---
_id: '18230'
abstract:
- lang: eng
  text: 'A variety of complex systems, including social and communication networks,
    financial markets, biology, and neuroscience are modeled using temporal graphs
    that contain a set of nodes and directed timestamped edges. Temporal motifs in
    temporal graphs are generalized from subgraph patterns in static graphs in that
    they also account for edge ordering and time duration, in addition to the graph
    structure. Mining temporal motifs is a fundamental problem used in several application
    domains. However, existing software frameworks offer suboptimal performance due
    to high algorithmic complexity and irregular memory accesses of temporal motif
    mining.This paper presents Mint—a novel accelerator architecture and a programming
    model for mining temporal motifs efficiently. We first divide this workload into
    three fundamental tasks: search, book-keeping, and backtracking. Based on this,
    we propose a task-centric programming model that enables decoupled, asynchronous
    execution. This model unlocks massive opportunities for parallelism, and allows
    storing task context information on-chip. To best utilize the proposed programming
    model, we design a domain-specific hardware accelerator using its data path and
    memory subsystem design to cater to the unique workload characteristics of temporal
    motif mining. To further improve performance, we propose a novel optimization
    called search index memoization that significantly reduces memory traffic. We
    comprehensively compare the performance of Mint with state-of-the-art temporal
    motif mining software frameworks (both approximate and exact) running on both
    CPU and GPU, and show 9×−2576× benefit in performance.'
article_processing_charge: No
author:
- first_name: Nishil
  full_name: Talati, Nishil
  last_name: Talati
- first_name: Haojie
  full_name: Ye, Haojie
  last_name: Ye
- first_name: Sanketh
  full_name: Vedula, Sanketh
  last_name: Vedula
- first_name: Kuan-Yu
  full_name: Chen, Kuan-Yu
  last_name: Chen
- first_name: Yuhan
  full_name: Chen, Yuhan
  last_name: Chen
- first_name: Daniel
  full_name: Liu, Daniel
  last_name: Liu
- first_name: Yichao
  full_name: Yuan, Yichao
  last_name: Yuan
- first_name: David
  full_name: Blaauw, David
  last_name: Blaauw
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Trevor
  full_name: Mudge, Trevor
  last_name: Mudge
- first_name: Ronald
  full_name: Dreslinski, Ronald
  last_name: Dreslinski
citation:
  ama: 'Talati N, Ye H, Vedula S, et al. Mint: An accelerator for mining temporal
    motifs. In: <i>55th IEEE/ACM International Symposium on Microarchitecture</i>.
    Institute of Electrical and Electronics Engineers; 2022. doi:<a href="https://doi.org/10.1109/micro56248.2022.00089">10.1109/micro56248.2022.00089</a>'
  apa: 'Talati, N., Ye, H., Vedula, S., Chen, K.-Y., Chen, Y., Liu, D., … Dreslinski,
    R. (2022). Mint: An accelerator for mining temporal motifs. In <i>55th IEEE/ACM
    International Symposium on Microarchitecture</i>. Chicago, IL, United States:
    Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/micro56248.2022.00089">https://doi.org/10.1109/micro56248.2022.00089</a>'
  chicago: 'Talati, Nishil, Haojie Ye, Sanketh Vedula, Kuan-Yu Chen, Yuhan Chen, Daniel
    Liu, Yichao Yuan, et al. “Mint: An Accelerator for Mining Temporal Motifs.” In
    <i>55th IEEE/ACM International Symposium on Microarchitecture</i>. Institute of
    Electrical and Electronics Engineers, 2022. <a href="https://doi.org/10.1109/micro56248.2022.00089">https://doi.org/10.1109/micro56248.2022.00089</a>.'
  ieee: 'N. Talati <i>et al.</i>, “Mint: An accelerator for mining temporal motifs,”
    in <i>55th IEEE/ACM International Symposium on Microarchitecture</i>, Chicago,
    IL, United States, 2022.'
  ista: 'Talati N, Ye H, Vedula S, Chen K-Y, Chen Y, Liu D, Yuan Y, Blaauw D, Bronstein
    AM, Mudge T, Dreslinski R. 2022. Mint: An accelerator for mining temporal motifs.
    55th IEEE/ACM International Symposium on Microarchitecture. MICRO: Symposium on
    Microarchitecture.'
  mla: 'Talati, Nishil, et al. “Mint: An Accelerator for Mining Temporal Motifs.”
    <i>55th IEEE/ACM International Symposium on Microarchitecture</i>, Institute of
    Electrical and Electronics Engineers, 2022, doi:<a href="https://doi.org/10.1109/micro56248.2022.00089">10.1109/micro56248.2022.00089</a>.'
  short: N. Talati, H. Ye, S. Vedula, K.-Y. Chen, Y. Chen, D. Liu, Y. Yuan, D. Blaauw,
    A.M. Bronstein, T. Mudge, R. Dreslinski, in:, 55th IEEE/ACM International Symposium
    on Microarchitecture, Institute of Electrical and Electronics Engineers, 2022.
conference:
  end_date: 2022-10-05
  location: Chicago, IL, United States
  name: 'MICRO: Symposium on Microarchitecture'
  start_date: 2022-10-01
date_created: 2024-10-08T12:56:03Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2024-10-15T07:14:02Z
day: '01'
doi: 10.1109/micro56248.2022.00089
extern: '1'
language:
- iso: eng
month: '10'
oa_version: None
publication: 55th IEEE/ACM International Symposium on Microarchitecture
publication_identifier:
  eisbn:
  - '9781665462723'
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Mint: An accelerator for mining temporal motifs'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
OA_place: repository
OA_type: green
_id: '18231'
abstract:
- lang: eng
  text: 'The success of learning with noisy labels (LNL) methods relies heavily on
    the success of a warm-up stage where standard supervised training is performed
    using the full (noisy) training set. In this paper, we identify a "warm-up obstacle":
    the inability of standard warm-up stages to train high quality feature extractors
    and avert memorization of noisy labels. We propose "Contrast to Divide" (C2D),
    a simple framework that solves this problem by pre-training the feature extractor
    in a self-supervised fashion. Using self-supervised pre-training boosts the performance
    of existing LNL approaches by drastically reducing the warm-up stage''s susceptibility
    to noise level, shortening its duration, and improving extracted feature quality.
    C2D works out of the box with existing methods and demonstrates markedly improved
    performance, especially in the high noise regime, where we get a boost of more
    than 27% for CIFAR-100 with 90% noise over the previous state of the art. In real-life
    noise settings, C2D trained on mini-WebVision outperforms previous works both
    in WebVision and ImageNet validation sets by 3% top-1 accuracy. We perform an
    in-depth analysis of the framework, including investigating the performance of
    different pre-training approaches and estimating the effective upper bound of
    the LNL performance with semi-supervised learning. Code for reproducing our experiments
    is available at https://github.com/ContrastToDivide/C2D.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Evgenii
  full_name: Zheltonozhskii, Evgenii
  last_name: Zheltonozhskii
- first_name: Chaim
  full_name: Baskin, Chaim
  last_name: Baskin
- first_name: Avi
  full_name: Mendelson, Avi
  last_name: Mendelson
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Or
  full_name: Litany, Or
  last_name: Litany
citation:
  ama: 'Zheltonozhskii E, Baskin C, Mendelson A, Bronstein AM, Litany O. Contrast
    to divide: Self-supervised pre-training for learning with noisy labels. In: <i>IEEE/CVF
    Winter Conference on Applications of Computer Vision</i>. Institute of Electrical
    and Electronics Engineers; 2022:387-397. doi:<a href="https://doi.org/10.1109/wacv51458.2022.00046">10.1109/wacv51458.2022.00046</a>'
  apa: 'Zheltonozhskii, E., Baskin, C., Mendelson, A., Bronstein, A. M., &#38; Litany,
    O. (2022). Contrast to divide: Self-supervised pre-training for learning with
    noisy labels. In <i>IEEE/CVF Winter Conference on Applications of Computer Vision</i>
    (pp. 387–397). Waikoloa, HI, United States: Institute of Electrical and Electronics
    Engineers. <a href="https://doi.org/10.1109/wacv51458.2022.00046">https://doi.org/10.1109/wacv51458.2022.00046</a>'
  chicago: 'Zheltonozhskii, Evgenii, Chaim Baskin, Avi Mendelson, Alex M. Bronstein,
    and Or Litany. “Contrast to Divide: Self-Supervised Pre-Training for Learning
    with Noisy Labels.” In <i>IEEE/CVF Winter Conference on Applications of Computer
    Vision</i>, 387–97. Institute of Electrical and Electronics Engineers, 2022. <a
    href="https://doi.org/10.1109/wacv51458.2022.00046">https://doi.org/10.1109/wacv51458.2022.00046</a>.'
