequalities with
    inertial-type method. Applicable Analysis. 101(1), 192–216.
  mla: Shehu, Yekini, and Olaniyi S. Iyiola. “Weak Convergence for Variational Inequalities
    with Inertial-Type Method.” <i>Applicable Analysis</i>, vol. 101, no. 1, Taylor
    &#38; Francis, 2022, pp. 192–216, doi:<a href="https://doi.org/10.1080/00036811.2020.1736287">10.1080/00036811.2020.1736287</a>.
  short: Y. Shehu, O.S. Iyiola, Applicable Analysis 101 (2022) 192–216.
date_created: 2020-03-09T07:06:52Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2024-03-05T14:01:52Z
day: '01'
ddc:
- '510'
- '515'
- '518'
department:
- _id: VlKo
doi: 10.1080/00036811.2020.1736287
ec_funded: 1
external_id:
  arxiv:
  - '2101.08057'
  isi:
  - '000518364100001'
file:
- access_level: open_access
  checksum: 869efe8cb09505dfa6012f67d20db63d
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-12T10:42:54Z
  date_updated: 2021-03-16T23:30:06Z
  embargo: 2021-03-15
  file_id: '8648'
  file_name: 2020_ApplicAnalysis_Shehu.pdf
  file_size: 4282586
  relation: main_file
file_date_updated: 2021-03-16T23:30:06Z
has_accepted_license: '1'
intvolume: '       101'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 192-216
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Applicable Analysis
publication_identifier:
  eissn:
  - 1563-504X
  issn:
  - 0003-6811
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Weak convergence for variational inequalities with inertial-type method
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 101
year: '2022'
...
---
_id: '7791'
abstract:
- lang: eng
  text: Extending a result of Milena Radnovic and Serge Tabachnikov, we establish
    conditionsfor two different non-symmetric norms to define the same billiard reflection
    law.
acknowledgement: AA was supported by European Research Council (ERC) under the European
  Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 78818
  Alpha). RK was supported by the Federal professorship program Grant 1.456.2016/1.4
  and the Russian Foundation for Basic Research Grants 18-01-00036 and 19-01-00169.
  Open access funding provided by Institute of Science and Technology (IST Austria).
  The authors thank Alexey Balitskiy, Milena Radnović, and Serge Tabachnikov for useful
  discussions.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Arseniy
  full_name: Akopyan, Arseniy
  id: 430D2C90-F248-11E8-B48F-1D18A9856A87
  last_name: Akopyan
  orcid: 0000-0002-2548-617X
- first_name: Roman
  full_name: Karasev, Roman
  last_name: Karasev
citation:
  ama: Akopyan A, Karasev R. When different norms lead to same billiard trajectories?
    <i>European Journal of Mathematics</i>. 2022;8(4):1309-1312. doi:<a href="https://doi.org/10.1007/s40879-020-00405-0">10.1007/s40879-020-00405-0</a>
  apa: Akopyan, A., &#38; Karasev, R. (2022). When different norms lead to same billiard
    trajectories? <i>European Journal of Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s40879-020-00405-0">https://doi.org/10.1007/s40879-020-00405-0</a>
  chicago: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same
    Billiard Trajectories?” <i>European Journal of Mathematics</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s40879-020-00405-0">https://doi.org/10.1007/s40879-020-00405-0</a>.
  ieee: A. Akopyan and R. Karasev, “When different norms lead to same billiard trajectories?,”
    <i>European Journal of Mathematics</i>, vol. 8, no. 4. Springer Nature, pp. 1309–1312,
    2022.
  ista: Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories?
