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Sequential multi-class diagnosis, also known as multi-hypothesis testing, is a classical sequential decision problem with broad applications. However, the optimal solution remains, in general, unknown as the dynamic program suffers from the…

Information Theory · Computer Science 2020-12-07 Jue Wang

Whenever a clinician reflects on the efficacy of a sequence of treatment decisions for a patient, they may try to identify critical time steps where, had they made different decisions, the patient's health would have improved. While recent…

Machine Learning · Computer Science 2023-11-07 Stratis Tsirtsis , Manuel Gomez-Rodriguez

Precision rehabilitation offers the promise of an evidence-based approach for optimizing individual rehabilitation to improve long-term functional outcomes. Emerging techniques, including those driven by artificial intelligence, are rapidly…

Quantitative Methods · Quantitative Biology 2024-11-07 R. James Cotton , Bryant A. Seamon , Richard L. Segal , Randal D. Davis , Amrita Sahu , Michelle M. McLeod , Pablo Celnik , Sharon L. Ramey

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

Recent advances in dynamic treatment regimes (DTRs) facilitate the search for optimal treatments, which are tailored to individuals' specific needs and able to maximize their expected clinical benefits. However, existing algorithms relying…

Machine Learning · Statistics 2024-10-18 Hanwen Ye , Wenzhuo Zhou , Ruoqing Zhu , Annie Qu

One of the major concerns of targeting interventions on individuals in social welfare programs is discrimination: individualized treatments may induce disparities across sensitive attributes such as age, gender, or race. This paper…

Econometrics · Economics 2022-07-01 Davide Viviano , Jelena Bradic

An optimal dynamic treatment regime (DTR) consists of a sequence of decision rules in maximizing long-term benefits, which is applicable for chronic diseases such as HIV infection or cancer. In this paper, we develop a novel angle-based…

Methodology · Statistics 2020-01-15 Fei Xue , Yanqing Zhang , Wenzhuo Zhou , Haoda Fu , Annie Qu

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

This study investigates the problem of individualizing treatment allocations using stated preferences for treatments. If individuals know in advance how the assignment will be individualized based on their stated preferences, they may state…

Econometrics · Economics 2023-11-16 Daido Kido

I propose a framework for learning individualized policy rules in observational data settings characterized by endogenous treatment selection and the availability of an instrumental variable. I introduce encouragement rules that manipulate…

Econometrics · Economics 2026-01-21 Yan Liu

Optimal treatment rules can improve health outcomes on average by assigning a treatment associated with the most desirable outcome to each individual. Due to an unknown data generation mechanism, it is appealing to use flexible models to…

Methodology · Statistics 2023-11-21 Lingjie Shen , Gijs Geleijnse , Maurits Kaptein

This paper introduces a simple efficient learning algorithms for general sequential decision making. The algorithm combines Optimism for exploration with Maximum Likelihood Estimation for model estimation, which is thus named OMLE. We prove…

Machine Learning · Computer Science 2022-11-24 Qinghua Liu , Praneeth Netrapalli , Csaba Szepesvári , Chi Jin

For mental disorders, patients' underlying mental states are non-observed latent constructs which have to be inferred from observed multi-domain measurements such as diagnostic symptoms and patient functioning scores. Additionally,…

Machine Learning · Computer Science 2020-11-03 Yuan Chen , Donglin Zeng , Tianchen Xu , Yuanjia Wang

We study the subtlety of optimal paternalism when a utilitarian planner has the power to design a discrete choice set for a heterogeneous population with bounded rationality. We first consider the planning problem in abstraction. We show…

Econometrics · Economics 2026-01-23 Charles F. Manski , Eytan Sheshinski

Recent development in the data-driven decision science has seen great advances in individualized decision making. Given data with individual covariates, treatment assignments and outcomes, policy makers best individualized treatment rule…

Machine Learning · Statistics 2020-06-29 Weibin Mo , Zhengling Qi , Yufeng Liu

Several data-driven approaches based on information theory have been proposed for analyzing high-order interactions involving three or more components of a network system. Most of these methods are defined only in the time domain and rely…

Applications · Statistics 2025-03-18 Yuri Antonacci , Chiara Bara' , Laura Sparacino , Gorana Mijatovic , Ludovico Minati , Luca Faes

We consider conditions that allow us to find an optimal strategy for sequential decisions from a given data situation. For the case where all interventions are unconditional (atomic), identifiability has been discussed by Pearl & Robins…

Artificial Intelligence · Computer Science 2020-04-28 Philip Dawid , Vanessa Didelez

Optimal transport is a powerful framework for the efficient allocation of resources between sources and targets. However, traditional models often struggle to scale effectively in the presence of large and heterogeneous populations. In this…

Artificial Intelligence · Computer Science 2024-11-13 Navpreet Kaur , Juntao Chen , Yingdong Lu

Machine Learning models are increasingly used in businesses to detect faults and anomalies in complex systems. In this work, we take this approach a step further: beyond merely detecting anomalies, we aim to identify the optimal control…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Emilio Carrizosa , Martina Fischetti , Roshell Haaker , Juan Miguel Morales
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