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We are interested in the setting where a seller sells sequentially arriving items, one per period, via a dynamic auction. At the beginning of each period, each buyer draws a private valuation for the item to be sold in that period and this…

Computer Science and Game Theory · Computer Science 2018-12-10 Vahab Mirrokni , Renato Paes Leme , Pingzhong Tang , Song Zuo

A treatment regime is a deterministic function that dictates personalized treatment based on patients' individual prognostic information. There is a fast-growing interest in finding optimal treatment regimes to maximize expected long-term…

Statistics Theory · Mathematics 2016-11-25 Runchao Jiang , Wenbin Lu , Rui Song , Marie Davidian

Optimal transport is a framework that facilitates the most efficient allocation of a limited amount of resources. However, the most efficient allocation scheme does not necessarily preserve the most fairness. In this paper, we establish a…

Optimization and Control · Mathematics 2021-04-01 Jason Hughes , Juntao Chen

We consider a simple sequential allocation procedure for sharing indivisible items between agents in which agents take turns to pick items. Supposing additive utilities and independence between the agents, we show that the expected utility…

Artificial Intelligence · Computer Science 2013-04-24 Thomas Kalinowski , Nina Nardoytska , Toby Walsh

In temporal ordered clustering, given a single snapshot of a dynamic network in which nodes arrive at distinct time instants, we aim at partitioning its nodes into $K$ ordered clusters $\mathcal{C}_1 \prec \cdots \prec \mathcal{C}_K$ such…

Social and Information Networks · Computer Science 2020-08-10 Krzysztof Turowski , Jithin K. Sreedharan , Wojciech Szpankowski

This paper presents the first deep reinforcement learning (DRL) framework to estimate the optimal Dynamic Treatment Regimes from observational medical data. This framework is more flexible and adaptive for high dimensional action and state…

Artificial Intelligence · Computer Science 2018-01-30 Ning Liu , Ying Liu , Brent Logan , Zhiyuan Xu , Jian Tang , Yanzhi Wang

Dynamic treatment regimes (DTRs) provide a principled framework for optimizing sequential decision-making in domains where decisions must adapt over time in response to individual trajectories, such as healthcare, education, and digital…

Machine Learning · Statistics 2026-01-30 Ruijia Zhang , Xiangyu Zhang , Zhengling Qi , Yue Wu , Yanxun Xu

In the theory of dynamic programming, an optimal policy is a policy whose lifetime value dominates that of all other policies from every possible initial condition in the state space. This raises a natural question: when does optimality…

Optimization and Control · Mathematics 2025-05-13 John Stachurski , Jingni Yang , Ziyue Yang

Motivated by the success of the serial dictatorship mechanism in social choice settings, we explore its usefulness in tackling various combinatorial optimization problems. We do so by considering an abstract model, in which a set of agents…

Computer Science and Game Theory · Computer Science 2022-09-09 Ioannis Caragiannis , Nidhi Rathi

We are witnessing an increasing use of data-driven predictive models to inform decisions. As decisions have implications for individuals and society, there is increasing pressure on decision makers to be transparent about their decision…

Sequential allocation is a simple and attractive mechanism for the allocation of indivisible goods. Agents take turns, according to a policy, to pick items. Sequential allocation is guaranteed to return an allocation which is efficient but…

Artificial Intelligence · Computer Science 2018-01-17 Haris Aziz , Thomas Kalinowski , Toby Walsh , Lirong Xia

We study fair multi-objective reinforcement learning in which an agent must learn a policy that simultaneously achieves high reward on multiple dimensions of a vector-valued reward. Motivated by the fair resource allocation literature, we…

Computer Science and Game Theory · Computer Science 2024-02-09 Zimeng Fan , Nianli Peng , Muhang Tian , Brandon Fain

Data-driven decision-making has drawn scrutiny from policy makers due to fears of potential discrimination, and a growing literature has begun to develop fair statistical techniques. However, these techniques are often specialized to one…

Statistics Theory · Mathematics 2021-01-01 Anil Aswani , Matt Olfat

We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

Optimization and Control · Mathematics 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt

A novel functional additive model is proposed which is uniquely modified and constrained to model nonlinear interactions between a treatment indicator and a potentially large number of functional and/or scalar pretreatment covariates. The…

Methodology · Statistics 2021-01-26 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

In both the fields of computer science and medicine there is very strong interest in developing personalized treatment policies for patients who have variable responses to treatments. In particular, I aim to find an optimal personalized…

Machine Learning · Computer Science 2014-07-01 Yousuf M. Soliman

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…

Methodology · Statistics 2024-04-01 Aaron L. Sarvet , Julien D. Laurendeau , Mats J. Stensrud

In recent years, automated data-driven decision-making systems have enjoyed a tremendous success in a variety of fields (e.g., to make product recommendations, or to guide the production of entertainment). More recently, these algorithms…

Machine Learning · Computer Science 2019-03-27 Sina Aghaei , Mohammad Javad Azizi , Phebe Vayanos

A dynamic treatment regimen (DTR) is a pre-specified sequence of decision rules which maps baseline or time-varying measurements on an individual to a recommended intervention or set of interventions. Sequential multiple assignment…

Methodology · Statistics 2019-10-23 Brook Luers , Min Qian , Inbal Nahum-Shani , Connie Kasari , Daniel Almirall

Finding an effective medical treatment often requires a search by trial and error. Making this search more efficient by minimizing the number of unnecessary trials could lower both costs and patient suffering. We formalize this problem as…

Machine Learning · Computer Science 2021-02-18 Samuel Håkansson , Viktor Lindblom , Omer Gottesman , Fredrik D. Johansson
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