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This paper deals with optimal policy learning (OPL) with observational data, i.e. data-driven optimal decision-making, in multi-action (or multi-arm) settings, where a finite set of decision options is available. It is organized in three…

Machine Learning · Statistics 2024-04-01 Giovanni Cerulli

We study the estimation of distributional treatment effects in randomized experiments with imperfect compliance. When participants do not adhere to their assigned treatments, we leverage treatment assignment as an instrumental variable to…

Methodology · Statistics 2025-10-28 Undral Byambadalai , Tomu Hirata , Tatsushi Oka , Shota Yasui

The unit selection problem aims to identify a set of individuals who are most likely to exhibit a desired mode of behavior, for example, selecting individuals who would respond one way if encouraged and a different way if not encouraged.…

Artificial Intelligence · Computer Science 2021-09-17 Ang Li , Judea Pearl

This article improves the existing proven rates of regret decay in optimal policy estimation. We give a margin-free result showing that the regret decay for estimating a within-class optimal policy is second-order for empirical risk…

Statistics Theory · Mathematics 2017-04-24 Alexander Luedtke , Antoine Chambaz

Estimating treatment effects from observational data is of central interest across numerous application domains. Individual treatment effect offers the most granular measure of treatment effect on an individual level, and is the most useful…

Machine Learning · Statistics 2024-08-06 Hengrui Cai , Huaqing Jin , Lexin Li

We study the design of multi-armed parallel group clinical trials to estimate personalized treatment rules that identify the best treatment for a given patient with given covariates. Assuming that the outcomes in each treatment arm are…

Statistics Theory · Mathematics 2022-07-13 David Azriel , Yosef Rinott , Martin Posch

The problem of minimizing convex functionals of probability distributions is solved under the assumption that the density of every distribution is bounded from above and below. A system of sufficient and necessary first-order optimality…

Information Theory · Computer Science 2018-12-05 Michael Fauss , Abdelhak M. Zoubir

Data-driven optimization aims to translate a machine learning model into decision-making by optimizing decisions on estimated costs. Such a pipeline can be conducted by fitting a distributional model which is then plugged into the target…

Machine Learning · Computer Science 2025-03-17 Adam N. Elmachtoub , Henry Lam , Haixiang Lan , Haofeng Zhang

Many policy problems involve designing individualized treatment allocation rules to maximize the equilibrium social welfare of interacting agents. Focusing on large-scale simultaneous decision games with strategic complementarities, we…

Econometrics · Economics 2024-11-12 Guanyi Wang

Tie-breaker designs trade off a statistical design objective with short-term gain from preferentially assigning a binary treatment to those with high values of a running variable $x$. The design objective is any continuous function of the…

Methodology · Statistics 2022-10-20 Harrison H. Li , Art B. Owen

Empirical researchers and decision-makers spanning various domains frequently seek profound insights into the long-term impacts of interventions. While the significance of long-term outcomes is undeniable, an overemphasis on them may…

Machine Learning · Computer Science 2024-09-17 Peng Wu , Ziyu Shen , Feng Xie , Zhongyao Wang , Chunchen Liu , Yan Zeng

Agents that learn to select optimal actions represent a prominent focus of the sequential decision-making literature. In the face of a complex environment or constraints on time and resources, however, aiming to synthesize such an optimal…

Machine Learning · Computer Science 2021-06-23 Dilip Arumugam , Benjamin Van Roy

A/B testing is critical for modern technological companies to evaluate the effectiveness of newly developed products against standard baselines. This paper studies optimal designs that aim to maximize the amount of information obtained from…

Methodology · Statistics 2023-11-07 Ting Li , Chengchun Shi , Jianing Wang , Fan Zhou , Hongtu Zhu

Understanding the impact of the most effective policies or treatments on a response variable of interest is desirable in many empirical works in economics, statistics and other disciplines. Due to the widespread winner's curse phenomenon,…

Methodology · Statistics 2022-10-25 Waverly Wei , Yuqing Zhou , Zeyu Zheng , Jingshen Wang

Efficiently allocating treatments with a budget constraint constitutes an important challenge across various domains. In marketing, for example, the use of promotions to target potential customers and boost conversions is limited by the…

Machine Learning · Computer Science 2024-05-06 Toon Vanderschueren , Wouter Verbeke , Felipe Moraes , Hugo Manuel Proença

We consider the online distributed non-stochastic experts problem, where the distributed system consists of one coordinator node that is connected to $k$ sites, and the sites are required to communicate with each other via the coordinator.…

Machine Learning · Computer Science 2012-11-15 Varun Kanade , Zhenming Liu , Bozidar Radunovic

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

Methodology · Statistics 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

This study investigates the contextual best arm identification (BAI) problem, aiming to design an adaptive experiment to identify the best treatment arm conditioned on contextual information (covariates). We consider a decision-maker who…

Machine Learning · Computer Science 2025-06-23 Masahiro Kato , Kyohei Okumura , Takuya Ishihara , Toru Kitagawa

This paper investigates the regret associated with the Distributionally Robust Control (DRC) strategies used to address multistage optimization problems where the involved probability distributions are not known exactly, but rather are…

Optimization and Control · Mathematics 2022-12-02 Venkatraman Renganathan , Dongjun Wu

We address the problem of learning a decision policy from observational data of past decisions in contexts with features and associated outcomes. The past policy maybe unknown and in safety-critical applications, such as medical decision…

Machine Learning · Computer Science 2020-06-04 Muhammad Osama , Dave Zachariah , Peter Stoica