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This work presents a tensor-network formulation of the Traveling Salesman Problem (TSP) and several of its variants. The approach represents candidate tours with tensor-network layers, weights them by Boltzmann factors, and enforces…

Quantum Physics · Physics 2026-05-18 Alejandro Mata Ali , Iñigo Perez Delgado , Aitor Moreno Fdez. de Leceta

Advances in Geometric Semantic Genetic Programming (GSGP) have shown that this variant of Genetic Programming (GP) reaches better results than its predecessor for supervised machine learning problems, particularly in the task of symbolic…

Neural and Evolutionary Computing · Computer Science 2018-04-19 Joao Francisco B. S. Martins , Luiz Otavio V. B. Oliveira , Luis F. Miranda , Felipe Casadei , Gisele L. Pappa

Hougardy and Schroeder (WG 2014) proposed a combinatorial technique for pruning the search space in the traveling salesman problem, establishing that, for a given instance, certain edges cannot be present in any optimal tour. We describe an…

Data Structures and Algorithms · Computer Science 2023-07-17 William Cook , Keld Helsgaun , Stefan Hougardy , Rasmus T. Schroeder

One of the problems in applying Genetic Algorithm is that there is some situation where the evolutionary process converges too fast to a solution which causes it to be trapped in local optima. To overcome this problem, a proper diversity in…

Neural and Evolutionary Computing · Computer Science 2011-09-02 Chaiwat Jassadapakorn , Prabhas Chongstitvatana

The Traveling Salesman Problem (TSP) is a classic NP-hard combinatorial optimization task with numerous practical applications. Classic heuristic solvers can attain near-optimal performance for small problem instances, but become…

Machine Learning · Computer Science 2025-08-13 Michael Li , Eric Bae , Christopher Haberland , Natasha Jaques

We revisit the traveling salesman problem with neighborhoods (TSPN) and propose several new approximation algorithms. These constitute either first approximations (for hyperplanes, lines, and balls in $\mathbb{R}^d$, for $d\geq 3$) or…

Computational Geometry · Computer Science 2015-11-26 Adrian Dumitrescu , Csaba D. Tóth

We present a genetic algorithm for the atomistic design and global optimisation of substitutionally disordered bulk materials and surfaces. Premature convergence which hamper conventional genetic algorithms due to problems with…

Materials Science · Physics 2008-09-10 Chris E. Mohn , Walter Kob

The problem of optimizing a sequence of tasks for a robot, also known as multi-point manufacturing, is a well-studied problem. Many of these solutions use a variant of the Traveling Salesman Problem (TSP) and seek to find the minimum…

Robotics · Computer Science 2022-05-06 Gavin Strunk

In this paper, we propose a hybrid model combining genetic algorithm and hill climbing algorithm for optimizing Convolutional Neural Networks (CNNs) on the CIFAR-100 dataset. The proposed model utilizes a population of chromosomes that…

Neural and Evolutionary Computing · Computer Science 2023-08-28 Krutika Sarode , Shashidhar Reddy Javaji

Quality-Diversity (QD) algorithms aim to discover diverse, high-performing solutions across behavioral niches. However, QD search often stagnates as incremental variation operators struggle to propagate building blocks across large…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Joshua Hutchinson , J. Michael Herrmann , Simón C. Smith

This study introduces an innovative crossover operator named Particle Swarm Optimization-inspired Crossover (PSOX), which is specifically developed for real-coded genetic algorithms. Departing from conventional crossover approaches that…

Neural and Evolutionary Computing · Computer Science 2025-05-07 Xiaobo Jin , JiaShu Tu

The aim of the paper is to compare different approximation algorithms for the travelling salesperson problem. We pick the most popular and widespread methods known in the literature and contrast them with a novel approach (the polygonal…

Combinatorics · Mathematics 2021-09-03 Mateusz Krukowski , Filip Turoboś

The Traveling Salesman Problem (TSP) is one of the most often-used NP-Hard problems in computer science to study the effectiveness of computing models and hardware platforms. In this regard, it is also heavily used as a vehicle to study the…

The Travelling Salesman Problem - TSP is one of the most explored problems in the scientific literature to solve real problems regarding the economy, transportation, and logistics, to cite a few cases. Adapting TSP to solve different…

Neural and Evolutionary Computing · Computer Science 2024-10-29 Carlos Alberto da Silva Junior , Roberto Yuji Tanaka , Luiz Carlos Farias da Silva , Angelo Passaro

Travelling Salesman Problem (TSP) is one of the unsolved problems in computer science. TSP is NP Hard. Till now the best approximation ratio found for symmetric TSP is three by two by Christofides Algorithm more than forty years ago. There…

Data Structures and Algorithms · Computer Science 2021-04-27 Alok Chauhan , Madhusudan Verma

The Traveling Salesman Problem (TSP) is the most popular and most studied combinatorial problem, starting with von Neumann in 1951. It has driven the discovery of several optimization techniques such as cutting planes, branch-and-bound,…

Machine Learning · Computer Science 2021-03-05 Xavier Bresson , Thomas Laurent

Computing diverse sets of high-quality solutions has gained increasing attention among the evolutionary computation community in recent years. It allows practitioners to choose from a set of high-quality alternatives. In this paper, we…

Neural and Evolutionary Computing · Computer Science 2021-04-29 Adel Nikfarjam , Jakob Bossek , Aneta Neumann , Frank Neumann

This paper examines the use of a hierarchical coevolutionary genetic algorithm under different partnering strategies. Cascading clusters of sub-populations are built from the bottom up, with higher-level sub-populations optimising larger…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Larry Bull

The Moving Target Traveling Salesman Problem (MT-TSP) seeks a trajectory that intercepts several moving targets, within a particular time window for each target. When generic nonlinear target trajectories or kinematic constraints on the…

Robotics · Computer Science 2026-03-24 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

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…

Artificial Intelligence · Computer Science 2017-01-16 Irwan Bello , Hieu Pham , Quoc V. Le , Mohammad Norouzi , Samy Bengio