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Statistical Query Lower Bounds for Robust Estimation of High-dimensional
  Gaussians and Gaussian Mixtures
v1v2 (latest)

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

10 November 2016
Ilias Diakonikolas
D. Kane
Alistair Stewart
ArXiv (abs)PDFHTML

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

50 / 178 papers shown
PTF Testing Lower Bounds for Non-Gaussian Component Analysis
PTF Testing Lower Bounds for Non-Gaussian Component Analysis
Ilias Diakonikolas
D. Kane
Sihan Liu
Thanasis Pittas
132
1
0
24 Nov 2025
Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
Ilias Diakonikolas
Chao Gao
D. Kane
John D. Lafferty
Ankit Pensia
FedML
131
0
0
12 Oct 2025
On the Statistical Query Complexity of Learning Semiautomata: a Random Walk Approach
On the Statistical Query Complexity of Learning Semiautomata: a Random Walk Approach
George Giapitzakis
Kimon Fountoulakis
Eshaan Nichani
Jason D. Lee
AAML
216
1
0
05 Oct 2025
An Optimized Franz-Parisi Criterion and its Equivalence with SQ Lower Bounds
An Optimized Franz-Parisi Criterion and its Equivalence with SQ Lower Bounds
Siyu Chen
Theodor Misiakiewicz
Ilias Zadik
Peiyuan Zhang
217
1
0
06 Jun 2025
On Learning Parallel Pancakes with Mostly Uniform Weights
On Learning Parallel Pancakes with Mostly Uniform Weights
Ilias Diakonikolas
D. Kane
Sushrut Karmalkar
Jasper C. H. Lee
Thanasis Pittas
CoGe
260
0
0
21 Apr 2025
Feature learning from non-Gaussian inputs: the case of Independent Component Analysis in high dimensions
Feature learning from non-Gaussian inputs: the case of Independent Component Analysis in high dimensions
Fabiola Ricci
Lorenzo Bardone
Sebastian Goldt
OOD
496
5
0
31 Mar 2025
Improved Robust Estimation for Erdős-Rényi Graphs: The Sparse Regime and Optimal Breakdown Point
Improved Robust Estimation for Erdős-Rényi Graphs: The Sparse Regime and Optimal Breakdown Point
Hongjie Chen
Jingqiu Ding
Yiding Hua
Stefan Tiegel
283
0
0
05 Mar 2025
SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More
SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and MoreSymposium on the Theory of Computing (STOC), 2024
Ilias Diakonikolas
Samuel B. Hopkins
Ankit Pensia
Stefan Tiegel
268
4
0
31 Dec 2024
Reliable Learning of Halfspaces under Gaussian MarginalsNeural Information Processing Systems (NeurIPS), 2024
Ilias Diakonikolas
Lisheng Ren
Nikos Zarifis
302
0
0
18 Nov 2024
Sample-Efficient Private Learning of Mixtures of Gaussians
Sample-Efficient Private Learning of Mixtures of GaussiansNeural Information Processing Systems (NeurIPS), 2024
Hassan Ashtiani
Mahbod Majid
Shyam Narayanan
FedML
203
0
0
04 Nov 2024
Robust Sparse Regression with Non-Isotropic Designs
Robust Sparse Regression with Non-Isotropic DesignsNeural Information Processing Systems (NeurIPS), 2024
Chih-Hung Liu
Gleb Novikov
392
2
0
31 Oct 2024
Sum-of-squares lower bounds for Non-Gaussian Component Analysis
Sum-of-squares lower bounds for Non-Gaussian Component AnalysisIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2024
Ilias Diakonikolas
Sushrut Karmalkar
Shuo Pang
Aaron Potechin
174
8
0
28 Oct 2024
SoS Certifiability of Subgaussian Distributions and its Algorithmic
  Applications
SoS Certifiability of Subgaussian Distributions and its Algorithmic ApplicationsSymposium on the Theory of Computing (STOC), 2024
Ilias Diakonikolas
Samuel B. Hopkins
Ankit Pensia
Stefan Tiegel
314
12
0
28 Oct 2024
Sparse Linear Regression when Noises and Covariates are Heavy-Tailed and
  Contaminated by Outliers
Sparse Linear Regression when Noises and Covariates are Heavy-Tailed and Contaminated by OutliersElectronic Journal of Statistics (EJS), 2024
Takeyuki Sasai
Hironori Fujisawa
408
0
0
02 Aug 2024
Distribution Learnability and Robustness
Distribution Learnability and Robustness
Shai Ben-David
Alex Bie
Gautam Kamath
Tosca Lechner
375
5
0
25 Jun 2024
Active clustering with bandit feedback
Active clustering with bandit feedback
Victor Thuot
Alexandra Carpentier
Christophe Giraud
Nicolas Verzélen
304
8
0
17 Jun 2024
Robust Kernel Hypothesis Testing under Data Corruption
Robust Kernel Hypothesis Testing under Data Corruption
Antonin Schrab
Ilmun Kim
577
9
0
30 May 2024
Cryptographic Hardness of Score Estimation
Cryptographic Hardness of Score EstimationNeural Information Processing Systems (NeurIPS), 2024
Min Jae Song
318
2
0
04 Apr 2024
Robust Sparse Estimation for Gaussians with Optimal Error under Huber
  Contamination
Robust Sparse Estimation for Gaussians with Optimal Error under Huber Contamination