  ieee: 'E. Zheltonozhskii, C. Baskin, A. Mendelson, A. M. Bronstein, and O. Litany,
    “Contrast to divide: Self-supervised pre-training for learning with noisy labels,”
    in <i>IEEE/CVF Winter Conference on Applications of Computer Vision</i>, Waikoloa,
    HI, United States, 2022, pp. 387–397.'
  ista: 'Zheltonozhskii E, Baskin C, Mendelson A, Bronstein AM, Litany O. 2022. Contrast
    to divide: Self-supervised pre-training for learning with noisy labels. IEEE/CVF
    Winter Conference on Applications of Computer Vision. WACV: Winter Conference
    on Applications of Computer Vision, 387–397.'
  mla: 'Zheltonozhskii, Evgenii, et al. “Contrast to Divide: Self-Supervised Pre-Training
    for Learning with Noisy Labels.” <i>IEEE/CVF Winter Conference on Applications
    of Computer Vision</i>, Institute of Electrical and Electronics Engineers, 2022,
    pp. 387–97, doi:<a href="https://doi.org/10.1109/wacv51458.2022.00046">10.1109/wacv51458.2022.00046</a>.'
  short: E. Zheltonozhskii, C. Baskin, A. Mendelson, A.M. Bronstein, O. Litany, in:,
    IEEE/CVF Winter Conference on Applications of Computer Vision, Institute of Electrical
    and Electronics Engineers, 2022, pp. 387–397.
conference:
  end_date: 2022-01-08
  location: Waikoloa, HI, United States
  name: 'WACV: Winter Conference on Applications of Computer Vision'
  start_date: 2022-01-03
date_created: 2024-10-08T12:56:20Z
date_published: 2022-02-15T00:00:00Z
date_updated: 2024-10-15T07:27:12Z
day: '15'
doi: 10.1109/wacv51458.2022.00046
extern: '1'
external_id:
  arxiv:
  - '2103.13646'
language:
- iso: eng
month: '02'
oa_version: Preprint
page: 387-397
publication: IEEE/CVF Winter Conference on Applications of Computer Vision
publication_identifier:
  eisbn:
  - '9781665409155'
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/ContrastToDivide/C2D
scopus_import: '1'
status: public
title: 'Contrast to divide: Self-supervised pre-training for learning with noisy labels'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '18232'
abstract:
- lang: eng
  text: Cross-modal retrieval aims to retrieve related items across different modalities,
    for example, using an image query to retrieve related text. The existing deep
    methods ignore both the intra-modal and inter-modal intra-class low-rank structures
    when fusing various modalities, which decreases the retrieval performance. In
    this paper, two deep models (denoted as ILCMR and Semi-ILCMR) based on intra-class
    low-rank regularization are proposed for supervised and semi-supervised cross-modal
    retrieval, respectively. Specifically, ILCMR integrates the image network and
    text network into a unified framework to learn a common feature space by imposing
    three regularization terms to fuse the cross-modal data. First, to align them
    in the label space, we utilize semantic consistency regularization to convert
    the data representations to probability distributions over the classes. Second,
    we introduce an intra-modal low-rank regularization, which encourages the intra-class
    samples that originate from the same space to be more relevant in the common feature
    space. Third, an inter-modal low-rank regularization is applied to reduce the
    cross-modal discrepancy. To enable the low-rank regularization to be optimized
    using automatic gradients during network back-propagation, we propose the rank-r
    approximation and specify the explicit gradients for theoretical completeness.
    In addition to the three regularization terms that rely on label information incorporated
    by ILCMR, we propose Semi-ILCMR in the semi-supervised regime, which introduces
    a low-rank constraint before projecting the general representations into the common
    feature space. Extensive experiments on four public cross-modal datasets demonstrate
    the superiority of ILCMR and Semi-ILCMR over other state-of-the-art methods.
article_processing_charge: No
article_type: original
author:
- first_name: Peipei
  full_name: Kang, Peipei
  last_name: Kang
- first_name: Zehang
  full_name: Lin, Zehang
  last_name: Lin
- first_name: Zhenguo
  full_name: Yang, Zhenguo
  last_name: Yang
- first_name: Xiaozhao
  full_name: Fang, Xiaozhao
  last_name: Fang
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Qing
  full_name: Li, Qing
  last_name: Li
- first_name: Wenyin
  full_name: Liu, Wenyin
  last_name: Liu
citation:
  ama: Kang P, Lin Z, Yang Z, et al. Intra-class low-rank regularization for supervised
    and semi-supervised cross-modal retrieval. <i>Applied Intelligence</i>. 2022;52:33-54.
    doi:<a href="https://doi.org/10.1007/s10489-021-02308-3">10.1007/s10489-021-02308-3</a>
  apa: Kang, P., Lin, Z., Yang, Z., Fang, X., Bronstein, A. M., Li, Q., &#38; Liu,
    W. (2022). Intra-class low-rank regularization for supervised and semi-supervised
    cross-modal retrieval. <i>Applied Intelligence</i>. Springer Nature. <a href="https://doi.org/10.1007/s10489-021-02308-3">https://doi.org/10.1007/s10489-021-02308-3</a>
  chicago: Kang, Peipei, Zehang Lin, Zhenguo Yang, Xiaozhao Fang, Alex M. Bronstein,
    Qing Li, and Wenyin Liu. “Intra-Class Low-Rank Regularization for Supervised and
    Semi-Supervised Cross-Modal Retrieval.” <i>Applied Intelligence</i>. Springer
    Nature, 2022. <a href="https://doi.org/10.1007/s10489-021-02308-3">https://doi.org/10.1007/s10489-021-02308-3</a>.
  ieee: P. Kang <i>et al.</i>, “Intra-class low-rank regularization for supervised
    and semi-supervised cross-modal retrieval,” <i>Applied Intelligence</i>, vol.
    52. Springer Nature, pp. 33–54, 2022.
  ista: Kang P, Lin Z, Yang Z, Fang X, Bronstein AM, Li Q, Liu W. 2022. Intra-class
    low-rank regularization for supervised and semi-supervised cross-modal retrieval.
