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Optimal Causation Entropy (oCSE) is a robust causal network modeling technique that reveals causal networks from dynamical systems and coupled oscillators, distinguishing direct from indirect paths. CausationEntropy is a Python package that…

Machine Learning · Computer Science 2026-01-21 Kevin Slote , Jeremie Fish , Erik Bollt

We introduce an approach to inferring the causal architecture of stochastic dynamical systems that extends rate distortion theory to use causal shielding---a natural principle of learning. We study two distinct cases of causal inference:…

Information Theory · Computer Science 2010-08-23 Susanne Still , James P. Crutchfield , Christopher J. Ellison

This paper focuses on causal structure estimation from time series data in which measurements are obtained at a coarser timescale than the causal timescale of the underlying system. Previous work has shown that such subsampling can lead to…

Artificial Intelligence · Computer Science 2016-07-14 Antti Hyttinen , Sergey Plis , Matti Järvisalo , Frederick Eberhardt , David Danks

The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such observations, calls for a rigorous and efficient method of causal network inference. Here…

Information Theory · Computer Science 2015-05-19 Jie Sun , Dane Taylor , Erik M. Bollt

Inference of causality is central in nonlinear time series analysis and science in general. A popular approach to infer causality between two processes is to measure the information flow between them in terms of transfer entropy. Using…

Chaotic Dynamics · Physics 2015-04-16 Jie Sun , Erik M. Bollt

Boolean functions and networks are commonly used in the modeling and analysis of complex biological systems, and this paradigm is highly relevant in other important areas in data science and decision making, such as in the medical field and…

Artificial Intelligence · Computer Science 2020-06-02 Jie Sun , Abd AlRahman AlMomani , Erik Bollt

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

Information Theory · Computer Science 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

Maximum entropy principle (MEP) analysis with few non-zero effective interactions successfully characterizes the distribution of dynamical states of pulse-coupled networks in many experiments, e.g., in neuroscience. To better understand the…

Biological Physics · Physics 2019-01-17 Zhi-Qin John Xu , Douglas Zhou , David Cai

A key challenge in systems biology is the elucidation of the underlying principles, or fundamental laws, which determine the cellular phenotype. Understanding how these fundamental principles are altered in diseases like cancer is important…

Molecular Networks · Quantitative Biology 2014-08-06 Andrew Teschendorff , Peter Sollich , Reimer Kuehn

Causal discovery between collections of time-series data can help diagnose causes of symptoms and hopefully prevent faults before they occur. However, reliable causal discovery can be very challenging, especially when the data acquisition…

Machine Learning · Computer Science 2023-01-12 Haonan Chen , Bo Yuan Chang , Mohamed A. Naiel , Georges Younes , Steven Wardell , Stan Kleinikkink , John S. Zelek

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

Methodology · Statistics 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

Identifying causal relationships is a challenging yet crucial problem in many fields of science like epidemiology, climatology, ecology, genomics, economics and neuroscience, to mention only a few. Recent studies have demonstrated that…

Regime switching is ubiquitous in many complex dynamical systems with multiscale features, chaotic behavior, and extreme events. In this paper, a causation entropy boosting (CEBoosting) strategy is developed to facilitate the detection of…

Dynamical Systems · Mathematics 2024-10-15 Chuanqi Chen , Nan Chen , Jin-Long Wu

Understanding and even defining what constitutes animal interactions remains a challenging problem. Correlational tools may be inappropriate for detecting communication between a set of many agents exhibiting nonlinear behavior. A different…

Quantitative Methods · Quantitative Biology 2017-01-02 Warren M. Lord , Jie Sun , Nicholas T. Ouellette , Erik M. Bollt

Dynamical systems with a distributed yet interconnected structure, like multi-rigid-body robots or large-scale multi-agent systems, introduce valuable sparsity into the system dynamics that can be exploited in an optimal control setting for…

Robotics · Computer Science 2021-04-08 Roshan Pradhan , Shuo Yang , Frank Dellaert , Howie Choset , Matthew Travers

The thermodynamic definition of entropy can be extended to nonequilibrium systems based on its relation to information. To apply this definition in practice requires access to the physical system's microstates, which may be prohibitively…

Statistical Mechanics · Physics 2020-08-21 Gil Ariel , Haim Diamant

In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

Inferring causal relationships from observational data is rarely straightforward, but the problem is especially difficult in high dimensions. For these applications, causal discovery algorithms typically require parametric restrictions or…

Methodology · Statistics 2022-06-29 David S. Watson , Ricardo Silva

We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them…

The widespread applicability of analytics in cyber-physical systems has motivated research into causal inference methods. Predictive estimators are not sufficient when analytics are used for decision making; rather, the flow of causal…

Systems and Control · Computer Science 2017-03-22 Roy Dong , Eric Mazumdar , S. Shankar Sastry
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