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The famous Travelling Salesman Problem (TSP) is an important category of optimization problems that is mostly encountered in various areas of science and engineering. Studying optimization problems motivates to develop advanced techniques…

量子物理 · 物理学 2018-05-29 Karthik Srinivasan , Saipriya Satyajit , Bikash K. Behera , Prasanta K. Panigrahi

Imaging Inverse problems aim to reconstruct an underlying image from undersampled, coded, and noisy observations. Within the wide range of reconstruction frameworks, the unrolling algorithm is one of the most popular due to the synergistic…

图像与视频处理 · 电气工程与系统科学 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez-Rodriguez , Henry Arguello

We present novel path-slicing strategies integrated with quantum local search to optimize solutions for the Traveling Salesman Problem (TSP), addressing the limitations of current Noisy Intermediate-Scale Quantum (NISQ) technologies. Our…

量子物理 · 物理学 2024-07-19 Chen-Yu Liu , Hiromichi Matsuyama , Wei-hao Huang , Yu Yamashiro

In this paper, we provide a novel strategy for solving Traveling Salesman Problem, which is a famous combinatorial optimization problem studied intensely in the TCS community. In particular, we consider the imitation learning framework,…

机器学习 · 计算机科学 2022-10-13 Pingbang Hu

NP-hard computational problems can be efficiently recast as finding the ground state of an effective spin model. However, to date no convenient setup exists that can universally simulate all of them, even for a fixed problem size. Here we…

光学 · 物理学 2025-01-17 Wouter Verstraelen , Timothy C. H. Liew

The travelling thief problem (TTP) is a representative of multi-component optimisation problems with interacting components. TTP combines the knapsack problem (KP) and the travelling salesman problem (TSP). A thief performs a cyclic tour…

人工智能 · 计算机科学 2020-12-15 Majid Namazi , Conrad Sanderson , M. A. Hakim Newton , Abdul Sattar

The paper proposes a quantum algorithm for the traveling salesman problem (TSP) based on the Grover Adaptive Search (GAS), which can be successfully executed on IBM's Qiskit library. Under the GAS framework, there are at least two…

量子物理 · 物理学 2022-12-07 Jieao Zhu , Yihuai Gao , Hansen Wang , Tiefu Li , Hao Wu

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

数据结构与算法 · 计算机科学 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

Quantum search algorithms, such as Grover's algorithm, are anticipated to efficiently solve constrained combinatorial optimization problems. However, applying these algorithms to the traveling salesman problem (TSP) on a quantum circuit…

量子物理 · 物理学 2025-03-13 Rei Sato , Gordon Cui , Kazuhiro Saito , Hideyuki Kawashima , Tetsuro Nikuni , Shohei Watabe

In recent years, dual-arm manipulation has become an area of strong interest in robotics, with end-to-end learning emerging as the predominant strategy for solving bimanual tasks. A critical limitation of such learning-based approaches,…

机器人学 · 计算机科学 2025-11-27 Iryna Hurova , Alinjar Dan , Karl Kruusamäe , Arun Kumar Singh

As a broadly applied technique in numerous optimization problems, recently, local search has been employed to solve Pseudo-Boolean Optimization (PBO) problem. A representative local search solver for PBO is LSPBO. In this paper, firstly, we…

人工智能 · 计算机科学 2024-08-01 Zhihan Chen , Peng Lin , Hao Hu , Shaowei Cai

Long-horizon combinatorial optimization problems (COPs), such as the Flexible Job-Shop Scheduling Problem (FJSP), often involve complex, interdependent decisions over extended time frames, posing significant challenges for existing solvers.…

最优化与控制 · 数学 2025-02-25 Sirui Li , Wenbin Ouyang , Yining Ma , Cathy Wu

Developing efficient Bayesian computation algorithms for imaging inverse problems is challenging due to the dimensionality involved and because Bayesian imaging models are often not smooth. Current state-of-the-art methods often address…

统计计算 · 统计学 2023-05-04 Marcelo Pereyra , Luis A. Vargas-Mieles , Konstantinos C. Zygalakis

Hyperspectral (HS) unmixing is the process of decomposing an HS image into material-specific spectra (endmembers) and their spatial distributions (abundance maps). Existing unmixing methods have two limitations with respect to noise…

图像与视频处理 · 电气工程与系统科学 2024-03-20 Kazuki Naganuma , Shunsuke Ono

The Generalized Sliding-Tile Puzzle (GSTP), allowing many square tiles on a board to move in parallel while enforcing natural geometric collision constraints on the movement of neighboring tiles, provide a high-fidelity mathematical model…

机器人学 · 计算机科学 2024-10-22 Marcus Gozon , Jingjin Yu

The Traveling Salesman Problem (TSP) is a classical NP-hard problem that plays a crucial role in combinatorial optimization. In this paper, we are interested in the quantum search framework for the TSP because it has robust theoretical…

量子物理 · 物理学 2025-04-25 Bai Xujun , Shang Yun

Many problems in real life can be converted to combinatorial optimization problems (COPs) on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

机器学习 · 计算机科学 2019-09-17 Jing Liu , Fei Gao , Jiang Zhang

Global and block Krylov subspace methods are efficient iterative solvers for large sparse linear systems with multiple right-hand sides. However, global or block Lanczos-type solvers often exhibit large oscillations in the residual norms…

数值分析 · 数学 2022-11-16 Kensuke Aihara , Akira Imakura , Keiichi Morikuni

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

软凝聚态物质 · 物理学 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

The Quadratic Travelling Salesman Problem (QTSP) is to find a least cost Hamilton cycle in an edge-weighted graph, where costs are defined on all pairs of edges contained in the Hamilton cycle. This is a more general version than the…

离散数学 · 计算机科学 2017-09-05 Brad Woods , Abraham Punnen , Tamon Stephen