Statistical Query Lower Bounds for Robust Estimation of High-dimensional Gaussians and Gaussian Mixtures

10 November 2016

Papers citing "Statistical Query Lower Bounds for Robust Estimation of High-dimensional Gaussians and Gaussian Mixtures"

50 / 71 papers shown

Title
Improved Robust Estimation for Erdős-Rényi Graphs: The Sparse Regime and Optimal Breakdown Point Hongjie Chen Jingqiu Ding Yiding Hua Stefan Tiegel 68 0 0 05 Mar 2025
Robust Kernel Hypothesis Testing under Data Corruption Antonin Schrab Ilmun Kim 53 3 0 30 May 2024
Robust Sparse Estimation for Gaussians with Optimal Error under Huber Contamination Ilias Diakonikolas Daniel M. Kane Sushrut Karmalkar Ankit Pensia Thanasis Pittas 39 0 0 15 Mar 2024
Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity A. F. Pour Hassan Ashtiani S. Asoodeh 51 0 0 09 Dec 2023
SQ Lower Bounds for Learning Mixtures of Linear Classifiers Ilias Diakonikolas D. Kane Yuxin Sun 30 3 0 18 Oct 2023
On Single Index Models beyond Gaussian Data Joan Bruna Loucas Pillaud-Vivien Aaron Zweig 20 10 0 28 Jul 2023
Near-Optimal Bounds for Learning Gaussian Halfspaces with Random Classification Noise Ilias Diakonikolas Jelena Diakonikolas D. Kane Puqian Wang Nikos Zarifis 34 2 0 13 Jul 2023
SQ Lower Bounds for Learning Bounded Covariance GMMs Ilias Diakonikolas D. Kane Thanasis Pittas Nikos Zarifis 40 0 0 22 Jun 2023
Robust Sparse Mean Estimation via Incremental Learning Jianhao Ma Ruidi Chen Yinghui He S. Fattahi Wei Hu 41 0 0 24 May 2023
Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample Complexity for Learning Single Index Models Alexandru Damian Eshaan Nichani Rong Ge Jason D. Lee MLT 44 33 0 18 May 2023
On the average-case complexity of learning output distributions of quantum circuits A. Nietner M. Ioannou R. Sweke R. Kueng Jens Eisert M. Hinsche J. Haferkamp 36 11 0 09 May 2023
Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCA Ilias Diakonikolas D. Kane Ankit Pensia Thanasis Pittas OOD 40 10 0 04 May 2023
Codivergences and information matrices A. Derumigny Johannes Schmidt-Hieber 25 1 0 14 Mar 2023
Polynomial Time and Private Learning of Unbounded Gaussian Mixture Models Jamil Arbas H. Ashtiani Christopher Liaw 45 23 0 07 Mar 2023
Near-Optimal Cryptographic Hardness of Agnostically Learning Halfspaces and ReLU Regression under Gaussian Marginals Ilias Diakonikolas D. Kane Lisheng Ren 30 26 0 13 Feb 2023
SQ Lower Bounds for Random Sparse Planted Vector Problem Jingqiu Ding Yiding Hua 24 4 0 26 Jan 2023
Statistically Optimal Robust Mean and Covariance Estimation for Anisotropic Gaussians A. Minasyan Nikita Zhivotovskiy 38 9 0 21 Jan 2023
Robustness Implies Privacy in Statistical Estimation Samuel B. Hopkins Gautam Kamath Mahbod Majid Shyam Narayanan 23 50 0 09 Dec 2022
Outlier-Robust Sparse Mean Estimation for Heavy-Tailed Distributions Ilias Diakonikolas D. Kane Jasper C. H. Lee Ankit Pensia 30 12 0 29 Nov 2022
Average-Case Complexity of Tensor Decomposition for Low-Degree Polynomials Alexander S. Wein 37 9 0 10 Nov 2022
Gaussian Mean Testing Made Simple Ilias Diakonikolas D. Kane Ankit Pensia 28 5 0 25 Oct 2022
SQ Lower Bounds for Learning Single Neurons with Massart Noise Ilias Diakonikolas D. Kane Lisheng Ren Yuxin Sun 30 6 0 18 Oct 2022
A Fourier Approach to Mixture Learning Mingda Qiao Guru Guruganesh A. S. Rawat Kumar Avinava Dubey Manzil Zaheer 25 3 0 05 Oct 2022
