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Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

量子物理 · 物理学 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

The pooling problem has applications, e.g., in petrochemical refining, water networks, and supply chains and is widely studied in global optimization. To date, it has largely been treated deterministically, neglecting the influence of…

最优化与控制 · 数学 2019-06-19 Johannes Wiebe , Inês Cecílio , Ruth Misener

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

人工智能 · 计算机科学 2014-07-24 Deepak Kumar , A G Ramakrishnan

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

统计方法学 · 统计学 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

Cut-generating linear programs (CGLPs) play a key role as a separation oracle to produce valid inequalities for the feasible region of mixed-integer programs. When incorporated inside branch-and-bound, the cutting planes obtained from CGLPs…

最优化与控制 · 数学 2023-11-01 Atefeh Rajabalizadeh , Danial Davarnia

Designing optimisation algorithms that perform well in general requires experimentation on a range of diverse problems. Training neural networks is an optimisation task that has gained prominence with the recent successes of deep learning.…

神经与进化计算 · 计算机科学 2022-09-07 Katherine M. Malan , Christopher W. Cleghorn

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

神经与进化计算 · 计算机科学 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

Cutting planes for mixed-integer linear programs (MILPs) are typically computed in rounds by iteratively solving optimization problems, the so-called separation. Instead, we reframe the problem of finding good cutting planes as a continuous…

最优化与控制 · 数学 2023-07-10 Didier Chételat , Andrea Lodi

A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happens for instance when the constraint matrix is totally…

数据结构与算法 · 计算机科学 2009-09-29 Christoph Durr , Mathilde Hurand

Non-linear least squares solvers are used across a broad range of offline and real-time model fitting problems. Most improvements of the basic Gauss-Newton algorithm tackle convergence guarantees or leverage the sparsity of the underlying…

计算机视觉与模式识别 · 计算机科学 2020-10-22 Huu Le , Christopher Zach , Edward Rosten , Oliver J. Woodford

Predict and optimize is an increasingly popular decision-making paradigm that employs machine learning to predict unknown parameters of optimization problems. Instead of minimizing the prediction error of the parameters, it trains…

机器学习 · 计算机科学 2024-02-05 Grigorii Veviurko , Wendelin Böhmer , Mathijs de Weerdt

Current state-of-the-art quantum optimization algorithms require representing the original problem as a binary optimization problem, which is then converted into an equivalent cost Hamiltonian suitable for the quantum device. Implementing…

量子物理 · 物理学 2025-03-26 Bence Bakó , Adam Glos , Özlem Salehi , Zoltán Zimborás

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

最优化与控制 · 数学 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

It has been shown that the parallel Lattice Linear Predicate (LLP) algorithm solves many combinatorial optimization problems such as the shortest path problem, the stable marriage problem and the market clearing price problem. In this…

分布式、并行与集群计算 · 计算机科学 2021-03-11 Vijay K. Garg

Hedging in the presence of transaction costs leads to complex optimization problems. These problems typically lack closed-form solutions, and their implementation relies on numerical methods that provide hedging strategies for specific…

风险管理 · 定量金融 2013-05-30 Terje Lensberg , Klaus Reiner Schenk-Hoppé

The instantaneous power generation from a hydroelectric turbine is proportional to the product of head difference and turbine flow. The equation relating power to hydraulic variables is therefore nonlinear. Hence, optimization problems…

最优化与控制 · 数学 2018-05-04 Jorn H. Baayen , Julia Rauw , Teresa Piovesan

Building surrogate models is one common approach when we attempt to learn unknown black-box functions. Bayesian optimization provides a framework which allows us to build surrogate models based on sequential samples drawn from the function…

机器学习 · 计算机科学 2021-09-17 Hengrui Luo , James W. Demmel , Younghyun Cho , Xiaoye S. Li , Yang Liu

Product reuse and recovery is an efficient tool that helps companies to simultaneously address economic and environmental dimensions of sustainability. This paper presents a novel problem for stock management of reusable products in a…

最优化与控制 · 数学 2023-02-14 Amir Hossein Sadeghi , Erfan Amani Bani , Ali Fallahi

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

最优化与控制 · 数学 2020-07-15 Jineng Ren , Jarvis Haupt