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Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and…

Machine Learning · Computer Science 2024-05-07 Andrey Veprikov , Alexander Afanasiev , Anton Khritankov

Mutual Information (MI) and Conditional Mutual Information (CMI) are multi-purpose tools from information theory that are able to naturally measure the statistical dependencies between random variables, thus they are usually of central…

Machine Learning · Computer Science 2022-11-22 Bao Duong , Thin Nguyen

Validating the safety and performance of an autonomous vehicle (AV) requires benchmarking on real-world driving logs. However, typical driving logs contain mostly uneventful scenarios with minimal interactions between road users.…

Robotics · Computer Science 2025-02-11 Wenhao Ding , Sushant Veer , Karen Leung , Yulong Cao , Marco Pavone

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

Partial information decomposition (PID) of the multivariate mutual information describes the distinct ways in which a set of source variables contains information about a target variable. The groundbreaking work of Williams and Beer has…

Information Theory · Computer Science 2021-03-31 Abdullah Makkeh , Aaron J. Gutknecht , Michael Wibral

The performance of Recommender Systems (RS) varies significantly across users, yet the underlying reasons for this variance remain poorly understood. This paper introduces a unified framework to analyze and explain this performance gap by…

Information Retrieval · Computer Science 2026-03-04 Michaël Soumm , Alexandre Fournier-Montgieux , Adrian Popescu , Bertrand Delezoide

Exploration in environments with continuous control and sparse rewards remains a key challenge in reinforcement learning (RL). Recently, surprise has been used as an intrinsic reward that encourages systematic and efficient exploration. We…

Machine Learning · Computer Science 2019-11-01 Haitao Xu , Brendan McCane , Lech Szymanski

The Shannon information-entropy uncertainty (in brief as "information uncertainty") is used to analyze the fragments in the measured 140$A$ MeV $^{40, 48}$Ca + $^{9}$Be and $^{58, 64}$Ni + $^{9}$Be reactions. A scaling phenomenon is found…

Nuclear Experiment · Physics 2016-03-23 Chun-Wang Ma , Yi-Dan Song , Chun-Yuan Qiao , Shan-Shan Wang , Hui-Ling Wei , Yu-Gang Ma , Xi-Guang Cao

Obtaining meaningful quantitative descriptions of the statistical dependence within multivariate systems is a difficult open problem. Recently, the Partial Information Decomposition (PID) was proposed to decompose mutual information (MI)…

Information Theory · Computer Science 2017-02-21 Robin A. A. Ince

The mutual information (MI) between two random variables is an important correlation measure in data analysis. The Shannon entropy of a joint probability distribution is the variable part under fixed marginals. We aim to minimize and…

Optimization and Control · Mathematics 2025-09-08 Paula Franke , Kay Hamacher , Paul Manns

A multi-agent AI system (MAS) is composed of multiple autonomous agents that interact, exchange information, and make decisions based on internal generative models. Recent advances in large language models and tool-using agents have made…

We develop a Bayesian model for decision-making under time pressure with endogenous information acquisition. In our model, the decision maker decides when to observe (costly) information by sampling an underlying continuous-time stochastic…

Artificial Intelligence · Computer Science 2016-10-25 Ahmed M. Alaa , Mihaela van der Schaar

Rare events attract more attention and interests in many scenarios of big data such as anomaly detection and security systems. To characterize the rare events importance from probabilistic perspective, the message importance measure (MIM)…

Information Theory · Computer Science 2019-01-07 Rui She , Shanyun Liu , Pingyi Fan

The study of inter-human communication requires a more complex framework than Shannon's (1948) mathematical theory of communication because "information" is defined in the latter case as meaningless uncertainty. Assuming that meaning cannot…

Digital Libraries · Computer Science 2013-03-15 Loet Leydesdorff , Inga A. Ivanova

Metal Additive Manufacturing (MAM) has reshaped the manufacturing industry, offering benefits like intricate design, minimal waste, rapid prototyping, material versatility, and customized solutions. However, its full industry adoption faces…

Machine Learning · Computer Science 2024-01-12 Ahmed Shoyeb Raihan , Hamed Khosravi , Tanveer Hossain Bhuiyan , Imtiaz Ahmed

In this work we introduce the randomness which is truly quantum mechanical in nature arising as an act of measurement. For a composite classical system we have the joint entropy to quantify the randomness present in the total system and…

Quantum Physics · Physics 2018-05-25 Indranil Chakrabarty , Abhishek Deshpande , Sourav Chatterjee

Identifying the parameters of a model and rating competitive models based on measured data has been among the most important but challenging topics in modern science and engineering, with great potential of application in structural system…

Computation · Statistics 2017-08-02 F. A. DiazDelaO , A. Garbuno-Inigo , S. K. Au , I. Yoshida

Message importance measure (MIM) is an important index to describe the message importance in the scenario of big data. Similar to the Shannon Entropy and Renyi Entropy, MIM is required to characterize the uncertainty of a random process and…

Information Theory · Computer Science 2016-07-07 Pingyi Fan , Yunquan Dong , Jiaxun Lu , Shanyun Liu

We propose a fully data-driven approach to designing mutual information (MI) estimators. Since any MI estimator is a function of the observed sample from two random variables, we parameterize this function with a neural network (MIST) and…

Machine Learning · Computer Science 2026-02-24 German Gritsai , Megan Richards , Maxime Méloux , Kyunghyun Cho , Maxime Peyrard

Every living organism struggles against disruptive environmental forces to carve out and maintain an orderly niche. We propose that such a struggle to achieve and preserve order might offer a principle for the emergence of useful behaviors…

Machine Learning · Computer Science 2021-02-09 Glen Berseth , Daniel Geng , Coline Devin , Nicholas Rhinehart , Chelsea Finn , Dinesh Jayaraman , Sergey Levine