    Applied Intelligence. 52, 33–54.
  mla: Kang, Peipei, et al. “Intra-Class Low-Rank Regularization for Supervised and
    Semi-Supervised Cross-Modal Retrieval.” <i>Applied Intelligence</i>, vol. 52,
    Springer Nature, 2022, pp. 33–54, doi:<a href="https://doi.org/10.1007/s10489-021-02308-3">10.1007/s10489-021-02308-3</a>.
  short: P. Kang, Z. Lin, Z. Yang, X. Fang, A.M. Bronstein, Q. Li, W. Liu, Applied
    Intelligence 52 (2022) 33–54.
date_created: 2024-10-08T12:56:38Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2024-10-15T07:30:00Z
day: '01'
doi: 10.1007/s10489-021-02308-3
extern: '1'
intvolume: '        52'
language:
- iso: eng
month: '01'
oa_version: None
page: 33-54
publication: Applied Intelligence
publication_identifier:
  eissn:
  - 1573-7497
  issn:
  - 0924-669X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Intra-class low-rank regularization for supervised and semi-supervised cross-modal
  retrieval
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2022'
...
---
_id: '18291'
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
- first_name: Daniel
  full_name: Jirovec, Daniel
  id: 4C473F58-F248-11E8-B48F-1D18A9856A87
  last_name: Jirovec
  orcid: 0000-0002-7197-4801
citation:
  ama: "Katsaros G, Jirovec D. Dynamics of Hole Singlet-Triplet Qubits with Large
    \U0001D454-Factor Differences. 2022. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:18291\">10.15479/AT:ISTA:18291</a>"
  apa: "Katsaros, G., &#38; Jirovec, D. (2022). Dynamics of Hole Singlet-Triplet Qubits
    with Large \U0001D454-Factor Differences. Institute of Science and Technology
    Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:18291\">https://doi.org/10.15479/AT:ISTA:18291</a>"
  chicago: "Katsaros, Georgios, and Daniel Jirovec. “Dynamics of Hole Singlet-Triplet
    Qubits with Large \U0001D454-Factor Differences.” Institute of Science and Technology
    Austria, 2022. <a href=\"https://doi.org/10.15479/AT:ISTA:18291\">https://doi.org/10.15479/AT:ISTA:18291</a>."
  ieee: "G. Katsaros and D. Jirovec, “Dynamics of Hole Singlet-Triplet Qubits with
    Large \U0001D454-Factor Differences.” Institute of Science and Technology Austria,
    2022."
  ista: "Katsaros G, Jirovec D. 2022. Dynamics of Hole Singlet-Triplet Qubits with
    Large \U0001D454-Factor Differences, Institute of Science and Technology Austria,
    <a href=\"https://doi.org/10.15479/AT:ISTA:18291\">10.15479/AT:ISTA:18291</a>."
  mla: "Katsaros, Georgios, and Daniel Jirovec. <i>Dynamics of Hole Singlet-Triplet
    Qubits with Large \U0001D454-Factor Differences</i>. Institute of Science and
    Technology Austria, 2022, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:18291\">10.15479/AT:ISTA:18291</a>."
  short: G. Katsaros, D. Jirovec, (2022).
corr_author: '1'
date_created: 2024-10-09T19:35:03Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2025-04-15T07:15:24Z
day: '01'
department:
- _id: GeKa
doi: 10.15479/AT:ISTA:18291
file:
- access_level: open_access
  checksum: 3128dffbd09267b93c2d0b1425fd3ba2
  content_type: application/x-zip-compressed
  creator: gkatsaro
  date_created: 2024-10-09T19:31:35Z
  date_updated: 2024-10-09T19:31:35Z
  file_id: '18292'
  file_name: SOIPaper.zip
  file_size: 25566516
  relation: main_file
  success: 1
- access_level: open_access
  checksum: df077d2f4652afeb3bf100068e88aa48
  content_type: text/plain
  creator: gkatsaro
  date_created: 2024-10-14T18:11:45Z
  date_updated: 2024-10-14T18:11:45Z
  file_id: '18442'
  file_name: Readme.txt
  file_size: 6776
  relation: main_file
  success: 1
file_date_updated: 2024-10-14T18:11:45Z
has_accepted_license: '1'
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: None
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '10920'
    relation: research_paper
    status: public
status: public
title: "Dynamics of Hole Singlet-Triplet Qubits with Large \U0001D454-Factor Differences"
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: research_data
user_id: 68b8ca59-c5b3-11ee-8790-cd641c68093d
year: '2022'
...
---
OA_place: repository
_id: '18293'
abstract:
- lang: eng
  text: Given a non-singular diagonal cubic hypersurface X⊂Pn−1 over Fq(t) with char(Fq)≠3,
    we show that the number of rational points of height at most |P| is O(|P|3+ε)
    for n=6 and O(|P|2+ε) for n=4. In fact, if n=4 and char(Fq)>3 we prove that the
    number of rational points away from any rational line contained in X is bounded
    by O(|P|3/2+ε). From the result in 6 variables we deduce weak approximation for
    diagonal cubic hypersurfaces for n≥7 over Fq(t) when char(Fq)>3 and handle Waring's
    problem for cubes in 7 variables over Fq(t) when char(Fq)≠3. Our results answer
    a question of Davenport regarding the number of solutions of bounded height to
    x31+x32+x33=x34+x35+x36 with xi∈Fq[t].
article_number: '2208.05422'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jakob
  full_name: Glas, Jakob
  id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb
  last_name: Glas
- first_name: Leonhard
  full_name: Hochfilzer, Leonhard
  last_name: Hochfilzer
citation:
  ama: Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over
    Fq(t). <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2208.05422">10.48550/arXiv.2208.05422</a>
  apa: Glas, J., &#38; Hochfilzer, L. (n.d.). On a question of Davenport and diagonal
    cubic forms over Fq(t). <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2208.05422">https://doi.org/10.48550/arXiv.2208.05422</a>
  chicago: Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal
    Cubic Forms over Fq(T).” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2208.05422">https://doi.org/10.48550/arXiv.2208.05422</a>.
  ieee: J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic
    forms over Fq(t),” <i>arXiv</i>. .
  ista: Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms
    over Fq(t). arXiv, 2208.05422.
  mla: Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal
    Cubic Forms over Fq(T).” <i>ArXiv</i>, 2208.05422, doi:<a href="https://doi.org/10.48550/arXiv.2208.05422">10.48550/arXiv.2208.05422</a>.
  short: J. Glas, L. Hochfilzer, ArXiv (n.d.).
corr_author: '1'
date_created: 2024-10-10T12:46:41Z
date_published: 2022-08-10T00:00:00Z
date_updated: 2026-04-07T12:53:53Z
day: '10'
department:
- _id: TiBr
doi: 10.48550/arXiv.2208.05422
external_id:
  arxiv:
  - '2208.05422'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2208.05422
month: '08'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '18705'
    relation: later_version
    status: public
  - id: '18132'
    relation: dissertation_contains
    status: public
status: public
title: On a question of Davenport and diagonal cubic forms over Fq(t)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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.
corr_author: '1'
date_created: 2020-05-03T22:00:48Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2025-04-14T07:48:36Z
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
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: '8286'
abstract:
- lang: eng
  text: "We consider the following dynamic load-balancing process: given an underlying
    graph G with n nodes, in each step t≥ 0, one unit of load is created, and placed
    at a randomly chosen graph node. In the same step, the chosen node picks a random
    neighbor, and the two nodes balance their loads by averaging them. We are interested
    in the expected gap between the minimum and maximum loads at nodes as the process
    progresses, and its dependence on n and on the graph structure. Variants of the
    above graphical balanced allocation process have been studied previously by Peres,
    Talwar, and Wieder [Peres et al., 2015], and by Sauerwald and Sun [Sauerwald and
    Sun, 2015]. These authors left as open the question of characterizing the gap
    in the case of cycle graphs in the dynamic case, where weights are created during
    the algorithm’s execution. For this case, the only known upper bound is of \U0001D4AA(n
    log n), following from a majorization argument due to [Peres et al., 2015], which
    analyzes a related graphical allocation process. In this paper, we provide an
    upper bound of \U0001D4AA (√n log n) on the expected gap of the above process
    for cycles of length n. We introduce a new potential analysis technique, which
    enables us to bound the difference in load between k-hop neighbors on the cycle,
    for any k ≤ n/2. We complement this with a \"gap covering\" argument, which bounds
    the maximum value of the gap by bounding its value across all possible subsets
    of a certain structure, and recursively bounding the gaps within each subset.
