---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21488'
abstract:
- lang: eng
  text: Human height is a model for the genetic analysis of complex traits, and recent
    studies suggest the presence of thousands of common genetic variant associations
    and hundreds of low-frequency/rare variants. Here, we develop a new algorithmic
    paradigm based on approximate message passing (genomic vector approximate message
    passing [gVAMP]) for identifying DNA sequence variants associated with complex
    traits and common diseases in large-scale whole-genome sequencing (WGS) data.
    We show that gVAMP accurately localizes associations to variants with the correct
    frequency and position in the DNA, outperforming existing fine-mapping methods
    in selecting the appropriate genetic variants within WGS data. We then apply gVAMP
    to jointly model the relationship of tens of millions of WGS variants with human
    height in hundreds of thousands of UK Biobank individuals. We identify 59 rare
    variants and gene burden scores alongside many hundreds of DNA regions containing
    common variant associations and show that understanding the genetic basis of complex
    traits will require the joint analysis of hundreds of millions of variables measured
    on millions of people. The polygenic risk scores obtained from gVAMP have high
    accuracy (including a prediction accuracy of ∼46% for human height) and outperform
    current methods for downstream tasks such as mixed linear model association testing
    across 13 UK Biobank traits. In conclusion, gVAMP offers a scalable foundation
    for a wider range of analyses in WGS data.
acknowledgement: We thank Malgorzata Borczyk for creating the gene burden scores.
  We thank Robin Beaumont, Amedeo Roberto Esposito, Gareth Hawkes, Philip Schniter,
  Matthew Stephens, Pragya Sur, Peter Visscher, Michael Weedon, and Harry Wright for
  providing valuable suggestions and comments on earlier versions of the work. This
  project was funded by a Lopez-Loreta Prize to M.M., an SNSF Eccellenza Grant to
  M.R.R. (PCEGP3-181181), an ERC Starting Grant to M.M. (INF2, project number 101161364),
  and core funding from ISTA. High-performance computing was supported by the Scientific
  Service Units (SSU) of ISTA through resources provided by Scientific Computing (SciComp).
  We would like to acknowledge the participants and investigators of the UK Biobank
  study. We gratefully acknowledge the All of Us participants for their contributions,
  without whom this research would not have been possible. We also thank the National
  Institutes of Health All of Us Research Program for making available the participant
  data (and/or samples and/or cohort) examined in this study.
article_number: '101162'
article_processing_charge: Yes
article_type: original
author:
- first_name: Al
  full_name: Depope, Al
  id: 0b77531d-dbcd-11ea-9d1d-a8eee0bf3830
  last_name: Depope
- first_name: Jakub
  full_name: Bajzik, Jakub
  id: b995e25b-8c4b-11ed-a6d8-f71b7bcd6122
  last_name: Bajzik
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Matthew Richard
  full_name: Robinson, Matthew Richard
  id: E5D42276-F5DA-11E9-8E24-6303E6697425
  last_name: Robinson
  orcid: 0000-0001-8982-8813
citation:
  ama: Depope A, Bajzik J, Mondelli M, Robinson MR. Joint modeling of whole-genome
    sequencing data for human height via approximate message passing. <i>Cell Genomics</i>.
    2026. doi:<a href="https://doi.org/10.1016/j.xgen.2026.101162">10.1016/j.xgen.2026.101162</a>
  apa: Depope, A., Bajzik, J., Mondelli, M., &#38; Robinson, M. R. (2026). Joint modeling
    of whole-genome sequencing data for human height via approximate message passing.
    <i>Cell Genomics</i>. Elsevier. <a href="https://doi.org/10.1016/j.xgen.2026.101162">https://doi.org/10.1016/j.xgen.2026.101162</a>
  chicago: Depope, Al, Jakub Bajzik, Marco Mondelli, and Matthew Richard Robinson.
    “Joint Modeling of Whole-Genome Sequencing Data for Human Height via Approximate
    Message Passing.” <i>Cell Genomics</i>. Elsevier, 2026. <a href="https://doi.org/10.1016/j.xgen.2026.101162">https://doi.org/10.1016/j.xgen.2026.101162</a>.
  ieee: A. Depope, J. Bajzik, M. Mondelli, and M. R. Robinson, “Joint modeling of
    whole-genome sequencing data for human height via approximate message passing,”
    <i>Cell Genomics</i>. Elsevier, 2026.
  ista: Depope A, Bajzik J, Mondelli M, Robinson MR. 2026. Joint modeling of whole-genome
    sequencing data for human height via approximate message passing. Cell Genomics.,
    101162.
  mla: Depope, Al, et al. “Joint Modeling of Whole-Genome Sequencing Data for Human
    Height via Approximate Message Passing.” <i>Cell Genomics</i>, 101162, Elsevier,
    2026, doi:<a href="https://doi.org/10.1016/j.xgen.2026.101162">10.1016/j.xgen.2026.101162</a>.
  short: A. Depope, J. Bajzik, M. Mondelli, M.R. Robinson, Cell Genomics (2026).
corr_author: '1'
date_created: 2026-03-23T15:10:03Z
date_published: 2026-02-18T00:00:00Z
date_updated: 2026-04-28T12:08:37Z
day: '18'
ddc:
- '000'
- '570'
department:
- _id: MaMo
- _id: MaRo
doi: 10.1016/j.xgen.2026.101162
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.xgen.2026.101162
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
- _id: 9B8D11D6-BA93-11EA-9121-9846C619BF3A
  grant_number: PCEGP3_181181
  name: Improving estimation and prediction of common complex disease risk
publication: Cell Genomics
publication_identifier:
  eissn:
  - 2666-979X
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
related_material:
  link:
  - description: News on ISTA website
    relation: press_release
    url: https://ista.ac.at/en/news/big-data-and-human-height/
status: public
title: Joint modeling of whole-genome sequencing data for human height via approximate
  message passing
tmp:
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  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: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2026'
...
---
OA_place: publisher
OA_type: diamond
_id: '20033'
abstract:
- lang: eng
  text: 'A growing number of machine learning scenarios rely on knowledge distillation
    where one uses the output of a surrogate model as labels to supervise the training
    of a target model. In this work, we provide a sharp characterization of this process
    for ridgeless, high-dimensional regression, under two settings: (i) model shift,
    where the surrogate model is arbitrary, and (ii) distribution shift, where the
    surrogate model is the solution of empirical risk minimization with out-of-distribution
    data. In both cases, we characterize the precise risk of the target model through
    non-asymptotic bounds in terms of sample size and data distribution under mild
    conditions. As a consequence, we identify the form of the optimal surrogate model,
    which reveals the benefits and limitations of discarding weak features in a data-dependent
    fashion. In the context of weak-to-strong (W2S) generalization, this has the interpretation
    that (i) W2S training, with the surrogate as the weak model, can provably outperform
    training with strong labels under the same data budget, but (ii) it is unable
    to improve the data scaling law. We validate our results on numerical experiments
    both on ridgeless regression and on neural network architectures.'
acknowledgement: M.E.I., H.A.G., E.O.T., S.O. are supported by the NSF grants CCF-2046816,
  CCF-2403075, the Office of Naval Research grant N000142412289, an OpenAI Agentic
  AI Systems grant, and gifts by Open Philanthropy and Google Research. M. M. is funded
  by the European Union (ERC, INF2, project number 101161364). Views and opinions
  expressed are however those of the author(s) only and do not necessarily reflect
  those of the European Union or the European Research Council Executive Agency. Neither
  the European Union nor the granting authority can be held responsible for them.
article_processing_charge: No
arxiv: 1
author:
- first_name: M.
  full_name: Emrullah Ildiz, M.
  last_name: Emrullah Ildiz
- first_name: Halil Alperen
  full_name: Gozeten, Halil Alperen
  last_name: Gozeten
- first_name: Ege Onur
  full_name: Taga, Ege Onur
  last_name: Taga
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Samet
  full_name: Oymak, Samet
  last_name: Oymak
citation:
  ama: 'Emrullah Ildiz M, Gozeten HA, Taga EO, Mondelli M, Oymak S. High-dimensional
    analysis of knowledge distillation: Weak-to-Strong generalization and scaling
    laws. In: <i>13th International Conference on Learning Representations</i>. ICLR;
    2025:2967-3006.'
  apa: 'Emrullah Ildiz, M., Gozeten, H. A., Taga, E. O., Mondelli, M., &#38; Oymak,
    S. (2025). High-dimensional analysis of knowledge distillation: Weak-to-Strong
    generalization and scaling laws. In <i>13th International Conference on Learning
    Representations</i> (pp. 2967–3006). Singapore, Singapore: ICLR.'
  chicago: 'Emrullah Ildiz, M., Halil Alperen Gozeten, Ege Onur Taga, Marco Mondelli,
    and Samet Oymak. “High-Dimensional Analysis of Knowledge Distillation: Weak-to-Strong
    Generalization and Scaling Laws.” In <i>13th International Conference on Learning
    Representations</i>, 2967–3006. ICLR, 2025.'
  ieee: 'M. Emrullah Ildiz, H. A. Gozeten, E. O. Taga, M. Mondelli, and S. Oymak,
    “High-dimensional analysis of knowledge distillation: Weak-to-Strong generalization
    and scaling laws,” in <i>13th International Conference on Learning Representations</i>,
    Singapore, Singapore, 2025, pp. 2967–3006.'
  ista: 'Emrullah Ildiz M, Gozeten HA, Taga EO, Mondelli M, Oymak S. 2025. High-dimensional
    analysis of knowledge distillation: Weak-to-Strong generalization and scaling
    laws. 13th International Conference on Learning Representations. ICLR: International
    Conference on Learning Representations, 2967–3006.'
  mla: 'Emrullah Ildiz, M., et al. “High-Dimensional Analysis of Knowledge Distillation:
    Weak-to-Strong Generalization and Scaling Laws.” <i>13th International Conference
    on Learning Representations</i>, ICLR, 2025, pp. 2967–3006.'
  short: M. Emrullah Ildiz, H.A. Gozeten, E.O. Taga, M. Mondelli, S. Oymak, in:, 13th
    International Conference on Learning Representations, ICLR, 2025, pp. 2967–3006.
conference:
  end_date: 2025-04-28
  location: Singapore, Singapore
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2025-04-24
date_created: 2025-07-20T22:02:02Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-08-04T08:33:58Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2410.18837'
file:
- access_level: open_access
  checksum: 5a38b093ebb4ee4eb662ea142621a5ca
  content_type: application/pdf
  creator: dernst
  date_created: 2025-08-04T08:32:38Z
  date_updated: 2025-08-04T08:32:38Z
  file_id: '20112'
  file_name: 2025_ICLR_Ildiz.pdf
  file_size: 528171
  relation: main_file
  success: 1
file_date_updated: 2025-08-04T08:32:38Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 2967-3006
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: 13th International Conference on Learning Representations
publication_identifier:
  isbn:
  - '9798331320850'
publication_status: published
publisher: ICLR
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'High-dimensional analysis of knowledge distillation: Weak-to-Strong generalization
  and scaling laws'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20035'
abstract:
- lang: eng
  text: "Deep neural networks (DNNs) at convergence consistently represent the training
    data in the last layer via a geometric structure referred to as neural collapse.
    This empirical evidence has spurred a line of theoretical research aimed at proving
    the emergence of neural collapse, mostly focusing on the unconstrained features
    model. Here, the features of the penultimate layer are free variables, which makes
    the model data-agnostic and puts into question its ability to capture DNN training.
