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A weighted Shiryaev-Roberts change detection procedure is shown to approximately minimize the expected delay to detection as well as higher moments of the detection delay among all change-point detection procedures with the given low…

统计理论 · 数学 2019-09-04 Serguei Pergamenchtchikov , Alexander G. Tartakovsky

Estimating optimal dynamic treatment regimes (DTRs) using observational data is often challenged by nonignorable missing covariates arsing from informative monitoring of patients in clinical practice. To address nonignorable missingness of…

统计方法学 · 统计学 2025-07-01 Jian Sun , Bo Fu , Li Su

We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

统计理论 · 数学 2025-07-25 Nils Sturma , Mathias Drton

We present a graphical criterion for covariate adjustment that is sound and complete for four different classes of causal graphical models: directed acyclic graphs (DAGs), maximum ancestral graphs (MAGs), completed partially directed…

统计理论 · 数学 2018-06-20 Emilija Perković , Johannes Textor , Markus Kalisch , Marloes H. Maathuis

We present a practically efficient algorithm for maintaining a global minimum cut in large dynamic graphs under both edge insertions and deletions. While there has been theoretical work on this problem, our algorithm is the first…

数据结构与算法 · 计算机科学 2021-01-14 Monika Henzinger , Alexander Noe , Christian Schulz

We study episodic linear mixture MDPs with the unknown transition and adversarial rewards under full-information feedback, employing dynamic regret as the performance measure. We start with in-depth analyses of the strengths and limitations…

机器学习 · 计算机科学 2024-11-06 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

We introduce a nonparametric graphical model for discrete node variables based on additive conditional independence. Additive conditional independence is a three way statistical relation that shares similar properties with conditional…

统计方法学 · 统计学 2021-12-30 Jun Tao , Bing Li , Lingzhou Xue

We introduce a new class of adaptive policies called periodic-affine policies, that allows a decision maker to optimally manage and control large-scale newsvendor networks in the presence of uncertain demand without distributional…

最优化与控制 · 数学 2018-06-19 Chaithanya Bandi , Eojin Han , Omid Nohadani

The present paper proposes a new treatment effects estimator that is valid when the number of time periods is small, and the parallel trends condition holds conditional on covariates and unobserved heterogeneity in the form of interactive…

计量经济学 · 经济学 2023-06-16 Nicholas Brown , Kyle Butts , Joakim Westerlund

When estimating causal effects from observational studies, researchers often need to adjust for many covariates to deconfound the non-causal relationship between exposure and outcome, among which many covariates are discrete. The behavior…

统计理论 · 数学 2024-05-07 Zhenghao Zeng , Sivaraman Balakrishnan , Yanjun Han , Edward H. Kennedy

An individualized treatment rule (ITR) is a decision rule that aims to improve individual patients health outcomes by recommending optimal treatments according to patients specific information. In observational studies, collected data may…

统计方法学 · 统计学 2023-10-03 Zeyu Bian , Erica EM Moodie , Susan M Shortreed , Sylvie D Lambert , Sahir Bhatnagar

In this paper, we investigate the identifiability of average controlled direct effects and average natural direct effects in causal systems represented by summary causal graphs, which are abstractions of full causal graphs, often used in…

人工智能 · 计算机科学 2025-10-10 Simon Ferreira , Charles K. Assaad

We introduce and study a variational framework for the analysis of empirical risk based inference for dynamical systems and ergodic processes. The analysis applies to a two-stage estimation procedure in which (i) the trajectory of an…

动力系统 · 数学 2018-01-24 Kevin McGoff , Andrew B. Nobel

We investigate how to improve efficiency using regression adjustments with covariates in covariate-adaptive randomizations (CARs) with imperfect subject compliance. Our regression-adjusted estimators, which are based on the doubly robust…

计量经济学 · 经济学 2023-06-19 Liang Jiang , Oliver B. Linton , Haihan Tang , Yichong Zhang

The estimation of the treatment effect is often biased in the presence of unobserved confounding variables which are commonly referred to as hidden variables. Although a few methods have been recently proposed to handle the effect of hidden…

统计方法学 · 统计学 2022-08-01 Kevin Jiang , Yang Ning

We study a fundamental stochastic selection problem involving $n$ independent random variables, each of which can be queried at some cost. Given a tolerance level $\delta$, the goal is to find a value that is $\delta$-approximately minimum…

数据结构与算法 · 计算机科学 2025-04-25 Hessa Al-Thani , Viswanath Nagarajan

Focusing on stochastic programming (SP) with covariate information, this paper proposes an empirical risk minimization (ERM) method embedded within a nonconvex piecewise affine decision rule (PADR), which aims to learn the direct mapping…

最优化与控制 · 数学 2025-09-29 Yiyang Zhang , Junyi Liu , Xiaobo Zhao

Minimal and efficient graph representations are key to store, communicate, and sample the search space of graphs and networks while meeting user-defined criteria. In this paper, we investigate the feasibility of gradient-free optimization…

离散数学 · 计算机科学 2023-12-15 Victor Parque , Tomoyuki Miyashita

Unbiased and consistent variance estimators generally do not exist for design-based treatment effect estimators because experimenters never observe more than one potential outcome for any unit. The problem is exacerbated by interference and…

统计方法学 · 统计学 2024-07-04 Christopher Harshaw , Joel A. Middleton , Fredrik Sävje

In this paper, we consider adaptive estimation of an unknown planar compact, convex set from noisy measurements of its support function on a uniform grid. Both the problem of estimating the support function at a point and that of estimating…

统计理论 · 数学 2015-08-18 Tony Cai , Adityanand Guntuboyina , Yuting Wei
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