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Settling the Robust Learnability of Mixtures of Gaussians
v1v2v3 (latest)

Settling the Robust Learnability of Mixtures of Gaussians

6 November 2020
Allen Liu
Ankur Moitra
ArXiv (abs)PDFHTML

Papers citing "Settling the Robust Learnability of Mixtures of Gaussians"

33 / 33 papers shown
On the Learnability of Distribution Classes with Adaptive Adversaries
On the Learnability of Distribution Classes with Adaptive Adversaries
Tosca Lechner
Alex Bie
Gautam Kamath
181
1
0
05 Sep 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
258
0
0
21 Apr 2025
Factor Adjusted Spectral Clustering for Mixture Models
Factor Adjusted Spectral Clustering for Mixture Models
Shange Tang
Soham Jana
Jianqing Fan
336
2
0
22 Aug 2024
Robust Mixture Learning when Outliers Overwhelm Small Groups
Robust Mixture Learning when Outliers Overwhelm Small Groups
Daniil Dmitriev
Rares-Darius Buhai
Stefan Tiegel
Alexander Wolters
Gleb Novikov
Amartya Sanyal
David Steurer
Fanny Yang
281
1
0
22 Jul 2024
Distribution Learnability and Robustness
Distribution Learnability and Robustness
Shai Ben-David
Alex Bie
Gautam Kamath
Tosca Lechner
371
5
0
25 Jun 2024
Untangling Gaussian Mixtures
Untangling Gaussian MixturesInternational Workshop on Graph-Theoretic Concepts in Computer Science (WG), 2024
Eva Fluck
Sandra Kiefer
Christoph Standke
149
0
0
11 Mar 2024
Clustering Mixtures of Bounded Covariance Distributions Under Optimal
  Separation
Clustering Mixtures of Bounded Covariance Distributions Under Optimal Separation
Ilias Diakonikolas
Daniel M. Kane
Jasper C. H. Lee
Thanasis Pittas
247
1
0
19 Dec 2023
Online Robust Mean Estimation
Online Robust Mean EstimationACM-SIAM Symposium on Discrete Algorithms (SODA), 2023
Daniel M. Kane
Ilias Diakonikolas
Hanshen Xiao
Sihan Liu
OOD
310
4
0
24 Oct 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
Learning quantum Hamiltonians at any temperature in polynomial time
Learning quantum Hamiltonians at any temperature in polynomial timeSymposium on the Theory of Computing (STOC), 2023
Ainesh Bakshi
Allen Liu
Ankur Moitra
Ewin Tang
346
48
0
03 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
Gaussian Mixture Identifiability from degree 6 Moments
Gaussian Mixture Identifiability from degree 6 MomentsAlgebraic Statistics (AS), 2023
Alexander Taveira Blomenhofer
251
4
0
07 Jul 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
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
11
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
299
1
0
01 May 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
376
32
0
07 Mar 2023
Beyond Moments: Robustly Learning Affine Transformations with
  Asymptotically Optimal Error
Beyond Moments: Robustly Learning Affine Transformations with Asymptotically Optimal ErrorIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2023
He Jia
Pravesh Kothari
Santosh Vempala
230
3
0
23 Feb 2023
The Parametric Stability of Well-separated Spherical Gaussian Mixtures
The Parametric Stability of Well-separated Spherical Gaussian Mixtures
Hanyu Zhang
M. Meilă
228
0
0
01 Feb 2023
Efficient Algorithms for Sparse Moment Problems without Separation
Efficient Algorithms for Sparse Moment Problems without SeparationAnnual Conference Computational Learning Theory (COLT), 2022
Zhiyuan Fan
Jun Yu Li
248
9
0
26 Jul 2022