    Our work addresses the issue, moving away from unconstrained features and\r\nstudying
    DNNs that end with at least two linear layers. We first prove generic guarantees
    on neural collapse that assume (i) low training error and balancedness of linear
    layers (for within-class variability collapse), and (ii) bounded conditioning
    of the features before the linear part (for orthogonality of class-means, and
    their alignment with weight matrices). The balancedness refers to the fact that
    W⊤ℓ+1Wℓ+1 ≈ WℓW⊤ℓfor any pair of consecutive weight matrices of the linear part,
    and the bounded conditioning requires a well-behaved ratio between largest and
    smallest non-zero singular values of the features. We then show that such assumptions
    hold for gradient descent training with weight decay: (i) for networks with a
    wide first layer, we prove low training error and balancedness, and (ii) for solutions
    that are either nearly optimal or stable under large learning rates, we additionally
    prove the bounded conditioning. Taken together, our results are the first to show
    neural collapse in the end-to-end training of DNNs."
acknowledgement: M. M. and P. S. are funded by the European Union (ERC, INF2, project
  number 101161364). Views and opinions expressed are however those of the author(s)
  only and do not necessarily reflect those of the European Union or the European
  Research Council Executive Agency. Neither the European Union nor the granting authority
  can be held responsible for them.
article_processing_charge: No
arxiv: 1
author:
- first_name: Arthur
  full_name: Jacot, Arthur
  last_name: Jacot
- first_name: Peter
  full_name: Súkeník, Peter
  id: d64d6a8d-eb8e-11eb-b029-96fd216dec3c
  last_name: Súkeník
- first_name: Zihan
  full_name: Wang, Zihan
  last_name: Wang
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Jacot A, Súkeník P, Wang Z, Mondelli M. Wide neural networks trained with
    weight decay provably exhibit neural collapse. In: <i>13th International Conference
    on Learning Representations</i>. ICLR; 2025:1905-1931.'
  apa: 'Jacot, A., Súkeník, P., Wang, Z., &#38; Mondelli, M. (2025). Wide neural networks
    trained with weight decay provably exhibit neural collapse. In <i>13th International
    Conference on Learning Representations</i> (pp. 1905–1931). Singapore, Singapore:
    ICLR.'
  chicago: Jacot, Arthur, Peter Súkeník, Zihan Wang, and Marco Mondelli. “Wide Neural
    Networks Trained with Weight Decay Provably Exhibit Neural Collapse.” In <i>13th
    International Conference on Learning Representations</i>, 1905–31. ICLR, 2025.
  ieee: A. Jacot, P. Súkeník, Z. Wang, and M. Mondelli, “Wide neural networks trained
    with weight decay provably exhibit neural collapse,” in <i>13th International
    Conference on Learning Representations</i>, Singapore, Singapore, 2025, pp. 1905–1931.
  ista: 'Jacot A, Súkeník P, Wang Z, Mondelli M. 2025. Wide neural networks trained
    with weight decay provably exhibit neural collapse. 13th International Conference
    on Learning Representations. ICLR: International Conference on Learning Representations,
    1905–1931.'
  mla: Jacot, Arthur, et al. “Wide Neural Networks Trained with Weight Decay Provably
    Exhibit Neural Collapse.” <i>13th International Conference on Learning Representations</i>,
    ICLR, 2025, pp. 1905–31.
  short: A. Jacot, P. Súkeník, Z. Wang, M. Mondelli, in:, 13th International Conference
    on Learning Representations, ICLR, 2025, pp. 1905–1931.
conference:
  end_date: 2025-04-28
  location: Singapore, Singapore
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2025-04-24
corr_author: '1'
date_created: 2025-07-20T22:02:02Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-08-04T08:47:00Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2410.04887'
file:
- access_level: open_access
  checksum: 59c48c173887139647cc9839c0801136
  content_type: application/pdf
  creator: dernst
  date_created: 2025-08-04T08:45:43Z
  date_updated: 2025-08-04T08:45:43Z
  file_id: '20114'
  file_name: 2025_ICLR_Jacot.pdf
  file_size: 1337236
  relation: main_file
  success: 1
file_date_updated: 2025-08-04T08:45:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 1905-1931
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: 13th International Conference on Learning Representations
publication_identifier:
  isbn:
  - '9798331320850'
publication_status: published
publisher: ICLR
quality_controlled: '1'
scopus_import: '1'
status: public
title: Wide neural networks trained with weight decay provably exhibit neural collapse
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20081'
abstract:
- lang: eng
  text: 'Information measures can be constructed from Rényi divergences much like
    mutual information from Kullback-Leibler divergence. One such information measure
    is known as Sibson α-mutual information and has received renewed attention recently
    in several contexts: concentration of measure under dependence, statistical learning,
    hypothesis testing, and estimation theory. In this paper, we survey and extend
    the state of the art. In particular, we introduce variational representations
    for Sibson α-mutual information and employ them in each described context to derive
    novel results. Namely, we produce generalized Transportation-Cost inequalities
    and Fano-type inequalities. We also present an overview of known applications,
    spanning from learning theory and Bayesian risk to universal prediction.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Amedeo Roberto
  full_name: Esposito, Amedeo Roberto
  id: 9583e921-e1ad-11ec-9862-cef099626dc9
  last_name: Esposito
- first_name: Michael
  full_name: Gastpar, Michael
  last_name: Gastpar
- first_name: Ibrahim
  full_name: Issa, Ibrahim
  last_name: Issa
citation:
  ama: Esposito AR, Gastpar M, Issa I. Sibson α-mutual information and its variational
    representations. <i>IEEE Transactions on Information Theory</i>. 2025. doi:<a
    href="https://doi.org/10.1109/TIT.2025.3587340">10.1109/TIT.2025.3587340</a>
  apa: Esposito, A. R., Gastpar, M., &#38; Issa, I. (2025). Sibson α-mutual information
    and its variational representations. <i>IEEE Transactions on Information Theory</i>.
    IEEE. <a href="https://doi.org/10.1109/TIT.2025.3587340">https://doi.org/10.1109/TIT.2025.3587340</a>
  chicago: Esposito, Amedeo Roberto, Michael Gastpar, and Ibrahim Issa. “Sibson α-Mutual
    Information and Its Variational Representations.” <i>IEEE Transactions on Information
    Theory</i>. IEEE, 2025. <a href="https://doi.org/10.1109/TIT.2025.3587340">https://doi.org/10.1109/TIT.2025.3587340</a>.
  ieee: A. R. Esposito, M. Gastpar, and I. Issa, “Sibson α-mutual information and
    its variational representations,” <i>IEEE Transactions on Information Theory</i>.
    IEEE, 2025.
  ista: Esposito AR, Gastpar M, Issa I. 2025. Sibson α-mutual information and its
    variational representations. IEEE Transactions on Information Theory.
  mla: Esposito, Amedeo Roberto, et al. “Sibson α-Mutual Information and Its Variational
    Representations.” <i>IEEE Transactions on Information Theory</i>, IEEE, 2025,
    doi:<a href="https://doi.org/10.1109/TIT.2025.3587340">10.1109/TIT.2025.3587340</a>.
  short: A.R. Esposito, M. Gastpar, I. Issa, IEEE Transactions on Information Theory
    (2025).
date_created: 2025-07-27T22:01:26Z
date_published: 2025-07-11T00:00:00Z
date_updated: 2026-02-16T11:49:40Z
day: '11'
department:
- _id: MaMo
doi: 10.1109/TIT.2025.3587340
external_id:
  arxiv:
  - '2405.08352'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2405.08352
month: '07'
oa: 1
oa_version: Preprint
publication: IEEE Transactions on Information Theory
publication_identifier:
  eissn:
  - 1557-9654
  issn:
  - 0018-9448
publication_status: epub_ahead
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sibson α-mutual information and its variational representations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20300'
abstract:
- lang: eng
  text: Simultaneously addressing multiple objectives is becoming increasingly important
    in modern machine learning. At the same time, data is often high-dimensional and
    costly to label. For a single objective such as prediction risk, conventional
    regularization techniques are known to improve generalization when the data exhibits
    low-dimensional structure like sparsity. However, it is largely unexplored how
    to leverage this structure in the context of multi-objective learning (MOL) with
    multiple competing objectives. In this work, we discuss how the application of
    vanilla regularization approaches can fail, and propose a two-stage MOL framework
    that can successfully leverage low-dimensional structure. We demonstrate its effectiveness
    experimentally for multi-distribution learning and fairness-risk trade-offs.
acknowledgement: "We thank Junhyung Park for valuable feedback on the manuscript.
  AT was supported by a PhD fellowship from the Swiss Data Science Center. TW was
  supported by the SNF Grant 204439. This work was done in part while TW and FY were
  visiting the Simons Institute for the Theory of\r\nComputing."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Tobias
  full_name: Wegel, Tobias
  last_name: Wegel
- first_name: Filip
  full_name: Kovačević, Filip
  id: d0258e7b-50b8-11ef-ad56-8b9f537b6b1b
  last_name: Kovačević
- first_name: Alexandru
  full_name: Ţifrea, Alexandru
  last_name: Ţifrea
- first_name: Fanny
  full_name: Yang, Fanny
  last_name: Yang
citation:
  ama: 'Wegel T, Kovačević F, Ţifrea A, Yang F. Learning Pareto manifolds in high
    dimensions: How can regularization help? In: <i>The 28th International Conference
    on Artificial Intelligence and Statistics</i>. Vol 258. ML Research Press; 2025:4591-4599.'
  apa: 'Wegel, T., Kovačević, F., Ţifrea, A., &#38; Yang, F. (2025). Learning Pareto
    manifolds in high dimensions: How can regularization help? In <i>The 28th International
    Conference on Artificial Intelligence and Statistics</i> (Vol. 258, pp. 4591–4599).
    Mai Khao, Thailand: ML Research Press.'
  chicago: 'Wegel, Tobias, Filip Kovačević, Alexandru Ţifrea, and Fanny Yang. “Learning
    Pareto Manifolds in High Dimensions: How Can Regularization Help?” In <i>The 28th
    International Conference on Artificial Intelligence and Statistics</i>, 258:4591–99.
    ML Research Press, 2025.'
  ieee: 'T. Wegel, F. Kovačević, A. Ţifrea, and F. Yang, “Learning Pareto manifolds
    in high dimensions: How can regularization help?,” in <i>The 28th International
    Conference on Artificial Intelligence and Statistics</i>, Mai Khao, Thailand,
    2025, vol. 258, pp. 4591–4599.'
  ista: 'Wegel T, Kovačević F, Ţifrea A, Yang F. 2025. Learning Pareto manifolds in
    high dimensions: How can regularization help? The 28th International Conference
    on Artificial Intelligence and Statistics. AISTATS: Conference on Artificial Intelligence
    and Statistics, PMLR, vol. 258, 4591–4599.'
  mla: 'Wegel, Tobias, et al. “Learning Pareto Manifolds in High Dimensions: How Can
    Regularization Help?” <i>The 28th International Conference on Artificial Intelligence
    and Statistics</i>, vol. 258, ML Research Press, 2025, pp. 4591–99.'
  short: T. Wegel, F. Kovačević, A. Ţifrea, F. Yang, in:, The 28th International Conference
    on Artificial Intelligence and Statistics, ML Research Press, 2025, pp. 4591–4599.
conference:
  end_date: 2025-05-05
  location: Mai Khao, Thailand
  name: 'AISTATS: Conference on Artificial Intelligence and Statistics'
  start_date: 2025-05-03
date_created: 2025-09-07T22:01:35Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2025-09-09T07:00:34Z
day: '01'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2503.08849'
intvolume: '       258'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2503.08849
month: '05'
oa: 1
oa_version: Preprint
page: 4591-4599
publication: The 28th International Conference on Artificial Intelligence and Statistics
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Learning Pareto manifolds in high dimensions: How can regularization help?'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 258
year: '2025'
...
