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Current gate-based quantum computers have the potential to provide a computational advantage if algorithms use quantum hardware efficiently. To make combinatorial optimization more efficient, we introduce the Filtering Variational Quantum…

A novel class of hybrid quantum-classical algorithms based on the variational approach have recently emerged from separate proposals addressing, for example, quantum chemistry and combinatorial problems. These algorithms provide an…

量子物理 · 物理学 2017-01-09 Gian Giacomo Guerreschi , Mikhail Smelyanskiy

This paper presents a framework to tackle combinatorial optimization problems using neural networks and reinforcement learning. We focus on the traveling salesman problem (TSP) and train a recurrent network that, given a set of city…

人工智能 · 计算机科学 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

计算机科学与博弈论 · 计算机科学 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

This paper aims to implement and evaluate the performance of quantum computing on solving combinatorial optimization problems arising from the operations of the power grid. To this end, we construct a novel mixed integer conic programming…

系统与控制 · 电气工程与系统科学 2022-08-17 Phuong Ngo , Christan Thomas , Hieu Nguyen , Abdullah Eroglu , Konstantinos Oikonomou

Understanding football tactics is crucial for managers and analysts. Previous research has proposed models based on spatial and kinematic equations, but these are computationally expensive. Also, Reinforcement learning approaches use player…

人工智能 · 计算机科学 2025-06-23 Kenjiro Ide , Taiga Someya , Kohei Kawaguchi , Keisuke Fujii

The advent of quantum computing processors with possibility to scale beyond experimental capacities magnifies the importance of studying their applications. Combinatorial optimization problems can be one of the promising applications of…

量子物理 · 物理学 2017-08-18 Ehsan Zahedinejad , Arman Zaribafiyan

Numerous combinatorial optimization problems (knapsack, maximum-weight matching, etc.) can be expressed as \emph{subset maximization problems}: One is given a ground set $N=\{1,\dots,n\}$, a collection $\mathcal{F}\subseteq 2^N$ of subsets…

数据结构与算法 · 计算机科学 2019-05-13 Evripidis Bampis , Bruno Escoffier , Kevin Schewior , Alexandre Teiller

Scouting is a major part of talent acquisition for any professional sports team. In the National Hockey League (NHL), the market for scouting is set by the NHLs Central Scouting Service which develops a ranking of draft eligible players. In…

应用统计 · 统计学 2014-11-24 Michael Schuckers , Steve Argeris

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We characterize exact, and approximate, optimality of games that players can interact with using quantum strategies. In comparison to a previous work of the author, arXiv: 2311.12887, which applied a 2016 framework due to Ostrev for…

量子物理 · 物理学 2025-06-27 Pete Rigas

When facing a heavily-favored opponent, an underdog must be willing to assume greater-than-average risk. In statistical language, one would say that an underdog must be willing to adopt a strategy whose outcome has a larger-than-average…

物理与社会 · 物理学 2011-11-04 Brian Skinner

In this paper I investigate several offline and online data transfer scheduling problems and propose efficient algorithms and techniques for addressing them. In the offline case, I present a novel, heuristic, algorithm for scheduling files…

数据结构与算法 · 计算机科学 2012-12-21 Mugurel Ionut Andreica

We present a quantum algorithm for combinatorial optimization using the cost structure of the search states. Its behavior is illustrated for overconstrained satisfiability and asymmetric traveling salesman problems. Simulations with…

量子物理 · 物理学 2007-05-23 Tad Hogg , Dmitriy Portnov

Computationally intractable tasks are often encountered in physics and optimization. Such tasks often comprise a cost function to be optimized over a so-called feasible set, which is specified by a set of constraints. This may yield, in…

量子物理 · 物理学 2023-04-25 Borja Requena , Gorka Muñoz-Gil , Maciej Lewenstein , Vedran Dunjko , Jordi Tura

The potential analysis of the capabilities of quantum computing, especially before fault tolerance at scale, is difficult due to the variety of existing hardware technologies with a wide spread of maturity. Not only the result of…

量子物理 · 物理学 2025-07-23 Amine Bentellis , Benedikt Poggel , Jeanette Miriam Lorenz

Organizations (e.g., talent investment programs, schools, firms) are perennially interested in selecting cohorts of talented people. And organizations are increasingly interested in selecting diverse cohorts. Except in trivial cases,…

计算机与社会 · 计算机科学 2025-10-08 Neil Natarajan , Kadeem Noray

Financial market prediction and optimal trading strategy development remain challenging due to market complexity and volatility. Our research in quantum finance and reinforcement learning for decision-making demonstrates the approach of…

The performance of football players in English Premier League varies largely from season to season and for different teams. It is evident that a method capable of forecasting and analyzing the future of these players on-field antics shall…

计算机与社会 · 计算机科学 2019-10-01 Akhil Gupta

Combinatorial optimization problems are ubiquitous in industry. In addition to finding a solution with minimum cost, problems of high relevance involve a number of constraints that the solution must satisfy. Variational quantum algorithms…