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Under non-exponential discounting, we develop a dynamic theory for stopping problems in continuous time. Our framework covers discount functions that induce decreasing impatience. Due to the inherent time inconsistency, we look for…

Optimization and Control · Mathematics 2017-03-13 Yu-Jui Huang , Adrien Nguyen-Huu

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

Modeling user sequential behaviors has recently attracted increasing attention in the recommendation domain. Existing methods mostly assume coherent preference in the same sequence. However, user personalities are volatile and easily…

Information Retrieval · Computer Science 2022-04-01 Weiqi Shao , Xu Chen , Long Xia , Jiashu Zhao , Dawei Yin

Given a malfunctioning system, sequential diagnosis aims at identifying the root cause of the failure in terms of abnormally behaving system components. As initial system observations usually do not suffice to deterministically pin down…

Artificial Intelligence · Computer Science 2022-08-08 Patrick Rodler , Wolfgang Schmid

The Distributed Constraint Optimization Problem (DCOP) formulation is a powerful tool to model cooperative multi-agent problems that need to be solved distributively. A core assumption of existing approaches is that DCOP solutions can be…

Artificial Intelligence · Computer Science 2025-02-21 Ben Rachmut , Stylianos Loukas Vasileiou , Nimrod Meir Weinstein , Roie Zivan , William Yeoh

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

Machine Learning · Computer Science 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

A framework is introduced for actively and adaptively solving a sequence of machine learning problems, which are changing in bounded manner from one time step to the next. An algorithm is developed that actively queries the labels of the…

Machine Learning · Computer Science 2018-05-31 Yuheng Bu , Jiaxun Lu , Venugopal V. Veeravalli

The goal of sequential event prediction is to estimate the next event based on a sequence of historical events, with applications to sequential recommendation, user behavior analysis and clinical treatment. In practice, the next-event…

Machine Learning · Computer Science 2023-01-18 Chenxiao Yang , Qitian Wu , Qingsong Wen , Zhiqiang Zhou , Liang Sun , Junchi Yan

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

Empirical research often cites observed choice responses to variation that shifts expected discounted future utilities, but not current utilities, as an intuitive source of information on time preferences. We study the identification of…

Econometrics · Economics 2020-05-28 Jaap H. Abbring , Øystein Daljord

The dynamic vehicle dispatching problem corresponds to deciding which vehicles to assign to requests that arise stochastically over time and space. It emerges in diverse areas, such as in the assignment of trucks to loads to be transported;…

Artificial Intelligence · Computer Science 2023-07-17 Edyvalberty Alenquer Cordeiro , Anselmo Ramalho Pitombeira-Neto

We introduce an information order on experiments based on weighted garbling, a generalization of the standard notion of garbling. In this order, an experiment is more informative than another if the latter is a weighted garbling of the…

Theoretical Economics · Economics 2026-03-12 Daehyun Kim , Ichiro Obara

When information acquisition is costly but flexible, a principal may rationally acquire information that favors one group over another. The former group faces incentives to invest in becoming productive, while the latter is discouraged from…

Theoretical Economics · Economics 2024-09-10 Federico Echenique , Anqi Li

We propose a dynamic allocation procedure that increases power and efficiency when measuring an average treatment effect in sequential randomized trials. Subjects arrive iteratively and are either randomized or paired via a matching…

Methodology · Statistics 2013-05-23 Adam Kapelner , Abba Krieger

Studying systems where many individual bodies in motion interact with one another is a complex and interesting area. Simple mechanisms that may be determined for biological, chemical, or physical reasons can lead to astonishingly complex…

Quantitative Methods · Quantitative Biology 2023-01-03 Cameron McNamee , Renee Reijo Pera

Causal structure learning is a key problem in many domains. Causal structures can be learnt by performing experiments on the system of interest. We address the largely unexplored problem of designing a batch of experiments that each…

Machine Learning · Computer Science 2021-11-25 Scott Sussex , Andreas Krause , Caroline Uhler

A classic trade-off that school districts face when deciding which matching algorithm to use is that it is not possible to always respect both priorities and preferences. The student-proposing deferred acceptance algorithm (DA) respects…

Theoretical Economics · Economics 2024-09-20 Estelle Cantillon , Li Chen , Juan S. Pereyra

The concept of decomposition in computer science and engineering is considered a fundamental component of computational thinking and is prevalent in design of algorithms, software construction, hardware design, and more. We propose a simple…

Logic in Computer Science · Computer Science 2023-06-22 Dror Fried , Axel Legay , Joël Ouaknine , Moshe Y. Vardi

When decision makers evaluate a sequence of rewards, they may pay more attention to larger rewards and, given attention is limited, less attention to smaller rewards. They may also become less attentive to each reward when attention is…

Theoretical Economics · Economics 2025-05-20 Zijian Zark Wang

In this paper, we discuss a stochastic decision problem of optimally selecting the order in which to try $n$ opportunities that may yield an uncertain reward in the future. The motivation came out from pure curiosity, after an informal…

Computer Science and Game Theory · Computer Science 2016-09-27 Giuseppe C. Calafiore