---
OA_type: closed access
_id: '20667'
abstract:
- lang: eng
  text: We explore the problem of mean estimation for a high-dimensional binary symmetric
    Gaussian mixture model, where the label (sign) follows a time-inhomogeneous Markov
    chain. We propose a spectral estimator based on a partition of a subset of the
    samples to blocks. We develop a computationally efficient algorithm to find the
    optimal blocks, and derive minimax lower bounds on the estimation loss of any
    estimator, which establish the effectiveness of our proposed estimator. The resulting
    minimax rate illuminates the interplay between the sample size, dimension, signal
    strength, and the memory on the loss.
acknowledgement: The research of A.K. and N.W. was supported by the Israel Science
  Foundation (ISF), grant no. 1782/22.
article_processing_charge: No
author:
- first_name: Abd
  full_name: El Latif Kadry, Abd
  last_name: El Latif Kadry
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
- first_name: Nir
  full_name: Weinberger, Nir
  last_name: Weinberger
citation:
  ama: 'El Latif Kadry A, Zhang Y, Weinberger N. Mean estimation in high-dimensional
    binary timeinhomogeneous Markov Gaussian mixture models. In: <i>2025 IEEE International
    Symposium on Information Theory Proceedings</i>. IEEE; 2025. doi:<a href="https://doi.org/10.1109/ISIT63088.2025.11195426">10.1109/ISIT63088.2025.11195426</a>'
  apa: 'El Latif Kadry, A., Zhang, Y., &#38; Weinberger, N. (2025). Mean estimation
    in high-dimensional binary timeinhomogeneous Markov Gaussian mixture models. In
    <i>2025 IEEE International Symposium on Information Theory Proceedings</i>. Ann
    Arbor, MI, United States: IEEE. <a href="https://doi.org/10.1109/ISIT63088.2025.11195426">https://doi.org/10.1109/ISIT63088.2025.11195426</a>'
  chicago: El Latif Kadry, Abd, Yihan Zhang, and Nir Weinberger. “Mean Estimation
    in High-Dimensional Binary Timeinhomogeneous Markov Gaussian Mixture Models.”
    In <i>2025 IEEE International Symposium on Information Theory Proceedings</i>.
    IEEE, 2025. <a href="https://doi.org/10.1109/ISIT63088.2025.11195426">https://doi.org/10.1109/ISIT63088.2025.11195426</a>.
  ieee: A. El Latif Kadry, Y. Zhang, and N. Weinberger, “Mean estimation in high-dimensional
    binary timeinhomogeneous Markov Gaussian mixture models,” in <i>2025 IEEE International
    Symposium on Information Theory Proceedings</i>, Ann Arbor, MI, United States,
    2025.
  ista: 'El Latif Kadry A, Zhang Y, Weinberger N. 2025. Mean estimation in high-dimensional
    binary timeinhomogeneous Markov Gaussian mixture models. 2025 IEEE International
    Symposium on Information Theory Proceedings. ISIT: International Symposium on
    Information Theory.'
  mla: El Latif Kadry, Abd, et al. “Mean Estimation in High-Dimensional Binary Timeinhomogeneous
    Markov Gaussian Mixture Models.” <i>2025 IEEE International Symposium on Information
    Theory Proceedings</i>, IEEE, 2025, doi:<a href="https://doi.org/10.1109/ISIT63088.2025.11195426">10.1109/ISIT63088.2025.11195426</a>.
  short: A. El Latif Kadry, Y. Zhang, N. Weinberger, in:, 2025 IEEE International
    Symposium on Information Theory Proceedings, IEEE, 2025.
conference:
  end_date: 2025-06-27
  location: Ann Arbor, MI, United States
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2025-06-22
date_created: 2025-11-23T23:01:39Z
date_published: 2025-10-20T00:00:00Z
date_updated: 2025-11-24T08:53:34Z
day: '20'
department:
- _id: MaMo
doi: 10.1109/ISIT63088.2025.11195426
language:
- iso: eng
month: '10'
oa_version: None
publication: 2025 IEEE International Symposium on Information Theory Proceedings
publication_identifier:
  isbn:
  - '9798331543990'
  issn:
  - 2157-8095
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mean estimation in high-dimensional binary timeinhomogeneous Markov Gaussian
  mixture models
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '20734'
abstract:
- lang: eng
  text: We consider the problem of parameter estimation in a high-dimensional generalized
    linear model. Spectral methods obtained via the principal eigenvector of a suitable
    data-dependent matrix provide a simple yet surprisingly effective solution. However,
    despite their wide use, a rigorous performance characterization, as well as a
    principled way to preprocess the data, are available only for unstructured (i.i.d.
    Gaussian and Haar orthogonal) designs. In contrast, real-world data matrices are
    highly structured and exhibit non-trivial correlations. To address the problem,
    we consider correlated Gaussian designs capturing the anisotropic nature of the
    features via a covariance matrix Σ. Our main result is a precise asymptotic characterization
    of the performance of spectral estimators. This allows us to identify the optimal
    preprocessing that minimizes the number of samples needed for parameter estimation.
    Surprisingly, such preprocessing is universal across a broad set of designs, which
    partly addresses a conjecture on optimal spectral estimators for rotationally
    invariant models. Our principled approach vastly improves upon previous heuristic
    methods, including for designs common in computational imaging and genetics. The
    proposed methodology, based on approximate message passing, is broadly applicable
    and opens the way to the precise characterization of spiked matrices and of the
    corresponding spectral methods in a variety of settings.
acknowledgement: "This work was done when Y. Z. and H. C. J. were at the Institute
  of Science and Technology Austria. Y. Z. thanks Hugo Latourelle-Vigeant for bringing
  [53] to the authors’ attention.\r\nY. Z. and M. M. are partially supported by the
  2019 Lopez-Loreta Prize and by the Interdisciplinary Projects Committee (IPC) at
  ISTA. H. C. J. is supported by the ERC Advanced Grant “RMTBeyond” No. 101020331."
article_processing_charge: No
article_type: original
author:
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
- first_name: Hong Chang
  full_name: Ji, Hong Chang
  last_name: Ji
- first_name: Ramji
  full_name: Venkataramanan, Ramji
  last_name: Venkataramanan
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: Zhang Y, Ji HC, Venkataramanan R, Mondelli M. Spectral estimators for structured
    generalized linear models via approximate message passing. <i>Mathematical Statistics
    and Learning</i>. 2025;8(3-4):193-304. doi:<a href="https://doi.org/10.4171/MSL/52">10.4171/MSL/52</a>
  apa: Zhang, Y., Ji, H. C., Venkataramanan, R., &#38; Mondelli, M. (2025). Spectral
    estimators for structured generalized linear models via approximate message passing.
    <i>Mathematical Statistics and Learning</i>. EMS Press. <a href="https://doi.org/10.4171/MSL/52">https://doi.org/10.4171/MSL/52</a>
  chicago: Zhang, Yihan, Hong Chang Ji, Ramji Venkataramanan, and Marco Mondelli.
    “Spectral Estimators for Structured Generalized Linear Models via Approximate
    Message Passing.” <i>Mathematical Statistics and Learning</i>. EMS Press, 2025.
    <a href="https://doi.org/10.4171/MSL/52">https://doi.org/10.4171/MSL/52</a>.
  ieee: Y. Zhang, H. C. Ji, R. Venkataramanan, and M. Mondelli, “Spectral estimators
    for structured generalized linear models via approximate message passing,” <i>Mathematical
    Statistics and Learning</i>, vol. 8, no. 3–4. EMS Press, pp. 193–304, 2025.
  ista: Zhang Y, Ji HC, Venkataramanan R, Mondelli M. 2025. Spectral estimators for
    structured generalized linear models via approximate message passing. Mathematical
    Statistics and Learning. 8(3–4), 193–304.
  mla: Zhang, Yihan, et al. “Spectral Estimators for Structured Generalized Linear
    Models via Approximate Message Passing.” <i>Mathematical Statistics and Learning</i>,
    vol. 8, no. 3–4, EMS Press, 2025, pp. 193–304, doi:<a href="https://doi.org/10.4171/MSL/52">10.4171/MSL/52</a>.
  short: Y. Zhang, H.C. Ji, R. Venkataramanan, M. Mondelli, Mathematical Statistics
    and Learning 8 (2025) 193–304.
corr_author: '1'
date_created: 2025-12-07T23:02:02Z
date_published: 2025-09-02T00:00:00Z
date_updated: 2025-12-09T13:53:31Z
day: '02'
ddc:
- '000'
department:
- _id: MaMo
doi: 10.4171/MSL/52
file:
- access_level: open_access
  checksum: 55a1bd9c1b6b0198c42504fb94f4ad4c
  content_type: application/pdf
  creator: dernst
  date_created: 2025-12-09T13:50:03Z
  date_updated: 2025-12-09T13:50:03Z
  file_id: '20752'
  file_name: 2025_MathStatLearning_Zhang.pdf
  file_size: 1379626
  relation: main_file
  success: 1
file_date_updated: 2025-12-09T13:50:03Z
has_accepted_license: '1'
intvolume: '         8'
issue: 3-4
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 193-304
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: Mathematical Statistics and Learning
publication_identifier:
  eissn:
  - 2520-2324
  issn:
  - 2520-2316
publication_status: published
publisher: EMS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spectral estimators for structured generalized linear models via approximate
  message passing
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: 8
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '19065'
abstract:
- lang: eng
  text: 'The identification of the parameters of a neural network from finite samples
    of input-output pairs is often referred to as the teacher-student model, and this
    model has represented a popular framework for understanding training and generalization.
    Even if the problem is NP-complete in the worst case, a rapidly growing literature
    – after adding suitable distributional assumptions – has established finite sample
    identification of two-layer networks with a number of neurons (math. formula),
    D being the input dimension. For the range (math. formula) the problem becomes
    harder, and truly little is known for networks parametrized by biases as well.
    This paper fills the gap by providing efficient algorithms and rigorous theoretical
    guarantees of finite sample identification for such wider shallow networks with
    biases. Our approach is based on a two-step pipeline: first, we recover the direction
    of the weights, by exploiting second order information; next, we identify the
    signs by suitable algebraic evaluations, and we recover the biases by empirical
    risk minimization via gradient descent. Numerical results demonstrate the effectiveness
    of our approach.'
article_number: '101749'
article_processing_charge: No
article_type: original
author:
- first_name: Massimo
  full_name: Fornasier, Massimo
  last_name: Fornasier
- first_name: Timo
  full_name: Klock, Timo
  last_name: Klock
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Michael
  full_name: Rauchensteiner, Michael
  last_name: Rauchensteiner
citation:
  ama: Fornasier M, Klock T, Mondelli M, Rauchensteiner M. Efficient identification
    of wide shallow neural networks with biases. <i>Applied and Computational Harmonic
    Analysis</i>. 2025;77. doi:<a href="https://doi.org/10.1016/j.acha.2025.101749">10.1016/j.acha.2025.101749</a>
  apa: Fornasier, M., Klock, T., Mondelli, M., &#38; Rauchensteiner, M. (2025). Efficient
    identification of wide shallow neural networks with biases. <i>Applied and Computational
    Harmonic Analysis</i>. Elsevier. <a href="https://doi.org/10.1016/j.acha.2025.101749">https://doi.org/10.1016/j.acha.2025.101749</a>
  chicago: Fornasier, Massimo, Timo Klock, Marco Mondelli, and Michael Rauchensteiner.
