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We develop a mathematical and interpretative foundation for the enterprise of decision-theoretic statistical causality (DT), which is a straightforward way of representing and addressing causal questions. DT reframes causal inference as…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid

Statistical learning relies upon data sampled from a distribution, and we usually do not care what actually generated it in the first place. From the point of view of causal modeling, the structure of each distribution is induced by…

Machine Learning · Computer Science 2018-09-11 Giambattista Parascandolo , Niki Kilbertus , Mateo Rojas-Carulla , Bernhard Schölkopf

Multivariate Hawkes process provides a powerful framework for modeling temporal dependencies and event-driven interactions in complex systems. While existing methods primarily focus on uncovering causal structures among observed…

Machine Learning · Computer Science 2026-03-03 Songyao Jin , Biwei Huang

Methods of causal discovery aim to identify causal structures in a data driven way. Existing algorithms are known to be unstable and sensitive to statistical errors, and are therefore rarely used with biomedical or epidemiological data. We…

Methodology · Statistics 2024-07-01 Christine W Bang , Janine Witte , Ronja Foraita , Vanessa Didelez

Score-based causal discovery methods can effectively identify causal relationships by evaluating candidate graphs and selecting the one with the highest score. One popular class of scores is kernel-based generalized score functions, which…

Machine Learning · Computer Science 2025-06-10 Yixin Ren , Haocheng Zhang , Yewei Xia , Hao Zhang , Jihong Guan , Shuigeng Zhou

Synthetic tabular data generation addresses data scarcity and privacy constraints in a variety of domains. Tabular Prior-Data Fitted Network (TabPFN), a recent foundation model for tabular data, has been shown capable of generating…

Machine Learning · Computer Science 2026-03-12 Davide Tugnoli , Andrea De Lorenzo , Marco Virgolin , Giovanni Cinà

Causal representation learning is the task of identifying the underlying causal variables and their relations from high-dimensional observations, such as images. Recent work has shown that one can reconstruct the causal variables from…

Machine Learning · Computer Science 2023-03-09 Phillip Lippe , Sara Magliacane , Sindy Löwe , Yuki M. Asano , Taco Cohen , Efstratios Gavves

We introduce a novel framework for temporal causal discovery and inference that addresses two key challenges: complex nonlinear dependencies and spurious correlations. Our approach employs a multi-layer Transformer-based time-series…

Machine Learning · Computer Science 2025-08-25 Jihua Huang , Yi Yao , Ajay Divakaran

Recently in the field of unsupervised representation learning, strong identifiability results for disentanglement of causally-related latent variables have been established by exploiting certain side information, such as class labels, in…

Machine Learning · Computer Science 2022-10-26 Weiran Yao , Guangyi Chen , Kun Zhang

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

The goal of Causal Discovery is to find automated search methods for learning causal structures from observational data. In some cases all variables of the interested causal mechanism are measured, and the task is to predict the effects one…

Machine Learning · Statistics 2024-01-11 Shuyan Wang

Our goal is to recover time-delayed latent causal variables and identify their relations from measured temporal data. Estimating causally-related latent variables from observations is particularly challenging as the latent variables are not…

Machine Learning · Statistics 2022-02-10 Weiran Yao , Yuewen Sun , Alex Ho , Changyin Sun , Kun Zhang

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

Dynamical Systems · Mathematics 2026-04-07 Stefano Galatolo , Valerio Lucarini

Learning the causes of time-series data is a fundamental task in many applications, spanning from finance to earth sciences or bio-medical applications. Common approaches for this task are based on vector auto-regression, and they do not…

Machine Learning · Computer Science 2025-09-30 Emmanouil Angelis , Francesco Quinzan , Ashkan Soleymani , Patrick Jaillet , Stefan Bauer

The problem of learning structural equation models (SEMs) from data is a fundamental problem in causal inference. We develop a new algorithm --- which is computationally and statistically efficient and works in the high-dimensional regime…

Machine Learning · Computer Science 2019-01-30 Asish Ghoshal , Jean Honorio

Identification theory for causal effects in causal models associated with hidden variable directed acyclic graphs (DAGs) is well studied. However, the corresponding algorithms are underused due to the complexity of estimating the…

Machine Learning · Statistics 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

Causal discovery is at the core of human cognition. It enables us to reason about the environment and make counterfactual predictions about unseen scenarios that can vastly differ from our previous experiences. We consider the task of…

Machine Learning · Computer Science 2020-12-01 Yunzhu Li , Antonio Torralba , Animashree Anandkumar , Dieter Fox , Animesh Garg

To make accurate predictions, understand mechanisms, and design interventions in systems of many variables, we wish to learn causal graphs from large scale data. Unfortunately the space of all possible causal graphs is enormous so scalably…

Machine Learning · Statistics 2024-06-19 Alan Nawzad Amin , Andrew Gordon Wilson

Causal inference is a fundamental research topic for discovering the cause-effect relationships in many disciplines. However, not all algorithms are equally well-suited for a given dataset. For instance, some approaches may only be able to…

Machine Learning · Computer Science 2024-03-11 Zhipeng Ma , Marco Kemmerling , Daniel Buschmann , Chrismarie Enslin , Daniel Lütticke , Robert H. Schmitt

Constraint-based causal discovery methods leverage conditional independence tests to infer causal relationships in a wide variety of applications. Just as the majority of machine learning methods, existing work focuses on studying…

Machine Learning · Statistics 2024-05-27 Siyuan Guo , Viktor Tóth , Bernhard Schölkopf , Ferenc Huszár