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Identifying ``true causality'' is a fundamental challenge in complex systems research. Widely adopted methods, like the Granger causality test, capture statistical dependencies between variables rather than genuine driver-response…

最优化与控制 · 数学 2025-05-05 Yingzhu Liu , Shengyuan Huang , Zhongkui Li , Xiaoguang Yang , Wenjun Mei

Identifying causal relations among simultaneously acquired signals is an important problem in multivariate time series analysis. For linear stochastic systems Granger proposed a simple procedure called the Granger causality to detect such…

混沌动力学 · 物理学 2009-11-10 Yonghong Chen , Govindan Rangarajan , Jianfeng Feng , Mingzhou Ding

Surgical team performance arises from complex interactions between technical execution and non-technical skills, including communication and coordination dynamics. However, current surgical AI systems predominantly model visual workflow…

人工智能 · 计算机科学 2026-05-07 Vincenzo Marco De Luca , Antonio Longa , Giovanna Varni , Andrea Passerini

Understanding causal relationships in time series is fundamental to many domains, including neuroscience, economics, and behavioral science. Granger causality is one of the well-known techniques for inferring causality in time series.…

人工智能 · 计算机科学 2025-08-04 Chakattrai Sookkongwaree , Tattep Lakmuang , Chainarong Amornbunchornvej

We describe a new framework for causal inference and its application to return time series. In this system, causal relationships are represented as logical formulas, allowing us to test arbitrarily complex hypotheses in a computationally…

统计金融 · 定量金融 2010-06-14 Samantha Kleinberg , Petter N. Kolm , Bud Mishra

This paper presents a method to identify causal interactions between two time series. The largest eigenvalue follows a Tracy-Widom distribution, derived from a Coulomb gas model. This defines causal interactions as the pushing and pulling…

投资组合管理 · 定量金融 2025-11-19 Alejandro Rodriguez Dominguez , Om Hari Yadav

Granger causality has been employed to investigate causality relations between components of stationary multiple time series. We generalize this concept by developing statistical inference for local Granger causality for multivariate…

统计方法学 · 统计学 2025-08-12 Yan Liu , Masanobu Taniguchi , Hernando Ombao

Granger causality, commonly used for inferring causal structures from time series data, has been adopted in widespread applications across various fields due to its intuitive explainability and high compatibility with emerging deep neural…

机器学习 · 计算机科学 2024-06-18 Ziyi Zhang , Shaogang Ren , Xiaoning Qian , Nick Duffield

Existing models for the analysis of concurrent processes tend to focus on fail-stop failures, where processes are either working or permanently stopped, and their state (working/stopped) is known. In fact, systems are often affected by grey…

形式语言与自动机理论 · 计算机科学 2024-02-14 Laura Bocchi , Julien Lange , Simon Thompson , A. Laura Voinea

Granger causality has been used for the investigation of the inter-dependence structure of the underlying systems of multi-variate time series. In particular, the direct causal effects are commonly estimated by the conditional Granger…

统计方法学 · 统计学 2016-04-20 Elsa Siggiridou , Dimitris Kugiumtzis

Human nonverbal emotional communication in dyadic dialogs is a process of mutual influence and adaptation. Identifying the direction of influence, or cause-effect relation between participants is a challenging task, due to two main…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Lea Müller , Maha Shadaydeh , Martin Thümmel , Thomas Kessler , Dana Schneider , Joachim Denzler

User modeling plays an important role in delivering customized web services to the users and improving their engagement. However, most user models in the literature do not explicitly consider the temporal behavior of users. More recently,…

社会与信息网络 · 计算机科学 2017-02-08 Ali Khodadadi , Seyed Abbas Hosseini , Erfan Tavakoli , Hamid R. Rabiee

Learning Granger causality for general point processes is a very challenging task. In this paper, we propose an effective method, learning Granger causality, for a special but significant type of point processes --- Hawkes process. We…

机器学习 · 计算机科学 2016-06-14 Hongteng Xu , Mehrdad Farajtabar , Hongyuan Zha

Components of biological systems interact with each other in order to carry out vital cell functions. Such information can be used to improve estimation and inference, and to obtain better insights into the underlying cellular mechanisms.…

机器学习 · 统计学 2010-07-06 Ali Shojaie , George Michailidis

In the study of complex physical and biological systems represented by multivariate stochastic processes, an issue of great relevance is the description of the system dynamics spanning multiple temporal scales. While methods to assess the…

统计方法学 · 统计学 2017-11-01 Luca Faes , Giandomenico Nollo , Sebastiano Stramaglia , Daniele Marinazzo

Coupled dynamical systems are frequently observed in nature, but often not well understood in terms of their causal structure without additional domain knowledge about the system. Especially when analyzing observational time series data of…

机器学习 · 统计学 2021-10-26 Will Glad , Thomas Woolf

Process mining has gained traction over the past decade and an impressive body of research has resulted in the introduction of a variety of process mining approaches measuring process performance. Having this set of techniques available,…

性能 · 计算机科学 2018-04-12 Fredrik Milani , Fabrizio M. Maggi

In multivariate time series systems, lead-lag relationships reveal dependencies between time series when they are shifted in time relative to each other. Uncovering such relationships is valuable in downstream tasks, such as control,…

统计金融 · 定量金融 2023-09-19 Yichi Zhang , Mihai Cucuringu , Alexander Y. Shestopaloff , Stefan Zohren

We introduce a rigorous mathematical framework for Granger causality in extremes, designed to identify causal links from extreme events in time series. Granger causality plays a pivotal role in uncovering directional relationships among…

机器学习 · 统计学 2024-10-21 Juraj Bodik , Olivier C. Pasche

Longitudinal analysis is important in many disciplines, such as the study of behavioral transitions in social science. Only very recently, feature selection has drawn adequate attention in the context of longitudinal modeling. Standard…

统计方法学 · 统计学 2016-10-26 Tingyang Xu , Jiangwen Sun , Jinbo Bi