    “Efficient Identification of Wide Shallow Neural Networks with Biases.” <i>Applied
    and Computational Harmonic Analysis</i>. Elsevier, 2025. <a href="https://doi.org/10.1016/j.acha.2025.101749">https://doi.org/10.1016/j.acha.2025.101749</a>.
  ieee: M. Fornasier, T. Klock, M. Mondelli, and M. Rauchensteiner, “Efficient identification
    of wide shallow neural networks with biases,” <i>Applied and Computational Harmonic
    Analysis</i>, vol. 77. Elsevier, 2025.
  ista: Fornasier M, Klock T, Mondelli M, Rauchensteiner M. 2025. Efficient identification
    of wide shallow neural networks with biases. Applied and Computational Harmonic
    Analysis. 77, 101749.
  mla: Fornasier, Massimo, et al. “Efficient Identification of Wide Shallow Neural
    Networks with Biases.” <i>Applied and Computational Harmonic Analysis</i>, vol.
    77, 101749, Elsevier, 2025, doi:<a href="https://doi.org/10.1016/j.acha.2025.101749">10.1016/j.acha.2025.101749</a>.
  short: M. Fornasier, T. Klock, M. Mondelli, M. Rauchensteiner, Applied and Computational
    Harmonic Analysis 77 (2025).
corr_author: '1'
date_created: 2025-02-23T23:01:54Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-30T10:35:09Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
doi: 10.1016/j.acha.2025.101749
external_id:
  isi:
  - '001430202700001'
file:
- access_level: open_access
  checksum: 657f258af0f7ca135e69959fd13e2d63
  content_type: application/pdf
  creator: dernst
  date_created: 2025-08-05T12:22:04Z
  date_updated: 2025-08-05T12:22:04Z
  file_id: '20131'
  file_name: 2025_ApplCompAnalysis_Fornasier.pdf
  file_size: 2223350
  relation: main_file
  success: 1
file_date_updated: 2025-08-05T12:22:04Z
has_accepted_license: '1'
intvolume: '        77'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Applied and Computational Harmonic Analysis
publication_identifier:
  eissn:
  - 1096-603X
  issn:
  - 1063-5203
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Efficient identification of wide shallow neural networks with biases
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 77
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '19281'
abstract:
- lang: eng
  text: "In this work, we consider the list-decodability and list-recoverability of
    codes in the zero-rate regime. Briefly, a code \U0001D49E ⊆ [q]ⁿ is (p,\U0001D4C1,L)-list-recoverable
    if for all tuples of input lists (Y₁,… ,Y_n) with each Y_i ⊆ [q] and |Y_i| = \U0001D4C1,
    the number of codewords c ∈ \U0001D49E such that c_i ∉ Y_i for at most pn choices
    of i ∈ [n] is less than L; list-decoding is the special case of \U0001D4C1 = 1.
    In recent work by Resch, Yuan and Zhang (ICALP 2023) the zero-rate threshold for
    list-recovery was determined for all parameters: that is, the work explicitly
    computes p_*: = p_*(q,\U0001D4C1,L) with the property that for all ε > 0 (a) there
    exist positive-rate (p_*-ε,\U0001D4C1,L)-list-recoverable codes, and (b) any (p_*+ε,\U0001D4C1,L)-list-recoverable
    code has rate 0. In fact, in the latter case the code has constant size, independent
    on n. However, the constant size in their work is quite large in 1/ε, at least
    |\U0001D49E| ≥ (1/(ε))^O(q^L).\r\nOur contribution in this work is to show that
    for all choices of q,\U0001D4C1 and L with q ≥ 3, any (p_*+ε,\U0001D4C1,L)-list-recoverable
    code must have size O_{q,\U0001D4C1,L}(1/ε), and furthermore this upper bound
    is complemented by a matching lower bound Ω_{q,\U0001D4C1,L}(1/ε). This greatly
    generalizes work by Alon, Bukh and Polyanskiy (IEEE Trans. Inf. Theory 2018) which
    focused only on the case of binary alphabet (and thus necessarily only list-decoding).
    We remark that we can in fact recover the same result for q = 2 and even L, as
    obtained by Alon, Bukh and Polyanskiy: we thus strictly generalize their work.
    \r\nOur main technical contribution is to (a) properly define a linear programming
    relaxation of the list-recovery condition over large alphabets; and (b) to demonstrate
    that a certain function defined on a q-ary probability simplex is maximized by
    the uniform distribution. This represents the core challenge in generalizing to
    larger q (as a binary simplex can be naturally identified with a one-dimensional
    interval). We can subsequently re-utilize certain Schur convexity and convexity
    properties established for a related function by Resch, Yuan and Zhang along with
    ideas of Alon, Bukh and Polyanskiy."
acknowledgement: "The research of C. Yuan was support in part by the National Key
  R&D Program of China\r\nunder Grant 2023YFE0123900 and Natural Science Foundation
  of Shanghai under the 2024 Shanghai Action Plan for Science, Technology and Innovation
  Grant 24BC3200700. The research of N. Resch is supported in part by an NWO (Dutch
  Research Council) grant with number C.2324.0590, and this work was done in part
  while he was visiting the Simons Institute for the Theory of Computing, supported
  by DOE grant #DE-SC0024124."
alternative_title:
- LIPIcs
article_number: '82'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Nicolas
  full_name: Resch, Nicolas
  last_name: Resch
- first_name: Chen
  full_name: Yuan, Chen
  last_name: Yuan
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
citation:
  ama: 'Resch N, Yuan C, Zhang Y. Tight bounds on list-decodable and list-recoverable
    zero-rate codes. In: <i>16th Innovations in Theoretical Computer Science Conference</i>.
    Vol 325. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2025. doi:<a href="https://doi.org/10.4230/LIPIcs.ITCS.2025.82">10.4230/LIPIcs.ITCS.2025.82</a>'
  apa: 'Resch, N., Yuan, C., &#38; Zhang, Y. (2025). Tight bounds on list-decodable
    and list-recoverable zero-rate codes. In <i>16th Innovations in Theoretical Computer
    Science Conference</i> (Vol. 325). New York, NY, United States: Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ITCS.2025.82">https://doi.org/10.4230/LIPIcs.ITCS.2025.82</a>'
  chicago: Resch, Nicolas, Chen Yuan, and Yihan Zhang. “Tight Bounds on List-Decodable
    and List-Recoverable Zero-Rate Codes.” In <i>16th Innovations in Theoretical Computer
    Science Conference</i>, Vol. 325. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025. <a href="https://doi.org/10.4230/LIPIcs.ITCS.2025.82">https://doi.org/10.4230/LIPIcs.ITCS.2025.82</a>.
  ieee: N. Resch, C. Yuan, and Y. Zhang, “Tight bounds on list-decodable and list-recoverable
    zero-rate codes,” in <i>16th Innovations in Theoretical Computer Science Conference</i>,
    New York, NY, United States, 2025, vol. 325.
  ista: 'Resch N, Yuan C, Zhang Y. 2025. Tight bounds on list-decodable and list-recoverable
    zero-rate codes. 16th Innovations in Theoretical Computer Science Conference.
    ITCS: Innovations in Theoretical Computer Science, LIPIcs, vol. 325, 82.'
  mla: Resch, Nicolas, et al. “Tight Bounds on List-Decodable and List-Recoverable
    Zero-Rate Codes.” <i>16th Innovations in Theoretical Computer Science Conference</i>,
    vol. 325, 82, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025, doi:<a
    href="https://doi.org/10.4230/LIPIcs.ITCS.2025.82">10.4230/LIPIcs.ITCS.2025.82</a>.
  short: N. Resch, C. Yuan, Y. Zhang, in:, 16th Innovations in Theoretical Computer
    Science Conference, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2025.
conference:
  end_date: 2025-01-10
  location: New York, NY, United States
  name: 'ITCS: Innovations in Theoretical Computer Science'
  start_date: 2025-01-07
corr_author: '1'
date_created: 2025-03-02T23:01:53Z
date_published: 2025-02-11T00:00:00Z
date_updated: 2025-09-30T10:42:35Z
day: '11'
ddc:
- '510'
- '000'
department:
- _id: MaMo
doi: 10.4230/LIPIcs.ITCS.2025.82
external_id:
  arxiv:
  - '2309.01800'
  isi:
  - '001532717300082'
file:
- access_level: open_access
  checksum: df3921ddf1b360b07f43d427fea51242
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  creator: dernst
  date_created: 2025-03-04T09:35:57Z
  date_updated: 2025-03-04T09:35:57Z
  file_id: '19286'
  file_name: 2025_LIPIcs_Resch.pdf
  file_size: 898601
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file_date_updated: 2025-03-04T09:35:57Z
has_accepted_license: '1'
intvolume: '       325'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
publication: 16th Innovations in Theoretical Computer Science Conference
publication_identifier:
  isbn:
  - '9783959773614'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tight bounds on list-decodable and list-recoverable zero-rate codes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 325
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21324'
abstract:
- lang: eng
  text: Learning models have been shown to rely on spurious correlations between non-predictive
    features and the associated labels in the training data, with negative implications
    on robustness, bias and fairness. In this work, we provide a statistical characterization
    of this phenomenon for high-dimensional regression, when the data contains a predictive
    core feature x and a spurious feature y. Specifically, we quantify the amount
    of spurious correlations C learned via linear regression, in terms of the data
    covariance and the strength λ of the ridge regularization. As a consequence, we
    first capture the simplicity of y through the spectrum of its covariance, and
    its correlation with x through the Schur complement of the full data covariance.
    Next, we prove a trade-off between C and the in-distribution test loss L, by showing
    that the value of λ that minimizes L lies in an interval where C is increasing.
    Finally, we investigate the effects of over-parameterization via the random features
    model, by showing its equivalence to regularized linear regression. Our theoretical
    results are supported by numerical experiments on Gaussian, Color-MNIST, and CIFAR-10
    datasets.
acknowledgement: Marco Mondelli is funded by the European Union (ERC, INF2, project
  number 101161364). Views and opinions expressed are however those of the author(s)
  only and do not necessarily reflect those of the European Union or the European
  Research Council Executive Agency. Neither the European Union nor the granting authority
  can be held responsible for them. Simone Bombari is supported by a Google PhD fellowship.
  The authors would like to thank GuanWen Qiu for helpful discussions.
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Simone
  full_name: Bombari, Simone
  id: ca726dda-de17-11ea-bc14-f9da834f63aa
  last_name: Bombari
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Bombari S, Mondelli M. Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:4839-4873.'
  apa: 'Bombari, S., &#38; Mondelli, M. (2025). Spurious correlations in high dimensional
    regression: The roles of regularization, simplicity bias and over-parameterization.
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 4839–4873). Vancouver, Canada: ML Research Press.'
  chicago: 'Bombari, Simone, and Marco Mondelli. “Spurious Correlations in High Dimensional
    Regression: The Roles of Regularization, Simplicity Bias and over-Parameterization.”
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    267:4839–73. ML Research Press, 2025.'
  ieee: 'S. Bombari and M. Mondelli, “Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization,” in <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>, Vancouver, Canada,
    2025, vol. 267, pp. 4839–4873.'
  ista: 'Bombari S, Mondelli M. 2025. Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 4839–4873.'
  mla: 'Bombari, Simone, and Marco Mondelli. “Spurious Correlations in High Dimensional
    Regression: The Roles of Regularization, Simplicity Bias and over-Parameterization.”
    <i>Proceedings of the 42nd International Conference on Machine Learning</i>, vol.