    We provide analytical and experimental evidence that our upper bound on the gap
    is tight up to a logarithmic factor. "
acknowledgement: The authors sincerely thank Thomas Sauerwald and George Giakkoupis
  for insightful discussions, and Mohsen Ghaffari, Yuval Peres, and Udi Wieder for
  feedback on earlier versions of this draft. We also thank the ICALP anonymous reviewers
  for their very useful comments. Open access funding provided by Institute of Science
  and Technology (IST Austria). Funding was provided by European Research Council
  (Grant No. PR1042ERC01).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
- first_name: Giorgi
  full_name: Nadiradze, Giorgi
  id: 3279A00C-F248-11E8-B48F-1D18A9856A87
  last_name: Nadiradze
  orcid: 0000-0001-5634-0731
- first_name: Amirmojtaba
  full_name: Sabour, Amirmojtaba
  id: bcc145fd-e77f-11ea-ae8b-80d661dbff67
  last_name: Sabour
citation:
  ama: Alistarh D-A, Nadiradze G, Sabour A. Dynamic averaging load balancing on cycles.
    <i>Algorithmica</i>. 2022;84(4):1007-1029. doi:<a href="https://doi.org/10.1007/s00453-021-00905-9">10.1007/s00453-021-00905-9</a>
  apa: 'Alistarh, D.-A., Nadiradze, G., &#38; Sabour, A. (2022). Dynamic averaging
    load balancing on cycles. <i>Algorithmica</i>. Virtual, Online; Germany: Springer
    Nature. <a href="https://doi.org/10.1007/s00453-021-00905-9">https://doi.org/10.1007/s00453-021-00905-9</a>'
  chicago: Alistarh, Dan-Adrian, Giorgi Nadiradze, and Amirmojtaba Sabour. “Dynamic
    Averaging Load Balancing on Cycles.” <i>Algorithmica</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s00453-021-00905-9">https://doi.org/10.1007/s00453-021-00905-9</a>.
  ieee: D.-A. Alistarh, G. Nadiradze, and A. Sabour, “Dynamic averaging load balancing
    on cycles,” <i>Algorithmica</i>, vol. 84, no. 4. Springer Nature, pp. 1007–1029,
    2022.
  ista: Alistarh D-A, Nadiradze G, Sabour A. 2022. Dynamic averaging load balancing
    on cycles. Algorithmica. 84(4), 1007–1029.
  mla: Alistarh, Dan-Adrian, et al. “Dynamic Averaging Load Balancing on Cycles.”
    <i>Algorithmica</i>, vol. 84, no. 4, Springer Nature, 2022, pp. 1007–29, doi:<a
    href="https://doi.org/10.1007/s00453-021-00905-9">10.1007/s00453-021-00905-9</a>.
  short: D.-A. Alistarh, G. Nadiradze, A. Sabour, Algorithmica 84 (2022) 1007–1029.
conference:
  end_date: 2020-07-11
  location: Virtual, Online; Germany
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2020-07-08
date_created: 2020-08-24T06:24:04Z
date_published: 2022-04-01T00:00:00Z
date_updated: 2025-07-10T11:55:11Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.1007/s00453-021-00905-9
ec_funded: 1
external_id:
  arxiv:
  - '2003.09297'
  isi:
  - '000734004600001'
file:
- access_level: open_access
  checksum: 21169b25b0c8e17b21e12af22bff9870
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-12-27T10:36:40Z
  date_updated: 2021-12-27T10:36:40Z
  file_id: '10577'
  file_name: 2021_Algorithmica_Alistarh.pdf
  file_size: 525950
  relation: main_file
  success: 1
file_date_updated: 2021-12-27T10:36:40Z
has_accepted_license: '1'
intvolume: '        84'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1007-1029
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Algorithmica
publication_identifier:
  eissn:
  - 1432-0541
  issn:
  - 0178-4617
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: earlier_version
    url: https://doi.org/10.4230/LIPIcs.ICALP.2020.7
  record:
  - id: '15077'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Dynamic averaging load balancing on cycles
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: 84
year: '2022'
...
---
_id: '8538'
abstract:
- lang: eng
  text: We prove some recent experimental observations of Dan Reznik concerning periodic
    billiard orbits in ellipses. For example, the sum of cosines of the angles of
    a periodic billiard polygon remains constant in the 1-parameter family of such
    polygons (that exist due to the Poncelet porism). In our proofs, we use geometric
    and complex analytic methods.
acknowledgement: " This paper would not be written if not for Dan Reznik’s curiosity
  and persistence; we are very grateful to him. We also thank R. Garcia and J. Koiller
  for interesting discussions. It is a pleasure to thank the Mathematical Institute
  of the University of Heidelberg for its stimulating atmosphere. ST thanks M. Bialy
  for interesting discussions and the Tel Aviv\r\nUniversity for its invariable hospitality.
  AA was supported by European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation programme (grant agreement No 78818 Alpha). RS is supported
  by NSF Grant DMS-1807320. ST was supported by NSF grant DMS-1510055 and SFB/TRR
  191."
article_processing_charge: No
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: Richard
  full_name: Schwartz, Richard
  last_name: Schwartz
- first_name: Serge
  full_name: Tabachnikov, Serge
  last_name: Tabachnikov
citation:
  ama: Akopyan A, Schwartz R, Tabachnikov S. Billiards in ellipses revisited. <i>European
    Journal of Mathematics</i>. 2022;8(4):1313-1327. doi:<a href="https://doi.org/10.1007/s40879-020-00426-9">10.1007/s40879-020-00426-9</a>
  apa: Akopyan, A., Schwartz, R., &#38; Tabachnikov, S. (2022). Billiards in ellipses
    revisited. <i>European Journal of Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s40879-020-00426-9">https://doi.org/10.1007/s40879-020-00426-9</a>
  chicago: Akopyan, Arseniy, Richard Schwartz, and Serge Tabachnikov. “Billiards in
    Ellipses Revisited.” <i>European Journal of Mathematics</i>. Springer Nature,
    2022. <a href="https://doi.org/10.1007/s40879-020-00426-9">https://doi.org/10.1007/s40879-020-00426-9</a>.
  ieee: A. Akopyan, R. Schwartz, and S. Tabachnikov, “Billiards in ellipses revisited,”
    <i>European Journal of Mathematics</i>, vol. 8, no. 4. Springer Nature, pp. 1313–1327,
    2022.
  ista: Akopyan A, Schwartz R, Tabachnikov S. 2022. Billiards in ellipses revisited.
    European Journal of Mathematics. 8(4), 1313–1327.
  mla: Akopyan, Arseniy, et al. “Billiards in Ellipses Revisited.” <i>European Journal
    of Mathematics</i>, vol. 8, no. 4, Springer Nature, 2022, pp. 1313–27, doi:<a
    href="https://doi.org/10.1007/s40879-020-00426-9">10.1007/s40879-020-00426-9</a>.
  short: A. Akopyan, R. Schwartz, S. Tabachnikov, European Journal of Mathematics
    8 (2022) 1313–1327.
date_created: 2020-09-20T22:01:38Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2025-04-14T07:48:34Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s40879-020-00426-9
ec_funded: 1
external_id:
  arxiv:
  - '2001.02934'
intvolume: '         8'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2001.02934
month: '12'
oa: 1
oa_version: Preprint
page: 1313-1327
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
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: Billiards in ellipses revisited
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 8
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.
corr_author: '1'
date_created: 2021-02-25T09:56:57Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2025-04-14T09:25:44Z
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: 2026-04-07T12:31:21Z
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'
related_material:
  record:
  - id: '20234'
    relation: dissertation_contains
    status: public
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: '9336'
abstract:
- lang: eng
  text: Mentorship is experience and/or knowledge‐based guidance. Mentors support,
    sponsor and advocate for mentees. Having one or more mentors when you seek advice
    can significantly influence and improve your research endeavours, well‐being and
    career development. Positive mentee–mentor relationships are vital for maintaining
    work–life balance and success in careers. Early‐career researchers (ECRs), in
    particular, can benefit from mentorship to navigate challenges in academic and
    nonacademic life and careers. Yet, strategies for selecting mentors and maintaining
    interactions with them are often underdiscussed within research environments.
