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Constraint handling remains a key bottleneck in quantum combinatorial optimization. While slack-variable-based encodings are straightforward, they significantly increase qubit counts and circuit depth, challenging the scalability of quantum…

量子物理 · 物理学 2025-08-12 Monit Sharma , Hoong Chuin Lau

With the rapid advancement of quantum computing, Quantum Approximate Optimization Algorithm (QAOA) is considered as a promising candidate to demonstrate quantum supremacy, which exponentially solves a class of Quadratic Unconstrained Binary…

量子物理 · 物理学 2023-10-11 Bo Yue , Shibei Xue , Yu Pan , Min Jiang , Daoyi Dong

The escalating complexity of modern machine learning necessitates solving challenging non-convex optimization problems, particularly in high-dimensional regimes and scenarios contaminated by gross outliers. Traditional approaches, relying…

计算工程、金融与科学 · 计算机科学 2026-05-11 Kandula Eswara Sai Kumar , Parth Dhananjay Danve , Abhishek Chopra , Rut Lineswala

Quality-Diversity (QD) optimization algorithms are a well-known approach to generate large collections of diverse and high-quality solutions. However, derived from evolutionary computation, QD algorithms are population-based methods which…

神经与进化计算 · 计算机科学 2022-10-11 Bryan Lim , Maxime Allard , Luca Grillotti , Antoine Cully

In more recent years, there has been increasing research interest in exploiting the use of application specific hardware for solving optimisation problems. Examples of solvers that use specialised hardware are IBM's Quantum System One and…

神经与进化计算 · 计算机科学 2022-11-14 Mayowa Ayodele

In this note, we describe an experiment on portfolio optimization using the Quadratic Unconstrained Binary Optimization (QUBO) formulation. The dataset we use is taken from a real-world problem for which a classical solution is currently…

Optimisation plays a central role in a wide range of scientific and industrial applications, and quantum computing has been widely proposed as a means to achieve computational advantages in this domain. To date, research into the design of…

量子物理 · 物理学 2026-02-03 Stuart Ferguson , Petros Wallden

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , John Baras

Regression testing is key in verifying that software works correctly after changes. However, running the entire regression test suite can be impractical and expensive, especially for large-scale systems. Test suite optimization methods are…

量子物理 · 物理学 2025-05-01 Antonio Trovato , Martin Beseda , Dario Di Nucci

Recent studies suggest that gradient-based methods applied to relaxed box-constrained Quadratic Unconstrained Binary Optimization (QUBO) formulations can outperform classical heuristics in some large-scale regimes, often relying on heavy…

离散数学 · 计算机科学 2026-05-11 Yongliang Sun , Ismail Alkhouri , Cheng-Han Huang , Alvaro Velasquez , Susmit Jha , Rongrong Wang

Quantum Annealing (QA) was originally intended for accelerating the solution of combinatorial optimization tasks that have natural encodings as Ising models. However, recent experiments on QA hardware platforms have demonstrated that, in…

量子物理 · 物理学 2022-08-17 Jon Nelson , Marc Vuffray , Andrey Y. Lokhov , Tameem Albash , Carleton Coffrin

In this paper, we introduce three QUBO (Quadratic Unconstrained Binary Optimization) relaxations for the sparsest $k$-subgraph (SkS) problem: a quadratic penalty relaxation, a Lagrangian relaxation, and an augmented Lagrangian relaxation.…

最优化与控制 · 数学 2025-09-11 Omkar Bihani , Roman Kužel , Janez Povh , Dunja Pucher

This paper studies quantum optimization baselines for the Generalized Traveling Salesman Problem (GTSP), a clustered routing problem that naturally models variant selection and sequencing problems under discrete alternatives. We propose a…

Dynamic programming is a cornerstone of graph-based optimization. While effective, it scales unfavorably with problem size. In this work, we present QuantGraph, a two-stage quantum-enhanced framework that casts local and global…

In the era of quantum computing, the emergence of quantum computers and subsequent advancements have led to the development of various quantum algorithms capable of solving linear equations and eigenvalues, surpassing the pace of classical…

量子物理 · 物理学 2024-11-26 Hyunju Lee , Kyungtaek Jun

Portfolio optimization involves selecting asset weights to minimize a risk-reward objective, such as the portfolio variance in the classical minimum-variance framework. Sparse portfolio selection extends this by imposing a cardinality…

机器学习 · 统计学 2025-05-16 Sarat Moka , Matias Quiroz , Vali Asimit , Samuel Muller

The quantum approximate optimization algorithm (QAOA) is one of the canonical algorithms designed to find approximate solutions to combinatorial optimization problems in current noisy intermediate-scale quantum (NISQ) devices. It is an…

量子物理 · 物理学 2023-12-12 Ping Zou

In deep learning tasks, the learning rate determines the update step size in each iteration, which plays a critical role in gradient-based optimization. However, the determination of the appropriate learning rate in practice typically…

机器学习 · 统计学 2020-04-08 Yingqiu Zhu , Yu Chen , Danyang Huang , Bo Zhang , Hansheng Wang

Quantum computing holds great potential to accelerate the process of solving complex combinatorial optimization problems. The Distributed Quantum Approximate Optimization Algorithm (DQAOA) addresses high-dimensional, dense problems using…

分布式、并行与集群计算 · 计算机科学 2025-06-13 Zhihao Xu , Srikar Chundury , Seongmin Kim , Amir Shehata , Xinyi Li , Ang Li , Tengfei Luo , Frank Mueller , In-Saeng Suh

Unsupervised learning (UL)-based solvers for combinatorial optimization (CO) train a neural network that generates a soft solution by directly optimizing the CO objective using a continuous relaxation strategy. These solvers offer several…

机器学习 · 统计学 2024-11-01 Yuma Ichikawa