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Learning invariant graph representations for out-of-distribution (OOD) generalization remains challenging because the learned representations often retain spurious components. To address this challenge, this work introduces a new tool from…

Machine Learning · Computer Science 2025-12-09 Barproda Halder , Pasan Dissanayake , Sanghamitra Dutta

We consider the problem of quantifying the information shared by a pair of random variables $X_{1},X_{2}$ about another variable $S$. We propose a new measure of shared information, called extractable shared information, that is left…

Information Theory · Computer Science 2017-11-13 Johannes Rauh , Pradeep Kr. Banerjee , Eckehard Olbrich , Jürgen Jost , Nils Bertschinger

Reference information plays an essential role for making decisions under uncertainty, yet may vary across multiple data sources. In this paper, we study resource allocation in stochastic dynamic environments, where we perform information…

Optimization and Control · Mathematics 2024-11-05 Yanru Guo , Bo Zhou , Ruiwei Jiang , Xi , Yang , Siqian Shen

Context: Many systems require receiving data from multiple information sources, which act as distributed network devices that asynchronously send the latest data at their own pace to generalize various kinds of devices and connections,…

Programming Languages · Computer Science 2025-03-03 Tetsuo Kamina , Tomoyuki Aotani , Hidehiko Masuhara

Most parallel applications suffer from load imbalance, a crucial performance degradation factor. In particle simulations, this is mainly due to the migration of particles between processing elements, which eventually gather unevenly and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-26 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

Biological systems sense and extract information from fluctuating signals while operating under energetic constraints and limited resolution. We introduce a general chemical model in which a sensor, coupled to a signaling pathway activated…

Statistical Mechanics · Physics 2025-12-09 Giorgio Nicoletti , Ivan Di Terlizzi , Daniel Maria Busiello

Over the Eight decades, computing paradigms have shifted from large, centralized systems to compact, distributed architectures, leading to the rise of the Distributed Computing Continuum (DCC). In this model, multiple layers such as cloud,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-10 Praveen Kumar Donta , Qiyang Zhang , Schahram Dustdar

The quest for a quantitative characterization of community and modular structure of complex networks produced a variety of methods and algorithms to classify different networks. However, it is not clear if such methods provide consistent,…

Physics and Society · Physics 2016-01-08 Juan Ignacio Perotti , Claudio Juan Tessone , Guido Caldarelli

Factor graphs are a ubiquitous tool for multi-source inference in robotics and multi-sensor networks. They allow for heterogeneous measurements from many sources to be concurrently represented as factors in the state posterior distribution,…

Information Theory · Computer Science 2023-03-14 Jesse Milzman , Andre Harrison , Carlos Nieto-Granda , John Rogers

Consider a joint quantum state of a system and its environment. A measurement on the environment induces a decomposition of the system state. Using algorithmic information theory, we define the preparation information of a pure or mixed…

Quantum Physics · Physics 2015-06-26 Andrei N. Soklakov , Ruediger Schack

Data fusion has become an active research topic in recent years. Growing computational performance has allowed the use of redundant sensors to measure a single phenomenon. While Bayesian fusion approaches are common in general applications,…

Robotics · Computer Science 2017-04-25 Andres F. Echeverri , Henry Medeiros , Ryan Walsh , Yevgeniy Reznichenko , Richard Povinelli

The concept of entropy, firstly introduced in information theory, rapidly became popular in many applied sciences via Shannon's formula to measure the degree of heterogeneity among observations. A rather recent research field aims at…

Methodology · Statistics 2017-03-20 Linda Altieri , Daniela Cocchi , Giulia Roli

We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is…

Adaptation and Self-Organizing Systems · Physics 2012-06-18 A. Ajdari Rad , I. Sendiña-Nadal , D. Papo , M. Zanin , J. M. Buldú , F. del Pozo , S. Boccaletti

Information theory is a powerful framework for quantifying complexity, uncertainty, and dynamical structure in time-series data, with widespread applicability across disciplines such as physics, finance, and neuroscience. However, the…

Information Theory · Computer Science 2026-01-26 Annie G. Bryant , Oliver M. Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

Transfer entropy provides a general tool for analyzing the magnitudes and directions---but not the \emph{kinds}---of information transfer in a system. We extend transfer entropy in two complementary ways. First, we distinguish…

Data Analysis, Statistics and Probability · Physics 2011-02-09 Paul L. Williams , Randall D. Beer

This paper considers the problem of defining a measure of redundant information that quantifies how much common information two or more random variables specify about a target random variable. We discussed desired properties of such a…

Information Theory · Computer Science 2023-07-19 Virgil Griffith , Tracey Ho

Systems of interest for theoretical or experimental work often exhibit high-order interactions, corresponding to statistical interdependencies in groups of variables that cannot be reduced to dependencies in subsets of them. While still…

Information Theory · Computer Science 2024-04-11 Fernando E. Rosas , Pedro A. M. Mediano , Michael Gastpar

Quantum information processing is limited, in practice, to efficiently implementable operations. This motivates the study of quantum divergences that preserve their operational meaning while faithfully capturing these computational…

Quantum Physics · Physics 2025-09-26 Álvaro Yángüez , Thomas A. Hahn , Jan Kochanowski

In this paper, we present a novel framework for data redundancy measurement based on probabilistic modeling of datasets, and a new criterion for redundancy detection that is resilient to noise. We also develop new methods for data…

Machine Learning · Computer Science 2024-01-17 Chunxu Cao , Qiang Zhang

Partial information decompositions (PIDs), which quantify information interactions between three or more variables in terms of uniqueness, redundancy and synergy, are gaining traction in many application domains. However, our understanding…

Information Theory · Computer Science 2023-02-24 Praveen Venkatesh , Keerthana Gurushankar , Gabriel Schamberg
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