    In this Words of Advice, we provide recommendations for ECRs to seek and manage
    mentorship interactions. Our article draws from our experiences as ECRs and published
    work, to provide suggestions for mentees to proactively promote beneficial mentorship
    interactions. The recommended practices highlight the importance of identifying
    mentorship needs, planning and selecting multiple and diverse mentors, setting
    goals, and maintaining constructive, and mutually beneficial working relationships
    with mentors.
acknowledgement: The authors thank Nicholas Asby of the University of Chicago for
  valuable comments on an earlier version of this work. A.P.S. was partially supported
  by the NARSAD Young Investigator Grant 27705. S.J.H was supported by the National
  Institutes of Health grant R35GM133732.
alternative_title:
- Words of Advice
article_processing_charge: No
article_type: original
author:
- first_name: Sarvenaz
  full_name: Sarabipour, Sarvenaz
  last_name: Sarabipour
- first_name: Sarah J.
  full_name: Hainer, Sarah J.
  last_name: Hainer
- first_name: Feyza N
  full_name: Arslan, Feyza N
  id: 49DA7910-F248-11E8-B48F-1D18A9856A87
  last_name: Arslan
  orcid: 0000-0001-5809-9566
- first_name: Charlotte M.
  full_name: De Winde, Charlotte M.
  last_name: De Winde
- first_name: Emily
  full_name: Furlong, Emily
  last_name: Furlong
- first_name: Natalia
  full_name: Bielczyk, Natalia
  last_name: Bielczyk
- first_name: Nafisa M.
  full_name: Jadavji, Nafisa M.
  last_name: Jadavji
- first_name: Aparna P.
  full_name: Shah, Aparna P.
  last_name: Shah
- first_name: Sejal
  full_name: Davla, Sejal
  last_name: Davla
citation:
  ama: Sarabipour S, Hainer SJ, Arslan FN, et al. Building and sustaining mentor interactions
    as a mentee. <i>FEBS Journal</i>. 2022;289(6):1374-1384. doi:<a href="https://doi.org/10.1111/febs.15823">10.1111/febs.15823</a>
  apa: Sarabipour, S., Hainer, S. J., Arslan, F. N., De Winde, C. M., Furlong, E.,
    Bielczyk, N., … Davla, S. (2022). Building and sustaining mentor interactions
    as a mentee. <i>FEBS Journal</i>. Wiley. <a href="https://doi.org/10.1111/febs.15823">https://doi.org/10.1111/febs.15823</a>
  chicago: Sarabipour, Sarvenaz, Sarah J. Hainer, Feyza N Arslan, Charlotte M. De
    Winde, Emily Furlong, Natalia Bielczyk, Nafisa M. Jadavji, Aparna P. Shah, and
    Sejal Davla. “Building and Sustaining Mentor Interactions as a Mentee.” <i>FEBS
    Journal</i>. Wiley, 2022. <a href="https://doi.org/10.1111/febs.15823">https://doi.org/10.1111/febs.15823</a>.
  ieee: S. Sarabipour <i>et al.</i>, “Building and sustaining mentor interactions
    as a mentee,” <i>FEBS Journal</i>, vol. 289, no. 6. Wiley, pp. 1374–1384, 2022.
  ista: Sarabipour S, Hainer SJ, Arslan FN, De Winde CM, Furlong E, Bielczyk N, Jadavji
    NM, Shah AP, Davla S. 2022. Building and sustaining mentor interactions as a mentee.
    FEBS Journal. 289(6), 1374–1384.
  mla: Sarabipour, Sarvenaz, et al. “Building and Sustaining Mentor Interactions as
    a Mentee.” <i>FEBS Journal</i>, vol. 289, no. 6, Wiley, 2022, pp. 1374–84, doi:<a
    href="https://doi.org/10.1111/febs.15823">10.1111/febs.15823</a>.
  short: S. Sarabipour, S.J. Hainer, F.N. Arslan, C.M. De Winde, E. Furlong, N. Bielczyk,
    N.M. Jadavji, A.P. Shah, S. Davla, FEBS Journal 289 (2022) 1374–1384.
date_created: 2021-04-18T22:01:43Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2026-06-18T19:47:28Z
day: '01'
ddc:
- '570'
department:
- _id: CaHe
doi: 10.1111/febs.15823
external_id:
  isi:
  - '000636678800001'
  pmid:
  - '33818917'
intvolume: '       289'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1111/febs.15823
month: '03'
oa: 1
oa_version: Published Version
page: 1374-1384
pmid: 1
publication: FEBS Journal
publication_identifier:
  eissn:
  - 1742-4658
  issn:
  - 1742-464X
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Building and sustaining mentor interactions as a mentee
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 289
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: '9365'
abstract:
- lang: eng
  text: In this paper, we propose a new iterative method with alternated inertial
    step for solving split common null point problem in real Hilbert spaces. We obtain
    weak convergence of the proposed iterative algorithm. Furthermore, we introduce
    the notion of bounded linear regularity property for the split common null point
    problem and obtain the linear convergence property for the new algorithm under
    some mild assumptions. Finally, we provide some numerical examples to demonstrate
    the performance and efficiency of the proposed method.
acknowledgement: The second 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
author:
- first_name: Ferdinard U.
  full_name: Ogbuisi, Ferdinard U.
  last_name: Ogbuisi
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
- first_name: Jen Chih
  full_name: Yao, Jen Chih
  last_name: Yao
citation:
  ama: Ogbuisi FU, Shehu Y, Yao JC. Convergence analysis of new inertial method for
    the split common null point problem. <i>Optimization</i>. 2022;71(13):3767-3795.
    doi:<a href="https://doi.org/10.1080/02331934.2021.1914035">10.1080/02331934.2021.1914035</a>
  apa: Ogbuisi, F. U., Shehu, Y., &#38; Yao, J. C. (2022). Convergence analysis of
    new inertial method for the split common null point problem. <i>Optimization</i>.
    Taylor and Francis. <a href="https://doi.org/10.1080/02331934.2021.1914035">https://doi.org/10.1080/02331934.2021.1914035</a>
  chicago: Ogbuisi, Ferdinard U., Yekini Shehu, and Jen Chih Yao. “Convergence Analysis
    of New Inertial Method for the Split Common Null Point Problem.” <i>Optimization</i>.