    267, ML Research Press, 2025, pp. 4839–73.'
  short: S. Bombari, M. Mondelli, in:, Proceedings of the 42nd International Conference
    on Machine Learning, ML Research Press, 2025, pp. 4839–4873.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
corr_author: '1'
date_created: 2026-02-18T11:58:00Z
date_published: 2025-07-30T00:00:00Z
date_updated: 2026-02-19T08:08:55Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2502.01347'
file:
- access_level: open_access
  checksum: d4ba4f7717b362ca38878f45e57bd643
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:04:38Z
  date_updated: 2026-02-19T08:04:38Z
  file_id: '21335'
  file_name: 2025_ICML_Bombari.pdf
  file_size: 887526
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:04:38Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 4839-4873
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
- _id: 92099302-16d5-11f0-9cad-f9a785f54fbd
  name: 'Trustworthy Deep Learning Theory: Private Over-Parameterized Models and Robust
    LLMs'
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: 'Spurious correlations in high dimensional regression: The roles of regularization,
  simplicity bias and over-parameterization'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21325'
abstract:
- lang: eng
  text: Test-time training (TTT) methods explicitly update the weights of a model
    to adapt to the specific test instance, and they have found success in a variety
    of settings, including most recently language modeling and reasoning. To demystify
    this success, we investigate a gradient-based TTT algorithm for in-context learning,
    where we train a transformer model on the in-context demonstrations provided in
    the test prompt. Specifically, we provide a comprehensive theoretical characterization
    of linear transformers when the update rule is a single gradient step. Our theory
    (i) delineates the role of alignment between pretraining distribution and target
    task, (ii) demystifies how TTT can alleviate distribution shift, and (iii) quantifies
    the sample complexity of TTT including how it can significantly reduce the eventual
    sample size required for in-context learning. As our empirical contribution, we
    study the benefits of TTT for TabPFN, a tabular foundation model. In line with
    our theory, we demonstrate that TTT significantly reduces the required sample
    size for tabular classification (3 to 5 times fewer) unlocking substantial inference
    efficiency with a negligible training cost.
acknowledgement: "H.A.G., M.E.I., X.Z., and S.O. were supported in part by the NSF
  grants CCF2046816, CCF-2403075, CCF-2008020, and the Office of Naval Research grant
  N000142412289.\r\nM. M. is funded by the European Union (ERC, INF2 , project number
  101161364). Views and opinions expressed are, however, those of the author(s) only
  and do not necessarily\r\nreflect those of the European Union or the European Research
  Council Executive Agency. Neither the European Union nor the granting authority
  can be held responsible for them. M.S. is supported by the Packard Fellowship in
  Science and Engineering, a Sloan Research Fellowship in Mathematics, an NSF-CAREER
  under award #1846369, DARPA FastNICS program, and NSF-CIF awards #1813877 and #2008443,
  and NIH DP2LM014564-01. The authors also\r\nacknowledge further support from Open
  Philanthropy, OpenAI, Amazon Research, Google Research, and Microsoft Research."
alternative_title:
- PMLR
article_processing_charge: No
author:
- first_name: Halil Alperen
  full_name: Gozeten, Halil Alperen
  last_name: Gozeten
- first_name: Muhammed Emrullah
  full_name: Ildiz, Muhammed Emrullah
  last_name: Ildiz
- first_name: Xuechen
  full_name: Zhang, Xuechen
  last_name: Zhang
- first_name: Mahdi
  full_name: Soltanolkotabi, Mahdi
  last_name: Soltanolkotabi
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Samet
  full_name: Oymak, Samet
  last_name: Oymak
citation:
  ama: 'Gozeten HA, Ildiz ME, Zhang X, Soltanolkotabi M, Mondelli M, Oymak S. Test-time
    training provably improves transformers as in-context learners. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:20266-20295.'
  apa: 'Gozeten, H. A., Ildiz, M. E., Zhang, X., Soltanolkotabi, M., Mondelli, M.,
    &#38; Oymak, S. (2025). Test-time training provably improves transformers as in-context
    learners. In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 20266–20295). Vancouver, Canada: ML Research Press.'
  chicago: Gozeten, Halil Alperen, Muhammed Emrullah Ildiz, Xuechen Zhang, Mahdi Soltanolkotabi,
    Marco Mondelli, and Samet Oymak. “Test-Time Training Provably Improves Transformers
    as in-Context Learners.” In <i>Proceedings of the 42nd International Conference
    on Machine Learning</i>, 267:20266–95. ML Research Press, 2025.
  ieee: H. A. Gozeten, M. E. Ildiz, X. Zhang, M. Soltanolkotabi, M. Mondelli, and
    S. Oymak, “Test-time training provably improves transformers as in-context learners,”
    in <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    Vancouver, Canada, 2025, vol. 267, pp. 20266–20295.
  ista: 'Gozeten HA, Ildiz ME, Zhang X, Soltanolkotabi M, Mondelli M, Oymak S. 2025.
    Test-time training provably improves transformers as in-context learners. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 20266–20295.'
  mla: Gozeten, Halil Alperen, et al. “Test-Time Training Provably Improves Transformers
    as in-Context Learners.” <i>Proceedings of the 42nd International Conference on
    Machine Learning</i>, vol. 267, ML Research Press, 2025, pp. 20266–95.
  short: H.A. Gozeten, M.E. Ildiz, X. Zhang, M. Soltanolkotabi, M. Mondelli, S. Oymak,
    in:, Proceedings of the 42nd International Conference on Machine Learning, ML
    Research Press, 2025, pp. 20266–20295.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
date_created: 2026-02-18T12:00:44Z
date_published: 2025-11-30T00:00:00Z
date_updated: 2026-02-19T08:18:24Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  pmid:
  - '41321376'
file:
- access_level: open_access
  checksum: f774f8619a0d72f3975d9cb23942a1e9
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:15:48Z
  date_updated: 2026-02-19T08:15:48Z
  file_id: '21336'
  file_name: 2025_ICML_Gozeten.pdf
  file_size: 471176
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:15:48Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 20266-20295
pmid: 1
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: Test-time training provably improves transformers as in-context learners
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21326'
abstract:
- lang: eng
  text: 'Neural Collapse is a phenomenon where the last-layer representations of a
    well-trained neural network converge to a highly structured geometry. In this
    paper, we focus on its first (and most basic) property, known as NC1: the within-class
    variability vanishes. While prior theoretical studies establish the occurrence
    of NC1 via the data-agnostic unconstrained features model, our work adopts a data-specific
    perspective, analyzing NC1 in a three-layer neural network, with the first two
    layers operating in the mean-field regime and followed by a linear layer. In particular,
    we establish a fundamental connection between NC1 and the loss landscape: we prove
    that points with small empirical loss and gradient norm (thus, close to being
    stationary) approximately satisfy NC1, and the closeness to NC1 is controlled
    by the residual loss and gradient norm. We then show that (i) gradient flow on
    the mean squared error converges to NC1 solutions with small empirical loss, and
    (ii) for well-separated data distributions, both NC1 and vanishing test loss are
    achieved simultaneously. This aligns with the empirical observation that NC1 emerges
    during training while models attain near-zero test error. Overall, our results
    demonstrate that NC1 arises from gradient training due to the properties of the
    loss landscape, and they show the co-occurrence of NC1 and small test error for
    certain data distributions.'
acknowledgement: "This research was funded in whole or in part by the Austrian Science
  Fund (FWF) 10.55776/COE12. For the purpose of open access, the authors have applied
  a CC BY public\r\ncopyright license to any Author Accepted Manuscript version arising
  from this submission. The authors would like to thank Peter Sukenık for general
  helpful discussions and for pointing out that all the stationary points are approximately
  proportional in the case without entropic regularization. "
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Diyuan
  full_name: Wu, Diyuan
  id: 1a5914c2-896a-11ed-bdf8-fb80621a0635
  last_name: Wu
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Wu D, Mondelli M. Neural collapse beyond the unconstrained features model:
    Landscape, dynamics, and generalization in the mean-field regime. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:67499-67536.'
  apa: 'Wu, D., &#38; Mondelli, M. (2025). Neural collapse beyond the unconstrained
    features model: Landscape, dynamics, and generalization in the mean-field regime.
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 67499–67536). Vancouver, Canada: ML Research Press.'
  chicago: 'Wu, Diyuan, and Marco Mondelli. “Neural Collapse beyond the Unconstrained
    Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime.”
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    267:67499–536. ML Research Press, 2025.'
  ieee: 'D. Wu and M. Mondelli, “Neural collapse beyond the unconstrained features
    model: Landscape, dynamics, and generalization in the mean-field regime,” in <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>, Vancouver, Canada,
    2025, vol. 267, pp. 67499–67536.'
  ista: 'Wu D, Mondelli M. 2025. Neural collapse beyond the unconstrained features
    model: Landscape, dynamics, and generalization in the mean-field regime. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 67499–67536.'
  mla: 'Wu, Diyuan, and Marco Mondelli. “Neural Collapse beyond the Unconstrained
    Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime.”
    <i>Proceedings of the 42nd International Conference on Machine Learning</i>, vol.
    267, ML Research Press, 2025, pp. 67499–536.'
  short: D. Wu, M. Mondelli, in:, Proceedings of the 42nd International Conference
    on Machine Learning, ML Research Press, 2025, pp. 67499–67536.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
corr_author: '1'
date_created: 2026-02-18T12:02:45Z
date_published: 2025-07-30T00:00:00Z
date_updated: 2026-02-19T08:30:42Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2501.19104'
file:
- access_level: open_access
  checksum: c5ce8b1c83e33dc3a11122f4910deb67
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:28:22Z
  date_updated: 2026-02-19T08:28:22Z
  file_id: '21337'
  file_name: 2025_ICML_Wu.pdf
  file_size: 3994385
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:28:22Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 67499-67536
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: 'Neural collapse beyond the unconstrained features model: Landscape, dynamics,
  and generalization in the mean-field regime'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21328'
abstract:
- lang: eng
  text: Multi-index models provide a popular framework to investigate the learnability
    of functions with low-dimensional structure and, also due to their connections
    with neural networks, they have been object of recent intensive study. In this
    paper, we focus on recovering the subspace spanned by the signals via spectral
    estimators – a family of methods routinely used in practice, often as a warm-start
    for iterative algorithms. Our main technical contribution is a precise asymptotic
    characterization of the performance of spectral methods, when sample size and
    input dimension grow proportionally and the dimension p of the space to recover
    is fixed. Specifically, we locate the top-p eigenvalues of the spectral matrix
    and establish the overlaps between the corresponding eigenvectors (which give
    the spectral estimators) and a basis of the signal subspace. Our analysis unveils
    a phase transition phenomenon in which, as the sample complexity grows, eigenvalues
    escape from the bulk of the spectrum and, when that happens, eigenvectors recover
    directions of the desired subspace. The precise characterization we put forward
    enables the optimization of the data preprocessing, thus allowing to identify
    the spectral estimator that requires the minimal sample size for weak recovery.
acknowledgement: "This work was done when Y. Z. was at the Institute of Science and
  Technology Austria. Y. Z. and\r\nM. M. are funded by the European Union (ERC, INF2,
  project number 101161364). Views and\r\nopinions expressed are however those of
  the author(s) only and do not necessarily reflect those of the European Union or
  the European Research Council Executive Agency. Neither the European Union nor the
  granting authority can be held responsible for them. The authors would like to acknowledge
  (in alphabetical order) discussions with Yatin Dandi, Leonardo Defilippis and Bruno
  Loureiro concerning their parallel work (Defilippis et al., 2025)."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Filip
  full_name: Kovačević, Filip
  id: d0258e7b-50b8-11ef-ad56-8b9f537b6b1b
  last_name: Kovačević
- first_name: Zhang
  full_name: Yihan, Zhang
  last_name: Yihan
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Kovačević F, Yihan Z, Mondelli M. Spectral estimators for multi-index models:
    Precise asymptotics and optimal weak recovery. In: <i>Proceedings of 38th Conference
    on Learning Theory</i>. Vol 291. ML Research Press; 2025:3354-3404.'
