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Long-term causal inference has drawn increasing attention in many scientific domains. Existing methods mainly focus on estimating average long-term causal effects by combining long-term observational data and short-term experimental data.…

Machine Learning · Computer Science 2025-03-04 Weilin Chen , Ruichu Cai , Junjie Wan , Zeqin Yang , José Miguel Hernández-Lobato

Reproducibility is a fundamental requirement for validating scientific claims in computational research. Stochastic computational models are widely used in fields such as systems biology, financial modeling and environmental sciences.…

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

The restricted mean survival time (RMST) difference offers an interpretable causal contrast to estimate the treatment effect for time-to-event outcomes, yet a wide range of available estimators leaves limited guidance for practice. We…

Methodology · Statistics 2026-03-02 Charlotte Voinot , Clément Berenfeld , Imke Mayer , Bernard Sebastien , Julie Josse

The analysis of randomized controlled trials is often complicated by intercurrent events (IEs) -- events that occur after treatment initiation and affect either the interpretation or existence of outcome measurements. Examples include…

Methodology · Statistics 2026-04-07 Sizhu Lu , Yanyao Yi , Yongming Qu , Huayu Karen Liu , Ting Ye , Peng Ding

We study the problem of learning conditional average treatment effects (CATE) from observational data with unobserved confounders. The CATE function maps baseline covariates to individual causal effect predictions and is key for…

Machine Learning · Statistics 2018-10-09 Nathan Kallus , Xiaojie Mao , Angela Zhou

We build a unifying convex analysis framework characterizing the statistical properties of a large class of penalized estimators, both under a regular and an irregular design. Our framework interprets penalized estimators as proximal…

Statistics Theory · Mathematics 2026-05-12 Alberto Quaini , Fabio Trojani

For a class of non-selfadjoint semiclassical pseudodifferential operators with double characteristics, we study bounds for resolvents and estimates for low lying eigenvalues. Specifically, assuming that the quadratic approximations of the…

Analysis of PDEs · Mathematics 2009-02-23 Michael Hitrik , Karel Pravda-Starov

Average Treatment Effect (ATE) estimation is a well-studied problem in causal inference. However, it does not necessarily capture the heterogeneity in the data, and several approaches have been proposed to tackle the issue, including…

Machine Learning · Computer Science 2024-03-19 Raghavendra Addanki , Siddharth Bhandari

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

Methodology · Statistics 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

Estimating the conditional average treatment effect (CATE) from observational data plays a crucial role in areas such as e-commerce, healthcare, and economics. Existing studies mainly rely on the strong ignorability assumption that there…

Machine Learning · Computer Science 2025-01-28 Chuan Zhou , Yaxuan Li , Chunyuan Zheng , Haiteng Zhang , Haoxuan Li , Mingming Gong

Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to $\rel = 110$ are determined by the extended self similarity method. We…

chao-dyn · Physics 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

We develop new econometric methods for estimation and inference in high-dimensional panel data models with interactive fixed effects. Our approach can be regarded as a non-trivial extension of the very popular common correlated effects…

Econometrics · Economics 2025-08-11 Maximilian Ruecker , Michael Vogt , Oliver Linton , Christopher Walsh

Functional data analysis has been extensively conducted. In this study, we consider a partially functional model, under which some covariates are scalars and have linear effects, while some other variables are functional and have…

Methodology · Statistics 2023-01-11 Weijuan Liang , Qingzhao Zhang , Shuangge Ma

Despite the risk of misspecification they are tied to, parametric models continue to be used in statistical practice because they are accessible to all. In particular, efficient estimation procedures in parametric models are simple to…

Statistics Theory · Mathematics 2016-09-01 Marco Carone , Alexander R. Luedtke , Mark J. van der Laan

We study statistical estimators computed using iterative optimization methods that are not run until completion. Classical results on maximum likelihood estimators (MLEs) assert that a one-step estimator (OSE), in which a single…

Optimization and Control · Mathematics 2021-06-28 Robert Bassett , Julio Deride

Efficient simulation of SDEs is essential in many applications, particularly for ergodic systems that demand efficient simulation of both short-time dynamics and large-time statistics. However, locally Lipschitz SDEs often require special…

Numerical Analysis · Mathematics 2021-02-26 Xingjie Li , Fei Lu , Felix X. -F. Ye

The paper aims at reconsidering the famous Le Cam LAN theory. The main features of the approach which make it different from the classical one are as follows: (1) the study is nonasymptotic, that is, the sample size is fixed and does not…

Statistics Theory · Mathematics 2013-03-06 Vladimir Spokoiny

Latent structure models are a powerful tool for modeling language data: they can mitigate the error propagation and annotation bottleneck in pipeline systems, while simultaneously uncovering linguistic insights about the data. One challenge…

Computation and Language · Computer Science 2020-10-07 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

While sample sizes in randomized clinical trials are large enough to estimate the average treatment effect well, they are often insufficient for estimation of treatment-covariate interactions critical to studying data-driven precision…

Machine Learning · Statistics 2020-04-22 Steve Yadlowsky , Fabio Pellegrini , Federica Lionetto , Stefan Braune , Lu Tian
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