    Taylor and Francis, 2022. <a href="https://doi.org/10.1080/02331934.2021.1914035">https://doi.org/10.1080/02331934.2021.1914035</a>.
  ieee: F. U. Ogbuisi, Y. Shehu, and J. C. Yao, “Convergence analysis of new inertial
    method for the split common null point problem,” <i>Optimization</i>, vol. 71,
    no. 13. Taylor and Francis, pp. 3767–3795, 2022.
  ista: Ogbuisi FU, Shehu Y, Yao JC. 2022. Convergence analysis of new inertial method
    for the split common null point problem. Optimization. 71(13), 3767–3795.
  mla: Ogbuisi, Ferdinard U., et al. “Convergence Analysis of New Inertial Method
    for the Split Common Null Point Problem.” <i>Optimization</i>, vol. 71, no. 13,
    Taylor and Francis, 2022, pp. 3767–95, doi:<a href="https://doi.org/10.1080/02331934.2021.1914035">10.1080/02331934.2021.1914035</a>.
  short: F.U. Ogbuisi, Y. Shehu, J.C. Yao, Optimization 71 (2022) 3767–3795.
date_created: 2021-05-02T22:01:29Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2024-11-04T13:52:36Z
day: '01'
department:
- _id: VlKo
doi: 10.1080/02331934.2021.1914035
ec_funded: 1
external_id:
  isi:
  - '000640109300001'
intvolume: '        71'
isi: 1
issue: '13'
language:
- iso: eng
month: '11'
oa_version: None
page: 3767-3795
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Optimization
publication_identifier:
  eissn:
  - 1029-4945
  issn:
  - 0233-1934
publication_status: published
publisher: Taylor and Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence analysis of new inertial method for the split common null point
  problem
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 71
year: '2022'
...
---
_id: '9469'
abstract:
- lang: eng
  text: In this paper, we consider reflected three-operator splitting methods for
    monotone inclusion problems in real Hilbert spaces. To do this, we first obtain
    weak convergence analysis and nonasymptotic O(1/n) convergence rate of the reflected
    Krasnosel'skiĭ-Mann iteration for finding a fixed point of nonexpansive mapping
    in real Hilbert spaces under some seemingly easy to implement conditions on the
    iterative parameters. We then apply our results to three-operator splitting for
    the monotone inclusion problem and consequently obtain the corresponding convergence
    analysis. Furthermore, we derive reflected primal-dual algorithms for highly structured
    monotone inclusion problems. Some numerical implementations are drawn from splitting
    methods to support the theoretical analysis.
acknowledgement: The authors are grateful to the anonymous referees and the handling
  Editor for their insightful comments which have improved the earlier version of
  the manuscript greatly. The second author is grateful to the University of Hafr
  Al Batin. The last 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
author:
- first_name: Olaniyi S.
  full_name: Iyiola, Olaniyi S.
  last_name: Iyiola
- first_name: Cyril D.
  full_name: Enyi, Cyril D.
  last_name: Enyi
- first_name: Yekini
  full_name: Shehu, Yekini
  id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87
  last_name: Shehu
  orcid: 0000-0001-9224-7139
citation:
  ama: Iyiola OS, Enyi CD, Shehu Y. Reflected three-operator splitting method for
    monotone inclusion problem. <i>Optimization Methods and Software</i>. 2022;37(4):1527-1565.
    doi:<a href="https://doi.org/10.1080/10556788.2021.1924715">10.1080/10556788.2021.1924715</a>
  apa: Iyiola, O. S., Enyi, C. D., &#38; Shehu, Y. (2022). Reflected three-operator
    splitting method for monotone inclusion problem. <i>Optimization Methods and Software</i>.
    Taylor and Francis. <a href="https://doi.org/10.1080/10556788.2021.1924715">https://doi.org/10.1080/10556788.2021.1924715</a>
  chicago: Iyiola, Olaniyi S., Cyril D. Enyi, and Yekini Shehu. “Reflected Three-Operator
    Splitting Method for Monotone Inclusion Problem.” <i>Optimization Methods and
    Software</i>. Taylor and Francis, 2022. <a href="https://doi.org/10.1080/10556788.2021.1924715">https://doi.org/10.1080/10556788.2021.1924715</a>.
  ieee: O. S. Iyiola, C. D. Enyi, and Y. Shehu, “Reflected three-operator splitting
    method for monotone inclusion problem,” <i>Optimization Methods and Software</i>,
    vol. 37, no. 4. Taylor and Francis, pp. 1527–1565, 2022.
  ista: Iyiola OS, Enyi CD, Shehu Y. 2022. Reflected three-operator splitting method
    for monotone inclusion problem. Optimization Methods and Software. 37(4), 1527–1565.
  mla: Iyiola, Olaniyi S., et al. “Reflected Three-Operator Splitting Method for Monotone
    Inclusion Problem.” <i>Optimization Methods and Software</i>, vol. 37, no. 4,
    Taylor and Francis, 2022, pp. 1527–65, doi:<a href="https://doi.org/10.1080/10556788.2021.1924715">10.1080/10556788.2021.1924715</a>.
  short: O.S. Iyiola, C.D. Enyi, Y. Shehu, Optimization Methods and Software 37 (2022)
    1527–1565.
corr_author: '1'
date_created: 2021-06-06T22:01:30Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2024-11-04T13:52:36Z
day: '01'
department:
- _id: VlKo
doi: 10.1080/10556788.2021.1924715
ec_funded: 1
external_id:
  isi:
  - '000650507600001'
intvolume: '        37'
isi: 1
issue: '4'
language:
- iso: eng
month: '07'
oa_version: None
page: 1527-1565
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication: Optimization Methods and Software
publication_identifier:
  eissn:
  - 1029-4937
  issn:
  - 1055-6788
publication_status: published
publisher: Taylor and Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reflected three-operator splitting method for monotone inclusion problem
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 37
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.
corr_author: '1'
date_created: 2021-07-14T06:44:53Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2025-04-22T13:45:18Z
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
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  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: '01'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '2022'
...
---
_id: '9695'
abstract:
- lang: eng
  text: Real-world data typically contain a large number of features that are often
    heterogeneous in nature, relevance, and also units of measure. When assessing
    the similarity between data points, one can build various distance measures using
    subsets of these features. Using the fewest features but still retaining sufficient
    information about the system is crucial in many statistical learning approaches,
    particularly when data are sparse. We introduce a statistical test that can assess
    the relative information retained when using two different distance measures,
    and determine if they are equivalent, independent, or if one is more informative
    than the other. This in turn allows finding the most informative distance measure
    out of a pool of candidates. The approach is applied to find the most relevant
    policy variables for controlling the Covid-19 epidemic and to find compact yet
    informative representations of atomic structures, but its potential applications
    are wide ranging in many branches of science.
acknowledgement: "A.G., C.Z., and A.L. gratefully acknowledge support from the European
  Union’s Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials
  design at the eXascale’ Centre of Excellence). The authors would like to thank M.
  Carli, D. Doimo, and I. Macocco (SISSA) for the discussions, M. Caro (Aalto University)
  for the precious help in using the TurboGap code, and D. Frenkel (University of
  Cambridge) and N. Bernstein (US Naval Research Laboratory) for useful feedback on
  the manuscript.\r\nThis work is supported in part by funds from the European Union’s
  Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials
  design at the eXascale’ Centre of Excellence)."
article_number: pgac039
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Aldo
  full_name: Glielmo, Aldo
  last_name: Glielmo
- first_name: Claudio
  full_name: Zeni, Claudio
  last_name: Zeni
- first_name: Bingqing
  full_name: Cheng, Bingqing
  id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9
  last_name: Cheng
  orcid: 0000-0002-3584-9632
- first_name: Gabor
  full_name: Csanyi, Gabor
  last_name: Csanyi
- first_name: Alessandro
  full_name: Laio, Alessandro
  last_name: Laio
citation:
  ama: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. Ranking the information content
    of distance measures. <i>PNAS Nexus</i>. 2022;1(2). doi:<a href="https://doi.org/10.1093/pnasnexus/pgac039">10.1093/pnasnexus/pgac039</a>
  apa: Glielmo, A., Zeni, C., Cheng, B., Csanyi, G., &#38; Laio, A. (2022). Ranking
    the information content of distance measures. <i>PNAS Nexus</i>. Oxford University
    Press. <a href="https://doi.org/10.1093/pnasnexus/pgac039">https://doi.org/10.1093/pnasnexus/pgac039</a>
  chicago: Glielmo, Aldo, Claudio Zeni, Bingqing Cheng, Gabor Csanyi, and Alessandro
    Laio. “Ranking the Information Content of Distance Measures.” <i>PNAS Nexus</i>.
