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Mutual information has many applications in image alignment and matching, mainly due to its ability to measure the statistical dependence between two images, even if the two images are from different modalities (e.g., CT and MRI). It…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Jiecheng Liao , Junhao Lu , Jeff Ji , Jiacheng He

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

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

The information leakage of a cryptographic implementation with a given degree of protection is evaluated in a typical situation when the signal-to-noise ratio is small. This is solved by expanding Kullback-Leibler divergence, entropy, and…

Information Theory · Computer Science 2021-02-05 Olivier Rioul , Wei Cheng , Sylvain Guilley

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

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

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

A new cybersecurity attack,where an adversary illicitly runs crypto-mining software over the devices of unaware users, is emerging in both the literature and in the wild . This attack, known as cryptojacking, has proved to be very effective…

Cryptography and Security · Computer Science 2022-08-09 Maurantonio Caprolu , Simone Raponi , Gabriele Oligeri , Roberto Di Pietro

Many recent methods for unsupervised or self-supervised representation learning train feature extractors by maximizing an estimate of the mutual information (MI) between different views of the data. This comes with several immediate…

Machine Learning · Computer Science 2020-01-24 Michael Tschannen , Josip Djolonga , Paul K. Rubenstein , Sylvain Gelly , Mario Lucic

We study some of the most commonly used mutual information estimators, based on histograms of fixed or adaptive bin size, $k$-nearest neighbors and kernels, and focus on optimal selection of their free parameters. We examine the consistency…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Angeliki Papana , Dimitris Kugiumtzis

This work uses an information-based methodology to infer the connectivity of complex systems from observed time-series data. We first derive analytically an expression for the Mutual Information Rate (MIR), namely, the amount of information…

Chaotic Dynamics · Physics 2016-05-04 E. Bianco-Martinez , N. Rubido , Ch. G. Antonopoulos , M. S. Baptista

The ability to compress observational data and accurately estimate physical parameters relies heavily on informative summary statistics. In this paper, we introduce the use of mutual information (MI) as a means of evaluating the quality of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Ce Sui , Xiaosheng Zhao , Tao Jing , Yi Mao

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

Variational mutual information (MI) estimators are widely used in unsupervised representation learning methods such as contrastive predictive coding (CPC). A lower bound on MI can be obtained from a multi-class classification problem, where…

Machine Learning · Computer Science 2020-12-04 Jiaming Song , Stefano Ermon

I present several new relations between mutual information (MI) and statistical estimation error for a system that can be regarded simultaneously as a communication channel and as an estimator of an input parameter. I first derive a…

Applications · Statistics 2010-10-08 Sudhakar Prasad

Recent contrastive representation learning methods rely on estimating mutual information (MI) between multiple views of an underlying context. E.g., we can derive multiple views of a given image by applying data augmentation, or we can…

Machine Learning · Computer Science 2021-06-28 Alessandro Sordoni , Nouha Dziri , Hannes Schulz , Geoff Gordon , Phil Bachman , Remi Tachet

The ability of machine learning (ML) algorithms to generalize well to unseen data has been studied through the lens of information theory, by bounding the generalization error with the input-output mutual information (MI), i.e., the MI…

Machine Learning · Statistics 2024-06-07 Kimia Nadjahi , Kristjan Greenewald , Rickard Brüel Gabrielsson , Justin Solomon

One of the most complex tasks of decision making and planning is to gather information. This task becomes even more complex when the state is high-dimensional and its belief cannot be expressed with a parametric distribution. Although the…

Artificial Intelligence · Computer Science 2022-09-26 Gilad Rotman , Vadim Indelman

Recent advancements in large language models (LLMs) have transformed natural language understanding and generation, leading to extensive benchmarking across diverse tasks. However, cryptanalysis - a critical area for data security and its…

Computation and Language · Computer Science 2025-09-18 Utsav Maskey , Chencheng Zhu , Usman Naseem

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger
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