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Although deep learning models have been successfully applied to a variety of tasks, due to the millions of parameters, they are becoming increasingly opaque and complex. In order to establish trust for their widespread commercial use, it is…

Machine Learning · Computer Science 2018-11-13 Tanmayee Narendra , Anush Sankaran , Deepak Vijaykeerthy , Senthil Mani

Structural causal models (SCMs) allow us to investigate complex systems at multiple levels of resolution. The causal abstraction (CA) framework formalizes the mapping between high- and low-level SCMs. We address CA learning in a challenging…

Machine Learning · Computer Science 2025-06-03 Gabriele D'Acunto , Fabio Massimo Zennaro , Yorgos Felekis , Paolo Di Lorenzo

Causal discovery aims to extract qualitative causal knowledge in the form of causal graphs from data. Because causal ground truth is rarely known in the real world, simulated data plays a vital role in evaluating the performance of the…

Machine Learning · Computer Science 2025-12-17 Rebecca J. Herman , Jonas Wahl , Urmi Ninad , Jakob Runge

Structural Causal Models (SCMs) provide a popular causal modeling framework. In this work, we show that SCMs are not flexible enough to give a complete causal representation of dynamical systems at equilibrium. Instead, we propose a…

Artificial Intelligence · Computer Science 2019-08-07 Tineke Blom , Stephan Bongers , Joris M. Mooij

Causal artificial intelligence aims to enhance explainability, trustworthiness, and robustness in AI by leveraging structural causal models (SCMs). In this pursuit, recent advances formalize network sheaves and cosheaves of causal…

Machine Learning · Computer Science 2026-02-04 Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

In this work, we present sequence-driven structural causal models (SD-SCMs), a framework for specifying causal models with user-defined structure and language-model-defined mechanisms. We characterize how an SD-SCM enables sampling from…

Computation and Language · Computer Science 2025-09-24 Lucius E. J. Bynum , Kyunghyun Cho

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

Methodology · Statistics 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

Much of our experiments are designed to uncover the cause(s) and effect(s) behind a data generating mechanism (i.e., phenomenon) we happen to be interested in. Uncovering such relationships allows us to identify the true working of a…

Machine Learning · Computer Science 2023-07-11 M. Z. Naser

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Recent progress in Neural Causal Models (NCMs) showcased how identification and partial identification of causal effects can be automatically carried out via training of neural generative models that respect the constraints encoded in a…

Machine Learning · Computer Science 2025-06-17 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

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

Causal Machine Learning (CausalML) is an umbrella term for machine learning methods that formalize the data-generation process as a structural causal model (SCM). This perspective enables us to reason about the effects of changes to this…

Machine Learning · Computer Science 2026-05-28 Jean Kaddour , Aengus Lynch , Qi Liu , Matt J. Kusner , Ricardo Silva

While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

Neurons and Cognition · Quantitative Biology 2021-04-12 Sebastian Weichwald , Jonas Peters

Estimating causal effects from observational data remains a fundamental challenge in causal inference, especially in the presence of latent confounders. This paper focuses on estimating causal effects in Gaussian Linear Structural Causal…

Machine Learning · Computer Science 2026-01-09 Aurghya Maiti , Prateek Jain

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

We propose Universal Causality, an overarching framework based on category theory that defines the universal property that underlies causal inference independent of the underlying representational formalism used. More formally, universal…

Artificial Intelligence · Computer Science 2022-07-08 Sridhar Mahadevan

Structural causal models (SCMs) provide a principled approach to identifying causation from observational and experimental data in disciplines ranging from economics to medicine. However, SCMs, which is typically represented as graphical…

Heterogeneous graph neural networks have become popular in various domains. However, their generalizability and interpretability are limited due to the discrepancy between their inherent inference flows and human reasoning logic or…

Machine Learning · Computer Science 2023-12-12 Tianqianjin Lin , Kaisong Song , Zhuoren Jiang , Yangyang Kang , Weikang Yuan , Xurui Li , Changlong Sun , Cui Huang , Xiaozhong Liu

Structural causal models (SCMs) are a widespread formalism to deal with causal systems. A recent direction of research has considered the problem of relating formally SCMs at different levels of abstraction, by defining maps between SCMs…

Artificial Intelligence · Computer Science 2022-07-19 Fabio Massimo Zennaro

Synthetic datasets generated by structural causal models (SCMs) are commonly used for benchmarking causal structure learning algorithms. However, the variances and pairwise correlations in SCM data tend to increase along the causal…

Machine Learning · Computer Science 2025-03-18 Weronika Ormaniec , Scott Sussex , Lars Lorch , Bernhard Schölkopf , Andreas Krause