mlsanityData to 7 Oct 2026

A survey of some recent developments in measures of association

arXiv 2211.04702 ↗First posted 9 Nov 2022stat.ME cs.LG math.PRcited by 3

Not on the map. Why?

Abstract (arXiv)

This paper surveys some recent developments in measures of association related to a new coefficient of correlation introduced by the author. A straightforward extension of this coefficient to standard Borel spaces (which includes all Polish spaces), overlooked in the literature so far, is proposed at the end of the survey.

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Builds on 25 of its 135 references that are in the map. First posted on arXiv 9 Nov 2022.

Builds on

25 of 135 references.

References · 25

  1. 2017Approximate Kernel-based Conditional Independence Tests for Fast Non-Parametric Causal Discoverycited by 76
  2. 2017Conditional independence testing based on a nearest-neighbor estimator of conditional mutual informationcited by 70
  3. 2015A Review of Feature Selection Methods Based on Mutual Informationcited by 67
  4. 2021Plugin Estimation of Smooth Optimal Transport Mapscited by 67
  5. 2017Model-Powered Conditional Independence Testcited by 43
  6. 2016Kernel-based Tests for Joint Independencecited by 40
  7. 2019A simple measure of conditional dependencecited by 38
  8. 2016Large-Scale Kernel Methods for Independence Testingcited by 32
  9. 2013The Randomized Dependence Coefficientcited by 24
  10. 2019Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportationcited by 24
  11. 2021Local permutation tests for conditional independencecited by 23
  12. 2020Kernel Partial Correlation Coefficient -- a Measure of Conditional Dependencecited by 21
13 more
  1. 2013Partial Distance Correlation with Methods for Dissimilaritiescited by 20
  2. 2021On boosting the power of Chatterjee's rank correlationcited by 10
  3. 2016BET on Independencecited by 8
  4. 2016Multivariate tests of association based on univariate testscited by 5
  5. 2020Optimal rates for independence testing via U-statistic permutation testscited by 5
  6. 2017Symmetric Rank Covariances: a Generalised Framework for Nonparametric Measures of Dependencecited by 4
  7. 2013On Testing Independence and Goodness-of-fit in Linear Modelscited by 3
  8. 2016Generalized R-squared for Detecting Dependencecited by 3
  9. 2022Limit theorems of Chatterjee's rank correlationcited by 3
  10. 2014On a Nonparametric Notion of Residual and its Applicationscited by 2
  11. 2022On the asymptotic distribution of the symmetrized Chatterjee's correlation coefficientcited by 2
  12. 2022Measures of independence and functional dependencecited by 2
  13. 2020A note of feature screening via rank-based coefficient of correlationcited by 1

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 1; 2024: 0; 2025: 1; 2026: 1.

3 papers.

  1. 2023Neuro-Causal Factor Analysiscited by 4
  2. 2025Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectivescited by 1
  3. 2026Kernel Integrated R2: A Measure of Dependencecited by 0