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Deep reinforcement learning (DRL) has been used to learn effective heuristics for solving complex combinatorial optimisation problem via policy networks and have demonstrated promising performance. Existing works have focused on solving…

Machine Learning · Computer Science 2020-12-25 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

Embedding parameterized optimization problems as layers into machine learning architectures serves as a powerful inductive bias. Training such architectures with stochastic gradient descent requires care, as degenerate derivatives of the…

Machine Learning · Computer Science 2024-12-16 Anselm Paulus , Georg Martius , Vít Musil

Bilevel optimization enjoys a wide range of applications in emerging machine learning and signal processing problems such as hyper-parameter optimization, image reconstruction, meta-learning, adversarial training, and reinforcement…

Machine Learning · Computer Science 2025-01-08 Han Shen , Quan Xiao , Tianyi Chen

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

Artificial Intelligence · Computer Science 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

Reinforcement learning has recently gained traction as a means to improve combinatorial optimization methods, yet its effectiveness within local search metaheuristics specifically remains comparatively underexamined. In this study, we…

Machine Learning · Computer Science 2026-01-14 Yannick Molinghen , Augustin Delecluse , Renaud De Landtsheer , Stefano Michelini

Learning to optimize (L2O) has recently emerged as a promising approach to solving optimization problems by exploiting the strong prediction power of neural networks and offering lower runtime complexity than conventional solvers. While L2O…

Machine Learning · Computer Science 2021-12-21 Zhihui Shao , Jianyi Yang , Cong Shen , Shaolei Ren

Learning how to automatically solve optimization problems has the potential to provide the next big leap in optimization technology. The performance of automatically learned heuristics on routing problems has been steadily improving in…

Artificial Intelligence · Computer Science 2020-12-01 André Hottung , Kevin Tierney

This paper presents an approach to learn the local-search heuristics that iteratively improves the solution of Vehicle Routing Problem (VRP). A local-search heuristics is composed of a destroy operator that destructs a candidate solution,…

Neural and Evolutionary Computing · Computer Science 2020-02-21 Lei Gao , Mingxiang Chen , Qichang Chen , Ganzhong Luo , Nuoyi Zhu , Zhixin Liu

Maritime inventory routing optimization is an important yet challenging combinatorial optimization problem. We propose a machine learning-based local search approach for finding feasible solutions of large-scale maritime inventory routing…

Optimization and Control · Mathematics 2025-08-22 Rui Chen , Defeng Liu , Nan Jiang , Rishabh Gupta , Mustafa Kilinc , Andrea Lodi

The increasing demand for autonomous systems in complex and dynamic environments has driven significant research into intelligent path planning methodologies. For decades, graph-based search algorithms, linear programming techniques, and…

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

Machine Learning · Computer Science 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Deep learning has been extended to a number of new domains with critical success, though some traditional orienteering problems such as the Travelling Salesman Problem (TSP) and its variants are not commonly solved using such techniques.…

Machine Learning · Computer Science 2019-03-11 Wei Shao , Flora D. Salim , Jeffrey Chan , Sean Morrison , Fabio Zambetta

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

Discovering efficient algorithms for solving complex problems has been an outstanding challenge in mathematics and computer science, requiring substantial human expertise over the years. Recent advancements in evolutionary search with large…

Artificial Intelligence · Computer Science 2026-05-26 Anja Surina , Amin Mansouri , Lars Quaedvlieg , Amal Seddas , Maryna Viazovska , Emmanuel Abbe , Caglar Gulcehre

Long-range navigation is commonly addressed through hierarchical pipelines in which a global planner generates a path, decomposed into waypoints, and followed sequentially by a local planner. These systems are sensitive to global path…

Robotics · Computer Science 2026-03-17 Mateo Haro , Julia Richter , Fan Yang , Cesar Cadena , Marco Hutter

We study combinatorial problems with real world applications such as machine scheduling, routing, and assignment. We propose a method that combines Reinforcement Learning (RL) and planning. This method can equally be applied to both the…

Machine Learning · Computer Science 2021-05-19 Joel Oren , Chana Ross , Maksym Lefarov , Felix Richter , Ayal Taitler , Zohar Feldman , Christian Daniel , Dotan Di Castro

Learning to Optimize (L2O) stands at the intersection of traditional optimization and machine learning, utilizing the capabilities of machine learning to enhance conventional optimization techniques. As real-world optimization problems…

Optimization and Control · Mathematics 2024-05-27 Xiaohan Chen , Jialin Liu , Wotao Yin

Combinatorial Optimization problems are widespread in domains such as logistics, manufacturing, and drug discovery, yet their NP-hard nature makes them computationally challenging. Recent Neural Combinatorial Optimization methods leverage…

Machine Learning · Statistics 2025-06-05 Sobihan Surendran , Adeline Fermanian , Sylvain Le Corff

The navigation problem is classically approached in two steps: an exploration step, where map-information about the environment is gathered; and an exploitation step, where this information is used to navigate efficiently. Deep…

Robotics · Computer Science 2019-01-08 Vikas Dhiman , Shurjo Banerjee , Brent Griffin , Jeffrey M Siskind , Jason J Corso

Many recent successes of machine learning went hand in hand with advances in optimization. The exchange of ideas between these fields has worked both ways, with machine learning building on standard optimization procedures such as gradient…

Optimization and Control · Mathematics 2021-10-26 Konstantin Mishchenko