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The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem that aims to find the shortest possible route that visits each city exactly once and returns to the starting point. This paper explores the application…

Neural and Evolutionary Computing · Computer Science 2025-01-28 Kael Silva Araújo , Francisco Márcio Barboza

The Traveling Salesman Problem (TSP) is a fundamental challenge in combinatorial optimization, widely applied in logistics and transportation. As the size of TSP instances grows, traditional algorithms often struggle to produce high-quality…

The Traveling Salesman Problem (often called TSP) is a classic algorithmic problem in the field of computer science and operations research. It is an NP-Hard problem focused on optimization. TSP has several applications even in its purest…

Data Structures and Algorithms · Computer Science 2022-05-31 Amey Gohil , Manan Tayal , Tezan Sahu , Vyankatesh Sawalpurkar

This paper presents a novel learning-based trajectory planning framework for quadrotors that combines model-based optimization techniques with deep learning. Specifically, we formulate the trajectory optimization problem as a quadratic…

Robotics · Computer Science 2023-12-05 Yuwei Wu , Xiatao Sun , Igor Spasojevic , Vijay Kumar

Many machine learning models, such as logistic regression~(LR) and support vector machine~(SVM), can be formulated as composite optimization problems. Recently, many distributed stochastic optimization~(DSO) methods have been proposed to…

Machine Learning · Statistics 2016-12-13 Shen-Yi Zhao , Ru Xiang , Ying-Hao Shi , Peng Gao , Wu-Jun Li

Using machine learning to solve combinatorial optimization (CO) problems is challenging, especially when the data is unlabeled. This work proposes an unsupervised learning framework for CO problems. Our framework follows a standard…

Machine Learning · Computer Science 2022-10-25 Haoyu Wang , Nan Wu , Hang Yang , Cong Hao , Pan Li

Neural combinatorial optimization (NCO) is a promising learning-based approach for solving challenging combinatorial optimization problems without specialized algorithm design by experts. However, most constructive NCO methods cannot solve…

Machine Learning · Computer Science 2024-01-17 Fu Luo , Xi Lin , Fei Liu , Qingfu Zhang , Zhenkun Wang

A general framework of unsupervised learning for combinatorial optimization (CO) is to train a neural network (NN) whose output gives a problem solution by directly optimizing the CO objective. Albeit with some advantages over traditional…

Machine Learning · Computer Science 2023-01-24 Haoyu Wang , Pan Li

Relevant combinatorial optimization problems (COPs) are often NP-hard. While they have been tackled mainly via handcrafted heuristics in the past, advances in neural networks have motivated the development of general methods to learn…

Machine Learning · Computer Science 2025-09-05 Tim Dernedde , Daniela Thyssens , Sören Dittrich , Maximilian Stubbemann , Lars Schmidt-Thieme

Combinatorial optimization problems involving multiple agents are notoriously challenging due to their NP-hard nature and the necessity for effective agent coordination. Despite advancements in learning-based methods, existing approaches…

Multiagent Systems · Computer Science 2025-10-23 Federico Berto , Chuanbo Hua , Laurin Luttmann , Jiwoo Son , Junyoung Park , Kyuree Ahn , Changhyun Kwon , Lin Xie , Jinkyoo Park

This paper proposes DisCo, an automatic deep learning compilation module for data-parallel distributed training. Unlike most deep learning compilers that focus on training or inference on a single device, DisCo optimizes a DNN model for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Xiaodong Yi , Shiwei Zhang , Lansong Diao , Chuan Wu , Zhen Zheng , Shiqing Fan , Siyu Wang , Jun Yang , Wei Lin

Network Slicing (NS) is crucial for efficiently enabling divergent network applications in next generation networks. Nonetheless, the complex Quality of Service (QoS) requirements and diverse heterogeneity in network services entails high…

Networking and Internet Architecture · Computer Science 2022-08-16 Chien-Cheng Wu , Vasilis Friderikos , Cedomir Stefanovic

Many robotics problems, from robot motion planning to object manipulation, can be modeled as mixed-integer convex programs (MICPs). However, state-of-the-art algorithms are still unable to solve MICPs for control problems quickly enough for…

Robotics · Computer Science 2021-07-20 A. Cauligi , P. Culbertson , E. Schmerling , M. Schwager , B. Stellato , M. Pavone

We introduce DyCO-GNN, a novel unsupervised learning framework for Dynamic Combinatorial Optimization that requires no training data beyond the problem instance itself. DyCO-GNN leverages structural similarities across time-evolving graph…

Machine Learning · Computer Science 2026-01-30 Yiqiao Liao , Farinaz Koushanfar , Parinaz Naghizadeh

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

Combinatorial Optimization (CO) encompasses a wide range of problems that arise in many real-world scenarios. While significant progress has been made in developing learning-based methods for specialized CO problems, a unified model with a…

Machine Learning · Computer Science 2025-05-13 Zefang Zong , Xiaochen Wei , Guozhen Zhang , Chen Gao , Huandong Wang , Yong Li

PDE-Constrained Optimization (PDECO) problems can be accelerated significantly by employing gradient-based methods with surrogate models like neural operators compared to traditional numerical solvers. However, this approach faces two key…

Machine Learning · Computer Science 2025-06-17 Ze Cheng , Zhuoyu Li , Xiaoqiang Wang , Jianing Huang , Zhizhou Zhang , Zhongkai Hao , Hang Su

Deep neural networks based on reinforcement learning (RL) for solving combinatorial optimization (CO) problems are developing rapidly and have shown a tendency to approach or even outperform traditional solvers. However, existing methods…

Machine Learning · Computer Science 2024-05-24 Chaoyang Wang , Pengzhi Cheng , Jingze Li , Weiwei Sun

In distributed optimization, the practical problem-solving performance is essentially sensitive to algorithm selection, parameter setting, problem type and data pattern. Thus, it is often laborious to acquire a highly efficient method for a…

Optimization and Control · Mathematics 2024-01-04 Daokuan Zhu , Tianqi Xu , Jie Lu

Nowadays swarm intelligence-based algorithms are being used widely to optimize the dynamic traveling salesman problem (DTSP). In this paper, we have used mixed method of Ant Colony Optimization (AOC)and gradient descent to optimize DTSP…

Neural and Evolutionary Computing · Computer Science 2013-07-30 Farhad Soleimanian Gharehchopogh , Isa Maleki , Seyyed Reza Khaze