    European Journal of Mathematics. 8(4), 1309–1312.
  mla: Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard
    Trajectories?” <i>European Journal of Mathematics</i>, vol. 8, no. 4, Springer
    Nature, 2022, pp. 1309–12, doi:<a href="https://doi.org/10.1007/s40879-020-00405-0">10.1007/s40879-020-00405-0</a>.
  short: A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.
date_created: 2020-05-03T22:00:48Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2024-02-22T15:58:42Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.1007/s40879-020-00405-0
ec_funded: 1
external_id:
  arxiv:
  - '1912.12685'
file:
- access_level: open_access
  checksum: f53e71fd03744075adcd0b8fc1b8423d
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-04T10:33:42Z
  date_updated: 2020-07-14T12:48:03Z
  file_id: '7796'
  file_name: 2020_EuropMathematics_Akopyan.pdf
  file_size: 263926
  relation: main_file
file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: '         8'
issue: '4'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '12'
oa: 1
oa_version: Published Version
page: 1309 - 1312
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: European Journal of Mathematics
publication_identifier:
  eissn:
  - 2199-6768
  issn:
  - 2199-675X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: When different norms lead to same billiard trajectories?
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2022'
...
---
_id: '8125'
abstract:
- lang: eng
  text: Context, such as behavioral state, is known to modulate memory formation and
    retrieval, but is usually ignored in associative memory models. Here, we propose
    several types of contextual modulation for associative memory networks that greatly
    increase their performance. In these networks, context inactivates specific neurons
    and connections, which modulates the effective connectivity of the network. Memories
    are stored only by the active components, thereby reducing interference from memories
    acquired in other contexts. Such networks exhibit several beneficial characteristics,
    including enhanced memory capacity, high robustness to noise, increased robustness
    to memory overloading, and better memory retention during continual learning.
    Furthermore, memories can be biased to have different relative strengths, or even
    gated on or off, according to contextual cues, providing a candidate model for
    cognitive control of memory and efficient memory search. An external context-encoding
    network can dynamically switch the memory network to a desired state, which we
    liken to experimentally observed contextual signals in prefrontal cortex and hippocampus.
    Overall, our work illustrates the benefits of organizing memory around context,
    and provides an important link between behavioral studies of memory and mechanistic
    details of neural circuits.</jats:p><jats:sec><jats:title>SIGNIFICANCE</jats:title><jats:p>Memory
    is context dependent — both encoding and recall vary in effectiveness and speed
    depending on factors like location and brain state during a task. We apply this
    idea to a simple computational model of associative memory through contextual
    gating of neurons and synaptic connections. Intriguingly, this results in several
    advantages, including vastly enhanced memory capacity, better robustness, and
    flexible memory gating. Our model helps to explain (i) how gating and inhibition
    contribute to memory processes, (ii) how memory access dynamically changes over
    time, and (iii) how context representations, such as those observed in hippocampus
    and prefrontal cortex, may interact with and control memory processes.
article_processing_charge: No
author:
- first_name: William F.
  full_name: Podlaski, William F.
  last_name: Podlaski
  orcid: 0000-0001-6619-7502
- first_name: Everton J.
  full_name: Agnes, Everton J.
  last_name: Agnes
  orcid: 0000-0001-7184-7311
- first_name: Tim P
  full_name: Vogels, Tim P
  id: CB6FF8D2-008F-11EA-8E08-2637E6697425
  last_name: Vogels
  orcid: 0000-0003-3295-6181
citation:
  ama: Podlaski WF, Agnes EJ, Vogels TP. High capacity and dynamic accessibility in
    associative memory networks with context-dependent neuronal and synaptic gating.
    <i>bioRxiv</i>. 2022. doi:<a href="https://doi.org/10.1101/2020.01.08.898528">10.1101/2020.01.08.898528</a>
  apa: Podlaski, W. F., Agnes, E. J., &#38; Vogels, T. P. (2022). High capacity and
    dynamic accessibility in associative memory networks with context-dependent neuronal
    and synaptic gating. <i>bioRxiv</i>. Cold Spring Harbor Laboratory. <a href="https://doi.org/10.1101/2020.01.08.898528">https://doi.org/10.1101/2020.01.08.898528</a>
  chicago: Podlaski, William F., Everton J. Agnes, and Tim P Vogels. “High Capacity
    and Dynamic Accessibility in Associative Memory Networks with Context-Dependent
    Neuronal and Synaptic Gating.” <i>BioRxiv</i>. Cold Spring Harbor Laboratory,
    2022. <a href="https://doi.org/10.1101/2020.01.08.898528">https://doi.org/10.1101/2020.01.08.898528</a>.