Outlier Robust and Sparse Estimation of Linear Regression Coefficients Takeyuki Sasai Hironori Fujisawa 35 4 0 24 Aug 2022
Robust Methods for High-Dimensional Linear Learning Ibrahim Merad Stéphane Gaïffas OOD 55 3 0 10 Aug 2022
List-Decodable Covariance Estimation Misha Ivkov Pravesh Kothari 28 7 0 22 Jun 2022
Optimal SQ Lower Bounds for Robustly Learning Discrete Product Distributions and Ising Models Ilias Diakonikolas D. Kane Yuxin Sun 33 1 0 09 Jun 2022
Robust Sparse Mean Estimation via Sum of Squares Ilias Diakonikolas D. Kane Sushrut Karmalkar Ankit Pensia Thanasis Pittas 30 21 0 07 Jun 2022
List-Decodable Sparse Mean Estimation Shiwei Zeng Jie Shen 37 9 0 28 May 2022
Robust Testing in High-Dimensional Sparse Models Anand George C. Canonne 48 3 0 16 May 2022
Continuous LWE is as Hard as LWE & Applications to Learning Gaussian Mixtures A. Gupte Neekon Vafa Vinod Vaikuntanathan 36 39 0 06 Apr 2022
Non-Gaussian Component Analysis via Lattice Basis Reduction Ilias Diakonikolas D. Kane 41 18 0 16 Dec 2021
Lattice-Based Methods Surpass Sum-of-Squares in Clustering Ilias Zadik M. Song Alexander S. Wein Joan Bruna 24 35 0 07 Dec 2021
Clustering Mixtures with Almost Optimal Separation in Polynomial Time Jingkai Li Allen Liu 30 23 0 01 Dec 2021
Polynomial-Time Sum-of-Squares Can Robustly Estimate Mean and Covariance of Gaussians Optimally Pravesh Kothari Peter Manohar Brian Hu Zhang 25 16 0 22 Oct 2021
Learnability of the output distributions of local quantum circuits M. Hinsche M. Ioannou A. Nietner J. Haferkamp Yihui Quek D. Hangleiter Jean-Pierre Seifert Jens Eisert R. Sweke 35 17 0 11 Oct 2021
Inferring Hidden Structures in Random Graphs Wasim Huleihel 21 7 0 05 Oct 2021
Outlier-Robust Sparse Estimation via Non-Convex Optimization Yu Cheng Ilias Diakonikolas Rong Ge Shivam Gupta D. Kane Mahdi Soltanolkotabi 52 13 0 23 Sep 2021
SPECTRE: Defending Against Backdoor Attacks Using Robust Statistics J. Hayase Weihao Kong Raghav Somani Sewoong Oh AAML 29 150 0 22 Apr 2021
Learning GMMs with Nearly Optimal Robustness Guarantees Allen Liu Ankur Moitra 26 15 0 19 Apr 2021
Algorithmic Obstructions in the Random Number Partitioning Problem D. Gamarnik Eren C. Kizildaug 31 21 0 02 Mar 2021
Near-Optimal Statistical Query Hardness of Learning Halfspaces with Massart Noise Ilias Diakonikolas D. Kane 26 24 0 17 Dec 2020
Small Covers for Near-Zero Sets of Polynomials and Learning Latent Variable Models Ilias Diakonikolas D. Kane 21 32 0 14 Dec 2020
On InstaHide, Phase Retrieval, and Sparse Matrix Factorization Sitan Chen Xiaoxiao Li Zhao Song Danyang Zhuo 27 13 0 23 Nov 2020
Robust High Dimensional Expectation Maximization Algorithm via Trimmed Hard Thresholding Di Wang Xiangyu Guo Shi Li Jinhui Xu 23 3 0 19 Oct 2020
Statistical Query Algorithms and Low-Degree Tests Are Almost Equivalent Matthew Brennan Guy Bresler Samuel B. Hopkins Jingkai Li T. Schramm 29 62 0 13 Sep 2020
Near-Optimal SQ Lower Bounds for Agnostically Learning Halfspaces and ReLUs under Gaussian Marginals Ilias Diakonikolas D. Kane Nikos Zarifis 27 66 0 29 Jun 2020
Computationally efficient sparse clustering Matthias Löffler Alexander S. Wein Afonso S. Bandeira 41 14 0 21 May 2020
Tensor Clustering with Planted Structures: Statistical Optimality and Computational Limits Yuetian Luo Anru R. Zhang 51 44 0 21 May 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage Matthew Brennan Guy Bresler 38 86 0 16 May 2020