  apa: 'Kovačević, F., Yihan, Z., &#38; Mondelli, M. (2025). Spectral estimators for
    multi-index models: Precise asymptotics and optimal weak recovery. In <i>Proceedings
    of 38th Conference on Learning Theory</i> (Vol. 291, pp. 3354–3404). Lyon, France:
    ML Research Press.'
  chicago: 'Kovačević, Filip, Zhang Yihan, and Marco Mondelli. “Spectral Estimators
    for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery.” In <i>Proceedings
    of 38th Conference on Learning Theory</i>, 291:3354–3404. ML Research Press, 2025.'
  ieee: 'F. Kovačević, Z. Yihan, and M. Mondelli, “Spectral estimators for multi-index
    models: Precise asymptotics and optimal weak recovery,” in <i>Proceedings of 38th
    Conference on Learning Theory</i>, Lyon, France, 2025, vol. 291, pp. 3354–3404.'
  ista: 'Kovačević F, Yihan Z, Mondelli M. 2025. Spectral estimators for multi-index
    models: Precise asymptotics and optimal weak recovery. Proceedings of 38th Conference
    on Learning Theory. COLT: Conference on Learning Theory, PMLR, vol. 291, 3354–3404.'
  mla: 'Kovačević, Filip, et al. “Spectral Estimators for Multi-Index Models: Precise
    Asymptotics and Optimal Weak Recovery.” <i>Proceedings of 38th Conference on Learning
    Theory</i>, vol. 291, ML Research Press, 2025, pp. 3354–404.'
  short: F. Kovačević, Z. Yihan, M. Mondelli, in:, Proceedings of 38th Conference
    on Learning Theory, ML Research Press, 2025, pp. 3354–3404.
conference:
  end_date: 2025-07-04
  location: Lyon, France
  name: 'COLT: Conference on Learning Theory'
  start_date: 2025-06-30
corr_author: '1'
date_created: 2026-02-18T12:12:47Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-02-19T09:03:53Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2502.01583'
file:
- access_level: open_access
  checksum: 19aa70ab4f57fb9067b6ebb99a5fd6f0
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T09:03:43Z
  date_updated: 2026-02-19T09:03:43Z
  file_id: '21339'
  file_name: 2025_LearningTheory_Kovacevic.pdf
  file_size: 844611
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T09:03:43Z
has_accepted_license: '1'
intvolume: '       291'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 3354-3404
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: Proceedings of 38th Conference on Learning Theory
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Spectral estimators for multi-index models: Precise asymptotics and optimal
  weak recovery'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 291
year: '2025'
...
---
APC_amount: 3272,21 EUR
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '18986'
abstract:
- lang: eng
  text: 'We consider a prototypical problem of Bayesian inference for a structured
    spiked model: a low-rank signal is corrupted by additive noise. While both information-theoretic
    and algorithmic limits are well understood when the noise is a Gaussian Wigner
    matrix, the more realistic case of structured noise still remains challenging.
    To capture the structure while maintaining mathematical tractability, a line of
    work has focused on rotationally invariant noise. However, existing studies either
    provide suboptimal algorithms or are limited to a special class of noise ensembles.
    In this paper, using tools from statistical physics (replica method) and random
    matrix theory (generalized spherical integrals) we establish the characterization
    of the information-theoretic limits for a noise matrix drawn from a general trace
    ensemble. Remarkably, our analysis unveils the asymptotic equivalence between
    the rotationally invariant model and a surrogate Gaussian one. Finally, we show
    how to saturate the predicted statistical limits using an efficient algorithm
    inspired by the theory of adaptive Thouless-Anderson-Palmer (TAP) equations.'
acknowledgement: J.B., F.C., and Y.X. were funded by the European Union (ERC, CHORAL,
  Project No. 101039794). Views and opinions expressed are however those of the authors
  only and do not necessarily reflect those of the European Union or the European
  Research Council. Neither the European Union nor the granting authority can be held
  responsible for them. M.M. was supported by the 2019 Lopez-Loreta Prize. J.B. acknowledges
  discussions with TianQi Hou at the initial stage of the project, as well as with
  Antoine Bodin.
article_number: '013081'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Jean
  full_name: Barbier, Jean
  last_name: Barbier
- first_name: Francesco
  full_name: Camilli, Francesco
  last_name: Camilli
- first_name: Yizhou
  full_name: Xu, Yizhou
  last_name: Xu
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: Barbier J, Camilli F, Xu Y, Mondelli M. Information limits and Thouless-Anderson-Palmer
    equations for spiked matrix models with structured noise. <i>Physical Review Research</i>.
    2025;7. doi:<a href="https://doi.org/10.1103/PhysRevResearch.7.013081">10.1103/PhysRevResearch.7.013081</a>
  apa: Barbier, J., Camilli, F., Xu, Y., &#38; Mondelli, M. (2025). Information limits
    and Thouless-Anderson-Palmer equations for spiked matrix models with structured
    noise. <i>Physical Review Research</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevResearch.7.013081">https://doi.org/10.1103/PhysRevResearch.7.013081</a>
  chicago: Barbier, Jean, Francesco Camilli, Yizhou Xu, and Marco Mondelli. “Information
    Limits and Thouless-Anderson-Palmer Equations for Spiked Matrix Models with Structured
    Noise.” <i>Physical Review Research</i>. American Physical Society, 2025. <a href="https://doi.org/10.1103/PhysRevResearch.7.013081">https://doi.org/10.1103/PhysRevResearch.7.013081</a>.
  ieee: J. Barbier, F. Camilli, Y. Xu, and M. Mondelli, “Information limits and Thouless-Anderson-Palmer
    equations for spiked matrix models with structured noise,” <i>Physical Review
    Research</i>, vol. 7. American Physical Society, 2025.
  ista: Barbier J, Camilli F, Xu Y, Mondelli M. 2025. Information limits and Thouless-Anderson-Palmer
    equations for spiked matrix models with structured noise. Physical Review Research.
    7, 013081.
  mla: Barbier, Jean, et al. “Information Limits and Thouless-Anderson-Palmer Equations
    for Spiked Matrix Models with Structured Noise.” <i>Physical Review Research</i>,
    vol. 7, 013081, American Physical Society, 2025, doi:<a href="https://doi.org/10.1103/PhysRevResearch.7.013081">10.1103/PhysRevResearch.7.013081</a>.
  short: J. Barbier, F. Camilli, Y. Xu, M. Mondelli, Physical Review Research 7 (2025).
date_created: 2025-02-02T23:01:54Z
date_published: 2025-01-22T00:00:00Z
date_updated: 2026-05-06T12:57:36Z
day: '22'
ddc:
- '530'
department:
- _id: MaMo
doi: 10.1103/PhysRevResearch.7.013081
external_id:
  arxiv:
  - '2405.20993'
file:
- access_level: open_access
  checksum: 52c5f72d80ffc928542469114fcdb62b
  content_type: application/pdf
  creator: dernst
  date_created: 2025-02-03T08:27:59Z
  date_updated: 2025-02-03T08:27:59Z
  file_id: '18988'
  file_name: 2025_PhysReviewResearch_Barbier.pdf
  file_size: 702543
  relation: main_file
  success: 1
file_date_updated: 2025-02-03T08:27:59Z
has_accepted_license: '1'
intvolume: '         7'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/xu-yz19/spiked-matrix-models-with-structured-noise
scopus_import: '1'
status: public
title: Information limits and Thouless-Anderson-Palmer equations for spiked matrix
  models with structured noise
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: 7
year: '2025'
...
---
APC_amount: 2754,32 EUR
OA_place: publisher
OA_type: hybrid
_id: '19627'
abstract:
- lang: eng
  text: Differentially private gradient descent (DP-GD) is a popular algorithm to
    train deep learning models with provable guarantees on the privacy of the training
    data. In the last decade, the problem of understanding its performance cost with
    respect to standard GD has received remarkable attention from the research community,
    which formally derived upper bounds on the excess population risk  RP  in different
    learning settings. However, existing bounds typically degrade with over-parameterization,
    i.e., as the number of parameters  p  gets larger than the number of training
    samples  n  -- a regime which is ubiquitous in current deep-learning practice.
    As a result, the lack of theoretical insights leaves practitioners without clear
    guidance, leading some to reduce the effective number of trainable parameters
    to improve performance, while others use larger models to achieve better results
    through scale. In this work, we show that in the popular random features model
    with quadratic loss, for any sufficiently large  p , privacy can be obtained for
    free, i.e.,  |RP|=o(1) , not only when the privacy parameter  ε  has constant
    order, but also in the strongly private setting  ε=o(1) . This challenges the
    common wisdom that over-parameterization inherently hinders performance in private
    learning.
acknowledgement: This research was funded in whole, or in part, by the Austrian Science
  Fund (FWF) Grant number COE 12. For the purpose of open access, the author has applied
  a CC BY public copyright license to any Author Accepted Manuscript version arising
  from this submission. The authors were also supported by the 2019 Lopez-Loreta prize,
  and Simone Bombari was supported by a Google PhD fellowship. We thank Diyuan Wu,
  Edwige Cyffers, Francesco Pedrotti, Inbar Seroussi, Nikita P. Kalinin, Pietro Pelliconi,
  Roodabeh Safavi, Yizhe Zhu, and Zhichao Wang for helpful discussions.
article_number: e2423072122
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Simone
  full_name: Bombari, Simone
  id: ca726dda-de17-11ea-bc14-f9da834f63aa
  last_name: Bombari
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: Bombari S, Mondelli M. Privacy for free in the overparameterized regime. <i>Proceedings
    of the National Academy of Sciences</i>. 2025;122(15). doi:<a href="https://doi.org/10.1073/pnas.2423072122">10.1073/pnas.2423072122</a>
  apa: Bombari, S., &#38; Mondelli, M. (2025). Privacy for free in the overparameterized
    regime. <i>Proceedings of the National Academy of Sciences</i>. National Academy
    of Sciences. <a href="https://doi.org/10.1073/pnas.2423072122">https://doi.org/10.1073/pnas.2423072122</a>
  chicago: Bombari, Simone, and Marco Mondelli. “Privacy for Free in the Overparameterized
    Regime.” <i>Proceedings of the National Academy of Sciences</i>. National Academy
    of Sciences, 2025. <a href="https://doi.org/10.1073/pnas.2423072122">https://doi.org/10.1073/pnas.2423072122</a>.
  ieee: S. Bombari and M. Mondelli, “Privacy for free in the overparameterized regime,”
    <i>Proceedings of the National Academy of Sciences</i>, vol. 122, no. 15. National
    Academy of Sciences, 2025.
  ista: Bombari S, Mondelli M. 2025. Privacy for free in the overparameterized regime.
    Proceedings of the National Academy of Sciences. 122(15), e2423072122.
  mla: Bombari, Simone, and Marco Mondelli. “Privacy for Free in the Overparameterized
    Regime.” <i>Proceedings of the National Academy of Sciences</i>, vol. 122, no.