  ieee: W. F. Podlaski, E. J. Agnes, and T. P. Vogels, “High capacity and dynamic
    accessibility in associative memory networks with context-dependent neuronal and
    synaptic gating,” <i>bioRxiv</i>. Cold Spring Harbor Laboratory, 2022.
  ista: Podlaski WF, Agnes EJ, Vogels TP. 2022. High capacity and dynamic accessibility
    in associative memory networks with context-dependent neuronal and synaptic gating.
    bioRxiv, <a href="https://doi.org/10.1101/2020.01.08.898528">10.1101/2020.01.08.898528</a>.
  mla: Podlaski, William F., et al. “High Capacity and Dynamic Accessibility in Associative
    Memory Networks with Context-Dependent Neuronal and Synaptic Gating.” <i>BioRxiv</i>,
    Cold Spring Harbor Laboratory, 2022, doi:<a href="https://doi.org/10.1101/2020.01.08.898528">10.1101/2020.01.08.898528</a>.
  short: W.F. Podlaski, E.J. Agnes, T.P. Vogels, BioRxiv (2022).
date_created: 2020-07-16T12:24:28Z
date_published: 2022-12-21T00:00:00Z
date_updated: 2024-03-06T12:03:59Z
day: '21'
department:
- _id: TiVo
doi: 10.1101/2020.01.08.898528
language:
- iso: eng
locked: '1'
main_file_link:
- open_access: '1'
  url: 'https://doi.org/10.1101/2020.01.08.898528 '
month: '12'
oa: 1
oa_version: Preprint
publication: bioRxiv
publication_status: published
publisher: Cold Spring Harbor Laboratory
status: public
title: High capacity and dynamic accessibility in associative memory networks with
  context-dependent neuronal and synaptic gating
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '9199'
abstract:
- lang: eng
  text: "We associate a certain tensor product lattice to any primitive integer lattice
    and ask about its typical shape. These lattices are related to the tangent bundle
    of Grassmannians and their study is motivated by Peyre's programme on \"freeness\"
    for rational points of bounded height on Fano\r\nvarieties."
acknowledgement: The authors are very grateful to Will Sawin for useful remarks about
  this topic. While working on this paper the first two authors were supported by
  EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
- first_name: Florian Alexander
  full_name: Wilsch, Florian Alexander
  id: 560601DA-8D36-11E9-A136-7AC1E5697425
  last_name: Wilsch
  orcid: 0000-0001-7302-8256
citation:
  ama: Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians.
    <i>Algebra &#38; Number Theory</i>. 2022;16(10):2385-2407. doi:<a href="https://doi.org/10.2140/ant.2022.16.2385">10.2140/ant.2022.16.2385</a>
  apa: Browning, T. D., Horesh, T., &#38; Wilsch, F. A. (2022). Equidistribution and
    freeness on Grassmannians. <i>Algebra &#38; Number Theory</i>. Mathematical Sciences
    Publishers. <a href="https://doi.org/10.2140/ant.2022.16.2385">https://doi.org/10.2140/ant.2022.16.2385</a>
  chicago: Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution
    and Freeness on Grassmannians.” <i>Algebra &#38; Number Theory</i>. Mathematical
    Sciences Publishers, 2022. <a href="https://doi.org/10.2140/ant.2022.16.2385">https://doi.org/10.2140/ant.2022.16.2385</a>.
  ieee: T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness
    on Grassmannians,” <i>Algebra &#38; Number Theory</i>, vol. 16, no. 10. Mathematical
    Sciences Publishers, pp. 2385–2407, 2022.
  ista: Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians.