    Oxford University Press, 2022. <a href="https://doi.org/10.1093/pnasnexus/pgac039">https://doi.org/10.1093/pnasnexus/pgac039</a>.
  ieee: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, and A. Laio, “Ranking the information
    content of distance measures,” <i>PNAS Nexus</i>, vol. 1, no. 2. Oxford University
    Press, 2022.
  ista: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. 2022. Ranking the information
    content of distance measures. PNAS Nexus. 1(2), pgac039.
  mla: Glielmo, Aldo, et al. “Ranking the Information Content of Distance Measures.”
    <i>PNAS Nexus</i>, vol. 1, no. 2, pgac039, Oxford University Press, 2022, doi:<a
    href="https://doi.org/10.1093/pnasnexus/pgac039">10.1093/pnasnexus/pgac039</a>.
  short: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, A. Laio, PNAS Nexus 1 (2022).
date_created: 2021-07-20T06:31:53Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2025-06-12T06:23:20Z
day: '01'
ddc:
- '000'
department:
- _id: BiCh
doi: 10.1093/pnasnexus/pgac039
external_id:
  arxiv:
  - '2104.15079'
  pmid:
  - '36713323'
file:
- access_level: open_access
  checksum: f6552854d760eb574ce97abce2c8ef89
  content_type: application/pdf
  creator: dernst
  date_created: 2024-05-29T06:21:33Z
  date_updated: 2024-05-29T06:21:33Z
  file_id: '17080'
  file_name: 2022_PNASNexus_Glielmo.pdf
  file_size: 2005167
  relation: main_file
  success: 1
file_date_updated: 2024-05-29T06:21:33Z
has_accepted_license: '1'
intvolume: '         1'
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '05'
oa: 1
oa_version: Published Version
pmid: 1
publication: PNAS Nexus
publication_identifier:
  eissn:
  - 2752-6542
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ranking the information content of distance measures
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 1
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.
corr_author: '1'
date_created: 2021-08-06T09:09:11Z
date_published: 2022-07-11T00:00:00Z
date_updated: 2025-06-11T13:52:43Z
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'
  pmid:
  - '35817845'
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
pmid: 1
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2022'
...
---
_id: '9955'
abstract:
- lang: eng
  text: Neurons can change their classical neurotransmitters during ontogeny, sometimes
    going through stages of dual release. Here, we explored the development of the
    neurotransmitter identity of neurons of the avian nucleus isthmi parvocellularis
    (Ipc), whose axon terminals are retinotopically arranged in the optic tectum (TeO)
    and exert a focal gating effect upon the ascending transmission of retinal inputs.
    Although cholinergic and glutamatergic markers are both found in Ipc neurons and
    terminals of adult pigeons and chicks, the mRNA expression of the vesicular acetylcholine
    transporter, VAChT, is weak or absent. To explore how the Ipc neurotransmitter
    identity is established during ontogeny, we analyzed the expression of mRNAs coding
    for cholinergic (ChAT, VAChT, and CHT) and glutamatergic (VGluT2 and VGluT3) markers
    in chick embryos at different developmental stages. We found that between E12
    and E18, Ipc neurons expressed all cholinergic mRNAs and also VGluT2 mRNA; however,
    from E16 through posthatch stages, VAChT mRNA expression was specifically diminished.
    Our ex vivo deposits of tracer crystals and intracellular filling experiments
    revealed that Ipc axons exhibit a mature paintbrush morphology late in development,
    experiencing marked morphological transformations during the period of presumptive
    dual vesicular transmitter release. Additionally, although ChAT protein immunoassays
    increasingly label the growing Ipc axon, this labeling was consistently restricted
    to sparse portions of the terminal branches. Combined, these results suggest that
    the synthesis of glutamate and acetylcholine, and their vesicular release, is
    complexly linked to the developmental processes of branching, growing and remodeling
    of these unique axons.
acknowledgement: 'This work was supported by FONDECYT grants 1151432 and 1210169 to
  Gonzalo J. Marín. FONDECYT grant 1210069 to Jorge Mpodozis. Spanish Ministry of
  Science, Innovation and Universities (MCIU), State Research Agency (AEI) and European
  Regional Development Fund (FEDER), PGC2018-098229-B-100 to José L Ferrán. Spanish
  Ministry of Economy and Competitiveness Excellency Grant BFU2014-57516P (with European
  Community FEDER support), and a Seneca Foundation (Autonomous Community of Murcia)
  Excellency Research contract, ref: 19904/ GERM/15; project name: Genoarchitectonic
  Brain Development and Applications to Neurodegenerative Diseases and Cancer (5672
  Fundación Séneca) to Luis Puelles. The authors gratefully acknowledge the valuable
  editorial help provided by Sara Fernández-Collemann. The authors also thank Elisa
  Sentis and Solano Henríquez for expert technical help.'
article_processing_charge: No
article_type: original
author:
- first_name: Rosana
  full_name: Reyes‐Pinto, Rosana
  last_name: Reyes‐Pinto
- first_name: José L.
  full_name: Ferrán, José L.
  last_name: Ferrán
- first_name: Tomas A
  full_name: Vega Zuniga, Tomas A
  id: 2E7C4E78-F248-11E8-B48F-1D18A9856A87
  last_name: Vega Zuniga
- first_name: Cristian
  full_name: González‐Cabrera, Cristian
  last_name: González‐Cabrera
- first_name: Harald
  full_name: Luksch, Harald
  last_name: Luksch
- first_name: Jorge
  full_name: Mpodozis, Jorge
  last_name: Mpodozis
- first_name: Luis
  full_name: Puelles, Luis
  last_name: Puelles
- first_name: Gonzalo J.
  full_name: Marín, Gonzalo J.
  last_name: Marín
citation:
  ama: Reyes‐Pinto R, Ferrán JL, Vega Zuniga TA, et al. Change in the neurochemical
    signature and morphological development of the parvocellular isthmic projection
    to the avian tectum. <i>Journal of Comparative Neurology</i>. 2022;530(2):553-573.
    doi:<a href="https://doi.org/10.1002/cne.25229">10.1002/cne.25229</a>
  apa: Reyes‐Pinto, R., Ferrán, J. L., Vega Zuniga, T. A., González‐Cabrera, C., Luksch,
    H., Mpodozis, J., … Marín, G. J. (2022). Change in the neurochemical signature
    and morphological development of the parvocellular isthmic projection to the avian
    tectum. <i>Journal of Comparative Neurology</i>. Wiley. <a href="https://doi.org/10.1002/cne.25229">https://doi.org/10.1002/cne.25229</a>
  chicago: Reyes‐Pinto, Rosana, José L. Ferrán, Tomas A Vega Zuniga, Cristian González‐Cabrera,
    Harald Luksch, Jorge Mpodozis, Luis Puelles, and Gonzalo J. Marín. “Change in
    the Neurochemical Signature and Morphological Development of the Parvocellular
    Isthmic Projection to the Avian Tectum.” <i>Journal of Comparative Neurology</i>.
