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In this paper, we show through examples, how the existing definitions of information transfer, namely directed information and transfer entropy fail to capture true causal interaction between states in control dynamical system. We propose a…

最优化与控制 · 数学 2018-07-24 Subhrajit Sinha , Umesh Vaidya

Causal reasoning has been an indispensable capability for humans and other intelligent animals to interact with the physical world. In this work, we propose to endow an artificial agent with the capability of causal reasoning for completing…

机器学习 · 计算机科学 2019-10-07 Suraj Nair , Yuke Zhu , Silvio Savarese , Li Fei-Fei

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

统计理论 · 数学 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Multiple metrics have been developed to detect causality relations between data describing the elements constituting complex systems, all of them considering their evolution through time. Here we propose a metric able to detect causality…

数据分析、统计与概率 · 物理学 2016-05-20 Massimiliano Zanin

We consider the incorporation of causal knowledge about the presence or absence of (possibly indirect) causal relations into a causal model. Such causal relations correspond to directed paths in a causal model. This type of knowledge…

人工智能 · 计算机科学 2012-07-03 Giorgos Borboudakis , Ioannis Tsamardinos

Exploratory analysis of time series data can yield a better understanding of complex dynamical systems. Granger causality is a practical framework for analysing interactions in sequential data, applied in a wide range of domains. In this…

机器学习 · 计算机科学 2021-01-20 Ričards Marcinkevičs , Julia E. Vogt

This paper indicates causality as the tool that unifies the analysis of both activations and connectivity of brain areas, obtained with fMRI data. Causality analysis is commonly applied to study connectivity, so this work focuses on…

统计方法学 · 统计学 2011-02-25 Nevio Dubbini

This article proposes a systematic methodological review and objective criticism of existing methods enabling the derivation of time-varying Granger-causality statistics in neuroscience. The increasing interest and the huge number of…

应用统计 · 统计学 2017-04-12 Sezen Cekic , Didier Grandjean , Olivier Renaud

Transfer Entropy and Directed Information are information-theoretic measures of the directional dependency between stochastic processes. Following the definitions of Schreiber and Massey in discrete time, we define and evaluate these…

概率论 · 数学 2016-04-08 Nigel J. Newton

Granger causality (GC), a popular statistical method for the inference of directional influences between time series measured from a complex network, is sensitive to high-order (non-pairwise) interactions which fundamentally shape the…

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…

We propose a formal expansion of the transfer entropy to put in evidence irreducible sets of variables which provide information for the future state of each assigned target. Multiplets characterized by a large contribution to the expansion…

定量方法 · 定量生物学 2015-06-04 S. Stramaglia , Guo-Rong Wu , M. Pellicoro , D. Marinazzo

Most of the metrics used for detecting a causal relationship among multiple time series ignore the effects of practical measurement impairments, such as finite sample effects, undersampling and measurement noise. It has been shown that…

统计方法学 · 统计学 2023-04-03 Rahul Devendra , Ribhu Chopra , Kumar Appaiah

This paper proposes an approach facilitating co-design of causal graphs between subject matter experts and statistical modellers. Modern causal analysis starting with formulation of causal graphs provides benefits for robust analysis and…

统计方法学 · 统计学 2025-05-02 Eli Y. Kling

Complex networked systems can be modeled and represented as graphs, with nodes representing the agents and the links describing the dynamic coupling between them. The fundamental objective of network identification for dynamic systems is to…

系统与控制 · 电气工程与系统科学 2020-06-09 Venkat Ram Subramanian , Andrew Lamperski , Murti V. Salapaka

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

统计方法学 · 统计学 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

数据分析、统计与概率 · 物理学 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

统计方法学 · 统计学 2024-02-14 David Strieder , Mathias Drton

Explaining underlying causes or effects about events is a challenging but valuable task. We define a novel problem of generating explanations of a time series event by (1) searching cause and effect relationships of the time series with…

计算与语言 · 计算机科学 2018-04-26 Dongyeop Kang , Varun Gangal , Ang Lu , Zheng Chen , Eduard Hovy

The present study explores the intricacies of causal relationship extraction, a vital component in the pursuit of causality knowledge. Causality is frequently intertwined with temporal elements, as the progression from cause to effect is…

计算与语言 · 计算机科学 2023-04-24 Xiaosong Yuan , Ke Chen , Wanli Zuo , Yijia Zhang