    Algebra &#38; Number Theory. 16(10), 2385–2407.
  mla: Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.”
    <i>Algebra &#38; Number Theory</i>, vol. 16, no. 10, Mathematical Sciences Publishers,
    2022, pp. 2385–407, doi:<a href="https://doi.org/10.2140/ant.2022.16.2385">10.2140/ant.2022.16.2385</a>.
  short: T.D. Browning, T. Horesh, F.A. Wilsch, Algebra &#38; Number Theory 16 (2022)
    2385–2407.
date_created: 2021-02-25T09:56:57Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-08-02T06:46:38Z
day: '01'
department:
- _id: TiBr
doi: 10.2140/ant.2022.16.2385
external_id:
  arxiv:
  - '2102.11552'
  isi:
  - '000961514100004'
intvolume: '        16'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2102.11552
month: '12'
oa: 1
oa_version: Preprint
page: 2385-2407
project:
- _id: 26A8D266-B435-11E9-9278-68D0E5697425
  grant_number: EP-P026710-2
  name: Between rational and integral points
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: Algebra & Number Theory
publication_identifier:
  eissn:
  - 1944-7833
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Equidistribution and freeness on Grassmannians
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 16
year: '2022'
...
---
_id: '9311'
abstract:
- lang: eng
  text: 'Partially observable Markov decision processes (POMDPs) are standard models
    for dynamic systems with probabilistic and nondeterministic behaviour in uncertain
    environments. We prove that in POMDPs with long-run average objective, the decision
    maker has approximately optimal strategies with finite memory. This implies notably
    that approximating the long-run value is recursively enumerable, as well as a
    weak continuity property of the value with respect to the transition function. '
acknowledgement: "Partially supported by Austrian Science Fund (FWF) NFN Grant No
  RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT
  through grant C15E03.\r\n"
article_processing_charge: No
article_type: original
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: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Bruno
  full_name: Ziliotto, Bruno
  last_name: Ziliotto
citation:
  ama: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs
    with long-run average objectives. <i>Mathematics of Operations Research</i>. 2022;47(1):100-119.
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>
  apa: Chatterjee, K., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2022). Finite-memory
    strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations
    Research</i>. Institute for Operations Research and the Management Sciences. <a
    href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>
  chicago: Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto.
    “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics
    of Operations Research</i>. Institute for Operations Research and the Management
    Sciences, 2022. <a href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>.
  ieee: K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies
    in POMDPs with long-run average objectives,” <i>Mathematics of Operations Research</i>,
    vol. 47, no. 1. Institute for Operations Research and the Management Sciences,
    pp. 100–119, 2022.
  ista: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies
    in POMDPs with long-run average objectives. Mathematics of Operations Research.
    47(1), 100–119.
  mla: Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run
    Average Objectives.” <i>Mathematics of Operations Research</i>, vol. 47, no. 1,
    Institute for Operations Research and the Management Sciences, 2022, pp. 100–19,
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>.
  short: K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations
    Research 47 (2022) 100–119.
date_created: 2021-04-08T09:33:31Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-09-05T13:16:11Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2020.1116
external_id:
  arxiv:
  - '1904.13360'
  isi:
  - '000731918100001'
intvolume: '        47'
isi: 1
issue: '1'
keyword:
- Management Science and Operations Research
- General Mathematics
- Computer Science Applications
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1904.13360
month: '02'
oa: 1
oa_version: Preprint
page: 100-119
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Mathematics of Operations Research
publication_identifier:
  eissn:
  - 1526-5471
  issn:
  - 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite-memory strategies in POMDPs with long-run average objectives
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 47
year: '2022'
...
