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We study an online mixed discrete and continuous optimization problem where a decision maker interacts with an unknown environment for a number of $T$ rounds. At each round, the decision maker needs to first jointly choose a discrete and a…

最优化与控制 · 数学 2024-08-27 Lintao Ye , Ming Chi , Zhi-Wei Liu , Xiaoling Wang , Vijay Gupta

The power of adaptivity in algorithms has been intensively studied in diverse areas of theoretical computer science. In this paper, we obtain a number of sharp lower bound results which show that adaptivity provides a significant extra…

密码学与安全 · 计算机科学 2026-05-21 Itai Dinur , Nathan Keller , Avichai Marmor

The control of nonlinear systems with unknown dynamics has been a significant field of research for many years. This paper presents a novel data-driven optimal adaptive control structure with less control effort and faster adaptation than…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Mahmoudi , Nasser Sadati

Precision medicine stands as a transformative approach in healthcare, offering tailored treatments that can enhance patient outcomes and reduce healthcare costs. As understanding of complex disease improves, clinical trials are being…

统计方法学 · 统计学 2024-05-15 Lara Maleyeff , Shirin Golchi , Erica E. M. Moodie , Marie Hudson

We consider control of uncertain linear time-varying stochastic systems from the perspective of regret minimization. Specifically, we focus on the problem of designing a feedback controller that minimizes the loss relative to a clairvoyant…

系统与控制 · 电气工程与系统科学 2024-07-04 Andrea Martin , Luca Furieri , Florian Dörfler , John Lygeros , Giancarlo Ferrari-Trecate

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

统计方法学 · 统计学 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos

The literature focuses on the mean of welfare regret, which can lead to undesirable treatment choice due to sensitivity to sampling uncertainty. We propose to minimize the mean of a nonlinear transformation of regret and show that singleton…

计量经济学 · 经济学 2024-10-03 Toru Kitagawa , Sokbae Lee , Chen Qiu

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

统计方法学 · 统计学 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

In this paper, we focus on a theory-practice gap for Adam and its variants (AMSgrad, AdamNC, etc.). In practice, these algorithms are used with a constant first-order moment parameter $\beta_{1}$ (typically between $0.9$ and $0.99$). In…

机器学习 · 统计学 2020-03-24 Ahmet Alacaoglu , Yura Malitsky , Panayotis Mertikopoulos , Volkan Cevher

In this paper, we study online convex optimization in dynamic environments, and aim to bound the dynamic regret with respect to any sequence of comparators. Existing work have shown that online gradient descent enjoys an…

机器学习 · 计算机科学 2018-10-26 Lijun Zhang , Shiyin Lu , Zhi-Hua Zhou

We consider the problem of universal dynamic regret minimization under exp-concave and smooth losses. We show that appropriately designed Strongly Adaptive algorithms achieve a dynamic regret of $\tilde O(d^2 n^{1/5} C_n^{2/5} \vee d^2)$,…

机器学习 · 计算机科学 2023-02-28 Dheeraj Baby , Yu-Xiang Wang

We provide a unified algorithmic framework for ensemble sampling in nonlinear contextual bandits and develop corresponding regret bounds for two most common nonlinear contextual bandit settings: Generalized Linear Ensemble Sampling (GLM-ES)…

机器学习 · 计算机科学 2026-05-12 Jiazheng Sun , Weixin Wang , Pan Xu

Group testing is a well known search problem that consists in detecting the defective members of a set of objects O by performing tests on properly chosen subsets (pools) of the given set O. In classical group testing the goal is to find…

数据结构与算法 · 计算机科学 2016-06-13 Annalisa De Bonis

Recently, adaptive control systems with relaxed persistent excitation (PE) conditions have been proposed to guarantee true parameter convergence and improve the transient response. However, in some cases, sufficient control performance and…

系统与控制 · 电气工程与系统科学 2025-03-03 Satoshi Tsuruhara , Kazuhisa Ito

Adaptive enrichment allows for pre-defined patient subgroups of interest to be investigated throughout the course of a clinical trial. Many trials which measure a long-term time-to-event endpoint often also routinely collect repeated…

统计方法学 · 统计学 2024-02-26 Abigail J. Burdon , Richard D. Baird , Thomas Jaki

This paper studies Difference-in-Differences (DiD) setups with repeated cross-sectional data and potential compositional changes across time periods. We begin our analysis by deriving the efficient influence function and the semiparametric…

计量经济学 · 经济学 2025-11-17 Pedro H. C. Sant'Anna , Qi Xu

Unsupervised Environment Design (UED) seeks to automatically generate training curricula for reinforcement learning (RL) agents, with the goal of improving generalisation and zero-shot performance. However, designing effective curricula…

机器学习 · 计算机科学 2026-01-22 Harry Mead , Bruno Lacerda , Jakob Foerster , Nick Hawes

This paper studies covariate adjusted estimation of the average treatment effect in stratified experiments. We work in a general framework that includes matched tuples designs, coarse stratification, and complete randomization as special…

计量经济学 · 经济学 2024-07-23 Max Cytrynbaum

Adaptive experiments are becoming increasingly popular in real-world applications for effectively maximizing in-sample welfare and efficiency by data-driven sampling. Despite their growing prevalence, however, the statistical foundations…

统计理论 · 数学 2026-04-15 Ziang Niu , Zhimei Ren

In repeated interaction problems with adaptive agents, our objective often requires anticipating and optimizing over the space of possible agent responses. We show that many problems of this form can be cast as instances of online…

机器学习 · 计算机科学 2024-06-28 William Brown , Christos Papadimitriou , Tim Roughgarden
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