    Wiley, 2022. <a href="https://doi.org/10.1002/cne.25229">https://doi.org/10.1002/cne.25229</a>.
  ieee: R. Reyes‐Pinto <i>et al.</i>, “Change in the neurochemical signature and morphological
    development of the parvocellular isthmic projection to the avian tectum,” <i>Journal
    of Comparative Neurology</i>, vol. 530, no. 2. Wiley, pp. 553–573, 2022.
  ista: Reyes‐Pinto R, Ferrán JL, Vega Zuniga TA, González‐Cabrera C, Luksch H, Mpodozis
    J, Puelles L, Marín GJ. 2022. Change in the neurochemical signature and morphological
    development of the parvocellular isthmic projection to the avian tectum. Journal
    of Comparative Neurology. 530(2), 553–573.
  mla: Reyes‐Pinto, Rosana, et al. “Change in the Neurochemical Signature and Morphological
    Development of the Parvocellular Isthmic Projection to the Avian Tectum.” <i>Journal
    of Comparative Neurology</i>, vol. 530, no. 2, Wiley, 2022, pp. 553–73, doi:<a
    href="https://doi.org/10.1002/cne.25229">10.1002/cne.25229</a>.
  short: R. Reyes‐Pinto, J.L. Ferrán, T.A. Vega Zuniga, C. González‐Cabrera, H. Luksch,
    J. Mpodozis, L. Puelles, G.J. Marín, Journal of Comparative Neurology 530 (2022)
    553–573.
date_created: 2021-08-23T08:40:59Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-08-11T10:58:17Z
day: '01'
department:
- _id: MaJö
doi: 10.1002/cne.25229
external_id:
  isi:
  - '000686420000001'
  pmid:
  - '34363623'
intvolume: '       530'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa_version: None
page: 553-573
pmid: 1
publication: Journal of Comparative Neurology
publication_identifier:
  eissn:
  - 1096-9861
  issn:
  - 0021-9967
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Change in the neurochemical signature and morphological development of the
  parvocellular isthmic projection to the avian tectum
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 530
year: '2022'
...
---
_id: '9977'
abstract:
- lang: eng
  text: "For a Seifert fibered homology sphere X we show that the q-series invariant
    Zˆ0(X; q) introduced by Gukov-Pei-Putrov-Vafa, is a resummation of the Ohtsuki
    series Z0(X). We show that for every even k ∈ N there exists a full asymptotic
    expansion of Zˆ0(X; q) for q tending to e 2πi/k, and in particular that the limit
    Zˆ0(X; e 2πi/k) exists and is equal to the\r\nWRT quantum invariant τk(X). We
    show that the poles of the Borel transform of Z0(X) coincide with the classical
    complex Chern-Simons values, which we further show classifies the corresponding
    components of the moduli space of flat SL(2, C)-connections."
acknowledgement: "We warmly thank S. Gukov for valuable discussions on the GPPV invariant
  ̂Z\U0001D44E(\U0001D4403; \U0001D45E). The first\r\nauthor was supported in part
  by the center of excellence grant ‘Center for Quantum Geometry\r\nof Moduli Spaces’
  from the Danish National Research Foundation (DNRF95) and by the ERCSynergy\r\ngrant
  ‘ReNewQuantum’. The second author received funding from the European Union’s Horizon
  2020 research and innovation program under the Marie Skłodowska-Curie grant agreement
  no. 754411."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: William
  full_name: Mistegaard, William
  id: 41B03CD0-62AE-11E9-84EF-0718E6697425
  last_name: Mistegaard
- first_name: Jørgen Ellegaard
  full_name: Andersen, Jørgen Ellegaard
  last_name: Andersen
citation:
  ama: Mistegaard W, Andersen JE. Resurgence analysis of quantum invariants of Seifert
    fibered homology spheres. <i>Journal of the London Mathematical Society</i>. 2022;105(2):709-764.
    doi:<a href="https://doi.org/10.1112/jlms.12506">10.1112/jlms.12506</a>
  apa: Mistegaard, W., &#38; Andersen, J. E. (2022). Resurgence analysis of quantum
    invariants of Seifert fibered homology spheres. <i>Journal of the London Mathematical
    Society</i>. Wiley. <a href="https://doi.org/10.1112/jlms.12506">https://doi.org/10.1112/jlms.12506</a>
  chicago: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis
    of Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the
    London Mathematical Society</i>. Wiley, 2022. <a href="https://doi.org/10.1112/jlms.12506">https://doi.org/10.1112/jlms.12506</a>.
  ieee: W. Mistegaard and J. E. Andersen, “Resurgence analysis of quantum invariants
    of Seifert fibered homology spheres,” <i>Journal of the London Mathematical Society</i>,
    vol. 105, no. 2. Wiley, pp. 709–764, 2022.
  ista: Mistegaard W, Andersen JE. 2022. Resurgence analysis of quantum invariants
    of Seifert fibered homology spheres. Journal of the London Mathematical Society.
    105(2), 709–764.
  mla: Mistegaard, William, and Jørgen Ellegaard Andersen. “Resurgence Analysis of
    Quantum Invariants of Seifert Fibered Homology Spheres.” <i>Journal of the London
    Mathematical Society</i>, vol. 105, no. 2, Wiley, 2022, pp. 709–64, doi:<a href="https://doi.org/10.1112/jlms.12506">10.1112/jlms.12506</a>.
  short: W. Mistegaard, J.E. Andersen, Journal of the London Mathematical Society
    105 (2022) 709–764.
corr_author: '1'
date_created: 2021-08-31T12:51:40Z
date_published: 2022-03-01T00:00:00Z
date_updated: 2025-04-14T07:43:49Z
day: '01'
ddc:
- '510'
department:
- _id: TaHa
doi: 10.1112/jlms.12506
ec_funded: 1
external_id:
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  - '1811.05376'
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  - '000755205700001'
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month: '03'
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oa_version: Published Version
page: 709-764
project:
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  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Journal of the London Mathematical Society
publication_identifier:
  eissn:
  - 1469-7750
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Resurgence analysis of quantum invariants of Seifert fibered homology spheres
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
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...
---
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abstract:
- lang: eng
  text: We prove that multisoliton solutions of the Korteweg–de Vries equation are
    orbitally stable in H^-1(R). We introduce a variational characterization of multisolitons
    that remains meaningful at such low regularity and show that all optimizing sequences
    converge to the manifold of multisolitons. The proximity required at the initial
    time is uniform across the entire manifold of multisolitons; this had not been
    demonstrated previously, even in H^-1.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. <i>Communications
    in Mathematical Physics</i>. 2022;389(3):1445-1473. doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a>
  apa: Killip, R., &#38; Vişan, M. (2022). Orbital stability of KdV multisolitons
    in H-1. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a>
  chicago: Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons
    in H-1.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a>.
  ieee: R. Killip and M. Vişan, “Orbital stability of KdV multisolitons in H-1,” <i>Communications
    in Mathematical Physics</i>, vol. 389, no. 3. Springer Nature, pp. 1445–1473,
    2022.
  ista: Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications
    in Mathematical Physics. 389(3), 1445–1473.
  mla: Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in
    H-1.” <i>Communications in Mathematical Physics</i>, vol. 389, no. 3, Springer
    Nature, 2022, pp. 1445–73, doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a>.
  short: R. Killip, M. Vişan, Communications in Mathematical Physics 389 (2022) 1445–1473.
das_tickbox: '1'
date_created: 2026-06-19T07:46:39Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2026-06-25T07:41:51Z
day: '01'
doi: 10.1007/s00220-021-04280-y
extern: '1'
external_id:
  arxiv:
  - '2009.06746'
intvolume: '       389'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2009.06746
month: '02'
oa: 1
oa_version: Preprint
page: 1445-1473
publication: Communications in Mathematical Physics
publication_identifier:
  eissn:
  - 1432-0916
  issn:
  - 0010-3616
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Orbital stability of KdV multisolitons in H-1
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 389
year: '2022'
...