---
_id: '9364'
abstract:
- lang: eng
  text: 'Let t : Fp → C be a complex valued function on Fp. A classical problem in
    analytic number theory is bounding the maximum M(t) := max 0≤H<p ∣ 1/√p ∑ 0≤n<H
    t (n) ∣ of the absolute value of the incomplete sums(1/√p)∑0≤n<H t (n). In this
    very general context one of the most important results is the Pólya–Vinogradov
    bound M(t)≤IIˆtII∞ log 3p, where ˆt : Fp → C is the normalized Fourier transform
    of t. In this paper we provide a lower bound for certain incomplete Kloosterman
    sums, namely we prove that for any ε > 0 there exists a large subset of a ∈ F×p
    such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1))
    log log p, as p→∞. Finally, we prove a result on the growth of the moments of
    {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary);
    14F20, 60F10 (Secondary).'
acknowledgement: I am most thankful to my advisor, Emmanuel Kowalski, for suggesting
  this problem and for his guidance during these years. I also would like to thank
  Youness Lamzouri for informing me about his work on sum of incomplete Birch sums
  and Tal Horesh for her suggestions on a previous version of the paper. Finally,
  I am very grateful to the anonymous referee for their careful reading of the manuscript
  and their valuable comments.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dante
  full_name: Bonolis, Dante
  id: 6A459894-5FDD-11E9-AF35-BB24E6697425
  last_name: Bonolis
citation:
  ama: Bonolis D. On the size of the maximum of incomplete Kloosterman sums. <i>Mathematical
    Proceedings of the Cambridge Philosophical Society</i>. 2022;172(3):563-590. doi:<a
    href="https://doi.org/10.1017/S030500412100030X">10.1017/S030500412100030X</a>
  apa: Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums.
    <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge
    University Press. <a href="https://doi.org/10.1017/S030500412100030X">https://doi.org/10.1017/S030500412100030X</a>
  chicago: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.”
    <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Cambridge
    University Press, 2022. <a href="https://doi.org/10.1017/S030500412100030X">https://doi.org/10.1017/S030500412100030X</a>.
  ieee: D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” <i>Mathematical
    Proceedings of the Cambridge Philosophical Society</i>, vol. 172, no. 3. Cambridge
    University Press, pp. 563–590, 2022.
  ista: Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums.
    Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590.
  mla: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.”
    <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 172,
    no. 3, Cambridge University Press, 2022, pp. 563–90, doi:<a href="https://doi.org/10.1017/S030500412100030X">10.1017/S030500412100030X</a>.
  short: D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society
    172 (2022) 563–590.
date_created: 2021-05-02T22:01:29Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2023-08-02T06:47:48Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1017/S030500412100030X
external_id:
  arxiv:
  - '1811.10563'
  isi:
  - '000784421500001'
file:
- access_level: open_access
  checksum: 614d2e9b83a78100408e4ee7752a80a8
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-12-01T14:01:54Z
  date_updated: 2021-12-01T14:01:54Z
  file_id: '10395'
  file_name: 2021_MathProcCamPhilSoc_Bonolis.pdf
  file_size: 334064
  relation: main_file
  success: 1
file_date_updated: 2021-12-01T14:01:54Z
has_accepted_license: '1'
intvolume: '       172'
isi: 1
issue: '3'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 563 - 590
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_identifier:
  eissn:
  - 1469-8064
  issn:
  - 0305-0041
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the size of the maximum of incomplete Kloosterman sums
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 172
year: '2022'
...
---
_id: '9649'
abstract:
- lang: eng
  text: "Isomanifolds are the generalization of isosurfaces to arbitrary dimension
    and codimension, i.e. manifolds defined as the zero set of some multivariate vector-valued
    smooth function f : Rd → Rd−n. A natural (and efficient) way to approximate an
    isomanifold is to consider its Piecewise-Linear (PL) approximation based on a
    triangulation T of the ambient space Rd. In this paper, we give conditions under
    which the PL-approximation of an isomanifold is topologically equivalent to the
    isomanifold. The conditions are easy to satisfy in the sense that they can always
    be met by taking a sufficiently\r\nfine triangulation T . This contrasts with
    previous results on the triangulation of manifolds where, in arbitrary dimensions,
    delicate perturbations are needed to guarantee topological correctness, which
    leads to strong limitations in practice. We further give a bound on the Fréchet
    distance between the original isomanifold and its PL-approximation. Finally we
    show analogous results for the PL-approximation of an isomanifold with boundary."
acknowledgement: "First and foremost, we acknowledge Siargey Kachanovich for discussions.
