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Community structure discovery in complex networks is a quite challenging problem spanning many applications in various disciplines such as biology, social network and physics. Emerging from various approaches numerous algorithms have been…

Social and Information Networks · Computer Science 2012-08-16 Günce Keziban Orman , Vincent Labatut , Hocine Cherifi

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

Mutual information (MI) is a fundamental measure of statistical dependence, with a myriad of applications to information theory, statistics, and machine learning. While it possesses many desirable structural properties, the estimation of…

Information Theory · Computer Science 2021-10-19 Ziv Goldfeld , Kristjan Greenewald

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

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…

Given the increasing popularity of algorithms for overlapping clustering, in particular in social network analysis, quantitative measures are needed to measure the accuracy of a method. Given a set of true clusters, and the set of clusters…

Physics and Society · Physics 2013-08-05 Aaron F. McDaid , Derek Greene , Neil Hurley

This paper compares and evaluates a set of non-parametric mutual information estimators with the goal of providing a novel toolset to progress in the analysis of the capacity of the nonlinear optical channel, which is currently an open…

Information Theory · Computer Science 2018-01-25 Tommaso Catuogno , Menelaos Ralli Camara , Marco Secondini

A new trend in deep learning, represented by Mutual Information Neural Estimation (MINE) and Information Noise Contrast Estimation (InfoNCE), is emerging. In this trend, similarity functions and Estimated Mutual Information (EMI) are used…

Information Theory · Computer Science 2023-05-25 Chenguang Lu

The method of maximum likelihood estimation (MLE) is a widely used statistical approach for estimating the values of one or more unknown parameters of a probabilistic model based on observed data. In this tutorial, I briefly review the…

Data Analysis, Statistics and Probability · Physics 2018-12-03 Anthony Vella

The task of infomin learning aims to learn a representation with high utility while being uninformative about a specified target, with the latter achieved by minimising the mutual information between the representation and the target. It…

Machine Learning · Computer Science 2023-02-22 Yanzhi Chen , Weihao Sun , Yingzhen Li , Adrian Weller

We address the practical problems of estimating the information relations that characterize large networks. Building on methods developed for analysis of the neural code, we show that reliable estimates of mutual information can be obtained…

Information Theory · Computer Science 2007-07-13 Noam Slonim , Gurinder S. Atwal , Gasper Tkacik , William Bialek

Mutual Information (MI) has been widely used as a loss regularizer for training neural networks. This has been particularly effective when learn disentangled or compressed representations of high dimensional data. However, differential…

Machine Learning · Computer Science 2022-06-22 Georg Pichler , Pierre Colombo , Malik Boudiaf , Günther Koliander , Pablo Piantanida

The design of informatively rich input signals is essential for accurate system identification, yet classical Fisher-information-based methods are inherently local and often inadequate in the presence of significant model uncertainty and…

Statistics Theory · Mathematics 2025-12-15 Piotr Bania , Anna Wójcik

This paper presents an experimental evaluation on the accuracy of indoor localisation. The research was carried out as part of a European Union project targeting the creation of ICT solutions for older adult care. Current expectation is…

Computers and Society · Computer Science 2020-09-08 Iuliana Marin , Maria Iuliana Bocicor , Arthur-Jozsef Molnar

Accurate localization is fundamental to a variety of applications, such as navigation, robotics, autonomous driving, and Augmented Reality (AR). Different from incremental localization, global localization has no drift caused by error…

Robotics · Computer Science 2021-03-30 Kejie Qiu , Shenzhou Chen , Jiahui Zhang , Rui Huang , Le Cui , Siyu Zhu , Ping Tan

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

Mutual information (MI) is an information-theoretic measure of dependency between two random variables. Several methods to estimate MI, from samples of two random variables with unknown underlying probability distributions have been…

Machine Learning · Computer Science 2020-11-18 P Aditya Sreekar , Ujjwal Tiwari , Anoop Namboodiri

We use a well known model (T. Vicsek et al. Phys Rev Lett 15, 1226 (1995)) for flocking to test mutual information as a tool for detecting order-disorder transitions, in particular when observations of the system are limited. We show that…

Data Analysis, Statistics and Probability · Physics 2009-11-13 R. T. Wicks , S. C. Chapman , R. O. Dendy

Localization is a key requirement for mobile robot autonomy and human-robot interaction. Vision-based localization is accurate and flexible, however, it incurs a high computational burden which limits its application on many…

Robotics · Computer Science 2016-12-30 Ronald Clark , Sen Wang , Hongkai Wen , Niki Trigoni , Andrew Markham

Deep learning systems have been reported to achieve state-of-the-art performances in many applications, and a key is the existence of well trained classifiers on benchmark datasets. As a main-stream loss function, the cross entropy can…

Machine Learning · Computer Science 2022-09-22 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao