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We study decision-making problems where data comprises points from a collection of binary polytopes, capturing aggregate information stemming from various combinatorial selection environments. We propose a nonparametric approach for…

Optimization and Control · Mathematics 2026-02-24 Yanqiu Ruan , Karthyek Murthy , Karthik Natarajan

Leveraging the development of structural causal model (SCM), researchers can establish graphical models for exploring the causal mechanisms behind machine learning techniques. As the complexity of machine learning applications rises,…

Machine Learning · Computer Science 2024-06-19 Jiangmeng Li , Bin Qin , Qirui Ji , Yi Li , Wenwen Qiang , Jianwen Cao , Fanjiang Xu

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Here we introduce Partially Observed Structural Causal Models (POSCMs) that formalize causal systems where latent contexts co-determine both the interaction structure and downstream mechanisms on observed variables. POSCMs provide an…

Machine Learning · Computer Science 2026-05-06 Turan Orujlu , Jordan Matelsky , Martin V. Butz , Charley M. Wu , Konrad P. Kording

Without loss of generality, existing machine learning techniques may learn spurious correlation dependent on the domain, which exacerbates the generalization of models in out-of-distribution (OOD) scenarios. To address this issue, recent…

Machine Learning · Computer Science 2024-06-18 Bin Qin , Jiangmeng Li , Yi Li , Xuesong Wu , Yupeng Wang , Wenwen Qiang , Jianwen Cao

I suggest an enhancement of the procedure of Chiong, Hsieh, and Shum (2017) for calculating bounds on counterfactual demand in semiparametric discrete choice models. Their algorithm relies on a system of inequalities indexed by cycles of a…

Econometrics · Economics 2021-12-10 Grigory Franguridi

In the univariate case, we show that by comparing the individual complexities of univariate cause and effect, one can identify the cause and the effect, without considering their interaction at all. In our framework, complexities are…

Machine Learning · Computer Science 2020-02-25 Tomer Galanti , Ofir Nabati , Lior Wolf

We propose an importance sampling method for tractable and efficient estimation of counterfactual expressions in general settings, named Exogenous Matching. By minimizing a common upper bound of counterfactual estimators, we transform the…

Machine Learning · Computer Science 2025-02-14 Yikang Chen , Dehui Du , Lili Tian

This paper introduces a simple framework of counterfactual estimation for causal inference with time-series cross-sectional data, in which we estimate the average treatment effect on the treated by directly imputing counterfactual outcomes…

Methodology · Statistics 2022-08-16 Licheng Liu , Ye Wang , Yiqing Xu

Uplift modeling estimates the causal effect of an intervention as the difference between potential outcomes under treatment and control, whereas counterfactual identification aims to recover the joint distribution of these potential…

Machine Learning · Computer Science 2025-12-10 Théo Verhelst , Gianluca Bontempi

Reconstructing the causal relationships behind the phenomena we observe is a fundamental challenge in all areas of science. Discovering causal relationships through experiments is often infeasible, unethical, or expensive in complex…

Machine Learning · Statistics 2022-09-09 Christian Reiser

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

We address counterfactual analysis in empirical models of games with partially identified parameters, and multiple equilibria and/or randomized strategies, by constructing and analyzing the counterfactual predictive distribution set (CPDS).…

Econometrics · Economics 2024-10-17 Brendan Kline , Elie Tamer

We develop a principled framework for discovering causal structure in partial differential equations (PDEs) using physics-informed neural networks and counterfactual perturbations. Unlike classical residual minimization or sparse regression…

Machine Learning · Computer Science 2025-06-26 Ronald Katende

Of late, in order to have better acceptability among various domain, researchers have argued that machine intelligence algorithms must be able to provide explanations that humans can understand causally. This aspect, also known as…

Machine Learning · Computer Science 2022-08-24 Satyam Kumar , Vadlamani Ravi

Causal treatment effect estimation is a key problem that arises in a variety of real-world settings, from personalized medicine to governmental policy making. There has been a flurry of recent work in machine learning on estimating causal…

Machine Learning · Computer Science 2020-10-22 Niki Kilbertus , Matt J. Kusner , Ricardo Silva

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

Machine Learning · Computer Science 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments that cannot be resolved until more data are observed. This difficulty is compounded when clusters follow complex distributions, as…

Machine Learning · Statistics 2026-04-17 Connie Trojan , Pavel Myshkov , Paul Fearnhead , James Hensman , Tom Minka , Christopher Nemeth

Controlling false positives (Type I errors) through statistical hypothesis testing is a foundation of modern scientific data analysis. Existing causal structure discovery algorithms either do not provide Type I error control or cannot scale…

Methodology · Statistics 2025-12-29 James Leiner , Brian Manzo , Aaditya Ramdas , Wesley Tansey

When domain knowledge is limited and experimentation is restricted by ethical, financial, or time constraints, practitioners turn to observational causal discovery methods to recover the causal structure, exploiting the statistical…