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Efficient multivariate entropy estimation via $k$-nearest neighbour
  distances
v1v2v3 (latest)

Efficient multivariate entropy estimation via kkk-nearest neighbour distances

1 June 2016
Thomas B. Berrett
R. Samworth
M. Yuan
ArXiv (abs)PDFHTML

Papers citing "Efficient multivariate entropy estimation via $k$-nearest neighbour distances"

50 / 54 papers shown
Title
Boosting Reservoir Computing with Brain-inspired Adaptive Dynamics
Boosting Reservoir Computing with Brain-inspired Adaptive Dynamics
Keshav Srinivasan
Dietmar Plenz
M. Girvan
110
0
0
16 Apr 2025
InfoBridge: Mutual Information estimation via Bridge Matching
InfoBridge: Mutual Information estimation via Bridge Matching
Sergei Kholkin
Ivan Butakov
Evgeny Burnaev
Nikita Gushchin
Alexander Korotin
DiffMFedML
153
0
0
03 Feb 2025
Distribution-free Measures of Association based on Optimal Transport
Distribution-free Measures of Association based on Optimal Transport
Nabarun Deb
Promit Ghosal
B. Sen
OT
159
1
0
20 Nov 2024
Mutual Information Estimation via Normalizing Flows
Mutual Information Estimation via Normalizing Flows
I. Butakov
Alexander Tolmachev
S. Malanchuk
A. Neopryatnaya
Alexey Frolov
93
8
0
04 Mar 2024
Sourcerer: Sample-based Maximum Entropy Source Distribution Estimation
Sourcerer: Sample-based Maximum Entropy Source Distribution Estimation
Julius Vetter
Guy Moss
Cornelius Schroder
Richard Gao
Jakob H. Macke
94
5
0
12 Feb 2024
kNN Algorithm for Conditional Mean and Variance Estimation with
  Automated Uncertainty Quantification and Variable Selection
kNN Algorithm for Conditional Mean and Variance Estimation with Automated Uncertainty Quantification and Variable Selection
Marcos Matabuena
J. Vidal
Oscar Hernan Madrid Padilla
J. Onnela
412
5
0
02 Feb 2024
Nearest Neighbor Sampling for Covariate Shift Adaptation
Nearest Neighbor Sampling for Covariate Shift Adaptation
Franccois Portier
Lionel Truquet
Ikko Yamane
OffRL
39
1
0
15 Dec 2023
Limit Distribution Theory for Quantum Divergences
Limit Distribution Theory for Quantum Divergences
Sreejith Sreekumar
Mario Berta
63
2
0
22 Nov 2023
Distribution-free tests for lossless feature selection in classification
  and regression
Distribution-free tests for lossless feature selection in classification and regression
László Gyorfi
Tamás Linder
Harro Walk
66
1
0
08 Nov 2023
Information Bottleneck Analysis of Deep Neural Networks via Lossy
  Compression
Information Bottleneck Analysis of Deep Neural Networks via Lossy Compression
I. Butakov
Alexander Tolmachev
S. Malanchuk
A. Neopryatnaya
Alexey Frolov
K. Andreev
110
7
0
13 May 2023
The Fundamental Limits of Structure-Agnostic Functional Estimation
The Fundamental Limits of Structure-Agnostic Functional Estimation
Sivaraman Balakrishnan
Edward H. Kennedy
Larry A. Wasserman
70
11
0
06 May 2023
Entropy of Exchangeable Random Graphs
Entropy of Exchangeable Random Graphs
Anda Skeja
S. Olhede
75
0
0
03 Feb 2023
A Flexible Approach for Normal Approximation of Geometric and
  Topological Statistics
A Flexible Approach for Normal Approximation of Geometric and Topological Statistics
Zhaoyang Shi
Krishnakumar Balasubramanian
W. Polonik
29
0
0
19 Oct 2022
Limit theorems of Chatterjee's rank correlation
Limit theorems of Chatterjee's rank correlation
Zhexiao Lin
Fang Han
109
24
0
17 Apr 2022
