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Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

Causal inference concerns the identification of cause-effect relationships between variables. However, often only linear combinations of variables constitute meaningful causal variables. For example, recovering the signal of a cortical…

Multivariate time series in domains such as finance, climate science, and healthcare often exhibit long-term trends, seasonal patterns, and short-term fluctuations, complicating causal inference under non-stationarity and autocorrelation.…

Machine Learning · Computer Science 2026-04-29 Muhammad Hasan Ferdous , Md Osman Gani

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

A critical task in systems biology is the identification of genes that interact to control cellular processes by transcriptional activation of a set of target genes. Many methods have been developed to use statistical correlations in…

Quantitative Methods · Quantitative Biology 2010-11-24 Adam A. Margolin , Kai Wang , Andrea Califano , Ilya Nemenman

Causal discovery aims to uncover cause-and-effect relationships encoded in causal graphs by leveraging observational, interventional data, or their combination. The majority of existing causal discovery methods are developed assuming…

Machine Learning · Computer Science 2024-06-25 Muhammad Qasim Elahi , Lai Wei , Murat Kocaoglu , Mahsa Ghasemi

Methods to identify cause-effect relationships currently mostly assume the variables to be scalar random variables. However, in many fields the objects of interest are vectors or groups of scalar variables. We present a new constraint-based…

Methodology · Statistics 2022-12-02 Jonas Wahl , Urmi Ninad , Jakob Runge

At the heart of causal structure learning from observational data lies a deceivingly simple question: given two statistically dependent random variables, which one has a causal effect on the other? This is impossible to answer using…

Machine Learning · Computer Science 2020-10-13 Nikolaos Nikolaou , Konstantinos Sechidis

Functional connectome extends the anatomical connectome by capturing the relations between neurons according to their activity and interactions. When these relations are causal, the functional connectome maps how neural activity flows…

Neurons and Cognition · Quantitative Biology 2020-11-10 Rahul Biswas , Eli Shlizerman

Causal discovery is challenging in general dynamical systems because, without strong structural assumptions, the underlying causal graph may not be identifiable even from interventional data. However, many real-world systems exhibit…

Machine Learning · Computer Science 2026-04-07 Panayiotis Panayiotou , Özgür Şimşek

Convergent Cross Mapping (CCM) is a powerful method for detecting causality in coupled nonlinear dynamical systems, providing a model-free approach to capture dynamic causal interactions. Partial Cross Mapping (PCM) was introduced as an…

Machine Learning · Computer Science 2025-02-07 Elise Zhang , François Mirallès , Raphaël Rousseau-Rizzi , Arnaud Zinflou , Di Wu , Benoit Boulet

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

Temporal data, representing chronological observations of complex systems, has always been a typical data structure that can be widely generated by many domains, such as industry, medicine and finance. Analyzing this type of data is…

Machine Learning · Computer Science 2023-08-04 Chang Gong , Di Yao , Chuzhe Zhang , Wenbin Li , Jingping Bi

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…

Software Engineering · Computer Science 2020-05-07 Sabah Al-Fedaghi

Recently, time series classification has attracted the attention of a large number of researchers, and hundreds of methods have been proposed. However, these methods often ignore the spatial correlations among dimensions and the local…

Machine Learning · Computer Science 2024-11-28 Mingsen Du , Yanxuan Wei , Xiangwei Zheng , Cun Ji

Causal discovery from observational data is challenging, especially with large datasets and complex relationships. Traditional methods often struggle with scalability and capturing global structural information. To overcome these…

Machine Learning · Computer Science 2025-07-29 Rezaur Rashid , Gabriel Terejanu

Complex data usually results from the interaction of objects produced by different generating mechanisms. Here we introduce a universal, unsupervised and parameter-free model-oriented approach, based upon the seminal concept of algorithmic…

Artificial Intelligence · Computer Science 2018-09-14 Hector Zenil , Narsis A. Kiani , Allan A. Zea , Jesper Tegnér

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

We propose a straightforward extension of symbolic transfer entropy to enable the investigation of delayed directional relationships between coupled dynamical systems from time series. Analyzing time series from chaotic model systems, we…

Neurons and Cognition · Quantitative Biology 2016-10-10 Henning Dickten , Klaus Lehnertz

We consider the problem of learning causal models from observational data generated by linear non-Gaussian acyclic causal models with latent variables. Without considering the effect of latent variables, one usually infers wrong causal…

Machine Learning · Computer Science 2019-08-13 Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash , Kun Zhang