Ilias Diakonikolas
Daniel M. Kane
Sushrut Karmalkar
Ankit Pensia
Thanasis Pittas
240
1
0
15 Mar 2024
Robust Second-Order Nonconvex Optimization and Its Application to Low
  Rank Matrix Sensing
Robust Second-Order Nonconvex Optimization and Its Application to Low Rank Matrix SensingNeural Information Processing Systems (NeurIPS), 2024
Shuyao Li
Yu Cheng
Ilias Diakonikolas
Jelena Diakonikolas
Rong Ge
Stephen J. Wright
259
3
0
12 Mar 2024
SQ Lower Bounds for Non-Gaussian Component Analysis with Weaker
  Assumptions
SQ Lower Bounds for Non-Gaussian Component Analysis with Weaker AssumptionsNeural Information Processing Systems (NeurIPS), 2024
Ilias Diakonikolas
Daniel M. Kane
Lisheng Ren
Yuxin Sun
261
16
0
07 Mar 2024
A Sub-Quadratic Time Algorithm for Robust Sparse Mean Estimation
A Sub-Quadratic Time Algorithm for Robust Sparse Mean EstimationInternational Conference on Machine Learning (ICML), 2024
Ankit Pensia
265
0
0
07 Mar 2024
Statistical Query Lower Bounds for Learning Truncated Gaussians
Statistical Query Lower Bounds for Learning Truncated Gaussians
Ilias Diakonikolas
Daniel M. Kane
Thanasis Pittas
Nikos Zarifis
245
6
0
04 Mar 2024
Improved Hardness Results for Learning Intersections of Halfspaces
Improved Hardness Results for Learning Intersections of Halfspaces
Stefan Tiegel
144
6
0
25 Feb 2024
Computational-Statistical Gaps for Improper Learning in Sparse Linear
  Regression
Computational-Statistical Gaps for Improper Learning in Sparse Linear Regression
Rares-Darius Buhai
Jingqiu Ding
Stefan Tiegel
268
5
0
21 Feb 2024
Learning from higher-order statistics, efficiently: hypothesis tests,
  random features, and neural networks
Learning from higher-order statistics, efficiently: hypothesis tests, random features, and neural networks
Eszter Székely
Lorenzo Bardone
Federica Gerace
Sebastian Goldt
436
3
0
22 Dec 2023
Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity
Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of InteractivityAnnual Conference Computational Learning Theory (COLT), 2023
A. F. Pour
Hassan Ashtiani
S. Asoodeh
291
2
0
09 Dec 2023
Near-Optimal Algorithms for Gaussians with Huber Contamination: Mean
  Estimation and Linear Regression
Near-Optimal Algorithms for Gaussians with Huber Contamination: Mean Estimation and Linear RegressionNeural Information Processing Systems (NeurIPS), 2023
Ilias Diakonikolas
Daniel M. Kane
Ankit Pensia
Thanasis Pittas
422
7
0
04 Dec 2023
SQ Lower Bounds for Learning Mixtures of Linear Classifiers
SQ Lower Bounds for Learning Mixtures of Linear ClassifiersNeural Information Processing Systems (NeurIPS), 2023
Ilias Diakonikolas
D. Kane
Yuxin Sun
365
4
0
18 Oct 2023
Better and Simpler Lower Bounds for Differentially Private Statistical
  Estimation
Better and Simpler Lower Bounds for Differentially Private Statistical EstimationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
Shyam Narayanan
FedML
356
15
0
10 Oct 2023
Mixtures of Gaussians are Privately Learnable with a Polynomial Number
  of Samples
Mixtures of Gaussians are Privately Learnable with a Polynomial Number of SamplesInternational Conference on Algorithmic Learning Theory (ALT), 2023
Mohammad Afzali
H. Ashtiani
Christopher Liaw
432
7
0
07 Sep 2023
On Single Index Models beyond Gaussian Data
On Single Index Models beyond Gaussian DataNeural Information Processing Systems (NeurIPS), 2023
Joan Bruna
Loucas Pillaud-Vivien
Aaron Zweig
305
15
0
28 Jul 2023
The Full Landscape of Robust Mean Testing: Sharp Separations between
  Oblivious and Adaptive Contamination
The Full Landscape of Robust Mean Testing: Sharp Separations between Oblivious and Adaptive ContaminationIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2023
C. Canonne
Samuel B. Hopkins
Jungshian Li
Allen Liu
Shyam Narayanan
AAML
322
8
0
18 Jul 2023
Near-Optimal Bounds for Learning Gaussian Halfspaces with Random
  Classification Noise
Near-Optimal Bounds for Learning Gaussian Halfspaces with Random Classification NoiseNeural Information Processing Systems (NeurIPS), 2023
Ilias Diakonikolas
Jelena Diakonikolas
D. Kane
Puqian Wang
Nikos Zarifis
206
5
0
13 Jul 2023
Learning Mixtures of Gaussians Using the DDPM Objective
Learning Mixtures of Gaussians Using the DDPM ObjectiveNeural Information Processing Systems (NeurIPS), 2023
Kulin Shah
Sitan Chen
Adam R. Klivans
DiffM
312
59
0
03 Jul 2023
Information-Computation Tradeoffs for Learning Margin Halfspaces with
  Random Classification Noise