Minimax Rates for Robust Community Detection
Minimax Rates for Robust Community DetectionIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2022
Allen Liu
Ankur Moitra
315
16
0
25 Jul 2022
List-Decodable Covariance Estimation
List-Decodable Covariance EstimationSymposium on the Theory of Computing (STOC), 2022
Misha Ivkov
Pravesh Kothari
249
8
0
22 Jun 2022
Robust Sparse Mean Estimation via Sum of Squares
Robust Sparse Mean Estimation via Sum of SquaresAnnual Conference Computational Learning Theory (COLT), 2022
Ilias Diakonikolas
D. Kane
Sushrut Karmalkar
Ankit Pensia
Thanasis Pittas
503
23
0
07 Jun 2022
Streaming Algorithms for High-Dimensional Robust Statistics
Streaming Algorithms for High-Dimensional Robust StatisticsInternational Conference on Machine Learning (ICML), 2022
Ilias Diakonikolas
D. Kane
Ankit Pensia
Thanasis Pittas
327
25
0
26 Apr 2022
Robust Voting Rules from Algorithmic Robust Statistics
Robust Voting Rules from Algorithmic Robust Statistics
Allen Liu
Ankur Moitra
337
4
0
13 Dec 2021
Beyond Parallel Pancakes: Quasi-Polynomial Time Guarantees for
  Non-Spherical Gaussian Mixtures
Beyond Parallel Pancakes: Quasi-Polynomial Time Guarantees for Non-Spherical Gaussian Mixtures
Rares-Darius Buhai
David Steurer
CoGe
277
4
0
10 Dec 2021
Kalman Filtering with Adversarial Corruptions
Kalman Filtering with Adversarial CorruptionsSymposium on the Theory of Computing (STOC), 2021
Sitan Chen
Frederic Koehler
Ankur Moitra
Morris Yau
AAML
209
10
0
11 Nov 2021
Polynomial-Time Sum-of-Squares Can Robustly Estimate Mean and Covariance
  of Gaussians Optimally
Polynomial-Time Sum-of-Squares Can Robustly Estimate Mean and Covariance of Gaussians OptimallyInternational Conference on Algorithmic Learning Theory (ALT), 2021
Pravesh Kothari
Peter Manohar
Brian Hu Zhang
248
18
0
22 Oct 2021
Estimating Gaussian mixtures using sparse polynomial moment systems
Estimating Gaussian mixtures using sparse polynomial moment systemsSIAM Journal on Mathematics of Data Science (SIMODS), 2021
J. Lindberg
Carlos Améndola
J. Rodriguez
269
13
0
29 Jun 2021
Clustering Mixture Models in Almost-Linear Time via List-Decodable Mean
  Estimation
Clustering Mixture Models in Almost-Linear Time via List-Decodable Mean Estimation
Ilias Diakonikolas
D. Kane
Daniel Kongsgaard
Haibin Zhang
Kevin Tian
FedML
314
22
0
16 Jun 2021
Robust Model Selection and Nearly-Proper Learning for GMMs
Robust Model Selection and Nearly-Proper Learning for GMMsNeural Information Processing Systems (NeurIPS), 2021
Jungshian Li
Allen Liu
Ankur Moitra
335
3
0
05 Jun 2021
Learning GMMs with Nearly Optimal Robustness Guarantees
Learning GMMs with Nearly Optimal Robustness GuaranteesAnnual Conference Computational Learning Theory (COLT), 2021
Allen Liu
Ankur Moitra
346
16
0
19 Apr 2021
Outlier-Robust Learning of Ising Models Under Dobrushin's Condition
Outlier-Robust Learning of Ising Models Under Dobrushin's ConditionAnnual Conference Computational Learning Theory (COLT), 2021
Ilias Diakonikolas
D. Kane
Alistair Stewart
Yuxin Sun
234
18
0
03 Feb 2021
Robustly Learning Mixtures of $k$ Arbitrary Gaussians
Robustly Learning Mixtures of kkk Arbitrary GaussiansSymposium on the Theory of Computing (STOC), 2020
Ainesh Bakshi
Ilias Diakonikolas
Hengrui Jia
D. Kane
Pravesh Kothari
Santosh Vempala
581
73
0
03 Dec 2020
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