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From clinical development of cancer therapies to investigations into partisan bias, adaptive sequential designs have become increasingly popular method for causal inference, as they offer the possibility of improved precision over their…

Methodology · Statistics 2023-10-17 Jessica Dai , Paula Gradu , Christopher Harshaw

We consider prediction with expert advice when data are generated from distributions varying arbitrarily within an unknown constraint set. This semi-adversarial setting includes (at the extremes) the classical i.i.d. setting, when the…

Machine Learning · Statistics 2022-07-25 Blair Bilodeau , Jeffrey Negrea , Daniel M. Roy

Estimation of the Average Treatment Effect (ATE) is a core problem in causal inference with strong connections to Off-Policy Evaluation in Reinforcement Learning. This paper considers the problem of adaptively selecting the treatment…

Machine Learning · Statistics 2024-11-22 Ojash Neopane , Aaditya Ramdas , Aarti Singh

We study the design of adaptive, sequential experiments for unbiased average treatment effect (ATE) estimation in the design-based potential outcomes setting. Our goal is to develop adaptive designs offering sublinear Neyman regret, meaning…

Methodology · Statistics 2025-02-25 Georgy Noarov , Riccardo Fogliato , Martin Bertran , Aaron Roth

This study investigates an asymptotically minimax optimal algorithm in the two-armed fixed-budget best-arm identification (BAI) problem. Given two treatment arms, the objective is to identify the arm with the highest expected outcome…

Machine Learning · Statistics 2025-01-23 Masahiro Kato

We consider an adaptive experiment for treatment choice and design a minimax and Bayes optimal adaptive experiment with respect to regret. Given binary treatments, the experimenter's goal is to choose the treatment with the highest expected…

Econometrics · Economics 2025-12-10 Masahiro Kato

Multi-armed bandits are widely used for sequential experimentation in clinical trials, recommendation systems, and online platforms. While regret minimization and valid inference from adaptively collected data have each been studied…

Methodology · Statistics 2026-04-28 Yu-Shiou Willy Lin , Dae Woong Ham , Iavor Bojinov

In the experimental design literature, Neyman allocation refers to the practice of allocating units into treated and control groups, potentially in unequal numbers proportional to their respective standard deviations, with the objective of…

Methodology · Statistics 2026-01-15 Jinglong Zhao

Learning optimal policies from historical data enables personalization in a wide variety of applications including healthcare, digital recommendations, and online education. The growing policy learning literature focuses on settings where…

Machine Learning · Statistics 2022-11-17 Ruohan Zhan , Zhimei Ren , Susan Athey , Zhengyuan Zhou

We study how to efficiently estimate average treatment effects (ATEs) using adaptive experiments. In adaptive experiments, experimenters sequentially assign treatments to experimental units while updating treatment assignment probabilities…

Machine Learning · Statistics 2025-02-21 Masahiro Kato , Takuya Ishihara , Junya Honda , Yusuke Narita

We study the problem of estimating the average treatment effect (ATE) in adaptive experiments where treatment can only be encouraged -- rather than directly assigned -- via a binary instrumental variable. Building on semiparametric…

Methodology · Statistics 2025-10-30 Miruna Oprescu , Brian M Cho , Nathan Kallus

Incentive design constitutes a foundational paradigm for influencing the behavior of strategic agents, wherein a system planner (principal) publicly commits to an incentive mechanism designed to align individual objectives with collective…

Optimization and Control · Mathematics 2026-04-08 Georgios Vasileiou , Lantian Zhang , Silun Zhang

We study dynamic regret minimization in non-stationary online learning, with a primary focus on follow-the-regularized-leader (FTRL) methods. FTRL is important for curved losses and for understanding adaptive optimizers such as Adam, yet…

Machine Learning · Computer Science 2026-02-10 Yan-Feng Xie , Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

Machine Learning · Computer Science 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

We consider the problem of estimating the structural function in nonparametric instrumental regression, where in the presence of an instrument W a response Y is modeled in dependence of an endogenous explanatory variable Z. The proposed…

Statistics Theory · Mathematics 2015-03-13 Jan Johannes , Maik Schwarz

Inverse probability weighting (IPW) is a general tool in survey sampling and causal inference, used both in Horvitz-Thompson estimators, which normalize by the sample size, and H\'ajek/self-normalized estimators, which normalize by the sum…

Methodology · Statistics 2021-07-13 Samir Khan , Johan Ugander

We study the problem of estimating the average treatment effect (ATE) under sequentially adaptive treatment assignment mechanisms. In contrast to classical completely randomized designs, we consider a setting in which the probability of…

Statistics Theory · Mathematics 2026-05-12 Saikat Sengupta , Koulik Khamaru , Suvrojit Ghosh , Tirthankar Dasgupta

Abernethy et al. (2011) showed that Blackwell approachability and no-regret learning are equivalent, in the sense that any algorithm that solves a specific Blackwell approachability instance can be converted to a sublinear regret algorithm…

Machine Learning · Statistics 2024-07-18 Christoph Dann , Yishay Mansour , Mehryar Mohri , Jon Schneider , Balasubramanian Sivan

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

Machine Learning · Computer Science 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

We consider the framework of non-stationary Online Convex Optimization where a learner seeks to control its dynamic regret against an arbitrary sequence of comparators. When the loss functions are strongly convex or exp-concave, we…

Machine Learning · Computer Science 2021-11-24 Dheeraj Baby , Hilaf Hasson , Yuyang Wang
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