Neural estimators for conditional mutual information using nearest neighbors sampling

S Molavipour, G Bassi… - IEEE transactions on signal …, 2021 - ieeexplore.ieee.org
The estimation of mutual information (MI) or conditional mutual information (CMI) from a set
of samples is a longstanding problem. A recent line of work in this area has leveraged the …

Critical values of a kernel density-based mutual information estimator

RJ May, GC Dandy, HR Maier… - The 2006 IEEE …, 2006 - ieeexplore.ieee.org
Recently, mutual information (MI) has become widely recognized as a statistical measure of
dependence that is suitable for applications where data are non-Gaussian, or where the …

C-MI-GAN: Estimation of conditional mutual information using minmax formulation

A Mondal, A Bhattacharjee… - … on Uncertainty in …, 2020 - proceedings.mlr.press
Estimation of information theoretic quantities such as mutual information and its conditional
variant has drawn interest in recent times owing to their multifaceted applications. Newly …

Smoothed noise contrastive mutual information neural estimation

X Wang, A Al-Bashabsheh, C Zhao, C Chan - Journal of the Franklin …, 2023 - Elsevier
Abstract Information Noise Contrastive Estimation (InfoNCE) is a popular neural estimator of
mutual information (MI). While InfoNCE has demonstrated impressive results in …

[PDF][PDF] Mutual Information Estimation using LSH Sampling.

R Spring, A Shrivastava - IJCAI, 2020 - ijcai.org
Learning representations in an unsupervised or self-supervised manner is a growing area of
research. Current approaches in representation learning seek to maximize the mutual …

Finite sample based mutual information

K Rajab, F Kamalov - IEEE Access, 2021 - ieeexplore.ieee.org
Mutual information is a popular metric in machine learning. In case of a discrete target
variable and a continuous feature variable the mutual information can be calculated as a …

Mutual Information Estimation via Normalizing Flows

I Butakov, A Tolmachev, S Malanchuk… - arXiv preprint arXiv …, 2024 - arxiv.org
We propose a novel approach to the problem of mutual information (MI) estimation via
introducing normalizing flows-based estimator. The estimator maps original data to the …

CCMI: Classifier based conditional mutual information estimation

S Mukherjee, H Asnani… - Uncertainty in artificial …, 2020 - proceedings.mlr.press
Abstract Conditional Mutual Information (CMI) is a measure of conditional dependence
between random variables X and Y, given another random variable Z. It can be used to …

Ensemble estimation of generalized mutual information with applications to genomics

KR Moon, K Sricharan, AO Hero - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Mutual information is a measure of the dependence between random variables that has
been used successfully in myriad applications in many fields. Generalized mutual …

Computationally efficient estimation of squared-loss mutual information with multiplicative kernel models

T Sakai, M Sugiyama - IEICE TRANSACTIONS on Information and …, 2014 - search.ieice.org
Squared-loss mutual information (SMI) is a robust measure of the statistical dependence
between random variables. The sample-based SMI approximator called least-squares …