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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 quantify conditional dependence among variables in many data-driven inference…

Machine Learning · Computer Science 2019-06-10 Sudipto Mukherjee , Himanshu Asnani , Sreeram Kannan

Estimating mutual information from observed samples is a basic primitive, useful in several machine learning tasks including correlation mining, information bottleneck clustering, learning a Chow-Liu tree, and conditional independence…

Information Theory · Computer Science 2018-10-11 Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Mutual information is widely applied to learn latent representations of observations, whilst its implication in classification neural networks remain to be better explained. We show that optimising the parameters of classification neural…

Machine Learning · Computer Science 2020-09-18 Zhenyue Qin , Dongwoo Kim , Tom Gedeon

In the last decade, recent successes in deep clustering majorly involved the Mutual Information (MI) as an unsupervised objective for training neural networks with increasing regularisations. While the quality of the regularisations have…

Providing natural language-based explanations to justify recommendations helps to improve users' satisfaction and gain users' trust. However, as current explanation generation methods are commonly trained with an objective to mimic existing…

Information Retrieval · Computer Science 2024-08-22 Yurou Zhao , Yiding Sun , Ruidong Han , Fei Jiang , Lu Guan , Xiang Li , Wei Lin , Weizhi Ma , Jiaxin Mao

We develop the use of mutual information (MI), a well-established metric in information theory, to interpret the inner workings of deep learning models. To accurately estimate MI from a finite number of samples, we present GMM-MI…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Davide Piras , Hiranya V. Peiris , Andrew Pontzen , Luisa Lucie-Smith , Ningyuan Guo , Brian Nord

Mutual information (MI) minimization has gained considerable interests in various machine learning tasks. However, estimating and minimizing MI in high-dimensional spaces remains a challenging problem, especially when only samples, rather…

Machine Learning · Computer Science 2020-07-27 Pengyu Cheng , Weituo Hao , Shuyang Dai , Jiachang Liu , Zhe Gan , Lawrence Carin

An outstanding challenge with the Integrated Information Theory of Consciousness (IIT) is to find a way of rapidly and accurately calculating integrated information from neural data. A number of measures of integrated information based on…

Neurons and Cognition · Quantitative Biology 2016-05-05 Daniel Toker , Friedrich Sommer

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

Background: Alignment of biological sequences such as DNA, RNA or proteins is one of the most widely used tools in computational bioscience. All existing alignment algorithms rely on heuristic scoring schemes based on biological expertise.…

Genomics · Quantitative Biology 2008-10-27 Orion Penner , Peter Grassberger , Maya Paczuski

Several recent works in communication systems have proposed to leverage the power of neural networks in the design of encoders and decoders. In this approach, these blocks can be tailored to maximize the transmission rate based on…

Information Theory · Computer Science 2020-07-15 Sina Molavipour , Germán Bassi , Mikael Skoglund

Efficient information processing is crucial for both living organisms and engineered systems. The mutual information rate, a core concept of information theory, quantifies the amount of information shared between the trajectories of input…

Molecular Networks · Quantitative Biology 2025-09-01 Manuel Reinhardt , Age J. Tjalma , Anne-Lena Moor , Christoph Zechner , Pieter Rein ten Wolde

Simulation-based inference enables learning the parameters of a model even when its likelihood cannot be computed in practice. One class of methods uses data simulated with different parameters to infer models of the likelihood-to-evidence…

Machine Learning · Computer Science 2022-06-08 Giulio Isacchini , Natanael Spisak , Armita Nourmohammad , Thierry Mora , Aleksandra M. Walczak

In the past few decades, researchers have proposed many discriminant analysis (DA) algorithms for the study of high-dimensional data in a variety of problems. Most DA algorithms for feature extraction are based on transformations that…

Computer Vision and Pattern Recognition · Computer Science 2012-06-12 Ali Shadvar

Wireless localization is a key requirement for many applications. It concerns position estimation of mobile nodes (agents) relative to fixed nodes (anchors) from wireless channel measurements. Cooperative localization is an advanced concept…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Henry Schulten , Gregor Dumphart , Antonios Koskinas , Armin Wittneben

Normalized mutual information is widely used as a similarity measure for evaluating the performance of clustering and classification algorithms. In this paper, we argue that results returned by the normalized mutual information are biased…

Social and Information Networks · Computer Science 2025-12-23 Maximilian Jerdee , Alec Kirkley , M. E. J. Newman

Diffusion bridge models in both continuous and discrete state spaces have recently become powerful tools in the field of generative modeling. In this work, we leverage the discrete state space formulation of bridge matching models to…

Machine Learning · Computer Science 2026-02-10 Iryna Zabarianska , Sergei Kholkin , Grigoriy Ksenofontov , Ivan Butakov , Alexander Korotin

The pointwise mutual information profile, or simply profile, is the distribution of pointwise mutual information for a given pair of random variables. One of its important properties is that its expected value is precisely the mutual…

Machine Learning · Statistics 2024-05-30 Paweł Czyż , Frederic Grabowski , Julia E. Vogt , Niko Beerenwinkel , Alexander Marx

Mutual information is an important measure of the dependence among variables. It has become widely used in statistics, machine learning, biology, etc. However, the standard techniques for estimating it often perform poorly in higher…

Data Analysis, Statistics and Probability · Physics 2023-09-18 Nick Carrara , Jesse Ernst

Online Class-Incremental continual Learning (OCIL) addresses the challenge of continuously learning from a single-channel data stream, adapting to new tasks while mitigating catastrophic forgetting. Recently, Mutual Information (MI)-based…

Machine Learning · Computer Science 2024-07-29 Huan Zhang , Fan Lyu , Shenghua Fan , Yujin Zheng , Dingwen Wang
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