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On the best approximation by finite Gaussian mixtures
v1v2 (latest)

On the best approximation by finite Gaussian mixtures

13 April 2024
Yun Ma
Yihong Wu
Pengkun Yang
ArXiv (abs)PDFHTMLGithub

Papers citing "On the best approximation by finite Gaussian mixtures"

20 / 20 papers shown
Factor Adjusted Spectral Clustering for Mixture Models
Factor Adjusted Spectral Clustering for Mixture Models
Shange Tang
Soham Jana
Jianqing Fan
337
2
0
22 Aug 2024
Entropic characterization of optimal rates for learning Gaussian
  mixtures
Entropic characterization of optimal rates for learning Gaussian mixturesAnnual Conference Computational Learning Theory (COLT), 2023
Zeyu Jia
Yury Polyanskiy
Yihong Wu
382
8
0
21 Jun 2023
A New Probabilistic Distance Metric With Application In Gaussian Mixture
  Reduction
A New Probabilistic Distance Metric With Application In Gaussian Mixture ReductionIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2023
A. Sajedi
Y. Lawryshyn
Konstantinos N. Plataniotis
231
5
0
12 Jun 2023
Empirical Bayes estimation: When does $g$-modeling beat $f$-modeling in
  theory (and in practice)?
Empirical Bayes estimation: When does ggg-modeling beat fff-modeling in theory (and in practice)?
Yandi Shen
Yihong Wu
274
10
0
23 Nov 2022
Rate of convergence of the smoothed empirical Wasserstein distance
Rate of convergence of the smoothed empirical Wasserstein distance
Adam Block
Zeyu Jia
Yury Polyanskiy
Alexander Rakhlin
193
10
0
04 May 2022
Sharp regret bounds for empirical Bayes and compound decision problems
Sharp regret bounds for empirical Bayes and compound decision problems
Yury Polyanskiy
Yihong Wu
260
26
0
08 Sep 2021
Multivariate, Heteroscedastic Empirical Bayes via Nonparametric Maximum
  Likelihood
Multivariate, Heteroscedastic Empirical Bayes via Nonparametric Maximum Likelihood
Jake A. Soloff
Adityanand Guntuboyina
B. Sen
341
32
0
08 Sep 2021
Polynomial methods in statistical inference: theory and practice
Polynomial methods in statistical inference: theory and practiceFoundations and Trends in Communications and Information Theory (FTCIT), 2020
Yihong Wu
Pengkun Yang
181
22
0
15 Apr 2021
Sharper Sub-Weibull Concentrations
Sharper Sub-Weibull Concentrations
Huiming Zhang
Haoyu Wei
391
23
0
04 Feb 2021
Self-regularizing Property of Nonparametric Maximum Likelihood Estimator
  in Mixture Models
Self-regularizing Property of Nonparametric Maximum Likelihood Estimator in Mixture Models
Yury Polyanskiy
Yihong Wu
314
35
0
19 Aug 2020
Gaussian Mixture Reduction with Composite Transportation Divergence
Gaussian Mixture Reduction with Composite Transportation DivergenceIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2020
Qiong Zhang
Archer Gong Zhang
Jiahua Chen
553
7
0
19 Feb 2020
Optimal estimation of high-dimensional location Gaussian mixtures
Optimal estimation of high-dimensional location Gaussian mixturesAnnals of Statistics (Ann. Stat.), 2020
Natalie Doss
Yihong Wu
Pengkun Yang
Harrison H. Zhou
230
29
0
14 Feb 2020
Convergence of Smoothed Empirical Measures with Applications to Entropy
  Estimation
Convergence of Smoothed Empirical Measures with Applications to Entropy EstimationIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2019
Ziv Goldfeld
Kristjan Greenewald
Yury Polyanskiy
Jonathan Niles-Weed
351
79
0
30 May 2019
Sub-Weibull distributions: generalizing sub-Gaussian and sub-Exponential
  properties to heavier-tailed distributions
Sub-Weibull distributions: generalizing sub-Gaussian and sub-Exponential properties to heavier-tailed distributions
M. Vladimirova
Stéphane Girard
Hien Nguyen
Julyan Arbel
518
108
0
13 May 2019
Approximation by finite mixtures of continuous density functions that
  vanish at infinity
Approximation by finite mixtures of continuous density functions that vanish at infinityCogent Mathematics & Statistics (CMS), 2019
TrungTin Nguyen
Hien Nguyen
Faicel Chamroukhi
Geoffrey J. McLachlan
395
91
0
01 Mar 2019
Optimal estimation of Gaussian mixtures via denoised method of moments
Optimal estimation of Gaussian mixtures via denoised method of momentsAnnals of Statistics (Ann. Stat.), 2018
Yihong Wu
Pengkun Yang
380
84
0
19 Jul 2018
Moving Beyond Sub-Gaussianity in High-Dimensional Statistics:
  Applications in Covariance Estimation and Linear Regression
Moving Beyond Sub-Gaussianity in High-Dimensional Statistics: Applications in Covariance Estimation and Linear Regression
Arun K. Kuchibhotla
Abhishek Chakrabortty
456
124
0
08 Apr 2018
On the nonparametric maximum likelihood estimator for Gaussian location
  mixture densities with application to Gaussian denoising
On the nonparametric maximum likelihood estimator for Gaussian location mixture densities with application to Gaussian denoising
Sujayam Saha
Adityanand Guntuboyina
268
60
0
06 Dec 2017
On approximations via convolution-defined mixture models
On approximations via convolution-defined mixture models
Hien Nguyen
Geoffrey J. McLachlan
281
39
0
12 Nov 2016
Posterior convergence rates of Dirichlet mixtures at smooth densities
Posterior convergence rates of Dirichlet mixtures at smooth densities
S. Ghosal
A. van der Vaart
753
234
0
14 Aug 2007
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