A Differential Entropy Estimator for Training Neural Networks
A Differential Entropy Estimator for Training Neural Networks
Georg Pichler
Pierre Colombo
Malik Boudiaf
Günther Koliander
Pablo Piantanida
163
23
0
14 Feb 2022
High-Order Statistical Functional Expansion and Its Application To Some
  Nonsmooth Problems
High-Order Statistical Functional Expansion and Its Application To Some Nonsmooth Problems
Fan Zhou
Ping Li
Cun-Hui Zhang
38
3
0
31 Dec 2021
On boosting the power of Chatterjee's rank correlation
On boosting the power of Chatterjee's rank correlation
Zhexiao Lin
Fang Han
69
43
0
15 Aug 2021
On Azadkia-Chatterjee's conditional dependence coefficient
On Azadkia-Chatterjee's conditional dependence coefficient
Hongjian Shi
Mathias Drton
Fang Han
66
33
0
15 Aug 2021
A Bayesian Nonparametric Estimation of Mutual Information
A Bayesian Nonparametric Estimation of Mutual Information
L. Al-Labadi
Forough Fazeli Asl
Z. Saberi
32
1
0
09 Aug 2021
Statistical tests based on Rényi entropy estimation
Statistical tests based on Rényi entropy estimation
Mehmet Siddik Cadirci
Dafydd Evans
Nikolai N. Leonenko
O. Seleznjev
32
1
0
01 Jun 2021
Transport Dependency: Optimal Transport Based Dependency Measures
Transport Dependency: Optimal Transport Based Dependency Measures
T. Nies
Thomas Staudt
Axel Munk
OT
92
20
0
05 May 2021
Non-Asymptotic Performance Guarantees for Neural Estimation of
  $\mathsf{f}$-Divergences
Non-Asymptotic Performance Guarantees for Neural Estimation of f\mathsf{f}f-Divergences
Sreejith Sreekumar
Zhengxin Zhang
Ziv Goldfeld
FedML
72
18
0
11 Mar 2021
On the consistency of the Kozachenko-Leonenko entropy estimate
On the consistency of the Kozachenko-Leonenko entropy estimate
Luc Devroye
László Gyorfi
30
4
0
25 Feb 2021
On a Variational Approximation based Empirical Likelihood ABC Method
On a Variational Approximation based Empirical Likelihood ABC Method
S. Chaudhuri
Subhro Ghosh
David J. Nott
Kim Cuc Pham
103
2
0
12 Nov 2020
The entropy based goodness of fit tests for generalized von Mises-Fisher
  distributions and beyond
The entropy based goodness of fit tests for generalized von Mises-Fisher distributions and beyond
Nikolai N. Leonenko
Vitalii Makogin
Mehmet Siddik Cadirci
30
0
0
21 Oct 2020
Entropy-based test for generalized Gaussian distributions
Entropy-based test for generalized Gaussian distributions
Mehmet Siddik Cadirci
Dafydd Evans
Nikolai Leonenko
Vitalii Makogin
32
5
0
13 Oct 2020
Measuring Association on Topological Spaces Using Kernels and Geometric
  Graphs
Measuring Association on Topological Spaces Using Kernels and Geometric Graphs
Nabarun Deb
Promit Ghosal
B. Sen
516
50
0
05 Oct 2020
Additive stacking for disaggregate electricity demand forecasting
Additive stacking for disaggregate electricity demand forecasting
Christian Capezza
B. Palumbo
Y. Goude
S. Wood
Matteo Fasiolo
AI4TS
85
7
0
20 May 2020
Minimax Optimal Estimation of KL Divergence for Continuous Distributions
Minimax Optimal Estimation of KL Divergence for Continuous Distributions
Puning Zhao
Lifeng Lai
65
21
0
26 Feb 2020
Mitigating Class Boundary Label Uncertainty to Reduce Both Model Bias
  and Variance
Mitigating Class Boundary Label Uncertainty to Reduce Both Model Bias and Variance
Matthew Almeida
Wei Ding
S. Crouter
Ping Chen
36
10
0
23 Feb 2020
A Test for Independence Via Bayesian Nonparametric Estimation of Mutual
