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Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

Statistics Theory · Mathematics 2018-11-15 Angelos P. Armen , Robin J. Evans

We present a new method for counterfactual explanations (CFEs) based on Bayesian optimisation that applies to both classification and regression models. Our method is a globally convergent search algorithm with support for arbitrary…

Machine Learning · Computer Science 2021-06-30 Thomas Spooner , Danial Dervovic , Jason Long , Jon Shepard , Jiahao Chen , Daniele Magazzeni

We consider identification and inference about a counterfactual outcome mean when there is unmeasured confounding using tools from proximal causal inference (Miao et al. [2018], Tchetgen Tchetgen et al. [2020]). Proximal causal inference…

Methodology · Statistics 2023-10-03 Jeffrey Zhang , Wei Li , Wang Miao , Eric Tchetgen Tchetgen

This paper clarifies how and why structural demand models (Berry and Haile, 2014, 2024) predict unit-level counterfactual outcomes. We do so by casting structural assumptions equivalently as restrictions on the joint distribution of…

Econometrics · Economics 2025-11-07 Jiafeng Chen

Causal structure discovery methods are commonly applied to structured data where the causal variables are known and where statistical testing can be used to assess the causal relationships. By contrast, recovering a causal structure from…

Computation and Language · Computer Science 2024-10-10 Gaël Gendron , Jože M. Rožanec , Michael Witbrock , Gillian Dobbie

Semantic parsing solves knowledge base (KB) question answering (KBQA) by composing a KB query, which generally involves node extraction (NE) and graph composition (GC) to detect and connect related nodes in a query. Despite the strong…

Computation and Language · Computer Science 2022-07-11 Minhao Zhang , Ruoyu Zhang , Yanzeng Li , Lei Zou

The objective of advanced topic modeling is not only to explore latent topical structures, but also to estimate relationships between the discovered topics and theoretically relevant metadata. Methods used to estimate such relationships…

Computation and Language · Computer Science 2025-04-29 P. Schulze , S. Wiegrebe , P. W. Thurner , C. Heumann , M. Aßenmacher

Causal models, also known as Structural Equation Models (SEM), are a well-known formalism for representing and reasoning about causal dependencies between events. In this paper, we show that Temporal SEMs (TSEMs), which extend SEMs to…

Formal Languages and Automata Theory · Computer Science 2026-05-08 Maksim Gladyshev , Natasha Alechina , Brian Logan

Causal Bayesian networks have become a powerful technology for reasoning under uncertainty in areas that require transparency and explainability, by relying on causal assumptions that enable us to simulate hypothetical interventions. The…

Artificial Intelligence · Computer Science 2023-03-14 Anthony C. Constantinou , Zhigao Guo , Neville K. Kitson

We develop the theory and practice of an approach to modelling and probabilistic inference in causal networks that is suitable when application-specific or analysis-specific constraints should inform such inference or when little or no data…

Artificial Intelligence · Computer Science 2017-05-16 Paul Beaumont , Michael Huth

Temporal knowledge graph completion aims to infer the missing facts in temporal knowledge graphs. Current approaches usually embed factual knowledge into continuous vector space and apply geometric operations to learn potential patterns in…

Artificial Intelligence · Computer Science 2024-08-14 Rui Ying , Mengting Hu , Jianfeng Wu , Yalan Xie , Xiaoyi Liu , Zhunheng Wang , Ming Jiang , Hang Gao , Linlin Zhang , Renhong Cheng

We introduce a Bayesian Gaussian process latent variable model that explicitly captures spatial correlations in data using a parameterized spatial kernel and leveraging structure-exploiting algebra on the model covariance matrices for…

Machine Learning · Statistics 2018-05-23 Steven Atkinson , Nicholas Zabaras

Counterfactuals -- expressing what might have been true under different circumstances -- have been widely applied in statistics and machine learning to help understand causal relationships. More recently, counterfactuals have begun to…

Human-Computer Interaction · Computer Science 2024-04-08 Arran Zeyu Wang , David Borland , David Gotz

Conformal prediction has emerged as a cutting-edge methodology in statistics and machine learning, providing prediction intervals with finite-sample frequentist coverage guarantees. Yet, its interplay with Bayesian statistics, often…

Methodology · Statistics 2026-03-27 Nina Deliu , Brunero Liseo

Counting the number of answers to conjunctive queries is a fundamental problem in databases that, under standard assumptions, does not have an efficient solution. The issue is inherently #P-hard, extending even to classes of acyclic…

Databases · Computer Science 2024-09-12 Hubie Chen , Gianluigi Greco , Stefan Mengel , Francesco Scarcello

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

Structural models that admit multiple reduced forms, such as game-theoretic models with multiple equilibria, pose challenges in practice, especially when parameters are set-identified and the identified set is large. In such cases,…

Econometrics · Economics 2021-01-29 Nathan Canen , Kyungchul Song

Estimating causal quantities traditionally relies on bespoke estimators tailored to specific assumptions. Recently proposed Causal Foundation Models (CFMs) promise a more unified approach by amortising causal discovery and inference in a…

Stress testing poses a causal question: how would portfolio credit losses change if the macroeconomy followed an adverse counterfactual path? Yet standard practice remains predictive and might be therefore vulnerable to omitted-variable…

Artificial Intelligence · Computer Science 2026-05-19 Yu Wang , Xiangchen Liu , Siguang Li

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
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