Unified Theory of Efficient Optimization and Estimation

Project Information

UTOPEST

Grant agreement ID: 815464

DOI

10.3030/815464

Project closed

EC signature date 19 December 2018

Start date 1 March 2019

End date 31 August 2024

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 993 320,00

EU contribution

€ 1 993 320,00

Coordinated by

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Switzerland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (32)

Private Graphon Estimation via Sum-of-Squares

Author(s): Hongjie Chen, Jingqiu Ding, Tommaso D'Orsi, Yiding Hua, Chih-Hung Liu, David Steurer
Published in: Proceedings of the 56th Annual ACM Symposium on Theory of Computing, 2025, Page(s) 172-182
Publisher: ACM
DOI: 10.1145/3618260.3649643

Consistent Estimation for PCA and Sparse Regression with Oblivious Outliers

Author(s): d'Orsi, Tommaso; Liu, Chih-Hung; Nasser, Rajai; Novikov, Gleb; Steurer, David; Tiegel, Stefan
Published in: Advances in Neural Information Processing Systems 34, Issue 2, 2021
Publisher: Curran Associates, Inc.
DOI: 10.3929/ethz-b-000516042

Robust Mixture Learning when Outliers Overwhelm Small Groups

Author(s): Rares-Darius Buhai, Daniil Dmitriev, Gleb Novikov, Amartya Sanyal, David Steurer, Stefan Tiegel, Alexander Wolters, Fanny Yang
Published in: Advances in Neural Information Processing Systems 37, 2025, Page(s) 100042-100082
Publisher: Neural Information Processing Systems Foundation, Inc. (NeurIPS)
DOI: 10.52202/079017-3174

Estimating Rank-One Spikes from Heavy-Tailed Noise via Self-Avoiding Walks

Author(s): Jingqiu Ding, Samuel B. Hopkins, David Steurer
Published in: Advances in Neural Information Processing Systems 33, 2020
Publisher: Annual Conference on Neural Information Processing Systems 2020, NeurIPS 2020

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More

Author(s): Ilias Diakonikolas, Samuel B. Hopkins, Ankit Pensia, Stefan Tiegel
Published in: Proceedings of the 57th Annual ACM Symposium on Theory of Computing, 2025, Page(s) 1701-1709
Publisher: ACM
DOI: 10.1145/3717823.3718293

Sparse PCA: Algorithms, Adversarial Perturbations and Certificates

Author(s): Tommaso d'Orsi, Pravesh K. Kothari, Gleb Novikov, David Steurer
Published in: FOCS, 2020
Publisher: {IEEE} Computer Society

Improved Hardness Results for Learning Intersections of Halfspaces

Author(s): Tiegel, Stefan
Published in: Proceedings of Machine Learning Research, 247, Issue 2, 2024
Publisher: PMLR
DOI: 10.3929/ethz-b-000713948

SQ Lower Bounds for Random Sparse Planted Vector Problem

Author(s): Ding, Jingqiu; Hua, Yiding
Published in: Proceedings of Machine Learning Research, 201, Issue 1, 2023
Publisher: pmlr
DOI: 10.48550/arxiv.2301.11124

Reaching Kesten-Stigum Threshold in the Stochastic Block Model under Node Corruptions

Author(s): Ding, Jingqiu; d'Orsi, Tommaso; Hua, Yiding; Steurer, David
Published in: COLT 2023, Issue 5, 2023
Publisher: pmlr
DOI: 10.48550/arxiv.2305.10227

Optimal SQ Lower Bounds for Learning Halfspaces with Massart Noise

Author(s): Nasser, Rajai; Tiegel, Stefan
Published in: Proceedings of Thirty Fifth Conference on Learning Theory, Issue 1, 2022
Publisher: pmlr
DOI: 10.48550/arxiv.2201.09818

SoS Certifiability of Subgaussian Distributions and Its Algorithmic Applications

Author(s): Ilias Diakonikolas, Samuel B. Hopkins, Ankit Pensia, Stefan Tiegel
Published in: Proceedings of the 57th Annual ACM Symposium on Theory of Computing, 2025, Page(s) 1689-1700
Publisher: ACM
DOI: 10.1145/3717823.3718183

Robust recovery for stochastic block models

Author(s): Jingqiu Ding, Tommaso d'Orsi, Rajai Nasser, David Steurer
Published in: FOCS, Issue 2021, 2021
Publisher: IEEE

Testably Learning Polynomial Threshold Functions

Author(s): Lucas Slot, Stefan Tiegel, Manuel Wiedmer
Published in: Advances in Neural Information Processing Systems 37, 2025, Page(s) 3781-3831
Publisher: Neural Information Processing Systems Foundation, Inc. (NeurIPS)
DOI: 10.52202/079017-0124

Robust Mean Estimation Without a Mean: Dimension-Independent Error in Polynomial Time for Symmetric Distributions

Author(s): Novikov, Gleb; Steurer, David; Tiegel, Stefan
Published in: neurips 2023, Issue 1, 2023
Publisher: pmlr
DOI: 10.48550/arxiv.2302.10844

Sample-Optimal Private Regression in Polynomial Time

Author(s): Prashanti Anderson, Ainesh Bakshi, Mahbod Majid, Stefan Tiegel
Published in: Proceedings of the 57th Annual ACM Symposium on Theory of Computing, 2025, Page(s) 2341-2349
Publisher: ACM
DOI: 10.1145/3717823.3718218

