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The Partial Information Decomposition (PID) [arXiv:1004.2515] provides a theoretical framework to characterize and quantify the structure of multivariate information sharing. A new method (Idep) has recently been proposed for computing a…

Statistical Mechanics · Physics 2018-04-03 James W. Kay , Robin A. A. Ince

Text-to-image diffusion models have made significant progress in generating naturalistic images from textual inputs, and demonstrate the capacity to learn and represent complex visual-semantic relationships. While these diffusion models…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Rushikesh Zawar , Shaurya Dewan , Prakanshul Saxena , Yingshan Chang , Andrew Luo , Yonatan Bisk

This paper analyzes the information disclosure problems originated in economics through the lens of information theory. Such problems are radically different from the conventional communication paradigms in information theory since they…

Information Theory · Computer Science 2016-11-15 Emrah Akyol , Cedric Langbort , Tamer Basar

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

Collaborative information serves as the cornerstone of recommender systems which typically focus on capturing it from user-item interactions to deliver personalized services. However, current understanding of this crucial resource remains…

Information Retrieval · Computer Science 2025-11-27 Xiaokun Zhang , Zhaochun Ren , Bowei He , Ziqiang Cui , Chen Ma

In this paper, we introduce a game theoretic framework for studying the problem of minimizing the completion time of instantly decodable network coding (IDNC) for cooperative data exchange (CDE) in decentralized wireless network. In this…

Information Theory · Computer Science 2014-04-16 Ahmed Douik , Sameh Sorour , Hamidou Tembine , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

In this paper, we introduce Partial Information Decomposition of Features (PIDF), a new paradigm for simultaneous data interpretability and feature selection. Contrary to traditional methods that assign a single importance value, our…

Machine Learning · Computer Science 2025-11-17 Charles Westphal , Stephen Hailes , Mirco Musolesi

We provide an information-theoretic analysis of Thompson sampling that applies across a broad range of online optimization problems in which a decision-maker must learn from partial feedback. This analysis inherits the simplicity and…

Machine Learning · Computer Science 2015-06-09 Daniel Russo , Benjamin Van Roy

Collective intelligence, which aggregates the shared information from large crowds, is often negatively impacted by unreliable information sources with the low quality data. This becomes a barrier to the effective use of collective…

Social and Information Networks · Computer Science 2012-10-04 Guo-Jun Qi , Charu Aggarwal , Pierre Moulin , Thomas Huang

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

This paper examines how an event from one random variable provides pointwise mutual information about an event from another variable via probability mass exclusions. We start by introducing probability mass diagrams, which provide a visual…

Information Theory · Computer Science 2018-11-14 Conor Finn , Joseph T Lizier

Learning cooperative policies for multi-agent systems is often challenged by partial observability and a lack of coordination. In some settings, the structure of a problem allows a distributed solution with limited communication. Here, we…

Systems and Control · Computer Science 2017-08-01 Roel Dobbe , David Fridovich-Keil , Claire Tomlin

We consider an approximation scheme for multivariate information assuming that synergistic information only appearing in higher order joint distributions is suppressed, which may hold in large classes of systems. Our approximation scheme…

Methodology · Statistics 2020-09-03 Masahiro Takimoto

Understanding the nature of high-quality summaries is crucial to further improve the performance of multi-document summarization. We propose an approach to characterize human-written summaries using partial information decomposition, which…

Computation and Language · Computer Science 2024-05-24 Laura Mascarell , Yan L'Homme , Majed El Helou

When a machine-learning algorithm makes biased decisions, it can be helpful to understand the sources of disparity to explain why the bias exists. Towards this, we examine the problem of quantifying the contribution of each individual…

Machine Learning · Computer Science 2022-06-20 Sanghamitra Dutta , Praveen Venkatesh , Pulkit Grover

The principles of statistical mechanics and information theory play an important role in learning and have inspired both theory and the design of numerous machine learning algorithms. The new aspect in this paper is a focus on integrating…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Susanne Still

We propose definitions of substitutes and complements for pieces of information ("signals") in the context of a decision or optimization problem, with game-theoretic and algorithmic applications. In a game-theoretic context, substitutes…

Computer Science and Game Theory · Computer Science 2017-03-28 Yiling Chen , Bo Waggoner

In this paper, we consider sequential dynamic team decision problems with nonclassical information structures. First, we address the problem from the point of view of a ``manager" who seeks to derive the optimal strategy of the team in a…

Optimization and Control · Mathematics 2024-07-23 Andreas A. Malikopoulos

Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…

Data is the central commodity of the digital economy. Unlike physical goods, it is non-rival, replicable at near-zero cost, and traded under heterogeneous licensing rules. These properties defy standard supply--demand theory and call for…

Physics and Society · Physics 2025-10-13 Pasquale Casaburi , Giovanni Piccioli , Pierpaolo Vivo
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