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Though the topic of causal inference is typically considered in the context of classical statistical models, recent years have seen great interest in extending causal inference techniques to quantum and generalized theories. Causal…

Logic in Computer Science · Computer Science 2023-11-16 Isaac Friend , Aleks Kissinger

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

Causal inference plays an important role in explanatory analysis and decision making across various fields like statistics, marketing, health care, and education. Its main task is to estimate treatment effects and make intervention…

Methodology · Statistics 2024-07-22 Yingrong Wang , Haoxuan Li , Minqin Zhu , Anpeng Wu , Ruoxuan Xiong , Fei Wu , Kun Kuang

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

In this paper we study the problem of making predictions using multiple structural casual models defined by different agents, under the constraint that the prediction satisfies the criterion of counterfactual fairness. Relying on the…

Artificial Intelligence · Computer Science 2021-05-25 Fabio Massimo Zennaro , Magdalena Ivanovska

We propose a new attribution method for neural networks developed using first principles of causality (to the best of our knowledge, the first such). The neural network architecture is viewed as a Structural Causal Model, and a methodology…

Machine Learning · Computer Science 2019-07-04 Aditya Chattopadhyay , Piyushi Manupriya , Anirban Sarkar , Vineeth N Balasubramanian

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

Methodology · Statistics 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

Higher educational institutions constantly look for ways to meet students' needs and support them through graduation. Recent work in the field of learning analytics have developed methods for grade prediction and course recommendations.…

Applications · Statistics 2019-06-12 Prableen Kaur , Agoritsa Polyzou , George Karypis

Interventional causal models describe several joint distributions over some variables used to describe a system, one for each intervention setting. They provide a formal recipe for how to move between the different joint distributions and…

Machine Learning · Statistics 2021-08-06 Eigil F. Rischel , Sebastian Weichwald

We introduce an approach to counterfactual inference based on merging information from multiple datasets. We consider a causal reformulation of the statistical marginal problem: given a collection of marginal structural causal models (SCMs)…

Artificial Intelligence · Computer Science 2022-07-18 Luigi Gresele , Julius von Kügelgen , Jonas M. Kübler , Elke Kirschbaum , Bernhard Schölkopf , Dominik Janzing

The interpretability of prediction mechanisms with respect to the underlying prediction problem is often unclear. While several studies have focused on developing prediction models with meaningful parameters, the causal relationships…

Machine Learning · Statistics 2017-09-05 Patrick Blöbaum , Shohei Shimizu

Understanding the laws that govern a phenomenon is the core of scientific progress. This is especially true when the goal is to model the interplay between different aspects in a causal fashion. Indeed, causal inference itself is…

Artificial Intelligence · Computer Science 2025-08-27 Alessio Zanga , Elif Ozkirimli , Fabio Stella

Causal discovery, the task of automatically constructing a causal model from data, is of major significance across the sciences. Evaluating the performance of causal discovery algorithms should ideally involve comparing the inferred models…

Artificial Intelligence · Computer Science 2021-08-26 Maxime Peyrard , Robert West

Statistical science (as opposed to mathematical statistics) involves far more than probability theory, for it requires realistic causal models of data generators - even for purely descriptive goals. Statistical decision theory requires more…

Other Statistics · Statistics 2022-06-02 Sander Greenland

We introduce a causal modeling framework that captures the input-output behavior of predictive models (e.g., machine learning models). The framework enables us to identify features that directly cause the predictions, which has broad…

Machine Learning · Computer Science 2025-05-20 Yizuo Chen , Amit Bhatia

Causality can be described in terms of a structural causal model (SCM) that carries information on the variables of interest and their mechanistic relations. For most processes of interest the underlying SCM will only be partially…

Machine Learning · Computer Science 2021-10-26 Matej Zečević , Devendra Singh Dhami , Petar Veličković , Kristian Kersting

In this paper we review important aspects of semiparametric theory and empirical processes that arise in causal inference problems. We begin with a brief introduction to the general problem of causal inference, and go on to discuss…

Statistics Theory · Mathematics 2016-07-25 Edward H. Kennedy

To discover new drugs is to seek and to prove causality. As an emerging approach leveraging human knowledge and creativity, data, and machine intelligence, causal inference holds the promise of reducing cognitive bias and improving decision…

Quantitative Methods · Quantitative Biology 2025-04-09 Tom Michoel , Jitao David Zhang

Prediction invariance of causal models under heterogeneous settings has been exploited by a number of recent methods for causal discovery, typically focussing on recovering the causal parents of a target variable of interest. Existing…

Methodology · Statistics 2026-03-10 Alice Polinelli , Veronica Vinciotti , Ernst C. Wit

Specifying data requirements for machine learning (ML) software systems remains a challenge in requirements engineering (RE). This vision paper explores causal modelling as an RE activity that allows the systematic integration of prior…

Software Engineering · Computer Science 2025-04-24 Hans-Martin Heyn , Yufei Mao , Roland Weiss , Eric Knauss
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