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Minimax rates of entropy estimation on large alphabets via best
  polynomial approximation

Minimax rates of entropy estimation on large alphabets via best polynomial approximation

1 July 2014
Yihong Wu
Pengkun Yang
ArXivPDFHTML

Papers citing "Minimax rates of entropy estimation on large alphabets via best polynomial approximation"

50 / 101 papers shown
Title
The Broad Optimality of Profile Maximum Likelihood
The Broad Optimality of Profile Maximum Likelihood
Yi Hao
A. Orlitsky
18
29
0
10 Jun 2019
Convergence of Smoothed Empirical Measures with Applications to Entropy
  Estimation
Convergence of Smoothed Empirical Measures with Applications to Entropy Estimation
Ziv Goldfeld
Kristjan Greenewald
Yury Polyanskiy
Jonathan Niles-Weed
23
64
0
30 May 2019
Efficient Profile Maximum Likelihood for Universal Symmetric Property
  Estimation
Efficient Profile Maximum Likelihood for Universal Symmetric Property Estimation
Moses Charikar
Kirankumar Shiragur
Aaron Sidford
10
28
0
21 May 2019
Data Amplification: A Unified and Competitive Approach to Property
  Estimation
Data Amplification: A Unified and Competitive Approach to Property Estimation
Yi Hao
A. Orlitsky
A. Suresh
Yihong Wu
21
30
0
29 Mar 2019
Data Amplification: Instance-Optimal Property Estimation
Data Amplification: Instance-Optimal Property Estimation
Yi Hao
A. Orlitsky
23
20
0
04 Mar 2019
Dualizing Le Cam's method for functional estimation, with applications
  to estimating the unseens
Dualizing Le Cam's method for functional estimation, with applications to estimating the unseens
Yury Polyanskiy
Yihong Wu
4
11
0
14 Feb 2019
Optimal disclosure risk assessment
Optimal disclosure risk assessment
F. Camerlenghi
Stefano Favaro
Zacharie Naulet
F. Panero
22
4
0
14 Feb 2019
Maximum Likelihood Estimation for Learning Populations of Parameters
Maximum Likelihood Estimation for Learning Populations of Parameters
Ramya Korlakai Vinayak
Weihao Kong
Gregory Valiant
Sham Kakade
13
29
0
12 Feb 2019
Distributional property testing in a quantum world
Distributional property testing in a quantum world
A. Gilyén
Tongyang Li
9
43
0
02 Feb 2019
Minimax Optimal Additive Functional Estimation with Discrete
  Distribution
Minimax Optimal Additive Functional Estimation with Discrete Distribution
Kazuto Fukuchi
Jun Sakuma
22
1
0
28 Nov 2018
Estimating Differential Entropy under Gaussian Convolutions
Ziv Goldfeld
Kristjan Greenewald
Yury Polyanskiy
17
11
0
27 Oct 2018
Estimating Information Flow in Deep Neural Networks
Estimating Information Flow in Deep Neural Networks
Ziv Goldfeld
E. Berg
Kristjan Greenewald
Igor Melnyk
Nam H. Nguyen
Brian Kingsbury
Yury Polyanskiy
30
32
0
12 Oct 2018
Statistical Windows in Testing for the Initial Distribution of a
  Reversible Markov Chain
Statistical Windows in Testing for the Initial Distribution of a Reversible Markov Chain
Quentin Berthet
Varun Kanade
19
4
0
06 Aug 2018
Optimal estimation of Gaussian mixtures via denoised method of moments
Optimal estimation of Gaussian mixtures via denoised method of moments
Yihong Wu
Pengkun Yang
17
75
0
19 Jul 2018
On estimation of nonsmooth functionals of sparse normal means
On estimation of nonsmooth functionals of sparse normal means
O. Collier
L. Comminges
Alexandre B. Tsybakov
11
13
0
28 May 2018
Estimating Learnability in the Sublinear Data Regime
