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We propose a new definition of actual cause, using structural equations to model counterfactuals. We show that the definition yields a plausible and elegant account of causation that handles well examples which have caused problems for…

Artificial Intelligence · Computer Science 2007-05-23 Joseph Y. Halpern , Judea Pearl

Contemporary machine learning optimizes for predictive accuracy, yet systems that achieve state of the art performance remain causally opaque: their internal representations provide no principled handle for intervention. We can retrain such…

Artificial Intelligence · Computer Science 2025-10-28 Marcus Thomas

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 probabilistic model describes a system in its observational state. In many situations, however, we are interested in the system's response under interventions. The class of structural causal models provides a language that allows us to…

Methodology · Statistics 2020-01-20 Jonas Peters , Stefan Bauer , Niklas Pfister

Automatic extraction of cause-effect relationships from natural language texts is a challenging open problem in Artificial Intelligence. Most of the early attempts at its solution used manually constructed linguistic and syntactic rules on…

Artificial Intelligence · Computer Science 2016-05-26 Nabiha Asghar

Event Structures (ESs) address the representation of direct relationships between individual events, usually capturing the notions of causality and conflict. Up to now, such relationships have been static, i.e., they cannot change during a…

Logic in Computer Science · Computer Science 2023-06-22 Youssef Arbach , David S. Karcher , Kirstin Peters , Uwe Nestmann

Structural-equations models (SEMs) are perhaps the most commonly used framework for modeling causality. However, as we show, naively extending this framework to infinitely many variables, which is necessary, for example, to model dynamical…

Artificial Intelligence · Computer Science 2021-12-20 Spencer Peters , Joseph Y. Halpern

Large proprietary language models exhibit strong causal reasoning abilities that smaller open-source models struggle to replicate. We introduce a novel framework for distilling causal explanations that transfers causal reasoning skills from…

Computation and Language · Computer Science 2025-05-27 Aggrey Muhebwa , Khalid K. Osman

Currently, machine learning is widely used across various domains, including time series data analysis. However, some machine learning models function as black boxes, making interpretability a critical concern. One approach to address this…

Machine Learning · Computer Science 2025-12-01 Keita Kinjo

Causality visualization can help people understand temporal chains of events, such as messages sent in a distributed system, cause and effect in a historical conflict, or the interplay between political actors over time. However, as the…

Computation and Language · Computer Science 2020-09-08 Arjun Choudhry , Mandar Sharma , Pramod Chundury , Thomas Kapler , Derek W. S. Gray , Naren Ramakrishnan , Niklas Elmqvist

Causal reasoning provides a language to ask important interventional and counterfactual questions beyond purely statistical association. In medical imaging, for example, we may want to study the causal effect of genetic, environmental, or…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Rajat Rasal , Daniel C. Castro , Nick Pawlowski , Ben Glocker

Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

Causal reasoning is a crucial part of science and human intelligence. In order to discover causal relationships from data, we need structure discovery methods. We provide a review of background theory and a survey of methods for structure…

Machine Learning · Computer Science 2021-03-05 Matthew J. Vowels , Necati Cihan Camgoz , Richard Bowden

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Causal reasoning and game-theoretic reasoning are fundamental topics in artificial intelligence, among many other disciplines: this paper is concerned with their intersection. Despite their importance, a formal framework that supports both…

Artificial Intelligence · Computer Science 2023-04-18 Lewis Hammond , James Fox , Tom Everitt , Ryan Carey , Alessandro Abate , Michael Wooldridge

Inferring the abstract relational and causal structure of the world is a major challenge for reinforcement-learning (RL) agents. For humans, language--particularly in the form of explanations--plays a considerable role in overcoming this…

Prompt optimization automatically refines prompting expressions, unlocking the full potential of LLMs in downstream tasks. However, current prompt optimization methods are costly to train and lack sufficient interpretability. This paper…

Computation and Language · Computer Science 2024-12-23 Yajing Wang , Zongwei Luo , Jingzhe Wang , Zhanke Zhou , Yongqiang Chen , Bo Han

We address causal reasoning in multivariate time series data generated by stochastic processes. Existing approaches are largely restricted to static settings, ignoring the continuity and emission of variations across time. In contrast, we…

Machine Learning · Computer Science 2024-02-29 Mehdi Fatemi , Sindhu Gowda

Explainability plays an increasingly important role in machine learning. Furthermore, humans view the world through a causal lens and thus prefer causal explanations over associational ones. Therefore, in this paper, we develop a causal…

Artificial Intelligence · Computer Science 2023-07-04 Xiaoxiao Wang , Fanyu Meng , Xin Liu , Zhaodan Kong , Xin Chen

Three distinct phenomena complicate statistical causal analysis: latent common causes, causal cycles, and latent selection. Foundational works on Structural Causal Models (SCMs), e.g., Bongers et al. (2021, Ann. Stat., 49(5): 2885-2915),…

Methodology · Statistics 2025-11-23 Leihao Chen , Onno Zoeter , Joris M. Mooij