    15, e2423072122, National Academy of Sciences, 2025, doi:<a href="https://doi.org/10.1073/pnas.2423072122">10.1073/pnas.2423072122</a>.
  short: S. Bombari, M. Mondelli, Proceedings of the National Academy of Sciences
    122 (2025).
corr_author: '1'
date_created: 2025-04-27T22:02:13Z
date_published: 2025-04-15T00:00:00Z
date_updated: 2026-05-20T08:23:19Z
day: '15'
ddc:
- '000'
department:
- _id: MaMo
doi: 10.1073/pnas.2423072122
external_id:
  arxiv:
  - '2410.14787'
  isi:
  - '001471214000001'
  pmid:
  - '40215275'
file:
- access_level: open_access
  checksum: 1ac6f78e368d35a0cafb4d2d9bd63443
  content_type: application/pdf
  creator: dernst
  date_created: 2025-05-05T07:27:54Z
  date_updated: 2025-05-05T07:27:54Z
  file_id: '19648'
  file_name: 2025_PNAS_Bombari.pdf
  file_size: 2328320
  relation: main_file
  success: 1
file_date_updated: 2025-05-05T07:27:54Z
has_accepted_license: '1'
intvolume: '       122'
isi: 1
issue: '15'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
- _id: 92099302-16d5-11f0-9cad-f9a785f54fbd
  name: 'Trustworthy Deep Learning Theory: Private Over-Parameterized Models and Robust
    LLMs'
publication: Proceedings of the National Academy of Sciences
publication_identifier:
  eissn:
  - 1091-6490
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Privacy for free in the overparameterized regime
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: 122
year: '2025'
...
---
_id: '14665'
abstract:
- lang: eng
  text: We derive lower bounds on the maximal rates for multiple packings in high-dimensional
    Euclidean spaces. For any N > 0 and L ∈ Z ≥2 , a multiple packing is a set C of
    points in R n such that any point in R n lies in the intersection of at most L
    - 1 balls of radius √ nN around points in C . This is a natural generalization
    of the sphere packing problem. We study the multiple packing problem for both
    bounded point sets whose points have norm at most √ nP for some constant P > 0,
    and unbounded point sets whose points are allowed to be anywhere in R n . Given
    a well-known connection with coding theory, multiple packings can be viewed as
    the Euclidean analog of list-decodable codes, which are well-studied over finite
    fields. We derive the best known lower bounds on the optimal multiple packing
    density. This is accomplished by establishing an inequality which relates the
    list-decoding error exponent for additive white Gaussian noise channels, a quantity
    of average-case nature, to the list-decoding radius, a quantity of worst-case
    nature. We also derive novel bounds on the list-decoding error exponent for infinite
    constellations and closed-form expressions for the list-decoding error exponents
    for the power-constrained AWGN channel, which may be of independent interest beyond
    multiple packing.
acknowledgement: "The work of Yihan Zhang was supported by the European Union’s Horizon
  2020 Research and Innovation Programme under Grant 682203-ERC-[Inf-Speed-Tradeoff].
  The work of Shashank Vatedka was supported in part by the Core Research Grant from
  the Science and\r\nEngineering Research Board, India, under Grant CRG/2022/004464;
  and in\r\npart by the Department of Science and Technology (DST), India, under Grant\r\nDST/INT/RUS/RSF/P-41/2020
  (TPN No. 65025)."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
- first_name: Shashank
  full_name: Vatedka, Shashank
  last_name: Vatedka
citation:
  ama: 'Zhang Y, Vatedka S. Multiple packing: Lower bounds via error exponents. <i>IEEE
    Transactions on Information Theory</i>. 2024;70(2):1008-1039. doi:<a href="https://doi.org/10.1109/TIT.2023.3334032">10.1109/TIT.2023.3334032</a>'
  apa: 'Zhang, Y., &#38; Vatedka, S. (2024). Multiple packing: Lower bounds via error
    exponents. <i>IEEE Transactions on Information Theory</i>. IEEE. <a href="https://doi.org/10.1109/TIT.2023.3334032">https://doi.org/10.1109/TIT.2023.3334032</a>'
  chicago: 'Zhang, Yihan, and Shashank Vatedka. “Multiple Packing: Lower Bounds via
    Error Exponents.” <i>IEEE Transactions on Information Theory</i>. IEEE, 2024.
    <a href="https://doi.org/10.1109/TIT.2023.3334032">https://doi.org/10.1109/TIT.2023.3334032</a>.'
  ieee: 'Y. Zhang and S. Vatedka, “Multiple packing: Lower bounds via error exponents,”
    <i>IEEE Transactions on Information Theory</i>, vol. 70, no. 2. IEEE, pp. 1008–1039,
    2024.'
  ista: 'Zhang Y, Vatedka S. 2024. Multiple packing: Lower bounds via error exponents.
    IEEE Transactions on Information Theory. 70(2), 1008–1039.'
  mla: 'Zhang, Yihan, and Shashank Vatedka. “Multiple Packing: Lower Bounds via Error
    Exponents.” <i>IEEE Transactions on Information Theory</i>, vol. 70, no. 2, IEEE,
    2024, pp. 1008–39, doi:<a href="https://doi.org/10.1109/TIT.2023.3334032">10.1109/TIT.2023.3334032</a>.'
  short: Y. Zhang, S. Vatedka, IEEE Transactions on Information Theory 70 (2024) 1008–1039.
corr_author: '1'
date_created: 2023-12-10T23:01:00Z
date_published: 2024-02-01T00:00:00Z
date_updated: 2025-09-04T11:32:49Z
day: '01'
department:
- _id: MaMo
doi: 10.1109/TIT.2023.3334032
external_id:
  arxiv:
  - '2211.04408'
  isi:
  - '001166812100008'
intvolume: '        70'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2211.04408
month: '02'
oa: 1
oa_version: Preprint
page: 1008-1039
publication: IEEE Transactions on Information Theory
publication_identifier:
  eissn:
  - 1557-9654
  issn:
  - 0018-9448
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Multiple packing: Lower bounds via error exponents'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 70
year: '2024'
...
---
_id: '17893'
abstract:
- lang: eng
  text: Strong data processing inequalities (SDPI) are an important object of study
    in Information Theory and have been well studied for f -divergences. Universal
    upper and lower bounds have been provided along with several applications, connecting
    them to impossibility (converse) results, concentration of measure, hypercontractivity,
    and so on. In this paper, we study Renyi divergence and the corresponding SDPI
    constant whose behavior seems to deviate from that of ordinary <1>-divergences.
    In particular, one can find examples showing that the universal upper bound relating
    its SDPI constant to the one of Total Variation does not hold in general. In this
    work, we prove, however, that the universal lower bound involving the SDPI constant
    of the Chi-square divergence does indeed hold. Furthermore, we also provide a
    characterization of the distribution that achieves the supremum when is equal
    to 2 and consequently compute the SDPI constant for Renyi divergence of the general
    binary channel.
acknowledgement: "The work in this paper was supported in part by the Swiss National
  Science Foundation under Grant 200364.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Lifu
  full_name: Jin, Lifu
  last_name: Jin
- first_name: Amedeo Roberto
  full_name: Esposito, Amedeo Roberto
  id: 9583e921-e1ad-11ec-9862-cef099626dc9
  last_name: Esposito
- first_name: Michael
  full_name: Gastpar, Michael
  last_name: Gastpar
citation:
  ama: 'Jin L, Esposito AR, Gastpar M. Properties of the strong data processing constant
    for Rényi divergence. In: <i>Proceedings of the 2024 IEEE International Symposium
    on Information Theory</i>. Institute of Electrical and Electronics Engineers;
    2024:3178-3183. doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619367">10.1109/ISIT57864.2024.10619367</a>'
  apa: 'Jin, L., Esposito, A. R., &#38; Gastpar, M. (2024). Properties of the strong
    data processing constant for Rényi divergence. In <i>Proceedings of the 2024 IEEE
    International Symposium on Information Theory</i> (pp. 3178–3183). Athens, Greece:
    Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/ISIT57864.2024.10619367">https://doi.org/10.1109/ISIT57864.2024.10619367</a>'
  chicago: Jin, Lifu, Amedeo Roberto Esposito, and Michael Gastpar. “Properties of
    the Strong Data Processing Constant for Rényi Divergence.” In <i>Proceedings of
    the 2024 IEEE International Symposium on Information Theory</i>, 3178–83. Institute
    of Electrical and Electronics Engineers, 2024. <a href="https://doi.org/10.1109/ISIT57864.2024.10619367">https://doi.org/10.1109/ISIT57864.2024.10619367</a>.
  ieee: L. Jin, A. R. Esposito, and M. Gastpar, “Properties of the strong data processing
    constant for Rényi divergence,” in <i>Proceedings of the 2024 IEEE International
    Symposium on Information Theory</i>, Athens, Greece, 2024, pp. 3178–3183.
  ista: 'Jin L, Esposito AR, Gastpar M. 2024. Properties of the strong data processing
    constant for Rényi divergence. Proceedings of the 2024 IEEE International Symposium
    on Information Theory. ISIT: International Symposium on Information Theory, 3178–3183.'
  mla: Jin, Lifu, et al. “Properties of the Strong Data Processing Constant for Rényi
    Divergence.” <i>Proceedings of the 2024 IEEE International Symposium on Information
    Theory</i>, Institute of Electrical and Electronics Engineers, 2024, pp. 3178–83,
    doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619367">10.1109/ISIT57864.2024.10619367</a>.
  short: L. Jin, A.R. Esposito, M. Gastpar, in:, Proceedings of the 2024 IEEE International
    Symposium on Information Theory, Institute of Electrical and Electronics Engineers,
    2024, pp. 3178–3183.
conference:
  end_date: 2024-07-12
  location: Athens, Greece
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2024-07-07
corr_author: '1'
date_created: 2024-09-08T22:01:12Z
date_published: 2024-08-19T00:00:00Z
date_updated: 2025-09-08T09:18:00Z
day: '19'
department:
- _id: MaMo
doi: 10.1109/ISIT57864.2024.10619367
external_id:
  arxiv:
  - '2403.10656'
  isi:
  - '001304426903055'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 'https://doi.org/10.48550/arXiv.2403.10656 '
month: '08'
oa: 1
oa_version: Preprint
page: 3178-3183
publication: Proceedings of the 2024 IEEE International Symposium on Information Theory
publication_identifier:
  isbn:
  - '9798350382846'
  issn:
  - 2157-8095
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Properties of the strong data processing constant for Rényi divergence
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
_id: '17894'
abstract:
- lang: eng
  text: 'Sibson''s α -mutual information has received renewed attention recently in
    several contexts: concentration of measure under dependence, statistical learning,
    hypothesis testing, and estimation theory. In this work, we introduce several
    variational representations of Sibson''s α -mutual information: 1) as a supremum
    over joint distributions of (a combination of) KL divergences; and 2) as a supremum
    over functions of opportune expected values. Leveraging them, we produce a variety
    of novel and known results, including a generalization of transportation-cost
    inequalities and Fano''s inequality.'
acknowledgement: The work in this paper was supported in part by the Swiss National
  Science Foundation under Grant 200364.
