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We study global optimization of non-convex functions through optimal control theory. Our main result establishes that (quasi-)optimal trajectories of a discounted control problem converge globally and practically asymptotically to the set…

最优化与控制 · 数学 2025-11-17 Yuyang Huang , Dante Kalise , Hicham Kouhkouh

Covariate adjustment is widely recommended to improve statistical efficiency in randomized clinical trials (RCTs), yet empirical evidence comparing available strategies remains limited. This lack of real-world evaluation leaves unresolved…

应用统计 · 统计学 2026-02-03 Yulin Shao , Liangbo Lyu , Menggang Yu , Bingkai Wang

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

统计方法学 · 统计学 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

In this paper, we address the optimal control of stochastic matching models on general graphs and single arrivals having fixed arrival rates, as introduced in \cite{MaiMoy16}. On the `N-shaped' graph, by following the dynamic programming…

最优化与控制 · 数学 2024-02-06 Loïc Jean , Pascal Moyal

The current body of research on developing optimal treatment strategies often places emphasis on intention-to-treat analyses, which fail to take into account the compliance behavior of individuals. Methods based on instrumental variables…

统计方法学 · 统计学 2024-02-21 Cuong T. Pham , Kevin G. Lynch , James R. McKay , Ashkan Ertefaie

Enhanced sampling simulations make the computational study of rare events feasible. A large family of such methods crucially depends on the definition of some collective variables (CVs) that could provide a low-dimensional representation of…

计算物理 · 物理学 2026-03-03 Jintu Zhang , Luigi Bonati , Enrico Trizio , Odin Zhang , Yu Kang , TingJun Hou , Michele Parrinello

We propose a new method in indefinite-horizon settings for estimating optimal dynamic treatment regimes for time-to-event outcomes. This method allows patients to have different numbers of treatment stages and is constructed using…

统计方法学 · 统计学 2025-01-31 Jane She , Matthew Egberg , Michael R. Kosorok

This note considers the maximal positively invariant set for polynomial discrete time dynamics subject to constraints specified by a basic semialgebraic set. The note utilizes a relatively direct, but apparently overlooked, fact stating…

动力系统 · 数学 2017-12-05 Saša V. Raković , Mario E. Villanueva

We consider optimal regimes for algorithm-assisted human decision-making. Such regimes are decision functions of measured pre-treatment variables and, by leveraging natural treatment values, enjoy a "superoptimality" property whereby they…

统计方法学 · 统计学 2024-02-23 Mats J. Stensrud , Julien Laurendeau , Aaron L. Sarvet

This paper presents a novel factor graph-based approach to solve the discrete-time finite-horizon Linear Quadratic Regulator problem subject to auxiliary linear equality constraints within and across time steps. We represent such optimal…

机器人学 · 计算机科学 2021-10-27 Shuo Yang , Gerry Chen , Yetong Zhang , Howie Choset , Frank Dellaert

This paper studies the performative policy learning problem, where agents adjust their features in response to a released policy to improve their potential outcomes, inducing an endogenous distribution shift. There has been growing interest…

机器学习 · 计算机科学 2025-02-25 Qianyi Chen , Ying Chen , Bo Li

We study the data-driven selection of causal graphical models using constraint-based algorithms, which determine the existence or non-existence of edges (causal connections) in a graph based on testing a series of conditional independence…

统计方法学 · 统计学 2026-04-29 Daniel Malinsky

We consider continuous-time survival or more general event-history settings, where the aim is to infer the causal effect of a time-dependent treatment process. This is formalised as the effect on the outcome event of a (possibly…

统计方法学 · 统计学 2024-04-23 Kjetil Røysland , Pål Ryalen , Mari Nygård , Vanessa Didelez

We study the problem of selecting covariates for unbiased estimation of the total causal effect.Existing approaches typically rely on global causal structure learning over all variables, or on strong assumptions such as causal sufficiency -…

机器学习 · 统计学 2026-05-22 Zeyu Liu , Zheng Li , Feng Xie , Yan Zeng , Hao Zhang , Kun Zhang

Estimating causal effects from randomized experiments is central to clinical research. Reducing the statistical uncertainty in these analyses is an important objective for statisticians. Registries, prior trials, and health records…

机器学习 · 统计学 2021-12-06 Alejandro Schuler , David Walsh , Diana Hall , Jon Walsh , Charles Fisher

Conformal prediction has received tremendous attention in recent years and has offered new solutions to problems in missing data and causal inference; yet these advances have not leveraged modern semiparametric efficiency theory for more…

统计方法学 · 统计学 2022-12-14 Yachong Yang , Arun Kumar Kuchibhotla , Eric Tchetgen Tchetgen

Policy-makers are often faced with the task of distributing a limited supply of resources. To support decision-making in these settings, statisticians are confronted with two challenges: estimands are defined by allocation strategies that…

统计方法学 · 统计学 2024-04-01 Aaron L. Sarvet , Julien D. Laurendeau , Mats J. Stensrud

Sequential decision problems are widely studied across many areas of science. A key challenge when learning policies from historical data - a practice commonly referred to as off-policy learning - is how to ``identify'' the impact of a…

统计方法学 · 统计学 2025-01-03 Joakim Blach Andersen , Qingyuan Zhao

Unrolled computation graphs arise in many scenarios, including training RNNs, tuning hyperparameters through unrolled optimization, and training learned optimizers. Current approaches to optimizing parameters in such computation graphs…

机器学习 · 计算机科学 2021-12-28 Paul Vicol , Luke Metz , Jascha Sohl-Dickstein

Structured convex optimization on weighted graphs finds numerous applications in machine learning and computer vision. In this work, we propose a novel adaptive preconditioning strategy for proximal algorithms on this problem class. Our…

最优化与控制 · 数学 2020-02-28 Zhenzhang Ye , Thomas Möllenhoff , Tao Wu , Daniel Cremers