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We consider a variant of bin packing called multiple-choice vector bin packing. In this problem we are given a set of items, where each item can be selected in one of several $D$-dimensional incarnations. We are also given $T$ bin types,…

Data Structures and Algorithms · Computer Science 2015-05-14 Boaz Patt-Shamir , Dror Rawitz

Crowdsourcing provides a popular paradigm for data collection at scale. We study the problem of selecting subsets of workers from a given worker pool to maximize the accuracy under a budget constraint. One natural question is whether we…

Machine Learning · Statistics 2015-02-04 Hongwei Li , Qiang Liu

Quadratic multiple knapsack problem (QMKP) is a combinatorial optimisation problem characterised by multiple weight capacity constraints and a profit function that combines linear and quadratic profits. We study a stochastic variant of this…

Neural and Evolutionary Computing · Computer Science 2025-11-05 Kokila Kasuni Perera , Aneta Neumann

The Set-union Knapsack Problem (SUKP) is a generalization of the popular 0-1 knapsack problem. Given a set of weighted elements and a set of items with profits where each item is composed of a subset of elements, the SUKP involves packing a…

Artificial Intelligence · Computer Science 2019-03-14 Zequn Wei , Jin-Kao Hao

With the rapid development of crowdsourcing platforms that aggregate the intelligence of Internet workers, crowdsourcing has been widely utilized to address problems that require human cognitive abilities. Considering great dynamics of…

Databases · Computer Science 2018-06-05 Jiayang Tu , Peng Cheng , Lei Chen

A common economic process is crowdsearch, wherein a group of agents is invited to search for a valuable physical or virtual object, e.g. creating and patenting an invention, solving an open scientific problem, or identifying vulnerabilities…

Theoretical Economics · Economics 2023-11-16 Hans Gersbach , Akaki Mamageishvili , Fikri Pitsuwan

This paper presents a model for a vehicle routing problem in which customer demands are stochastic and vehicles are divided into compartments. The problem is motivated by the needs of certain agricultural cooperatives that produce various…

Optimization and Control · Mathematics 2024-10-24 Juan Carlos Gonçalves-Dosantos , Laura Davila-Pena , Balbina Casas-Méndez

To date, research in quantum computation promises potential for outperforming classical heuristics in combinatorial optimization. However, when aiming at provable optimality, one has to rely on classical exact methods like integer…

Quantum Physics · Physics 2025-03-13 Friedrich Wagner , Jonas Nüßlein , Frauke Liers

Workers participating in a crowdsourcing platform can have a wide range of abilities and interests. An important problem in crowdsourcing is the task recommendation problem, in which tasks that best match a particular worker's preferences…

Human-Computer Interaction · Computer Science 2018-07-30 Qiyu Kang , Wee Peng Tay

Submodular maximization has been the backbone of many important machine-learning problems, and has applications to viral marketing, diversification, sensor placement, and more. However, the study of maximizing submodular functions has…

Data Structures and Algorithms · Computer Science 2022-05-02 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

Collective decision-making is the process through which diverse stakeholders reach a joint decision. Within societal settings, one example is participatory budgeting, where constituents decide on the funding of public projects. How to most…

Theoretical Economics · Economics 2024-09-23 Yurun Ge , Lucas Böttcher , Tom Chou , Maria R. D'Orsogna

In this paper we propose primal-dual algorithms for different variants of the online resource allocation problem with departures. In the basic variant, requests (items) arrive over time to a set of resources (knapsacks) and upon arrival,…

Data Structures and Algorithms · Computer Science 2025-10-07 Yusuf Amidu , Khaled Elbassioni , Adriana F. Gabor

Many real-world functions are defined over both categorical and category-specific continuous variables and thus cannot be optimized by traditional Bayesian optimization (BO) methods. To optimize such functions, we propose a new method that…

Machine Learning · Computer Science 2019-12-02 Dang Nguyen , Sunil Gupta , Santu Rana , Alistair Shilton , Svetha Venkatesh

We consider AC electrical systems where each electrical device has a power demand expressed as a complex number, and there is a limit on the magnitude of total power supply. Motivated by this scenario, we introduce the complex-demand…

Data Structures and Algorithms · Computer Science 2014-01-28 Lan Yu , Chi-Kin Chau

Packing problems constitute an important class of optimization problems, both because of their high practical relevance and theoretical appeal. However, despite the large number of variants that have been studied in the literature, most…

Data Structures and Algorithms · Computer Science 2020-12-09 Guido Schäfer , Bernard G. Zweers

This paper studies the sample complexity (aka number of comparisons) bounds for the active best-$k$ items selection from pairwise comparisons. From a given set of items, the learner can make pairwise comparisons on every pair of items, and…

Machine Learning · Computer Science 2021-08-02 Wenbo Ren , Jia Liu , Ness B. Shroff

Constrained submodular function maximization has been used in subset selection problems such as selection of most informative sensor locations. While these models have been quite popular, the solutions Constrained submodular function…

Data Structures and Algorithms · Computer Science 2020-10-15 Alfredo Torrico , Mohit Singh , Sebastian Pokutta , Nika Haghtalab , Joseph , Naor , Nima Anari

We study a wholesale supply chain ordering problem. In this problem, the supplier has an initial stock, and faces an unpredictable stream of incoming orders, making real-time decisions on whether to accept or reject each order. What makes…

Data Structures and Algorithms · Computer Science 2025-04-08 Will Ma , David Simchi-Levi , Jinglong Zhao

An unconstrained nonlinear binary optimization problem of selecting a maximum expected value subset of items is considered. Each item is associated with a profit and probability. Each of the items succeeds or fails independently with the…

Computational Complexity · Computer Science 2017-06-23 Noam Goldberg , Gabor Rudolf