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The presence of mutual information in the research of deep learning has grown significantly. It has been proven that mutual information can be a good objective function to build a robust deep learning model. Most of the researches utilize…

Information Theory · Computer Science 2021-06-29 Marshal Arijona Sinaga

In this paper, we propose a novel information theoretic surrogate loss; normalized conditional mutual information (NCMI); as a drop in alternative to the de facto cross-entropy (CE) for training deep neural network (DNN) based classifiers.…

Machine Learning · Computer Science 2026-01-21 Linfeng Ye , Zhixiang Chi , Konstantinos N. Plataniotis , En-hui Yang

We propose a fully data-driven approach to designing mutual information (MI) estimators. Since any MI estimator is a function of the observed sample from two random variables, we parameterize this function with a neural network (MIST) and…

Machine Learning · Computer Science 2026-02-24 German Gritsai , Megan Richards , Maxime Méloux , Kyunghyun Cho , Maxime Peyrard

Diffusion bridge models have recently become a powerful tool in the field of generative modeling. In this work, we leverage their power to address another important problem in machine learning and information theory, the estimation of the…

Machine Learning · Computer Science 2026-03-02 Sergei Kholkin , Ivan Butakov , Evgeny Burnaev , Nikita Gushchin , Alexander Korotin

Understanding dependencies between variables is critical for interpretability and efficient generation in masked diffusion models (MDMs), yet these models primarily expose marginal conditional distributions and do not explicitly represent…

Machine Learning · Computer Science 2026-05-21 Jai Sharma , Yifan Wang , Bryan Li

Channel capacity estimation plays a crucial role in beyond 5G intelligent communications. Despite its significance, this task is challenging for a majority of channels, especially for the complex channels not modeled as the well-known…

Information Theory · Computer Science 2023-12-05 Zhefan Li , Rui She , Pingyi Fan , Chenghui Peng , Khaled B. Letaief

Dynamic feature selection, where we sequentially query features to make accurate predictions with a minimal budget, is a promising paradigm to reduce feature acquisition costs and provide transparency into a model's predictions. The problem…

Machine Learning · Computer Science 2024-09-10 Soham Gadgil , Ian Covert , Su-In Lee

As a fundamental concept in information theory, mutual information ($MI$) has been commonly applied to quantify association between random vectors. Most existing nonparametric estimators of $MI$ have unstable statistical performance since…

Applications · Statistics 2025-02-19 Soumik Purkayastha , Peter X. K. Song

This paper presents a novel feature selection method based on the conditional mutual information (CMI). The proposed High Order Conditional Mutual Information Maximization (HOCMIM) incorporates high order dependencies into the feature…

Machine Learning · Computer Science 2022-08-25 Francisco Souza , Cristiano Premebida , Rui Araújo

We are assisting at a growing interest in the development of learning architectures with application to digital communication systems. Herein, we consider the detection/decoding problem. We aim at developing an optimal neural architecture…

Information Theory · Computer Science 2022-09-02 Andrea M. Tonello , Nunzio A. Letizia

We propose a novel approach to the problem of mutual information (MI) estimation via introducing a family of estimators based on normalizing flows. The estimator maps original data to the target distribution, for which MI is easier to…

Machine Learning · Computer Science 2024-05-28 Ivan Butakov , Alexander Tolmachev , Sofia Malanchuk , Anna Neopryatnaya , Alexey Frolov

Several methods of estimating the mutual information of random variables have been developed in recent years. They can prove valuable for novel approaches to learning statistically independent features. In this paper, we use one of these…

Machine Learning · Computer Science 2019-04-23 Hlynur Davíð Hlynsson , Laurenz Wiskott

This correspondence studies the basic problem of classifications - how to evaluate different classifiers. Although the conventional performance indexes, such as accuracy, are commonly used in classifier selection or evaluation,…

Machine Learning · Computer Science 2007-11-26 Yong Wang , Bao-Gang Hu

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

Mutual information is commonly used as a measure of similarity between competing labelings of a given set of objects, for example to quantify performance in classification and community detection tasks. As argued recently, however, the…

Social and Information Networks · Computer Science 2025-07-17 Maximilian Jerdee , Alec Kirkley , M. E. J. Newman

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

Machine Learning · Statistics 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

Estimating mutual correlations between random variables or data streams is essential for intelligent behavior and decision-making. As a fundamental quantity for measuring statistical relationships, mutual information has been extensively…

Information Theory · Computer Science 2024-02-16 Zhengyang Hu , Song Kang , Qunsong Zeng , Kaibin Huang , Yanchao Yang

Understanding the contribution of individual features in predictive models remains a central goal in interpretable machine learning, and while many model-agnostic methods exist to estimate feature importance, they often fall short in…

Machine Learning · Computer Science 2025-07-08 Ivan Lazic , Chiara Barà , Marta Iovino , Sebastiano Stramaglia , Niksa Jakovljevic , Luca Faes

We investigate the sample complexity of mutual information and conditional mutual information testing. For conditional mutual information testing, given access to independent samples of a triple of random variables $(A, B, C)$ with unknown…

Data Structures and Algorithms · Computer Science 2025-06-05 Jan Seyfried , Sayantan Sen , Marco Tomamichel

This paper introduces a new property of estimators of the strength of statistical association, which helps characterize how well an estimator will perform in scenarios where dependencies between continuous and discrete random variables need…

Machine Learning · Statistics 2021-01-12 Kiran Karra , Lamine Mili