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We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

Statistics Theory · Mathematics 2018-07-18 Dave Zachariah , Petre Stoica

Consider a setting with multiple units (e.g., individuals, cohorts, geographic locations) and outcomes (e.g., treatments, times, items), where the goal is to learn a multivariate distribution for each unit-outcome entry, such as the…

Machine Learning · Statistics 2025-10-21 Kyuseong Choi , Jacob Feitelberg , Caleb Chin , Anish Agarwal , Raaz Dwivedi

Model explanations based on pure observational data cannot compute the effects of features reliably, due to their inability to estimate how each factor alteration could affect the rest. We argue that explanations should be based on the…

Machine Learning · Statistics 2019-09-20 Álvaro Parafita , Jordi Vitrià

Quantile regression extends regression analysis beyond the conditional mean, providing a richer characterization of covariate effects across the outcome distribution. For sensitive binary outcomes, however, misclassification due to…

Methodology · Statistics 2026-05-18 Joon Jin Song , Mohammad Arshad Rahman , Yoo-Mi Chin , James Stamey

Given an observational study with $n$ independent but heterogeneous units, our goal is to learn the counterfactual distribution for each unit using only one $p$-dimensional sample per unit containing covariates, interventions, and outcomes.…

Machine Learning · Computer Science 2023-09-18 Abhin Shah , Raaz Dwivedi , Devavrat Shah , Gregory W. Wornell

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

Methodology · Statistics 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

Machine learning can impact people with legal or ethical consequences when it is used to automate decisions in areas such as insurance, lending, hiring, and predictive policing. In many of these scenarios, previous decisions have been made…

Machine Learning · Statistics 2018-03-09 Matt J. Kusner , Joshua R. Loftus , Chris Russell , Ricardo Silva

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

Estimating counterfactual outcomes over time from observational data is relevant for many applications (e.g., personalized medicine). Yet, state-of-the-art methods build upon simple long short-term memory (LSTM) networks, thus rendering…

Machine Learning · Computer Science 2022-06-06 Valentyn Melnychuk , Dennis Frauen , Stefan Feuerriegel

Causal inference methods such as instrumental variables, regression discontinuity, and difference-in-differences are widely used to identify and estimate treatment effects. However, when outcomes are qualitative, their application poses…

Econometrics · Economics 2025-06-30 Riccardo Di Francesco , Giovanni Mellace

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang

Counterfactual instances offer human-interpretable insight into the local behaviour of machine learning models. We propose a general framework to generate sparse, in-distribution counterfactual model explanations which match a desired…

Machine Learning · Computer Science 2021-01-26 Arnaud Van Looveren , Janis Klaise , Giovanni Vacanti , Oliver Cobb

The fundamental problem of causal inference - that the counterfactual outcome for any individual is never observed - has shaped the entire methodology of the field. Every existing approach substitutes assumptions for missing data:…

Artificial Intelligence · Computer Science 2026-04-03 Olav Laudy

In (Beckers, 2025) I introduced nondeterministic causal models as a generalization of Pearl's standard deterministic causal models. I here take advantage of the increased expressivity offered by these models to offer a novel definition of…

Artificial Intelligence · Computer Science 2025-03-12 Sander Beckers

Causal inference in brain networks has traditionally relied on regression-based models such as Granger causality, structural equation modeling, and dynamic causal modeling. While effective for identifying directed associations, these…

Neurons and Cognition · Quantitative Biology 2026-04-01 Moo K. Chung , Luigi Maccotta , Aaron Struck

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

Methodology · Statistics 2016-08-30 Genya Kobayashi , Kota Ogasawara

Process mining is widely used to diagnose processes and uncover performance and compliance problems. It is also possible to see relations between different behavioral aspects, e.g., cases that deviate more at the beginning of the process…

Artificial Intelligence · Computer Science 2021-12-23 Mahnaz Sadat Qafari , Wil van der Aalst

Counterfactual explanations are attracting significant attention due to the flourishing applications of machine learning models in consequential domains. A counterfactual plan consists of multiple possibilities to modify a given instance so…

Machine Learning · Computer Science 2022-04-12 Ngoc Bui , Duy Nguyen , Viet Anh Nguyen

The notion of causality assumes a paramount position within the realm of human cognition. Over the past few decades, there has been significant advancement in the domain of causal effect estimation across various disciplines, including but…

Machine Learning · Statistics 2024-05-24 Zongyu Li , Xiaobo Guo , Siwei Qiang

The goal of causal inference is to understand the outcome of alternative courses of action. However, all causal inference requires assumptions. Such assumptions can be more influential than in typical tasks for probabilistic modeling, and…

Methodology · Statistics 2016-10-31 Dustin Tran , Francisco J. R. Ruiz , Susan Athey , David M. Blei