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In this paper we review an approach to estimating the causal effect of a time-varying treatment on time to some event of interest. This approach is designed for the situation where the treatment may have been repeatedly adapted to patient…

Statistics Theory · Mathematics 2007-06-13 J. J. Lok , R. D. Gill , A. W. van der Vaart , J. M. Robins

Deep learning inspired by differential equations is a recent research trend and has marked the state of the art performance for many machine learning tasks. Among them, time-series modeling with neural controlled differential equations…

Machine Learning · Computer Science 2022-09-22 Sheo Yon Jhin , Jaehoon Lee , Minju Jo , Seungji Kook , Jinsung Jeon , Jihyeon Hyeong , Jayoung Kim , Noseong Park

Reliable estimation of treatment effects from observational data is important in many disciplines such as medicine. However, estimation is challenging when unconfoundedness as a standard assumption in the causal inference literature is…

Machine Learning · Computer Science 2024-10-15 Jonas Schweisthal , Dennis Frauen , Maresa Schröder , Konstantin Hess , Niki Kilbertus , Stefan Feuerriegel

Neural controlled differential equations (Neural CDEs) are a continuous-time extension of recurrent neural networks (RNNs), achieving state-of-the-art (SOTA) performance at modelling functions of irregular time series. In order to interpret…

Machine Learning · Computer Science 2021-06-22 James Morrill , Patrick Kidger , Lingyi Yang , Terry Lyons

Treatment effect estimation is a fundamental problem in causal inference. We focus on designing efficient randomized controlled trials, to accurately estimate the effect of some treatment on a population of $n$ individuals. In particular,…

Machine Learning · Computer Science 2022-10-14 Raghavendra Addanki , David Arbour , Tung Mai , Cameron Musco , Anup Rao

A further understanding of cause and effect within observational data is critical across many domains, such as economics, health care, public policy, web mining, online advertising, and marketing campaigns. Although significant advances…

Machine Learning · Computer Science 2023-04-11 Zhixuan Chu , Sheng Li

Clinical time series data from electronic health records and medical registries offer unprecedented opportunities to understand patient trajectories and inform medical decision-making. However, leveraging such data presents significant…

Machine Learning · Computer Science 2025-11-21 Muhammad Aslanimoghanloo , Ahmed ElGazzar , Marcel van Gerven

Neural ordinary differential equations are an attractive option for modelling temporal dynamics. However, a fundamental issue is that the solution to an ordinary differential equation is determined by its initial condition, and there is no…

Machine Learning · Computer Science 2020-11-06 Patrick Kidger , James Morrill , James Foster , Terry Lyons

This paper studies the identification, estimation, and inference of long-term (binary) treatment effect parameters when balanced panel data is not available, or consists of only a subset of the available data. We develop a new estimator:…

Econometrics · Economics 2025-02-04 Christophe Bellégo , David Benatia , Vincent Dortet-Bernardet

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

We develop a novel deep learning method for uncertainty quantification in stochastic partial differential equations based on Bayesian neural network (BNN) and Hamiltonian Monte Carlo (HMC). A BNN efficiently learns the posterior…

Machine Learning · Statistics 2022-10-24 Jeahan Jung , Minseok Choi

We propose a novel multi-task neural network approach for estimating distributional treatment effects (DTE) in randomized experiments. While DTE provides more granular insights into the experiment outcomes over conventional methods focusing…

Machine Learning · Computer Science 2025-07-11 Tomu Hirata , Undral Byambadalai , Tatsushi Oka , Shota Yasui , Shingo Uto

Identifying heterogeneity in a population's response to a health or policy intervention is crucial for evaluating and informing policy decisions. We propose a novel heterogeneous treatment effect estimator in the difference-in-differences…

Methodology · Statistics 2021-08-24 Xinkun Nie , Chen Lu , Stefan Wager

Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of the art discretization techniques remains an expensive…

Computational Engineering, Finance, and Science · Computer Science 2021-01-14 Xiaoxuan Zhang , Krishna Garikipati

This paper studies the identification of causal effects of a continuous treatment using a new difference-in-difference strategy. Our approach allows for endogeneity of the treatment, and employs repeated cross-sections. It requires an…

Econometrics · Economics 2023-04-18 Xavier D'Haultfoeuille , Stefan Hoderlein , Yuya Sasaki

Neural controlled differential equations (CDEs) are the continuous-time analogue of recurrent neural networks, as Neural ODEs are to residual networks, and offer a memory-efficient continuous-time way to model functions of potentially…

Machine Learning · Computer Science 2021-06-22 James Morrill , Cristopher Salvi , Patrick Kidger , James Foster , Terry Lyons

Estimating an individual's potential response to continuously varied treatments is crucial for addressing causal questions across diverse domains, from healthcare to social sciences. However, existing methods are limited either to…

Machine Learning · Computer Science 2024-10-22 Shutong Chen , Yang Li

Causal inference is widely used in various fields, such as biology, psychology and economics, etc. In observational studies, we need to balance the covariates before estimating causal effect. This study extends the one-dimensional entropy…

Methodology · Statistics 2022-05-19 Juan Chen , Yingchun Zhou

This paper introduces a novel approach for estimating heterogeneous treatment effects of binary treatment in panel data, particularly focusing on short panel data with large cross-sectional data and observed confoundings. In contrast to…

Methodology · Statistics 2024-06-05 Meijia Wang , Ignacio Martinez , P. Richard Hahn

Estimating the effect of a treatment on a given outcome, conditioned on a vector of covariates, is central in many applications. However, learning the impact of a treatment on a continuous temporal response, when the covariates suffer…

Machine Learning · Computer Science 2019-06-11 Guangyi Zhang , Reza Ashrafi , Anne Juuti , Kirsi Pietiläinen , Pekka Marttinen