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The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is…

Chaotic Dynamics · Physics 2015-05-27 M. S. Baptista , R. M. Rubinger , E. R. V. Junior , J. C. Sartorelli , U. Parlitz , C. Grebogi

In the analysis of time series from nonlinear sources, mutual information (MI) is used as a nonlinear statistical criterion for the selection of an appropriate time delay in time delay reconstruction of the state space. MI is a statistic…

Chaotic Dynamics · Physics 2009-10-31 Henry D. I. Abarbanel , Naoki Masuda , M. I. Rabinovich , Evren Tumer

In recent several years, the information bottleneck (IB) principle provides an information-theoretic framework for deep multi-view clustering (MVC) by compressing multi-view observations while preserving the relevant information of multiple…

Information Theory · Computer Science 2024-03-26 Xiaoqiang Yan , Zhixiang Jin , Fengshou Han , Yangdong Ye

Mutual Information (MI) plays an important role in representation learning. However, MI is unfortunately intractable in continuous and high-dimensional settings. Recent advances establish tractable and scalable MI estimators to discover…

Machine Learning · Statistics 2020-05-05 Liangjian Wen , Yiji Zhou , Lirong He , Mingyuan Zhou , Zenglin Xu

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

Diffusion models for Text-to-Image (T2I) conditional generation have recently achieved tremendous success. Yet, aligning these models with user's intentions still involves a laborious trial-and-error process, and this challenging alignment…

Machine Learning · Computer Science 2025-02-12 Chao Wang , Giulio Franzese , Alessandro Finamore , Massimo Gallo , Pietro Michiardi

The key challenge in unaligned multimodal language sequences lies in effectively integrating information from various modalities to obtain a refined multimodal joint representation. Recently, the disentangle and fuse methods have achieved…

Computation and Language · Computer Science 2024-09-20 Fan Qian , Jiqing Han , Jianchen Li , Yongjun He , Tieran Zheng , Guibin Zheng

The mutual information (MI) between two random variables is an important correlation measure in data analysis. The Shannon entropy of a joint probability distribution is the variable part under fixed marginals. We aim to minimize and…

Optimization and Control · Mathematics 2025-09-08 Paula Franke , Kay Hamacher , Paul Manns

In this paper, we investigate the problem of learning disentangled representations. Given a pair of images sharing some attributes, we aim to create a low-dimensional representation which is split into two parts: a shared representation…

Machine Learning · Statistics 2019-12-10 Eduardo Hugo Sanchez , Mathieu Serrurier , Mathias Ortner

Sliced mutual information (SMI) is defined as an average of mutual information (MI) terms between one-dimensional random projections of the random variables. It serves as a surrogate measure of dependence to classic MI that preserves many…

Information Theory · Computer Science 2022-10-18 Ziv Goldfeld , Kristjan Greenewald , Theshani Nuradha , Galen Reeves

Text-to-image generation and image captioning are recently emerged as a new experimental paradigm to assess machine intelligence. They predict continuous quantity accompanied by their sampling techniques in the generation, making evaluation…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Jin-Hwa Kim , Yunji Kim , Jiyoung Lee , Kang Min Yoo , Sang-Woo Lee

The information bottleneck (IB) principle has been suggested as a way to analyze deep neural networks. The learning dynamics are studied by inspecting the mutual information (MI) between the hidden layers and the input and output. Notably,…

Machine Learning · Computer Science 2022-02-15 Stephan Sloth Lorenzen , Christian Igel , Mads Nielsen

Computing expected information gain (EIG) from prior to posterior (equivalently, mutual information between candidate observations and model parameters or other quantities of interest) is a fundamental challenge in Bayesian optimal…

Methodology · Statistics 2026-01-30 Fengyi Li , Ricardo Baptista , Youssef Marzouk

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

Consider a statistical problem where a set of parameters are of interest to a researcher. Then multiple confidence intervals can be constructed to infer the set of parameters simultaneously. The constructed multiple confidence intervals are…

Methodology · Statistics 2019-12-10 Taeho Kim , Edsel A. Pena

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

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

A novel information-theoretic approach is proposed to assess the global practical identifiability of Bayesian statistical models. Based on the concept of conditional mutual information, an estimate of information gained for each model…

Methodology · Statistics 2024-04-22 Sahil Bhola , Karthik Duraisamy

To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation…

Information Theory · Computer Science 2019-08-27 Chongjun Ouyang , Sheng Wu , Hongwen Yang

Materials informatics (MI), which uses artificial intelligence and data analysis techniques to improve the efficiency of materials development, is attracting increasing interest from industry. One of its main applications is the rapid…

Machine Learning · Computer Science 2023-02-07 Yoshihiro Osakabe , Akinori Asahara
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