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We study the Travelling Salesman Problem (TSP) on the metric completion of cubic and subcubic graphs, which is known to be NP-hard. The problem is of interest because of its relation to the famous 4/3 conjecture for metric TSP, which says…

数据结构与算法 · 计算机科学 2011-07-07 Sylvia Boyd , René Sitters , Suzanne van der Ster , Leen Stougie

Several important optimization problems in the area of vehicle routing can be seen as a variant of the classical Traveling Salesperson Problem (TSP). In the area of evolutionary computation, the traveling thief problem (TTP) has gained…

神经与进化计算 · 计算机科学 2020-02-05 Jakob Bossek , Katrin Casel , Pascal Kerschke , Frank Neumann

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…

神经与进化计算 · 计算机科学 2024-10-29 Carlos Alberto da Silva Junior , Roberto Yuji Tanaka , Luiz Carlos Farias da Silva , Angelo Passaro

We present a trajectory optimization algorithm for the traveling salesman problem (TSP) in graphs of convex sets (GCS). Our framework uses an augmented graph of convex sets to encode the TSP specification and solve it exactly as a shortest…

系统与控制 · 电气工程与系统科学 2026-04-09 Gael Luna , Tyler Summers

In this paper, we will propose convex layers to the Traveling Salesman Problem (TSP). Firstly, we will focus on human performance on the TSP. Experimental data shows that untrained humans appear to have the ability to perform well in the…

其他计算机科学 · 计算机科学 2012-04-12 Sing Liew

In this paper we present a variational algorithm for the Traveling Salesman Problem (TSP) that combines (i) a compact encoding of permutations, which reduces the qubit requirement too, (ii) an optimize-freeze-reuse strategy: where the…

人工智能 · 计算机科学 2025-10-29 Fabrizio Fagiolo , Nicolò Vescera

A fundamental variant of the classical traveling salesman problem (TSP) is the so-called multiple TSP (mTSP), where a set of $m$ salesmen jointly visit all cities from a set of $n$ cities. The mTSP models many important real-life…

离散数学 · 计算机科学 2022-01-07 Kristóf Bérczi , Matthias Mnich , Roland Vincze

Non-autoregressive neural machine translation (NAT) models are proposed to accelerate the inference process while maintaining relatively high performance. However, existing NAT models are difficult to achieve the desired efficiency-quality…

计算与语言 · 计算机科学 2023-03-15 Pei Guo , Yisheng Xiao , Juntao Li , Min Zhang

This paper presents the use of non-autoregressive (NAR) approaches for joint automatic speech recognition (ASR) and spoken language understanding (SLU) tasks. The proposed NAR systems employ a Conformer encoder that applies connectionist…

音频与语音处理 · 电气工程与系统科学 2023-04-24 Mohan Li , Rama Doddipatla

The Generalized Traveling Salesman Problem (GTSP) is a well-known combinatorial optimization problem with a host of applications. It is an extension of the Traveling Salesman Problem (TSP) where the set of cities is partitioned into…

数据结构与算法 · 计算机科学 2012-02-15 Daniel Karapetyan , Gregory Gutin

Transformers have recently dominated the ASR field. Although able to yield good performance, they involve an autoregressive (AR) decoder to generate tokens one by one, which is computationally inefficient. To speed up inference,…

声音 · 计算机科学 2023-03-31 Zhifu Gao , Shiliang Zhang , Ian McLoughlin , Zhijie Yan

Most of the recent studies tackling routing problems like the Traveling Salesman Problem (TSP) with machine learning use a transformer or Graph Neural Network (GNN) based encoder architecture. However, many of them apply these encoders…

机器学习 · 计算机科学 2024-03-28 Attila Lischka , Jiaming Wu , Rafael Basso , Morteza Haghir Chehreghani , Balázs Kulcsár

Non-autoregressive (NAR) machine translation has recently achieved significant improvements, and now outperforms autoregressive (AR) models on some benchmarks, providing an efficient alternative to AR inference. However, while AR…

计算与语言 · 计算机科学 2021-12-17 Sweta Agrawal , Julia Kreutzer , Colin Cherry

The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods…

量子物理 · 物理学 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee

The Travelling Salesman Problem (TSP) is one of the most famous optimization problems. The Genetic Algorithm (GA) is one of metaheuristics that have been applied to TSP. The Crossover and mutation operators are two important elements of GA.…

神经与进化计算 · 计算机科学 2015-04-13 Hassan Ismkhan , Kamran Zamanifar

The traveling salesman problem (TSP) is one of the most prominent combinatorial optimization problems. Given a complete graph G = (V, E) and non-negative distances d for every edge, the TSP asks for a shortest tour through all vertices with…

最优化与控制 · 数学 2021-09-30 Ulrich Pferschy , Rostislav Stanek

Traveling Salesman Problem (TSP) is a decision-making problem that is essential for a number of practical applications. Today, this problem is solved on digital computers exploiting Boolean-type architecture by checking one by one a number…

无序系统与神经网络 · 物理学 2023-02-13 Mykhaylo Balinskiy , Alexander Khitun

Non-autoregressive translation (NAT) models, which remove the dependence on previous target tokens from the inputs of the decoder, achieve significantly inference speedup but at the cost of inferior accuracy compared to autoregressive…

计算与语言 · 计算机科学 2018-12-27 Junliang Guo , Xu Tan , Di He , Tao Qin , Linli Xu , Tie-Yan Liu

The Traveling Salesperson Problem (TSP), a quintessential NP-hard combinatorial optimisation challenge, is vital for logistics and network design but limited by exponential complexity in large instances. We propose a hybrid…

量子物理 · 物理学 2025-10-01 Christos Lytrosyngounis , Ioannis Lytrosyngounis

In the landscape of Recommender System (RS) applications, reinforcement learning (RL) has recently emerged as a powerful tool, primarily due to its proficiency in optimizing long-term rewards. Nevertheless, it suffers from instability in…

信息检索 · 计算机科学 2024-06-11 Ziru Liu , Shuchang Liu , Zijian Zhang , Qingpeng Cai , Xiangyu Zhao , Kesen Zhao , Lantao Hu , Peng Jiang , Kun Gai