article_processing_charge: No
author:
- first_name: Amedeo Roberto
  full_name: Esposito, Amedeo Roberto
  id: 9583e921-e1ad-11ec-9862-cef099626dc9
  last_name: Esposito
- first_name: Michael
  full_name: Gastpar, Michael
  last_name: Gastpar
- first_name: Ibrahim
  full_name: Issa, Ibrahim
  last_name: Issa
citation:
  ama: 'Esposito AR, Gastpar M, Issa I. Variational characterizations of Sibson’s
    α-mutual information. In: <i>Proceedings of the 2024 IEEE International Symposium
    on Information Theory </i>. Institute of Electrical and Electronics Engineers;
    2024:2110-2115. doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619378">10.1109/ISIT57864.2024.10619378</a>'
  apa: 'Esposito, A. R., Gastpar, M., &#38; Issa, I. (2024). Variational characterizations
    of Sibson’s α-mutual information. In <i>Proceedings of the 2024 IEEE International
    Symposium on Information Theory </i> (pp. 2110–2115). Athens, Greece: Institute
    of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/ISIT57864.2024.10619378">https://doi.org/10.1109/ISIT57864.2024.10619378</a>'
  chicago: Esposito, Amedeo Roberto, Michael Gastpar, and Ibrahim Issa. “Variational
    Characterizations of Sibson’s α-Mutual Information.” In <i>Proceedings of the
    2024 IEEE International Symposium on Information Theory </i>, 2110–15. Institute
    of Electrical and Electronics Engineers, 2024. <a href="https://doi.org/10.1109/ISIT57864.2024.10619378">https://doi.org/10.1109/ISIT57864.2024.10619378</a>.
  ieee: A. R. Esposito, M. Gastpar, and I. Issa, “Variational characterizations of
    Sibson’s α-mutual information,” in <i>Proceedings of the 2024 IEEE International
    Symposium on Information Theory </i>, Athens, Greece, 2024, pp. 2110–2115.
  ista: 'Esposito AR, Gastpar M, Issa I. 2024. Variational characterizations of Sibson’s
    α-mutual information. Proceedings of the 2024 IEEE International Symposium on
    Information Theory . ISIT: International Symposium on Information Theory, 2110–2115.'
  mla: Esposito, Amedeo Roberto, et al. “Variational Characterizations of Sibson’s
    α-Mutual Information.” <i>Proceedings of the 2024 IEEE International Symposium
    on Information Theory </i>, Institute of Electrical and Electronics Engineers,
    2024, pp. 2110–15, doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619378">10.1109/ISIT57864.2024.10619378</a>.
  short: A.R. Esposito, M. Gastpar, I. Issa, in:, Proceedings of the 2024 IEEE International
    Symposium on Information Theory , Institute of Electrical and Electronics Engineers,
    2024, pp. 2110–2115.
conference:
  end_date: 2024-07-12
  location: Athens, Greece
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2024-07-07
corr_author: '1'
date_created: 2024-09-08T22:01:12Z
date_published: 2024-08-19T00:00:00Z
date_updated: 2025-09-08T09:18:44Z
day: '19'
department:
- _id: MaMo
doi: 10.1109/ISIT57864.2024.10619378
external_id:
  isi:
  - '001304426902023'
isi: 1
language:
- iso: eng
month: '08'
oa_version: None
page: 2110-2115
publication: 'Proceedings of the 2024 IEEE International Symposium on Information
  Theory '
publication_identifier:
  isbn:
  - '9798350382846'
  issn:
  - 2157-8095
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Variational characterizations of Sibson's α-mutual information
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
_id: '17895'
abstract:
- lang: eng
  text: We propose a concatenated code construction for a class of discrete-alphabet
    oblivious arbitrarily varying channels (AVCs) with cost constraints. The code
    has time and space complexity polynomial in the blocklength n . It uses a Reed-Solomon
    outer code, logarithmic blocklength random inner codes, and stochastic encoding
    by permuting the codeword before transmission. When the channel satisfies a condition
    called strong DS-nonsymmetrizability (a modified version of nonsymmetrizability
    originally due to Dobrushin and Stambler), we show that the code achieves a rate
    that for a variety of oblivious AVCs (such as classically studied error/erasure
    channels) match the known capacities.
acknowledgement: "The work of M. Langberg and A. D. Sarwate was supported in part
  by the US NSF under awards CCF-1909451 and CCF1909468. B. K. Dey was supported in
  part by the Bharti Centre\r\nfor Communication in IIT Bombay. "
article_processing_charge: No
author:
- first_name: B. K.
  full_name: Dey, B. K.
  last_name: Dey
- first_name: S.
  full_name: Jaggi, S.
  last_name: Jaggi
- first_name: M.
  full_name: Langberg, M.
  last_name: Langberg
- first_name: A. D.
  full_name: Sarwate, A. D.
  last_name: Sarwate
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
citation:
  ama: 'Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. Computationally efficient
    codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs. In: <i>Proceedings
    of the 2024 IEEE International Symposium on Information Theory </i>. Institute
    of Electrical and Electronics Engineers; 2024:1586-1591. doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619362">10.1109/ISIT57864.2024.10619362</a>'
  apa: 'Dey, B. K., Jaggi, S., Langberg, M., Sarwate, A. D., &#38; Zhang, Y. (2024).
    Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable
    oblivious AVCs. In <i>Proceedings of the 2024 IEEE International Symposium on
    Information Theory </i> (pp. 1586–1591). Athens, Greece: Institute of Electrical
    and Electronics Engineers. <a href="https://doi.org/10.1109/ISIT57864.2024.10619362">https://doi.org/10.1109/ISIT57864.2024.10619362</a>'
  chicago: Dey, B. K., S. Jaggi, M. Langberg, A. D. Sarwate, and Yihan Zhang. “Computationally
    Efficient Codes for Strongly Dobrushin-Stambler Nonsymmetrizable Oblivious AVCs.”
    In <i>Proceedings of the 2024 IEEE International Symposium on Information Theory
    </i>, 1586–91. Institute of Electrical and Electronics Engineers, 2024. <a href="https://doi.org/10.1109/ISIT57864.2024.10619362">https://doi.org/10.1109/ISIT57864.2024.10619362</a>.
  ieee: B. K. Dey, S. Jaggi, M. Langberg, A. D. Sarwate, and Y. Zhang, “Computationally
    efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs,”
    in <i>Proceedings of the 2024 IEEE International Symposium on Information Theory
    </i>, Athens, Greece, 2024, pp. 1586–1591.
  ista: 'Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. 2024. Computationally efficient
    codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs. Proceedings
    of the 2024 IEEE International Symposium on Information Theory . ISIT: International
    Symposium on Information Theory, 1586–1591.'
  mla: Dey, B. K., et al. “Computationally Efficient Codes for Strongly Dobrushin-Stambler
    Nonsymmetrizable Oblivious AVCs.” <i>Proceedings of the 2024 IEEE International
    Symposium on Information Theory </i>, Institute of Electrical and Electronics
    Engineers, 2024, pp. 1586–91, doi:<a href="https://doi.org/10.1109/ISIT57864.2024.10619362">10.1109/ISIT57864.2024.10619362</a>.
  short: B.K. Dey, S. Jaggi, M. Langberg, A.D. Sarwate, Y. Zhang, in:, Proceedings
    of the 2024 IEEE International Symposium on Information Theory , Institute of
    Electrical and Electronics Engineers, 2024, pp. 1586–1591.
conference:
  end_date: 2024-07-12
  location: Athens, Greece
  name: 'ISIT: International Symposium on Information Theory'
  start_date: 2024-07-07
date_created: 2024-09-08T22:01:12Z
date_published: 2024-08-19T00:00:00Z
date_updated: 2025-09-08T09:19:25Z
day: '19'
department:
- _id: MaMo
doi: 10.1109/ISIT57864.2024.10619362
external_id:
  isi:
  - '001304426901091'
isi: 1
language:
- iso: eng
month: '08'
oa_version: None
page: 1586-1591
publication: 'Proceedings of the 2024 IEEE International Symposium on Information
  Theory '
publication_identifier:
  isbn:
  - '9798350382846'
  issn:
  - 2157-8095
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable
  oblivious AVCs
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2024'
...
---
OA_type: closed access
_id: '18652'
abstract:
- lang: eng
  text: 'Over the last 70 years, information theory and coding has enabled communication
    technologies that have had an astounding impact on our lives. This is possible
    due to the match between encoding/decoding strategies and corresponding channel
    models. Traditional studies of channels have taken one of two extremes: Shannon-theoretic
    models are inherently average-case in which channel noise is governed by a memoryless
    stochastic process, whereas coding-theoretic (referred to as “Hamming”) models
    take a worst-case, adversarial, view of the noise. However, for several existing
    and emerging communication systems the Shannon/average-case view may be too optimistic,
    whereas the Hamming/worstcase view may be too pessimistic. This monograph takes
    up the challenge of studying adversarial channel models that lie between the Shannon
    and Hamming extremes.'
article_processing_charge: No
article_type: original
author:
- first_name: Bikash Kumar
  full_name: Dey, Bikash Kumar
  last_name: Dey
- first_name: Sidharth
  full_name: Jaggi, Sidharth
  last_name: Jaggi
- first_name: Michael
  full_name: Langberg, Michael
  last_name: Langberg
- first_name: Anand D.
  full_name: Sarwate, Anand D.
  last_name: Sarwate
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
citation:
  ama: 'Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. Codes for adversaries: Between
    worst-case and average-case jamming. <i>Foundations and Trends in Communications
    and Information Theory</i>. 2024;21(3-4):300-588. doi:<a href="https://doi.org/10.1561/0100000112">10.1561/0100000112</a>'
  apa: 'Dey, B. K., Jaggi, S., Langberg, M., Sarwate, A. D., &#38; Zhang, Y. (2024).
    Codes for adversaries: Between worst-case and average-case jamming. <i>Foundations
    and Trends in Communications and Information Theory</i>. Now Publishers. <a href="https://doi.org/10.1561/0100000112">https://doi.org/10.1561/0100000112</a>'
  chicago: 'Dey, Bikash Kumar, Sidharth Jaggi, Michael Langberg, Anand D. Sarwate,
    and Yihan Zhang. “Codes for Adversaries: Between Worst-Case and Average-Case Jamming.”
    <i>Foundations and Trends in Communications and Information Theory</i>. Now Publishers,
    2024. <a href="https://doi.org/10.1561/0100000112">https://doi.org/10.1561/0100000112</a>.'
  ieee: 'B. K. Dey, S. Jaggi, M. Langberg, A. D. Sarwate, and Y. Zhang, “Codes for
    adversaries: Between worst-case and average-case jamming,” <i>Foundations and
    Trends in Communications and Information Theory</i>, vol. 21, no. 3–4. Now Publishers,
    pp. 300–588, 2024.'
  ista: 'Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. 2024. Codes for adversaries:
    Between worst-case and average-case jamming. Foundations and Trends in Communications
    and Information Theory. 21(3–4), 300–588.'
  mla: 'Dey, Bikash Kumar, et al. “Codes for Adversaries: Between Worst-Case and Average-Case
    Jamming.” <i>Foundations and Trends in Communications and Information Theory</i>,
    vol. 21, no. 3–4, Now Publishers, 2024, pp. 300–588, doi:<a href="https://doi.org/10.1561/0100000112">10.1561/0100000112</a>.'
  short: B.K. Dey, S. Jaggi, M. Langberg, A.D. Sarwate, Y. Zhang, Foundations and
    Trends in Communications and Information Theory 21 (2024) 300–588.
corr_author: '1'
date_created: 2024-12-15T23:01:50Z
date_published: 2024-12-03T00:00:00Z
date_updated: 2024-12-16T10:38:44Z
day: '03'
department:
- _id: MaMo
doi: 10.1561/0100000112
intvolume: '        21'
issue: 3-4
language:
- iso: eng
month: '12'
oa_version: None
page: 300-588
publication: Foundations and Trends in Communications and Information Theory
publication_identifier:
  eissn:
  - 1567-2328
  issn:
  - 1567-2190
publication_status: published
publisher: Now Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Codes for adversaries: Between worst-case and average-case jamming'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2024'
...
