English
Related papers

Related papers: On Study of Mutual Information and its Estimation …

200 papers

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

The quantification of aleatoric and epistemic uncertainty in terms of conditional entropy and mutual information, respectively, has recently become quite common in machine learning. While the properties of these measures, which are rooted…

Machine Learning · Computer Science 2023-06-27 Lisa Wimmer , Yusuf Sale , Paul Hofman , Bern Bischl , Eyke Hüllermeier

Mutual information (MI) is a useful information-theoretic measure to quantify the statistical dependence between two random variables: $X$ and $Y$. Often, we are interested in understanding how the dependence between $X$ and $Y$ in one set…

Information Theory · Computer Science 2025-07-22 Chetan Gohil , Oliver M Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

As digital data transmission continues to scale, concerns about privacy grow increasingly urgent - yet privacy remains a socially constructed and ambiguously defined concept, lacking a universally accepted quantitative measure. This work…

Cryptography and Security · Computer Science 2025-08-13 Ikram Messadi , Giulia Cervia , Vincent Itier

With the success of self-supervised representations, researchers seek a better understanding of the information encapsulated within a representation. Among various interpretability methods, we focus on classification-based linear probing.…

Information Theory · Computer Science 2023-12-18 Kwanghee Choi , Jee-weon Jung , Shinji Watanabe

While the accuracy of modern deep learning models has significantly improved in recent years, the ability of these models to generate uncertainty estimates has not progressed to the same degree. Uncertainty methods are designed to provide…

Machine Learning · Statistics 2020-06-17 Adam M. Oberman , Chris Finlay , Alexander Iannantuono , Tiago Salvador

The volume of freely scraped data on the Internet has driven the tremendous success of deep learning. Along with this comes the growing concern about data privacy and security. Numerous methods for generating unlearnable examples have been…

Machine Learning · Computer Science 2026-03-05 Yifan Zhu , Yibo Miao , Yinpeng Dong , Xiao-Shan Gao

Computation of Mutual Information (MI) helps understand the amount of information shared between a pair of random variables. Automated feature selection techniques based on MI ranking are regularly used to extract information from sensitive…

Cryptography and Security · Computer Science 2020-09-24 Ankit Srivastava , Samira Pouyanfar , Joshua Allen , Ken Johnston , Qida Ma

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

Data Analysis, Statistics and Probability · Physics 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

We provide a mutual information lower bound that can be used to analyze the effect of training in models with unknown parameters. For large-scale systems, we show that this bound can be calculated using the difference between two…

Information Theory · Computer Science 2021-08-21 Xiangbo Meng , Kang Gao , Bertrand M. Hochwald

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

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

Multi-modal learning is a fast growing area in artificial intelligence. It tries to help machines understand complex things by combining information from different sources, like images, text, and audio. By using the strengths of each…

Machine Learning · Computer Science 2025-12-22 Qihang Jin , Enze Ge , Yuhang Xie , Hongying Luo , Junhao Song , Ziqian Bi , Chia Xin Liang , Jibin Guan , Joe Yeong , Xinyuan Song , Junfeng Hao

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

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

Like any field of empirical science, AI may be approached axiomatically. We formulate requirements for a general-purpose, human-level AI system in terms of postulates. We review the methodology of deep learning, examining the explicit and…

Artificial Intelligence · Computer Science 2018-06-26 Eray Özkural

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

In this paper, we evaluate dimensionality reduction methods in terms of difficulty in estimating visual information on original images from dimensionally reduced ones. Recently, dimensionality reduction has been receiving attention as the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Masaki Kitayama , Hitoshi Kiya

Representation learning methods utilizing the InfoNCE loss have demonstrated considerable capacity in reducing human annotation effort by training invariant neural feature extractors. Although different variants of the training objective…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Hanyang Chen , Yanchao Yang

Deep learning methods have revolutionized speech recognition, image recognition, and natural language processing since 2010. Each of these tasks involves a single modality in their input signals. However, many applications in the artificial…

Artificial Intelligence · Computer Science 2020-07-15 Chao Zhang , Zichao Yang , Xiaodong He , Li Deng