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Causality is a central topic in scientific inquiry, yet for complex systems, the identification and analysis of synergistic causation remain a challenging and fundamental problem. In the context of causal relations among multivariate…

Machine Learning · Statistics 2026-05-06 Mingzhe Yang , Shuo Wang , Jiang Zhang

The recent explosion of interest in multimodal applications has resulted in a wide selection of datasets and methods for representing and integrating information from different modalities. Despite these empirical advances, there remain…

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

For biological experiments aiming at calibrating models with unknown parameters, a good experimental design is crucial, especially for those subject to various constraints, such as financial limitations, time consumption and physical…

Applications · Statistics 2014-07-22 Xiao Lin , Gabriel Terejanu

Selecting a minimal feature set that is maximally informative about a target variable is a central task in machine learning and statistics. Information theory provides a powerful framework for formulating feature selection algorithms --…

Information Theory · Computer Science 2023-05-05 Patricia Wollstadt , Sebastian Schmitt , Michael Wibral

Identifying the origin of nonequilibrium characteristics in a generic interacting system having multiple degrees of freedom is a challenging task. In this context, information theoretic measures such as mutual information and related…

Statistical Mechanics · Physics 2025-07-24 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

Robotic systems often operate with uncertainties in their dynamics, for example, unknown inertial properties. Broadly, there are two approaches for controlling uncertain systems: design robust controllers in spite of uncertainty, or…

Robotics · Computer Science 2019-06-10 Keenan Albee , Monica Ekal , Rodrigo Ventura , Richard Linares

Distributed computation in artificial life and complex systems is often described in terms of component operations on information: information storage, transfer and modification. Information modification remains poorly described however,…

Information Theory · Computer Science 2013-10-10 Joseph T. Lizier , Benjamin Flecker , Paul L. Williams

In the theoretical modelling of a physical system a crucial step consists in the identification of those degrees of freedom that enable a synthetic, yet informative representation of it. While in some cases this selection can be carried out…

Statistical Mechanics · Physics 2020-06-30 Marco Giulini , Roberto Menichetti , M. Scott Shell , Raffaello Potestio

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…

Filter selection techniques are known for their simplicity and efficiency. However this kind of methods doesn't take into consideration the features inter-redundancy. Consequently the un-removed redundant features remain in the final…

Machine Learning · Computer Science 2012-08-21 Waad Bouaguel , Ghazi Bel Mufti

While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among variables, i.e., how multiple sources contribute redundantly, uniquely, or…

Information Theory · Computer Science 2026-05-05 Aobo Lyu , Andrew Clark , Netanel Raviv

To fully characterize the information that two `source' variables carry about a third `target' variable, one must decompose the total information into redundant, unique and synergistic components, i.e. obtain a partial information…

Information Theory · Computer Science 2015-05-13 Adam B. Barrett

The dramatic increase of observational data across industries provides unparalleled opportunities for data-driven decision making and management, including the manufacturing industry. In the context of production, data-driven approaches can…

Optimization and Control · Mathematics 2018-01-09 Najibesadat Sadati , Ratna Babu Chinnam , Milad Zafar Nezhad

To characterize the complex higher-order interactions among variables within a system, this study introduces a novel framework, termed System Information Decomposition (SID), aimed at decomposing the information entropy of variables into…

Information Theory · Computer Science 2024-11-12 Aobo Lyu , Bing Yuan , Ou Deng , Mingzhe Yang , Jiang Zhang

We consider partially-specified optimization problems where the goal is to actively, but efficiently, acquire missing information about the problem in order to solve it. An algorithm designer wishes to solve a linear program (LP), $\max…

Data Structures and Algorithms · Computer Science 2021-09-07 Shuran Zheng , Bo Waggoner , Yang Liu , Yiling Chen

Most information dynamics and statistical causal analysis frameworks rely on the common intuition that causal interactions are intrinsically pairwise -- every 'cause' variable has an associated 'effect' variable, so that a 'causal arrow'…

Neurons and Cognition · Quantitative Biology 2019-09-06 Pedro A. M. Mediano , Fernando Rosas , Robin L. Carhart-Harris , Anil K. Seth , Adam B. Barrett

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

This paper introduces a novel physics-informed impact identification (Phy-ID) framework. The proposed method integrates observational, inductive, and learning biases to combine physical knowledge with data-driven inference in a unified…

Machine Learning · Computer Science 2026-03-31 Natália Ribeiro Marinho , Richard Loendersloot , Jan Willem Wiegman , Frank Grooteman , Tiedo Tinga

The Partial Information Decomposition (PID) framework has emerged as a powerful tool for analyzing high-order interdependencies in complex network systems. However, its application to dynamic processes remains challenging due to the…

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