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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

Abstractions of causal models allow for the coarsening of models such that relations of cause and effect are preserved. Whereas abstractions focus on the relation between two models, in this paper we study a framework for causal embeddings…

Artificial Intelligence · Computer Science 2026-03-02 Willem Schooltink , Fabio Massimo Zennaro

*Concept-based explanations* offer a promising approach for explaining the predictions of deep neural networks in terms of high-level, human-understandable concepts. However, existing methods either do not establish a causal connection…

Machine Learning · Computer Science 2026-05-08 Ronaldo Canizales , Divya Gopinath , Corina Păsăreanu , Ravi Mangal

Causal abstractions allow us to relate causal models on different levels of granularity. To ensure that the models agree on cause and effect, frameworks for causal abstractions define notions of consistency. Two distinct methods for causal…

Artificial Intelligence · Computer Science 2025-03-17 Willem Schooltink , Fabio Massimo Zennaro

Structural analysis methods (e.g., probing and feature attribution) are increasingly important tools for neural network analysis. We propose a new structural analysis method grounded in a formal theory of causal abstraction that provides…

Artificial Intelligence · Computer Science 2021-10-28 Atticus Geiger , Hanson Lu , Thomas Icard , Christopher Potts

At its core, abstraction is the process of generalizing from specific instances to broader concepts or models, with the primary objective of reducing complexity while preserving properties essential to the intended purpose. It is…

Logic in Computer Science · Computer Science 2026-01-06 Andrzej Szalas

Causality plays an important role in understanding intelligent behavior, and there is a wealth of literature on mathematical models for causality, most of which is focused on causal graphs. Causal graphs are a powerful tool for a wide range…

Artificial Intelligence · Computer Science 2024-12-23 Scott Garrabrant , Matthias Georg Mayer , Magdalena Wache , Leon Lang , Sam Eisenstat , Holger Dell

Causal representation learning (CRL) enhances machine learning models' robustness and generalizability by learning structural causal models associated with data-generating processes. We focus on a family of CRL methods that uses contrastive…

Machine Learning · Statistics 2025-03-17 Xiusi Li , Sékou-Oumar Kaba , Siamak Ravanbakhsh

Neural networks are hypothesized to implement interpretable causal mechanisms, yet verifying this requires finding a causal abstraction -- a simpler, high-level Structural Causal Model (SCM) faithful to the network under interventions.…

Machine Learning · Computer Science 2026-03-02 Amir Asiaee

Sequential decision making techniques hold great promise to improve the performance of many real-world systems, but computational complexity hampers their principled application. Influence-based abstraction aims to gain leverage by modeling…

Artificial Intelligence · Computer Science 2021-02-24 Elena Congeduti , Alexander Mey , Frans A. Oliehoek

This note illustrates how a variety of causal abstraction arXiv:1707.00819 arXiv:1812.03789, defined here as causal abstractive simulation, can be used to formalize a simple example of language model simulation. This note considers the case…

Artificial Intelligence · Computer Science 2025-09-03 Gabriel Simmons

According to a mainstream position in contemporary cognitive science and philosophy, the use of abstract compositional concepts is both a necessary and a sufficient condition for the presence of genuine thought. In this article, we show how…

Machine Learning · Computer Science 2019-10-17 Katja Ried , Benjamin Eva , Thomas Müller , Hans J. Briegel

Causal representation learning aims at identifying high-level causal variables from perceptual data. Most methods assume that all latent causal variables are captured in the high-dimensional observations. We instead consider a partially…

Learning high-level causal representations together with a causal model from unstructured low-level data such as pixels is impossible from observational data alone. We prove under mild assumptions that this representation is however…

Machine Learning · Statistics 2022-10-12 Johann Brehmer , Pim de Haan , Phillip Lippe , Taco Cohen

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

Recent years have seen a surge of interest in learning high-level causal representations from low-level image pairs under interventions. Yet, existing efforts are largely limited to simple synthetic settings that are far away from…

Machine Learning · Computer Science 2023-04-04 Yuejiang Liu , Alexandre Alahi , Chris Russell , Max Horn , Dominik Zietlow , Bernhard Schölkopf , Francesco Locatello

Large language models have recently shown promising progress in mathematical reasoning when fine-tuned with human-generated sequences walking through a sequence of solution steps. However, the solution sequences are not formally structured…

Machine Learning · Computer Science 2022-12-07 Andrew J. Nam , Mengye Ren , Chelsea Finn , James L. McClelland

Causal induction, i.e., identifying unobservable mechanisms that lead to the observable relations among variables, has played a pivotal role in modern scientific discovery, especially in scenarios with only sparse and limited data. Humans,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Chi Zhang , Baoxiong Jia , Mark Edmonds , Song-Chun Zhu , Yixin Zhu

We present a method for diagnosing interpretation in neural networks by identifying an input subspace where a proposed interpretation is highly faithful. Our method is particularly useful for causal-abstraction-style interpretability, where…

Artificial Intelligence · Computer Science 2026-05-05 Li Puyin , Jiyuan Tan , Ahmad Jabbar , Thomas Icard , Atticus Geiger

There exist well-developed frameworks for causal modelling, but these require rather a lot of human domain expertise to define causal variables and perform interventions. In order to enable autonomous agents to learn abstract causal models…

Artificial Intelligence · Computer Science 2022-08-15 Taco Cohen