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The bias of an estimator is defined as the difference of its expected value from the parameter to be estimated, where the expectation is with respect to the model. Loosely speaking, small bias reflects the desire that if an experiment is…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

机器学习 · 统计学 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

A new meta-algorithm for estimating the conditional average treatment effects is proposed in the paper. The main idea underlying the algorithm is to consider a new dataset consisting of feature vectors produced by means of concatenation of…

机器学习 · 统计学 2019-09-10 Lev V. Utkin , Mikhail V. Kots , Viacheslav S. Chukanov

Selective inference (post-selection inference) is a methodology that has attracted much attention in recent years in the fields of statistics and machine learning. Naive inference based on data that are also used for model selection tends…

统计方法学 · 统计学 2021-11-25 Yoshiyuki Ninomiya , Yuta Umezu , Ichiro Takeuchi

For obtaining causal inferences that are objective, and therefore have the best chance of revealing scientific truths, carefully designed and executed randomized experiments are generally considered to be the gold standard. Observational…

应用统计 · 统计学 2008-11-12 Donald B. Rubin

The need for accurate SQL progress estimation in the context of decision support administration has led to a number of techniques proposed for this task. Unfortunately, no single one of these progress estimators behaves robustly across the…

数据库 · 计算机科学 2012-01-04 Arnd Christian König , Bolin Ding , Surajit Chaudhuri , Vivek Narasayya

We consider the problem of estimating confidence intervals for the mean of a random variable, where the goal is to produce the smallest possible interval for a given number of samples. While minimax optimal algorithms are known for this…

机器学习 · 统计学 2020-06-19 Shengjia Zhao , Christopher Yeh , Stefano Ermon

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

In this paper we review important aspects of semiparametric theory and empirical processes that arise in causal inference problems. We begin with a brief introduction to the general problem of causal inference, and go on to discuss…

统计理论 · 数学 2016-07-25 Edward H. Kennedy

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

统计方法学 · 统计学 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

In experiments that study social phenomena, such as peer influence or herd immunity, the treatment of one unit may influence the outcomes of others. Such "interference between units" violates traditional approaches for causal inference, so…

统计方法学 · 统计学 2023-08-30 David Choi

We consider a stochastic optimization problem involving two random variables: a context variable $X$ and a dependent variable $Y$. The objective is to minimize the expected value of a nonlinear loss functional applied to the conditional…

最优化与控制 · 数学 2026-03-16 Noel Smith , Andrzej Ruszczynski

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained…

机器学习 · 计算机科学 2007-05-23 Kagan Tumer , Joydeep Ghosh

Resetting plays a pivotal role in optimizing the completion time of complex first passage processes with single or multiple outcomes/exit possibilities. While it is well established that the coefficient of variation -- a statistical…

统计力学 · 物理学 2025-12-10 Suvam Pal , Leonardo Dagdug , Dibakar Ghosh , Denis Boyer , Arnab Pal

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…

统计方法学 · 统计学 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris

This paper studies nonparametric local (over-)identification and the semiparametric efficiency in modern causal frameworks. We develop a unified approach that begins by translating structural models with latent variables into their induced…

计量经济学 · 经济学 2026-03-02 Xiaohong Chen , Haitian Xie

We develop a data-driven information-theoretic framework for sharp partial identification of causal effects under unmeasured confounding. Existing approaches often rely on restrictive assumptions, such as bounded or discrete outcomes;…

机器学习 · 统计学 2026-02-24 Yonghan Jung , Bogyeong Kang

Causal inference of exact individual treatment outcomes in the presence of hidden confounders is rarely possible. Recent work has extended prediction intervals with finite-sample guarantees to partially identifiable causal outcomes, by…

机器学习 · 计算机科学 2023-11-02 Myrl G. Marmarelis , Greg Ver Steeg , Aram Galstyan , Fred Morstatter

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

统计方法学 · 统计学 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

Clinical researchers often select among and evaluate risk prediction models using standard machine learning metrics based on confusion matrices. However, if these models are used to allocate interventions to patients, standard metrics…

机器学习 · 统计学 2020-06-03 Alejandro Schuler , Aashish Bhardwaj , Vincent Liu