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Mutual Information (MI) is a fundamental metric for quantifying dependency between two random variables. When we can access only the samples, but not the underlying distribution functions, we can evaluate MI using sample-based estimators.…

Machine Learning · Statistics 2024-10-16 Kyungeun Lee , Wonjong Rhee

Estimating Mutual Information (MI), a key measure of dependence of random quantities without specific modelling assumptions, is a challenging problem in high dimensions. We propose a novel mutual information estimator based on parametrizing…

Machine Learning · Statistics 2025-10-24 Haoran Ni , Martin Lotz

In this letter, we investigate the mutual information rate (MIR) achieved by an independent identically distributed (IID) Gaussian input on the intensity-driven signal transduction channel. Specifically, the asymptotic expression of the…

Information Theory · Computer Science 2023-06-28 Xuan Chen , Fei Ji , Miaowen Wen , Yu Huang , Andrew W. Eckford

Mutual Information (MI) is an useful tool for the recognition of mutual dependence berween data sets. Differen methods for the estimation of MI have been developed when both data sets are discrete or when both data sets are continuous. The…

Applications · Statistics 2017-08-30 Miguel A. Ré , Guillermo G. Aguirre Varela

Mutual information is a widely-used information theoretic measure to quantify the amount of association between variables. It is used extensively in many applications such as image registration, diagnosis of failures in electrical machines,…

Computation · Statistics 2021-08-21 Luai Al-Labadi , Forough Fazeli-Asl , Zahra Saberi

Measuring model performance is a key issue for deep learning practitioners. However, we often lack the ability to explain why a specific architecture attains superior predictive accuracy for a given data set. Often, validation accuracy is…

Machine Learning · Computer Science 2022-04-01 Marius C. Landverk , Signe Riemer-Sørensen

Partial feedback in multiple-input multiple-output (MIMO) communication systems provides tremendous capacity gain and enables the transmitter to exploit channel condition and to eliminate channel interference. In the case of severely…

Applications · Statistics 2007-10-24 Kamal Shahtalebi , Golam Reza Bakhshi , Hamidreza Saligheh Rad

Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

Mutual information is a general statistical dependency measure which has found applications in representation learning, causality, domain generalization and computational biology. However, mutual information estimators are typically…

Machine Learning · Statistics 2023-10-17 Paweł Czyż , Frederic Grabowski , Julia E. Vogt , Niko Beerenwinkel , Alexander Marx

Data from spectrophotometers form vectors of a large number of exploitable variables. Building quantitative models using these variables most often requires using a smaller set of variables than the initial one. Indeed, a too large number…

Machine Learning · Computer Science 2007-09-26 Fabrice Rossi , Amaury Lendasse , Damien François , Vincent Wertz , Michel Verleysen

Estimating mutual information accurately is pivotal across diverse applications, from machine learning to communications and biology, enabling us to gain insights into the inner mechanisms of complex systems. Yet, dealing with…

Machine Learning · Computer Science 2024-11-12 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

The maximal information coefficient (MIC), which measures the amount of dependence between two variables, is able to detect both linear and non-linear associations. However, computational cost grows rapidly as a function of the dataset…

Information Theory · Computer Science 2015-08-18 Ali Mousavi , Richard G. Baraniuk

The use of dual polarization in mobile satellite systems is very promising for increasing the channel capacity. Polarized Modulation is proposed in this paper for use in practical systems, by providing simple equations for computing its…

Signal Processing · Electrical Eng. & Systems 2018-07-26 Anxo Tato , Carlos Mosquera , Pol Henarejos , Ana Perez-Neira

Mutual information (MI) is a fundamental measure of statistical dependence between two variables, yet accurate estimation from finite data remains notoriously difficult. No estimator is universally reliable, and common approaches fail in…

Data Analysis, Statistics and Probability · Physics 2025-10-02 Eslam Abdelaleem , K. Michael Martini , Ilya Nemenman

Background: Coevolution within a protein family is often predicted using statistics that measure the degree of covariation between positions in the protein sequence. Mutual Information is a measure of dependence between two random variables…

Populations and Evolution · Quantitative Biology 2013-04-17 Russell J. Dickson , Gregory B. Gloor

Because of the kinematic reversibility of the Stokes equation, fluid mixing at the microscale requires an interplay between advection and diffusion. Here we introduce mutual information between particle positions before and after mixing as…

Fluid Dynamics · Physics 2024-06-04 Yihong Shi , Ramin Golestanian , Andrej Vilfan

This paper proposes an adaptive multi-mode transmission strategy to improve the spectral efficiency achieved in the multiple-input multiple-output (MIMO) broadcast channel with delayed and quantized channel state information. The adaptive…

Information Theory · Computer Science 2016-11-17 Jun Zhang , Marios Kountouris , Jeffrey G. Andrews , Robert W. Heath

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

Statistics Theory · Mathematics 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections, a problem relevant in compressed sensing, sparse superposition codes or code division multiple access just to cite few. There has…

Information Theory · Computer Science 2017-03-24 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala

Recently, token-level adaptive training has achieved promising improvement in machine translation, where the cross-entropy loss function is adjusted by assigning different training weights to different tokens, in order to alleviate the…

Computation and Language · Computer Science 2021-05-28 Yangyifan Xu , Yijin Liu , Fandong Meng , Jiajun Zhang , Jinan Xu , Jie Zhou