  Information
A Test for Independence Via Bayesian Nonparametric Estimation of Mutual Information
L. Al-Labadi
Forough Fazeli Asl
Z. Saberi
65
6
0
10 Feb 2020
Minimax Rate Optimal Adaptive Nearest Neighbor Classification and
  Regression
Minimax Rate Optimal Adaptive Nearest Neighbor Classification and Regression
Puning Zhao
Lifeng Lai
60
21
0
22 Oct 2019
Random Forests for Adaptive Nearest Neighbor Estimation of
  Information-Theoretic Quantities
Random Forests for Adaptive Nearest Neighbor Estimation of Information-Theoretic Quantities
Ronan Perry
Ronak D. Mehta
Richard Guo
Eva Yezerets
Jesús Arroyo
Michael A. Powell
Hayden Helm
Cencheng Shen
Joshua T. Vogelstein
37
2
0
30 Jun 2019
Statistical estimation of the Kullback-Leibler divergence
Statistical estimation of the Kullback-Leibler divergence
A. Bulinski
Denis Dimitrov
60
18
0
29 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
107
68
0
30 May 2019
Statistical bounds for entropic optimal transport: sample complexity and
  the central limit theorem
Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem
Gonzalo E. Mena
Jonathan Niles-Weed
OT
88
167
0
28 May 2019
Consistent Entropy Estimation for Stationary Time Series
Consistent Entropy Estimation for Stationary Time Series
Alexander L. Young
David B. Dunson
8
0
0
11 Apr 2019
A Bayesian Nonparametric Estimation to Entropy
A Bayesian Nonparametric Estimation to Entropy
L. Al-Labadi
Viskakh Patel
Kasra Vakiloroayaei
C. Wan
52
8
0
02 Mar 2019
Non-Parametric Inference Adaptive to Intrinsic Dimension
Non-Parametric Inference Adaptive to Intrinsic Dimension
Khashayar Khosravi
Greg Lewis
Vasilis Syrgkanis
485
7
0
11 Jan 2019
Variance reduction for estimation of Shapley effects and adaptation to
  unknown input distribution
Variance reduction for estimation of Shapley effects and adaptation to unknown input distribution
Baptiste Broto
François Bachoc
M. Depecker
FAtt
61
52
0
21 Dec 2018
Estimating Differential Entropy under Gaussian Convolutions
Ziv Goldfeld
Kristjan Greenewald
Yury Polyanskiy
63
11
0
27 Oct 2018
The Hellinger Correlation
The Hellinger Correlation
G. Geenens
P. Lafaye De Micheaux
108
32
0
24 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
87
32
0
12 Oct 2018
Optimal Nonparametric Inference with Two-Scale Distributional Nearest
  Neighbors
Optimal Nonparametric Inference with Two-Scale Distributional Nearest Neighbors
Emre Demirkaya
Yingying Fan
Lan Gao
Jinchi Lv
Patrick Vossler
Jingbo Wang
21
5
0
25 Aug 2018
Statistical Estimation of Conditional Shannon Entropy
Statistical Estimation of Conditional Shannon Entropy
A. Bulinski
A. Kozhevin
48
13
0
23 Apr 2018
Minimax Estimation of Quadratic Fourier Functionals
Minimax Estimation of Quadratic Fourier Functionals
Shashank Singh
Bharath K. Sriperumbudur
Barnabás Póczós
106
5
0
30 Mar 2018
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
78
47
0
23 Nov 2017
Nonparametric independence testing via mutual information
Nonparametric independence testing via mutual information
Thomas B. Berrett
R. Samworth
111
102
0
17 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
114
73
0
06 Nov 2017
Estimating Mutual Information for Discrete-Continuous Mixtures
Estimating Mutual Information for Discrete-Continuous Mixtures
Weihao Gao
Sreeram Kannan
Sewoong Oh
Pramod Viswanath
92
159
0
19 Sep 2017
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