Private estimation algorithms for stochastic block models and mixture models

Author(s): Chen, Hongjie; Cohen-Addad, Vincent; d'Orsi, Tommaso; Epasto, Alessandro; Imola, Jacob; Steurer, David; Tiegel, Stefan
Published in: neurips 2023, Issue 5, 2023
Publisher: neurips
DOI: 10.48550/arxiv.2301.04822

Robust recovery for stochastic block models

Author(s): Jingqiu Ding; Tommaso D'Orsi; Rajai Nasser; David Steurer
Published in: 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS), Issue 1, 2021
Publisher: ieee
DOI: 10.1109/focs52979.2021.00046

Algorithms Approaching the Threshold for Semi-random Planted Clique

Author(s): Rares-Darius Buhai; Pravesh K. Kothari; David Steurer
Published in: STOC 2023: Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Issue 5, 2023
Publisher: acm
DOI: 10.1145/3564246.3585184

Fast algorithm for overcomplete order-3 tensor decomposition

Author(s): Ding, Jingqiu; d'Orsi, Tommaso; Liu, Chih-Hung; Tiegel, Stefan; Steurer, David
Published in: Proceedings of Thirty Fifth Conference on Learning Theory, Issue 1, 2022
Publisher: pmlr
DOI: 10.48550/arxiv.2202.06442

Higher degree sum-of-squares relaxations robust against oblivious outliers

Author(s): Tommaso d'Orsi; Rajai Nasser; Gleb Novikov; David Steurer
Published in: Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Issue 4, 2023
Publisher: acm siam
DOI: 10.1137/1.9781611977554.ch134

SoS Degree Reduction with Applications to Clustering and Robust Moment Estimation

Author(s): David Steurer, Stefan Tiegel
Published in: Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA), 2021, Page(s) 374-393, ISBN 978-1-61197-646-5
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611976465.24

Beyond Parallel Pancakes: Quasi-Polynomial Time Guarantees for Non-Spherical Gaussian Mixtures

Author(s): Buhai, Rares-Darius; Steurer, David
Published in: COLT 2023, 2023
Publisher: Proceedings of Machine Learning Research
DOI: 10.48550/arxiv.2112.05445

Private Edge Density Estimation for Random Graphs: Optimal, Efficient and Robust

Author(s): Hongjie Chen, Jingqiu Ding, Yiding Hua, David Steurer
Published in: Advances in Neural Information Processing Systems 37, 2025, Page(s) 90771-90817
Publisher: Neural Information Processing Systems Foundation, Inc. (NeurIPS)
DOI: 10.52202/079017-2882

Hardness of Agnostically Learning Halfspaces from Worst-Case Lattice Problems

Author(s): Tiegel, Stefan
Published in: 36th COLT 2023, 2023
Publisher: PMLR
DOI: 10.48550/arxiv.2207.14030

Semirandom Planted Clique and the Restricted Isometry Property

Author(s): Jarosław Błasiok, Rares-Darius Buhai, Pravesh K. Kothari, David Steurer
Published in: 2024 IEEE 65th Annual Symposium on Foundations of Computer Science (FOCS), 2024, Page(s) 959-969
Publisher: IEEE
DOI: 10.1109/focs61266.2024.00064

Consistent regression when oblivious outliers overwhelm

Author(s): d'Orsi, Tommaso; Novikov, Gleb; Steurer, David
Published in: Proceedings of Machine Learning Research, 139, Issue 5, 2020
Publisher: icmlr
DOI: 10.48550/arxiv.2009.14774

Consistent regression when oblivious outliers overwhelm

Author(s): d'Orsi, Tommaso; Novikov, Gleb; Steurer, David
Published in: Proceedings of Machine Learning Research, 139, Issue 1, 2021
Publisher: PMLR

Sparse PCA Beyond Covariance Thresholding

Author(s): Novikov, Gleb
Published in: colt 2023, Issue 1, 2023
Publisher: pmlr
DOI: 10.48550/arxiv.2302.10158

The Complexity of Sparse Tensor PCA

Author(s): Choo, Davin; d'Orsi, Tommaso
Published in: Advances in Neural Information Processing Systems 34, Issue 1, 2021
Publisher: Curran Associates, Inc.
DOI: 10.3929/ethz-b-000520768

A Ihara-Bass Formula for Non-Boolean Matrices and Strong Refutations of Random CSPs

Author(s): d'Orsi, Tommaso; Trevisan, Luca
Published in: 38th Computational Complexity Conference, CCC 2023, Issue 5, 2023
Publisher: Dagstuhl - Leibniz-Zentrum für Informatik
DOI: 10.48550/arxiv.2204.10881

On the well-spread property and its relation to linear regression

Author(s): Chen, Hongjie; d'Orsi, Tommaso
Published in: Proceedings of Thirty Fifth Conference on Learning Theory, Issue 5, 2022
Publisher: PMLR
DOI: 10.3929/ethz-b-000584641

Consistent Estimation for PCA and Sparse Regression with Oblivious Outliers

Author(s): Tommaso d'Orsi, Chih-Hung Liu, Rajai Nasser, Gleb Novikov, David Steurer, Stefan Tiegel
Published in: 2021
Publisher: Curran Associates, Inc.

Book chapters (1)

Outlier-robust Mean Estimation near the Breakdown Point via Sum-of-Squares

Author(s): Hongjie Chen, Deepak Narayanan Sridharan, David Steurer
Published in: Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2025, Page(s) 3277-3309
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611978322.105