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An advanced conceptual validation framework for multimodal multivariate time series defines a multi-level contextual anomaly detection ranging from an univariate context definition, to a multimodal abstract context representation learnt by…

Machine Learning · Computer Science 2020-08-06 Cedric Schockaert

Granger causality is a commonly used method for uncovering information flow and dependencies in a time series. Here we introduce JGC (Jacobian Granger Causality), a neural network-based approach to Granger causality using the Jacobian as a…

Machine Learning · Computer Science 2022-05-20 Suryadi , Yew-Soon Ong , Lock Yue Chew

Learning causality from observational data has received increasing interest across various scientific fields. However, most existing methods assume the absence of latent confounders and restrict the underlying causal graph to be acyclic,…

Methodology · Statistics 2025-11-18 Wei Jin , Lang Lang , Amanda B. Spence , Leah H. Rubin , Yanxun Xu

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

Causal inference from observational data is an ambitious but highly relevant task, with diverse applications ranging from natural to social sciences. Within the scope of nonparametric time series, causal inference defined through…

Methodology · Statistics 2016-12-22 Shu Li , Jan Ernest , Peter Bühlmann

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

Causal discovery aims to recover causal structures or models underlying the observed data. Despite its success in certain domains, most existing methods focus on causal relations between observed variables, while in many scenarios the…

Machine Learning · Computer Science 2020-11-19 Feng Xie , Ruichu Cai , Biwei Huang , Clark Glymour , Zhifeng Hao , Kun Zhang

We study causal discovery from observational data in linear Gaussian systems affected by \emph{mixed latent confounding}, where some unobserved factors act broadly across many variables while others influence only small subsets. This…

Machine Learning · Computer Science 2026-01-01 Amir Asiaee , Samhita Pal , James O'quinn , James P. Long

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

In recent years, many methods have been developed for detecting causal relationships in observational data. Some of them have the potential to tackle large data sets. However, these methods fail to discover a combined cause, i.e. a…

Artificial Intelligence · Computer Science 2015-10-16 Saisai Ma , Jiuyong Li , Lin Liu , Thuc Duy Le

Scientific discovery catalyzes human intellectual advances, driven by the cycle of hypothesis generation, experimental design, evaluation, and assumption refinement. Central to this process is causal inference, uncovering the mechanisms…

Machine Learning · Computer Science 2025-09-26 Ivaxi Sheth , Sahar Abdelnabi , Mario Fritz

Discovering causal relationships from observational data is a challenging task that relies on assumptions connecting statistical quantities to graphical or algebraic causal models. In this work, we focus on widely employed assumptions for…

Methodology · Statistics 2024-03-20 Jonas Wahl , Urmi Ninad , Jakob Runge

The representation of the flow of information between neurons in the brain based on their activity is termed the causal functional connectome. Such representation incorporates the dynamic nature of neuronal activity and causal interactions…

Neurons and Cognition · Quantitative Biology 2022-11-16 Rahul Biswas , Eli Shlizerman

It is commonplace to encounter nonstationary data, of which the underlying generating process may change over time or across domains. The nonstationarity presents both challenges and opportunities for causal discovery. In this paper we…

Artificial Intelligence · Computer Science 2016-06-21 Kun Zhang , Biwei Huang , Jiji Zhang , Bernhard Schölkopf , Clark Glymour

This study integrates causal inference, graph analysis, temporal complexity measures, and machine learning to examine whether individual symptom trajectories can reveal meaningful diagnostic patterns. Testing on a longitudinal dataset of…

Applications · Statistics 2025-07-22 Eleonora Vitanza , Pietro DeLellis , Chiara Mocenni , Manuel Ruiz Marin

Understanding which parts of a dynamical system cause each other is extremely relevant in fundamental and applied sciences. However, inferring causal links from observational data, namely without direct manipulations of the system, is still…

Data Analysis, Statistics and Probability · Physics 2025-06-27 Matteo Allione , Vittorio Del Tatto , Alessandro Laio

Heteroscedasticity -- where the variance of a variable changes with other variables -- is pervasive in real data, and elucidating why it arises from the perspective of statistical moments is crucial in scientific knowledge discovery and…

Machine Learning · Statistics 2026-05-28 Yoichi Chikahara

We introduce a new Collaborative Causal Discovery problem, through which we model a common scenario in which we have multiple independent entities each with their own causal graph, and the goal is to simultaneously learn all these causal…

Machine Learning · Computer Science 2021-06-08 Raghavendra Addanki , Shiva Prasad Kasiviswanathan

We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

Methodology · Statistics 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

Discovering causal structures among latent factors from observed data is a particularly challenging problem. Despite some efforts for this problem, existing methods focus on the single-domain data only. In this paper, we propose…

Machine Learning · Computer Science 2022-04-26 Yan Zeng , Shohei Shimizu , Ruichu Cai , Feng Xie , Michio Yamamoto , Zhifeng Hao