  We thank Herbert Edelsbrunner and all members of his group, all former and current
  members of the Datashape team (formerly known as Geometrica), and André Lieutier
  for encouragement. We further thank the reviewers of Foundations of Computational
  Mathematics and the reviewers and program committee of the Symposium on Computational
  Geometry for their feedback, which improved the exposition.\r\nThis work was 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). This work was also supported by the French government, through the
  3IA Côte d’Azur Investments in the Future project managed by the National Research
  Agency (ANR) with the reference number ANR-19-P3IA-0002. Mathijs Wintraecken also
  received funding from the European Union’s Horizon 2020 research and innovation
  programme under the Marie Skłodowska-Curie grant agreement no. 754411."
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: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: Boissonnat J-D, Wintraecken M. The topological correctness of PL approximations
    of isomanifolds. <i>Foundations of Computational Mathematics </i>. 2022;22:967-1012.
    doi:<a href="https://doi.org/10.1007/s10208-021-09520-0">10.1007/s10208-021-09520-0</a>
  apa: Boissonnat, J.-D., &#38; Wintraecken, M. (2022). The topological correctness
    of PL approximations of isomanifolds. <i>Foundations of Computational Mathematics
    </i>. Springer Nature. <a href="https://doi.org/10.1007/s10208-021-09520-0">https://doi.org/10.1007/s10208-021-09520-0</a>
  chicago: Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness
    of PL Approximations of Isomanifolds.” <i>Foundations of Computational Mathematics
    </i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s10208-021-09520-0">https://doi.org/10.1007/s10208-021-09520-0</a>.
  ieee: J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL approximations
    of isomanifolds,” <i>Foundations of Computational Mathematics </i>, vol. 22. Springer
    Nature, pp. 967–1012, 2022.
  ista: Boissonnat J-D, Wintraecken M. 2022. The topological correctness of PL approximations
    of isomanifolds. Foundations of Computational Mathematics . 22, 967–1012.
  mla: Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness
    of PL Approximations of Isomanifolds.” <i>Foundations of Computational Mathematics
    </i>, vol. 22, Springer Nature, 2022, pp. 967–1012, doi:<a href="https://doi.org/10.1007/s10208-021-09520-0">10.1007/s10208-021-09520-0</a>.
  short: J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics  22
    (2022) 967–1012.
date_created: 2021-07-14T06:44:53Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2023-08-02T06:49:17Z
day: '01'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.1007/s10208-021-09520-0
ec_funded: 1
external_id:
  isi:
  - '000673039600001'
file:
- access_level: open_access
  checksum: f1d372ec3c08ec22e84f8e93e1126b8c
  content_type: application/pdf
  creator: mwintrae
  date_created: 2021-07-14T06:44:36Z
  date_updated: 2021-07-14T06:44:36Z
  file_id: '9650'
  file_name: Boissonnat-Wintraecken2021_Article_TheTopologicalCorrectnessOfPLA.pdf
  file_size: 1455699
  relation: main_file
file_date_updated: 2021-07-14T06:44:36Z
has_accepted_license: '1'
intvolume: '        22'
isi: 1
language:
- iso: eng
month: '0'
oa: 1
oa_version: Published Version
page: 967-1012
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 'Foundations of Computational Mathematics '
publication_identifier:
  eissn:
  - 1615-3383
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '7952'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: The topological correctness of PL approximations of isomanifolds
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 22
year: '2022'
...