Estimating Learnability in the Sublinear Data Regime
Weihao Kong
Gregory Valiant
48
29
0
04 May 2018
Distributed Simulation and Distributed Inference
Distributed Simulation and Distributed Inference
Jayadev Acharya
C. Canonne
Himanshu Tyagi
14
26
0
19 Apr 2018
INSPECTRE: Privately Estimating the Unseen
INSPECTRE: Privately Estimating the Unseen
Jayadev Acharya
Gautam Kamath
Ziteng Sun
Huanyu Zhang
22
21
0
28 Feb 2018
Local moment matching: A unified methodology for symmetric functional
  estimation and distribution estimation under Wasserstein distance
Local moment matching: A unified methodology for symmetric functional estimation and distribution estimation under Wasserstein distance
Yanjun Han
Jiantao Jiao
Tsachy Weissman
20
41
0
23 Feb 2018
Entropy Rate Estimation for Markov Chains with Large State Space
Entropy Rate Estimation for Markov Chains with Large State Space
Yanjun Han
Jiantao Jiao
Chuan-Zheng Lee
Tsachy Weissman
Yihong Wu
Tiancheng Yu
OT
30
17
0
22 Feb 2018
Counting Motifs with Graph Sampling
Counting Motifs with Graph Sampling
Jason M. Klusowski
Yihong Wu
15
21
0
21 Feb 2018
Optimal Estimation of Simultaneous Signals Using Absolute Inner Product
  with Applications to Integrative Genomics
Optimal Estimation of Simultaneous Signals Using Absolute Inner Product with Applications to Integrative Genomics
Rong Ma
T. Tony Cai
Hongzhe Li
19
0
0
24 Jan 2018
Approximate Profile Maximum Likelihood
Approximate Profile Maximum Likelihood
Dmitri S. Pavlichin
Jiantao Jiao
Tsachy Weissman
16
49
0
19 Dec 2017
The Nearest Neighbor Information Estimator is Adaptively Near Minimax
  Rate-Optimal
The Nearest Neighbor Information Estimator is Adaptively Near Minimax Rate-Optimal
Jiantao Jiao
Weihao Gao
Yanjun Han
16
47
0
23 Nov 2017
Optimal rates of entropy estimation over Lipschitz balls
Optimal rates of entropy estimation over Lipschitz balls
Yanjun Han
Jiantao Jiao
Tsachy Weissman
Yihong Wu
43
73
0
06 Nov 2017
Potential Conditional Mutual Information: Estimators, Properties and
  Applications
Potential Conditional Mutual Information: Estimators, Properties and Applications
Arman Rahimzamani
Sreeram Kannan
19
10
0
13 Oct 2017
On Estimation of $L_{r}$-Norms in Gaussian White Noise Models
On Estimation of LrL_{r}Lr​-Norms in Gaussian White Noise Models
Yanjun Han
Jiantao Jiao
Rajarshi Mukherjee
20
26
0
11 Oct 2017
Estimating Mutual Information for Discrete-Continuous Mixtures
Estimating Mutual Information for Discrete-Continuous Mixtures
Weihao Gao
Sreeram Kannan
Sewoong Oh
Pramod Viswanath
22
156
0
19 Sep 2017
Bias Correction with Jackknife, Bootstrap, and Taylor Series
Bias Correction with Jackknife, Bootstrap, and Taylor Series
Jiantao Jiao
Yanjun Han
27
22
0
18 Sep 2017
Sharp Bounds for Generalized Uniformity Testing
Sharp Bounds for Generalized Uniformity Testing
Ilias Diakonikolas
D. Kane
Alistair Stewart
19
20
0
07 Sep 2017
Shannon Entropy Estimation in $\infty$-Alphabets from Convergence
  Results
Shannon Entropy Estimation in ∞\infty∞-Alphabets from Convergence Results
Jorge F. Silva
18
8
0
27 Aug 2017
Optimal Identity Testing with High Probability
Optimal Identity Testing with High Probability
Ilias Diakonikolas
Themis Gouleakis
John Peebles
Eric Price
37
63
0
09 Aug 2017
Which Distribution Distances are Sublinearly Testable?
Which Distribution Distances are Sublinearly Testable?
