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The potential system is a nonparametric time series model for assessing the causal impact of moving an assignment at time $t$ on an outcome at future time $t+h$, accounting for the presence of features. The potential system provides…

计量经济学 · 经济学 2026-03-24 Jacob Carlson , Neil Shephard

This paper analyzes the notion of causality in a conceptual model, mainly as applied in software engineering. Conceptual system modeling can be considered a three-level process that begins with building a static structural description to…

软件工程 · 计算机科学 2020-05-07 Sabah Al-Fedaghi

This paper proposes a formal framework for modeling the interaction of causal and (qualitative) epistemic reasoning. To this purpose, we extend the notion of a causal model with a representation of the epistemic state of an agent. On the…

人工智能 · 计算机科学 2020-11-02 Fausto Barbero , Katrin Schulz , Sonja Smets , Fernando R. Velázquez-Quesada , Kaibo Xie

We present a comprehensive language theoretic causality analysis framework for explaining safety property violations in the setting of concurrent reactive systems. Our framework allows us to uniformly express a number of causality notions…

形式语言与自动机理论 · 计算机科学 2019-01-04 Rayna Dimitrova , Rupak Majumdar , Vinayak S. Prabhu

Causal discovery problems use a set of observations to deduce causality between variables in the real world, typically to answer questions about biological or physical systems. These observations are often recorded at regular time…

信号处理 · 电气工程与系统科学 2026-02-24 Kurt Butler , Damian Machlanski , Panagiotis Dimitrakopoulos , Sotirios A. Tsaftaris

An algebraic framework for the investigation of linear dynamic output feedback is introduced. Pivotal in the present theory is the problem of causal factorization, i.e. the problem of factoring two systems over each other through a causal…

系统与控制 · 电气工程与系统科学 2020-06-04 Jacob Hammer , Michael Hymann

This work considers stochastic operators in general inner-product spaces, and in particular, systems with stochastically time-varying input delays of a known probability distribution. Stochastic dissipativity and stability are defined from…

最优化与控制 · 数学 2024-04-22 Ethan LoCicero , Amy Strong , Leila Bridgeman

Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

统计方法学 · 统计学 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

动力系统 · 数学 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

In this note we provide examples that show that a common notion of causality for linear operators on Banach spaces does not carry over to the closure of the respective operators. We provide an alternative definition for causality, which is…

泛函分析 · 数学 2014-03-11 Marcus Waurick

Root-cause analysis in controlled time dependent systems poses a major challenge in applications. Especially energy systems are difficult to handle as they exhibit instantaneous as well as delayed effects and if equipped with storage, do…

机器学习 · 统计学 2026-02-05 Philipp Alexander Schwarz , Johannes Oberpriller , Sven Klaassen

This paper discusses some links properties of operators with the well- known physical concepts of hyperstability, passivity, energy dissipativeness and conservativeness with positive realness properties of the transfer functions in linear…

动力系统 · 数学 2008-03-27 M. De la Sen

we study the hypercyclic and chaotic properties of the time varying weighted backward shift operator $(Tx)(t)=w(t)x(t+a)$ in $L_p(0,\infty)(1\leq p<\infty)$ and $C_0[0,\infty)$. And we also analyse the spectral structure of the operators if…

泛函分析 · 数学 2023-03-14 Jing Hou , Yonglu Shu

The evolution of the expectation values of one and two points scalar field operators and of positive localization operators, generated by an istantaneous point source is non local. Non locality is attributed either to zero point vacuum…

量子物理 · 物理学 2009-11-10 F. Buscemi , G. Compagno

Time lags are ubiquitous in biophysiological processes and more generally in real-world complex networks. It has been recently proposed to use information-theoretic tools such as transfer entropy to detect and estimate a possible delay in…

统计力学 · 物理学 2018-10-03 M. L. Rosinberg , G. Tarjus , T. Munakata

Causal reversibility blends reversibility and causality for concurrent systems. It indicates that an action can be undone provided that all of its consequences have been undone already, thus making it possible to bring the system back to a…

计算机科学中的逻辑 · 计算机科学 2024-02-14 Marco Bernardo , Claudio A. Mezzina

Granger causality is a fundamental technique for causal inference in time series data, commonly used in the social and biological sciences. Typical operationalizations of Granger causality make a strong assumption that every time point of…

机器学习 · 计算机科学 2020-11-23 Chainarong Amornbunchornvej , Elena Zheleva , Tanya Y. Berger-Wolf

Using symmetric boundary conditions at separated times, I show analytically that both the time ordering of (macroscopic) causality and the direction of entropy increase follow from these boundary conditions. In particular, when the…

统计力学 · 物理学 2007-05-23 L. S. Schulman

This paper continues the study of [11, 13] for stationary solutions of stochastic linear retarded functional differential equations with the emphasis on delays which appear in those terms including spatial partial derivatives. As a…

概率论 · 数学 2014-02-11 Kai Liu

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is…

混沌动力学 · 物理学 2015-05-13 G. Ambika , R. E. Amritkar