---
_id: '9794'
abstract:
- lang: eng
  text: 'Lymph nodes (LNs) comprise two main structural elements: fibroblastic reticular
    cells that form dedicated niches for immune cell interaction and capsular fibroblasts
    that build a shell around the organ. Immunological challenge causes LNs to increase
    more than tenfold in size within a few days. Here, we characterized the biomechanics
    of LN swelling on the cellular and organ scale. We identified lymphocyte trapping
    by influx and proliferation as drivers of an outward pressure force, causing fibroblastic
    reticular cells of the T-zone (TRCs) and their associated conduits to stretch.
    After an initial phase of relaxation, TRCs sensed the resulting strain through
    cell matrix adhesions, which coordinated local growth and remodeling of the stromal
    network. While the expanded TRC network readopted its typical configuration, a
    massive fibrotic reaction of the organ capsule set in and countered further organ
    expansion. Thus, different fibroblast populations mechanically control LN swelling
    in a multitier fashion.'
acknowledged_ssus:
- _id: Bio
- _id: EM-Fac
- _id: PreCl
- _id: LifeSc
acknowledgement: This research was supported by the Scientific Service Units of IST
  Austria through resources provided by the Imaging and Optics, Electron Microscopy,
  Preclinical and Life Science Facilities. We thank C. Moussion for providing anti-PNAd
  antibody and D. Critchley for Talin1-floxed mice, and E. Papusheva for providing
  a custom 3D channel alignment script. This work was supported by a European Research
  Council grant ERC-CoG-72437 to M.S. M.H. was supported by Czech Sciencundation GACR
  20-24603Y and Charles University PRIMUS/20/MED/013.
article_processing_charge: No
article_type: original
author:
- first_name: Frank P
  full_name: Assen, Frank P
  id: 3A8E7F24-F248-11E8-B48F-1D18A9856A87
  last_name: Assen
  orcid: 0000-0003-3470-6119
- first_name: Jun
  full_name: Abe, Jun
  last_name: Abe
- first_name: Miroslav
  full_name: Hons, Miroslav
  id: 4167FE56-F248-11E8-B48F-1D18A9856A87
  last_name: Hons
  orcid: 0000-0002-6625-3348
- first_name: Robert
  full_name: Hauschild, Robert
  id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87
  last_name: Hauschild
  orcid: 0000-0001-9843-3522
- first_name: Shayan
  full_name: Shamipour, Shayan
  id: 40B34FE2-F248-11E8-B48F-1D18A9856A87
  last_name: Shamipour
- first_name: Walter
  full_name: Kaufmann, Walter
  id: 3F99E422-F248-11E8-B48F-1D18A9856A87
  last_name: Kaufmann
  orcid: 0000-0001-9735-5315
- first_name: Tommaso
  full_name: Costanzo, Tommaso
  id: D93824F4-D9BA-11E9-BB12-F207E6697425
  last_name: Costanzo
  orcid: 0000-0001-9732-3815
- first_name: Gabriel
  full_name: Krens, Gabriel
  id: 2B819732-F248-11E8-B48F-1D18A9856A87
  last_name: Krens
  orcid: 0000-0003-4761-5996
- first_name: Markus
  full_name: Brown, Markus
  id: 3DAB9AFC-F248-11E8-B48F-1D18A9856A87
  last_name: Brown
- first_name: Burkhard
  full_name: Ludewig, Burkhard
  last_name: Ludewig
- first_name: Simon
  full_name: Hippenmeyer, Simon
  id: 37B36620-F248-11E8-B48F-1D18A9856A87
  last_name: Hippenmeyer
  orcid: 0000-0003-2279-1061
- first_name: Carl-Philipp J
  full_name: Heisenberg, Carl-Philipp J
  id: 39427864-F248-11E8-B48F-1D18A9856A87
  last_name: Heisenberg
  orcid: 0000-0002-0912-4566
- first_name: Wolfgang
  full_name: Weninger, Wolfgang
  last_name: Weninger
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Sanjiv A.
  full_name: Luther, Sanjiv A.
  last_name: Luther
- first_name: Jens V.
  full_name: Stein, Jens V.