C. Daskalakis
Gautam Kamath
John Wright
OOD
39
44
0
31 Jul 2017
Estimating the Fundamental Limits is Easier than Achieving the
  Fundamental Limits
Estimating the Fundamental Limits is Easier than Achieving the Fundamental Limits
Jiantao Jiao
Yanjun Han
Irena Fischer-Hwang
Tsachy Weissman
19
11
0
05 Jul 2017
Multi-sample Estimation of Bacterial Composition Matrix in Metagenomics
  Data
Multi-sample Estimation of Bacterial Composition Matrix in Metagenomics Data
Yuanpei Cao
Anru R. Zhang
Hongzhe Li
22
11
0
07 Jun 2017
Minimax Estimation of the $L_1$ Distance
Minimax Estimation of the L1L_1L1​ Distance
Jiantao Jiao
Yanjun Han
Tsachy Weissman
31
49
0
02 May 2017
Optimal rates of estimation for multi-reference alignment
Optimal rates of estimation for multi-reference alignment
Afonso S. Bandeira
Philippe Rigollet
Jonathan Niles-Weed
36
61
0
27 Feb 2017
Ensemble Estimation of Generalized Mutual Information with Applications
  to Genomics
Ensemble Estimation of Generalized Mutual Information with Applications to Genomics
Kevin R. Moon
K. Sricharan
Alfred Hero
15
9
0
27 Jan 2017
Minimax Optimal Estimators for Additive Scalar Functionals of Discrete
  Distributions
Minimax Optimal Estimators for Additive Scalar Functionals of Discrete Distributions
Kazuto Fukuchi
Jun Sakuma
23
9
0
23 Jan 2017
Agglomerative Info-Clustering
Agglomerative Info-Clustering
C. Chan
Ali Al-Bashabsheh
Qiaoqiao Zhou
12
4
0
18 Jan 2017
Sample complexity of the distinct elements problem
Sample complexity of the distinct elements problem
Yihong Wu
Pengkun Yang
9
25
0
11 Dec 2016
A Unified Maximum Likelihood Approach for Optimal Distribution Property
  Estimation
A Unified Maximum Likelihood Approach for Optimal Distribution Property Estimation
Jayadev Acharya
Hirakendu Das
A. Orlitsky
A. Suresh
33
15
0
09 Nov 2016
Building an Evaluation Scale using Item Response Theory
Building an Evaluation Scale using Item Response Theory
Yanjun Han
Hao Wu
Hong-ye Yu
29
42
0
28 May 2016
Demystifying Fixed k-Nearest Neighbor Information Estimators
Demystifying Fixed k-Nearest Neighbor Information Estimators
Weihao Gao
Sewoong Oh
Pramod Viswanath
20
136
0
11 Apr 2016
Estimating the number of unseen species: A bird in the hand is worth
  $\log n $ in the bush
Estimating the number of unseen species: A bird in the hand is worth log⁡n\log n logn in the bush
A. Orlitsky
A. Suresh
Yihong Wu
18
5
0
23 Nov 2015
Semiparametric estimation of mutual information and related criteria :
  optimal test of independence
Semiparametric estimation of mutual information and related criteria : optimal test of independence
Amor Keziou
P. Regnault
16
1
0
19 Aug 2015
Chebyshev polynomials, moment matching, and optimal estimation of the
  unseen
Chebyshev polynomials, moment matching, and optimal estimation of the unseen
Yihong Wu
Pengkun Yang
30
111
0
06 Apr 2015
Beyond Maximum Likelihood: from Theory to Practice
Beyond Maximum Likelihood: from Theory to Practice
Jiantao Jiao
K. Venkat
Yanjun Han
Tsachy Weissman
29
10
0
26 Sep 2014
Estimating Renyi Entropy of Discrete Distributions
Estimating Renyi Entropy of Discrete Distributions
Jayadev Acharya
A. Orlitsky
A. Suresh
Himanshu Tyagi
65
72
0
02 Aug 2014
Maximum Likelihood Estimation of Functionals of Discrete Distributions
Maximum Likelihood Estimation of Functionals of Discrete Distributions
Jiantao Jiao
K. Venkat
Yanjun Han
Tsachy Weissman
39
101
0
26 Jun 2014
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