# A survey of some recent developments in measures of association

arXiv: https://arxiv.org/abs/2211.04702 · HTML: https://mlsanity.com/paper/2211.04702/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 25 of its 135 references that are in the map.
- First posted on arXiv 9 Nov 2022.

## Builds on (most cited first, 25 of 25)

- [Approximate Kernel-based Conditional Independence Tests for Fast Non-Parametric Causal Discovery](https://mlsanity.com/paper/1702.03877/) (2017)
- [Conditional independence testing based on a nearest-neighbor estimator of conditional mutual information](https://mlsanity.com/paper/1709.01447/) (2017)
- [Plugin Estimation of Smooth Optimal Transport Maps](https://mlsanity.com/paper/2107.12364/) (2021)
- [A Review of Feature Selection Methods Based on Mutual Information](https://mlsanity.com/paper/1509.07577/) (2015)
- [Model-Powered Conditional Independence Test](https://mlsanity.com/paper/1709.06138/) (2017)
- [Kernel-based Tests for Joint Independence](https://mlsanity.com/paper/1603.00285/) (2016)
- [A simple measure of conditional dependence](https://mlsanity.com/paper/1910.12327/) (2019)
- [Large-Scale Kernel Methods for Independence Testing](https://mlsanity.com/paper/1606.07892/) (2016)
- [The Randomized Dependence Coefficient](https://mlsanity.com/paper/1304.7717/) (2013)
- [Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation](https://mlsanity.com/paper/1909.08733/) (2019)
- [Local permutation tests for conditional independence](https://mlsanity.com/paper/2112.11666/) (2021)
- [Kernel Partial Correlation Coefficient -- a Measure of Conditional Dependence](https://mlsanity.com/paper/2012.14804/) (2020)
- [Partial Distance Correlation with Methods for Dissimilarities](https://mlsanity.com/paper/1310.2926/) (2013)
- [On boosting the power of Chatterjee's rank correlation](https://mlsanity.com/paper/2108.06828/) (2021)
- [BET on Independence](https://mlsanity.com/paper/1610.05246/) (2016)
- [Multivariate tests of association based on univariate tests](https://mlsanity.com/paper/1603.03418/) (2016)
- [Optimal rates for independence testing via U-statistic permutation tests](https://mlsanity.com/paper/2001.05513/) (2020)
- [Symmetric Rank Covariances: a Generalised Framework for Nonparametric Measures of Dependence](https://mlsanity.com/paper/1708.05653/) (2017)
- [On Testing Independence and Goodness-of-fit in Linear Models](https://mlsanity.com/paper/1302.5831/) (2013)
- [Generalized R-squared for Detecting Dependence](https://mlsanity.com/paper/1604.02736/) (2016)
- [Limit theorems of Chatterjee's rank correlation](https://mlsanity.com/paper/2204.08031/) (2022)
- [On a Nonparametric Notion of Residual and its Applications](https://mlsanity.com/paper/1409.3886/) (2014)
- [On the asymptotic distribution of the symmetrized Chatterjee's correlation coefficient](https://mlsanity.com/paper/2205.01769/) (2022)
- [Measures of independence and functional dependence](https://mlsanity.com/paper/2206.13663/) (2022)
- [A note of feature screening via rank-based coefficient of correlation](https://mlsanity.com/paper/2008.04456/) (2020)

## Built on by (most cited first, 3 of 3)

- [Neuro-Causal Factor Analysis](https://mlsanity.com/paper/2305.19802/) (2023)
- [Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives](https://mlsanity.com/paper/2506.19025/) (2025)
- [Kernel Integrated R2: A Measure of Dependence](https://mlsanity.com/paper/2602.22985/) (2026)

## 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.