  last_name: Stein
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-4561-241X
citation:
  ama: Assen FP, Abe J, Hons M, et al. Multitier mechanics control stromal adaptations
    in swelling lymph nodes. <i>Nature Immunology</i>. 2022;23:1246-1255. doi:<a href="https://doi.org/10.1038/s41590-022-01257-4">10.1038/s41590-022-01257-4</a>
  apa: Assen, F. P., Abe, J., Hons, M., Hauschild, R., Shamipour, S., Kaufmann, W.,
    … Sixt, M. K. (2022). Multitier mechanics control stromal adaptations in swelling
    lymph nodes. <i>Nature Immunology</i>. Springer Nature. <a href="https://doi.org/10.1038/s41590-022-01257-4">https://doi.org/10.1038/s41590-022-01257-4</a>
  chicago: Assen, Frank P, Jun Abe, Miroslav Hons, Robert Hauschild, Shayan Shamipour,
    Walter Kaufmann, Tommaso Costanzo, et al. “Multitier Mechanics Control Stromal
    Adaptations in Swelling Lymph Nodes.” <i>Nature Immunology</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1038/s41590-022-01257-4">https://doi.org/10.1038/s41590-022-01257-4</a>.
  ieee: F. P. Assen <i>et al.</i>, “Multitier mechanics control stromal adaptations
    in swelling lymph nodes,” <i>Nature Immunology</i>, vol. 23. Springer Nature,
    pp. 1246–1255, 2022.
  ista: Assen FP, Abe J, Hons M, Hauschild R, Shamipour S, Kaufmann W, Costanzo T,
    Krens G, Brown M, Ludewig B, Hippenmeyer S, Heisenberg C-PJ, Weninger W, Hannezo
    EB, Luther SA, Stein JV, Sixt MK. 2022. Multitier mechanics control stromal adaptations
    in swelling lymph nodes. Nature Immunology. 23, 1246–1255.
  mla: Assen, Frank P., et al. “Multitier Mechanics Control Stromal Adaptations in
    Swelling Lymph Nodes.” <i>Nature Immunology</i>, vol. 23, Springer Nature, 2022,
    pp. 1246–55, doi:<a href="https://doi.org/10.1038/s41590-022-01257-4">10.1038/s41590-022-01257-4</a>.
  short: F.P. Assen, J. Abe, M. Hons, R. Hauschild, S. Shamipour, W. Kaufmann, T.
    Costanzo, G. Krens, M. Brown, B. Ludewig, S. Hippenmeyer, C.-P.J. Heisenberg,
    W. Weninger, E.B. Hannezo, S.A. Luther, J.V. Stein, M.K. Sixt, Nature Immunology
    23 (2022) 1246–1255.
date_created: 2021-08-06T09:09:11Z
date_published: 2022-07-11T00:00:00Z
date_updated: 2023-08-02T06:53:07Z
day: '11'
ddc:
- '570'
department:
- _id: SiHi
- _id: CaHe
- _id: EdHa
- _id: EM-Fac
- _id: Bio
- _id: MiSi
doi: 10.1038/s41590-022-01257-4
ec_funded: 1
external_id:
  isi:
  - '000822975900002'
file:
- access_level: open_access
  checksum: 628e7b49809f22c75b428842efe70c68
  content_type: application/pdf
  creator: dernst
  date_created: 2022-07-25T07:11:32Z
  date_updated: 2022-07-25T07:11:32Z
  file_id: '11642'
  file_name: 2022_NatureImmunology_Assen.pdf
  file_size: 11475325
  relation: main_file
  success: 1
file_date_updated: 2022-07-25T07:11:32Z
has_accepted_license: '1'
intvolume: '        23'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 1246-1255
project:
- _id: 25FE9508-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '724373'
  name: Cellular navigation along spatial gradients
publication: Nature Immunology
publication_identifier:
  eissn:
  - 1529-2916
  issn:
  - 1529-2908
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multitier mechanics control stromal adaptations in swelling lymph nodes
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 23
year: '2022'
...