Information-Computation Tradeoffs for Learning Margin Halfspaces with Random Classification NoiseAnnual Conference Computational Learning Theory (COLT), 2023
Ilias Diakonikolas
Jelena Diakonikolas
D. Kane
Puqian Wang
Nikos Zarifis
219
7
0
28 Jun 2023
SQ Lower Bounds for Learning Bounded Covariance GMMs
SQ Lower Bounds for Learning Bounded Covariance GMMs
Ilias Diakonikolas
D. Kane
Thanasis Pittas
Nikos Zarifis
266
0
0
22 Jun 2023
Bayes optimal learning in high-dimensional linear regression with
  network side information
Bayes optimal learning in high-dimensional linear regression with network side informationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
Sagnik Nandy
Subhabrata Sen
396
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0
09 Jun 2023
Attribute-Efficient PAC Learning of Low-Degree Polynomial Threshold
  Functions with Nasty Noise
Attribute-Efficient PAC Learning of Low-Degree Polynomial Threshold Functions with Nasty NoiseInternational Conference on Machine Learning (ICML), 2023
Shiwei Zeng
Jie Shen
386
1
0
01 Jun 2023
Sparse Mean Estimation in Adversarial Settings via Incremental Learning
Sparse Mean Estimation in Adversarial Settings via Incremental Learning
Jianhao Ma
Ruidi Chen
Yinghui He
Salar Fattahi
Wei Hu
395
0
0
24 May 2023
Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample
  Complexity for Learning Single Index Models
Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample Complexity for Learning Single Index ModelsNeural Information Processing Systems (NeurIPS), 2023
Alexandru Damian
Eshaan Nichani
Rong Ge
Jason D. Lee
MLT
425
56
0
18 May 2023
Algorithmic Decorrelation and Planted Clique in Dependent Random Graphs:
  The Case of Extra Triangles
Algorithmic Decorrelation and Planted Clique in Dependent Random Graphs: The Case of Extra TrianglesIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2023
Guy Bresler
Chenghao Guo
Yury Polyanskiy
233
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17 May 2023
On the average-case complexity of learning output distributions of quantum circuits
On the average-case complexity of learning output distributions of quantum circuitsQuantum (Quantum), 2023
A. Nietner
M. Ioannou
R. Sweke
R. Kueng
Jens Eisert
M. Hinsche
J. Haferkamp
287
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0
09 May 2023
Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCA
Nearly-Linear Time and Streaming Algorithms for Outlier-Robust PCAInternational Conference on Machine Learning (ICML), 2023
Ilias Diakonikolas
D. Kane
Ankit Pensia
Thanasis Pittas
OOD
281
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0
04 May 2023
A Spectral Algorithm for List-Decodable Covariance Estimation in
  Relative Frobenius Norm
A Spectral Algorithm for List-Decodable Covariance Estimation in Relative Frobenius NormNeural Information Processing Systems (NeurIPS), 2023
Ilias Diakonikolas
D. Kane
Jasper C. H. Lee
Ankit Pensia
Thanasis Pittas
305
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0
01 May 2023
Codivergences and information matrices
Codivergences and information matricesInformation Geometry (IG), 2023
A. Derumigny
Johannes Schmidt-Hieber
404
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14 Mar 2023
Polynomial Time and Private Learning of Unbounded Gaussian Mixture
  Models
Polynomial Time and Private Learning of Unbounded Gaussian Mixture ModelsInternational Conference on Machine Learning (ICML), 2023
Jamil Arbas
H. Ashtiani
Christopher Liaw
378
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07 Mar 2023
Robust Mean Estimation Without Moments for Symmetric Distributions
Robust Mean Estimation Without Moments for Symmetric DistributionsNeural Information Processing Systems (NeurIPS), 2023
Gleb Novikov
David Steurer
Stefan Tiegel
OOD
326
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Near-Optimal Cryptographic Hardness of Agnostically Learning Halfspaces
  and ReLU Regression under Gaussian Marginals
Near-Optimal Cryptographic Hardness of Agnostically Learning Halfspaces and ReLU Regression under Gaussian MarginalsInternational Conference on Machine Learning (ICML), 2023
Ilias Diakonikolas
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Lisheng Ren
272
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13 Feb 2023
Planted Bipartite Graph Detection
Planted Bipartite Graph DetectionIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
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Wasim Huleihel
O. Shayevitz
261
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