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This paper introduces a new deep learning approach to approximately solve the Covering Salesman Problem (CSP). In this approach, given the city locations of a CSP as input, a deep neural network model is designed to directly output the…

Neural and Evolutionary Computing · Computer Science 2021-09-15 Kaiwen Li , Tao Zhang , Rui Wang Yuheng Wang , Yi Han

We consider an Intelligent Reflecting Surface (IRS)-aided multiple-input single-output (MISO) system for downlink transmission. We compare the performance of Deep Reinforcement Learning (DRL) and conventional optimization methods in finding…

Machine Learning · Computer Science 2021-07-27 Amal Feriani , Amine Mezghani , Ekram Hossain

Combinatorial optimization problems like the Traveling Salesman Problem are critical in industry yet NP-hard. Neural Combinatorial Optimization has shown promise, but its reliance on online reinforcement learning (RL) hampers deployment and…

Machine Learning · Computer Science 2026-03-27 Hironori Ohigashi , Shinichiro Hamada

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

In this paper we present an end-to-end framework for addressing the problem of dynamic pricing (DP) on E-commerce platform using methods based on deep reinforcement learning (DRL). By using four groups of different business data to…

Machine Learning · Computer Science 2021-09-01 Jiaxi Liu , Yidong Zhang , Xiaoqing Wang , Yuming Deng , Xingyu Wu

This study addresses the Min-Max Multiple Traveling Salesmen Problem ($m^3$-TSP), which aims to coordinate tours for multiple salesmen such that the length of the longest tour is minimized. Due to its NP-hard nature, exact solvers become…

Artificial Intelligence · Computer Science 2025-08-26 Wen Wang , Xiangchen Wu , Liang Wang , Hao Hu , Xianping Tao , Linghao Zhang

Neural Combinatorial Optimization aims to learn to solve a class of combinatorial problems through data-driven methods and notably through employing neural networks by learning the underlying distribution of problem instances. While, so far…

Machine Learning · Computer Science 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

Reinforcement learning algorithms are typically designed for discrete-time dynamics, even though the underlying real-world control systems are often continuous in time. In this paper, we study the problem of continuous-time reinforcement…

Machine Learning · Computer Science 2026-03-03 Klemens Iten , Lenart Treven , Bhavya Sukhija , Florian Dörfler , Andreas Krause

Deep Neural Networks and Reinforcement Learning methods have empirically shown great promise in tackling challenging combinatorial problems. In those methods a deep neural network is used as a solution generator which is then trained by…

Machine Learning · Computer Science 2023-11-08 Constantine Caramanis , Dimitris Fotakis , Alkis Kalavasis , Vasilis Kontonis , Christos Tzamos

Reinforcement Learning (RL) has emerged as a powerful tool for neural combinatorial optimization, enabling models to learn heuristics that solve complex problems without requiring expert knowledge. Despite significant progress, existing RL…

Machine Learning · Computer Science 2025-05-14 Mingjun Pan , Guanquan Lin , You-Wei Luo , Bin Zhu , Zhien Dai , Lijun Sun , Chun Yuan

Classical pixel-based Visual Servoing (VS) approaches offer high accuracy but suffer from a limited convergence area due to optimization nonlinearity. Modern deep learning-based VS methods overcome traditional vision issues but lack…

Robotics · Computer Science 2023-10-03 Salar Asayesh , Hossein Sheikhi Darani , Mo chen , Mehran Mehrandezh , Kamal Gupta

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

Machine Learning · Statistics 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

Many traditional algorithms for solving combinatorial optimization problems involve using hand-crafted heuristics that sequentially construct a solution. Such heuristics are designed by domain experts and may often be suboptimal due to the…

Machine Learning · Computer Science 2020-12-25 Nina Mazyavkina , Sergey Sviridov , Sergei Ivanov , Evgeny Burnaev

In reconfigurable intelligent surface (RIS)-assisted wireless communication systems, the pointing accuracy and intensity of reflections depend crucially on the 'profile,' representing the amplitude/phase state information of all elements in…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Wei Wang , Peizheng Li , Angela Doufexi , Mark A Beach

In scheduling problems common in the industry and various real-world scenarios, responding in real-time to disruptive events is essential. Recent methods propose the use of deep reinforcement learning (DRL) to learn policies capable of…

Artificial Intelligence · Computer Science 2024-01-31 Imanol Echeverria , Maialen Murua , Roberto Santana

Recent advancements in neural combinatorial optimization (NCO) methods have shown promising results in generating near-optimal solutions without the need for expert-crafted heuristics. However, high performance of these approaches often…

Artificial Intelligence · Computer Science 2025-02-13 Seong-Hyun Hong , Hyun-Sung Kim , Zian Jang , Deunsol Yoon , Hyungseok Song , Byung-Jun Lee

The end-to-end neural combinatorial optimization (NCO) method shows promising performance in solving complex combinatorial optimization problems without the need for expert design. However, existing methods struggle with large-scale…

Machine Learning · Computer Science 2024-05-03 Fu Luo , Xi Lin , Zhenkun Wang , Xialiang Tong , Mingxuan Yuan , Qingfu Zhang

Optimization problems characterized by both discrete and continuous variables are common across various disciplines, presenting unique challenges due to their complex solution landscapes and the difficulty of navigating mixed-variable…

Optimization and Control · Mathematics 2024-06-03 Haoyan Zhai , Qianli Hu , Jiangning Chen

Embodied agents, such as robots and virtual characters, must continuously select actions to execute tasks effectively, solving complex sequential decision-making problems. Given the difficulty of designing such controllers manually,…

Robotics · Computer Science 2026-05-18 Pedro Santana

Deep Reinforcement Learning (DRL) has emerged as a powerful model-free paradigm for learning optimal policies. However, in navigation tasks with cluttered environments, DRL methods often suffer from insufficient exploration, especially…

Robotics · Computer Science 2025-07-04 Licheng Luo , Mingyu Cai