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We develop a framework for causal inference with continuous spatiotemporal point-process outcomes under cell-level interventions and outcome spillover. Potential outcomes are indexed by full treatment allocations, and the observed…

Methodology · Statistics 2026-04-15 Conor Kresin , Duncan A. Clark , Louis Davis , Martin Hazelton

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

Methodology · Statistics 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

Off-policy evaluation (OPE) estimates the value of a target treatment policy (e.g., a recommender system) using data collected by a different logging policy. It enables high-stakes experimentation without live deployment, yet in practice…

Machine Learning · Statistics 2026-05-18 Connor Douglas , Joel Persson , Foster Provost

Causal inference from observational datasets often relies on measuring and adjusting for covariates. In practice, measurements of the covariates can often be noisy and/or biased, or only measurements of their proxies may be available.…

Machine Learning · Computer Science 2022-02-23 Wenshuo Guo , Mingzhang Yin , Yixin Wang , Michael I. Jordan

Causal sensitivity analysis aims to provide bounds for causal effect estimates in the presence of unobserved confounding. However, existing methods for causal sensitivity analysis are per-instance procedures, meaning that changes to the…

Machine Learning · Statistics 2026-05-12 Emil Javurek , Dennis Frauen , Marie Brockschmidt , Jonas Schweisthal , Stefan Feuerriegel

Network interference has attracted significant attention in the field of causal inference, encapsulating various sociological behaviors where the treatment assigned to one individual within a network may affect the outcomes of others, such…

Machine Learning · Computer Science 2025-02-11 Zhiheng Zhang , Zichen Wang

Probabilities of Causation (PoC) play a fundamental role in decision-making in law, health care and public policy. Nevertheless, their point identification is challenging, requiring strong assumptions, in the absence of which only bounds…

Artificial Intelligence · Computer Science 2023-10-13 Numair Sani , Atalanti A. Mastakouri

We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an…

Numerical Analysis · Mathematics 2022-02-28 Elizabeth Qian , Ionut-Gabriel Farcas , Karen Willcox

This paper discusses the problem of causal query in observational data with hidden variables, with the aim of seeking the change of an outcome when "manipulating" a variable while given a set of plausible confounding variables which affect…

Artificial Intelligence · Computer Science 2020-11-25 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu , Kui Yu , Thuc Duy Le

The scientific rigor and computational methods of causal inference have had great impacts on many disciplines, but have only recently begun to take hold in spatial applications. Spatial casual inference poses analytic challenges due to…

Methodology · Statistics 2020-07-07 Brian J Reich , Shu Yang , Yawen Guan , Andrew B Giffin , Matthew J Miller , Ana G Rappold

Machine learning predictions are increasingly used to supplement incomplete or costly-to-measure outcomes in fields such as biomedical research, environmental science, and social science. However, treating predictions as ground truth…

Machine Learning · Statistics 2026-01-29 Yilin Song , Dan M. Kluger , Harsh Parikh , Tian Gu

Policy evaluation algorithms are essential to reinforcement learning due to their ability to predict the performance of a policy. However, there are two long-standing issues lying in this prediction problem that need to be tackled:…

Machine Learning · Computer Science 2021-12-30 Daoming Lyu , Bo Liu , Matthieu Geist , Wen Dong , Saad Biaz , Qi Wang

Ordinary differential equation (ODE) models are widely used to describe chemical or biological processes. This article considers the estimation and assessment of such models on the basis of time-course data. Due to experimental limitations,…

Molecular Networks · Quantitative Biology 2023-02-14 Samuel W. K. Wong , Shihao Yang , S. C. Kou

We study the novel problem of future off-policy evaluation (F-OPE) and learning (F-OPL) for estimating and optimizing the future value of policies in non-stationary environments, where distributions vary over time. In e-commerce…

Machine Learning · Computer Science 2025-06-26 Tatsuhiro Shimizu , Kazuki Kawamura , Takanori Muroi , Yusuke Narita , Kei Tateno , Takuma Udagawa , Yuta Saito

We propose a unified framework to study policy evaluation (PE) and the associated temporal difference (TD) methods for reinforcement learning in continuous time and space. We show that PE is equivalent to maintaining the martingale…

Machine Learning · Computer Science 2022-02-02 Yanwei Jia , Xun Yu Zhou

Reinforcement learning (RL) has the potential to transform real-world decision-making systems by enabling autonomous agents to learn from experience. Deploying RL in real-world settings, especially in the context of human-robot interaction,…

Machine Learning · Computer Science 2026-02-04 Saurav Singh , Rodney Sanchez , Alexander Ororbia , Jamison Heard

The growing availability of large health databases has expanded the use of observational studies for comparative effectiveness research. Unlike randomized trials, observational studies must adjust for systematic differences in patient…

Methodology · Statistics 2026-01-21 Haidong Lu , Fan Li , Laine E. Thomas , Fan Li

Due to unmeasured confounding, it is often not possible to identify causal effects from a postulated model. Nevertheless, we can ask for partial identification, which usually boils down to finding upper and lower bounds of a causal quantity…

Machine Learning · Statistics 2022-03-01 Jakob Zeitler , Ricardo Silva

Traffic state estimation (TSE) fundamentally involves solving high-dimensional spatiotemporal partial differential equations (PDEs) governing traffic flow dynamics from limited, noisy measurements. While Physics-Informed Neural Networks…

Machine Learning · Computer Science 2025-08-19 Zhihao Li , Ting Wang , Guojian Zou , Ruofei Wang , Ye Li

Randomized experiments have become a cornerstone of evidence-based decision-making in contexts ranging from online platforms to public health. However, in experimental settings with network interference, a unit's treatment can influence…

Machine Learning · Computer Science 2025-10-22 Sadegh Shirani , Yuwei Luo , William Overman , Ruoxuan Xiong , Mohsen Bayati
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