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This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

Optimization and Control · Mathematics 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

The utility of satisfiability (SAT) as an application focused hard computational problem is well established. We explore the potential of quantum annealing to enhance classical SAT solving, especially where sampling from the space of all…

Quantum Physics · Physics 2016-12-22 Kristen L. Pudenz , Gregory S. Tallant , Todd R. Belote , Steven H. Adachi

The classical secretary problem investigates the question of how to hire the best secretary from $n$ candidates who come in a uniformly random order. In this work we investigate a parallel generalizations of this problem introduced by…

Data Structures and Algorithms · Computer Science 2014-09-18 Xiaoming Sun , Jia Zhang , Jialin Zhang

Satisfiability filters, introduced by S. A. Weaver et al. in 2014, are a new and promising type of filters to address set membership testing. In order to construct satisfiability filters, it is necessary to find disparate solutions to hard…

Quantum Physics · Physics 2017-04-10 Marlon Azinović , Daniel Herr , Bettina Heim , Ethan Brown , Matthias Troyer

This paper studies a central planner's decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude…

Mathematical Finance · Quantitative Finance 2025-10-15 Shuoqing Deng , Xiang Yu , Jiacheng Zhang

This study combines simulated annealing with delta evaluation to solve the joint stratification and sample allocation problem. In this problem, atomic strata are partitioned into mutually exclusive and collectively exhaustive strata. Each…

Artificial Intelligence · Computer Science 2021-11-23 Mervyn O'Luing , Steven Prestwich , S. Armagan Tarim

Assigning tasks to service providers is a frequent procedure across various applications. Often the tasks arrive dynamically while the service providers remain static. Preventing task rejection caused by service provider overload is of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Yohai Trabelsi , Pan Xu , Sarit Kraus

We study the design of a decentralized two-sided matching market in which agents' search is guided by the platform. There are finitely many agent types, each with (potentially random) preferences drawn from known type-specific…

Computer Science and Game Theory · Computer Science 2021-08-19 Nicole Immorlica , Brendan Lucier , Vahideh Manshadi , Alexander Wei

Industrial sponsored search system (SSS) can be logically divided into three modules: keywords matching, ad retrieving, and ranking. During ad retrieving, the ad candidates grow exponentially. A query with high commercial value might…

The note studies the problem of selecting a good enough subset out of a finite number of alternatives under a fixed simulation budget. Our work aims to maximize the posterior probability of correctly selecting a good subset. We formulate…

Optimization and Control · Mathematics 2023-05-09 Gongbo Zhang , Bin Chen , Qing-shan Jia , Yijie Peng

Automatic matching of job offers and job candidates is a major problem for a number of organizations and job applicants that if it were successfully addressed could have a positive impact in many countries around the world. In this context,…

Other Computer Science · Computer Science 2023-05-08 Jorge Martinez-Gil , Alejandra Lorena Paoletti , Mario Pichler

In the Prophet Secretary problem, samples from a known set of probability distributions arrive one by one in a uniformly random order, and an algorithm must irrevocably pick one of the samples as soon as it arrives. The goal is to maximize…

Data Structures and Algorithms · Computer Science 2017-11-07 Yossi Azar , Ashish Chiplunkar , Haim Kaplan

Indexing of static and dynamic sets is fundamental to a large set of applications such as information retrieval and caching. Denoting the characteristic vector of the set by B, we consider the problem of encoding sets and multisets to…

Data Structures and Algorithms · Computer Science 2018-09-17 Ran Ben Basat , Seungbum Jo , Srinivasa Rao Satti , Shubham Ugare

Motivated by online platforms such as job markets, we study an agent choosing from a list of candidates, each with a hidden quality that determines match value. The agent observes only a noisy ranking of the candidates plus a binary signal…

Computer Science and Game Theory · Computer Science 2026-02-26 Kate Donahue , Nicole Immorlica , Brendan Lucier

We study the repeated optimal stopping problem, in which the same optimal stopping instance with an unknown distribution is solved repeatedly over $T$ rounds. We aim to simultaneously achieve strong per-round performance guarantees relative…

Data Structures and Algorithms · Computer Science 2026-05-18 Tsubasa Harada , Yasushi Kawase , Hanna Sumita

For typical first-order logical theories, satisfying assignments have a straightforward finite representation that can directly serve as a certificate that a given assignment satisfies the given formula. For non-linear real arithmetic…

Logic in Computer Science · Computer Science 2025-03-07 Enrico Lipparini , Stefan Ratschan

We show that the matroid secretary problem is equivalent to correlated contention resolution in the online random-order model. Specifically, the matroid secretary conjecture is true if and only if every matroid admits an online random-order…

Data Structures and Algorithms · Computer Science 2022-01-04 Shaddin Dughmi

Let us call a sequence of numbers heapable if they can be sequentially inserted to form a binary tree with the heap property, where each insertion subsequent to the first occurs at a leaf of the tree, i.e. below a previously placed number.…

Data Structures and Algorithms · Computer Science 2010-07-15 John Byers , Brent Heeringa , Michael Mitzenmacher , Georgios Zervas

We consider a generalization of the secretary problem where contracts are temporary, and for a fixed duration. This models online hiring of temporary employees, or online auctions for re-usable resources. The problem is related to the…

Data Structures and Algorithms · Computer Science 2015-07-09 Amos Fiat , Ilia Gorelik , Haim Kaplan , Slava Novgorodov

We consider the problem of sequential evaluation, in which an evaluator observes candidates in a sequence and assigns scores to these candidates in an online, irrevocable fashion. Motivated by the psychology literature that has studied…

Machine Learning · Statistics 2023-11-20 Jingyan Wang , Ashwin Pananjady