Evaluating Curriculum Learning Strategies in Neural Combinatorial Optimization
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Abstract (arXiv)
Neural combinatorial optimization (NCO) aims at designing problem-independent and efficient neural network-based strategies for solving combinatorial problems. The field recently experienced growth by successfully adapting architectures originally designed for machine translation. Even though the results are promising, a large gap still exists between NCO models and classic deterministic solvers, both in terms of accuracy and efficiency. One of the drawbacks of current approaches is the inefficiency of training on multiple problem sizes. Curriculum learning strategies have been shown helpful in increasing performance in the multi-task setting. In this work, we focus on designing a curriculum learning-based training procedure that can help existing architectures achieve competitive performance on a large range of problem sizes simultaneously. We provide a systematic investigation of several training procedures and use the insights gained to motivate application of a psychologically-inspired approach to improve upon the classic curriculum method.
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Nov 2020.
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Citing papers per year: 2021: 1; 2022: 6; 2023: 2; 2024: 2; 2025: 4; 2026: 4.
19 papers.
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- 2022Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimizationcited by 118
- 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problemscited by 68
- 2022Pareto Set Learning for Neural Multi-objective Combinatorial Optimizationcited by 56
- 2022Learning to Solve Travelling Salesman Problem with Hardness-adaptive Curriculumcited by 27
- 2023ASP: Learn a Universal Neural Solver!cited by 27
- 2022On the Generalization of Neural Combinatorial Optimization Heuristicscited by 24
- 2024Human-inspired Perspectives: A Survey on AI Long-term Memorycited by 12
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solvercited by 9
- 2021Generalization in Deep RL for TSP Problems via Equivariance and Local Searchcited by 8
- 2022Learning to generalize Dispatching rules on the Job Shop Schedulingcited by 7
- 2022Supplementing Recurrent Neural Networks with Annealing to Solve Combinatorial Optimization Problemscited by 6
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptationcited by 3
7 more
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discoverycited by 2
- 2025Enhancing the Cross-Size Generalization for Solving Vehicle Routing Problems via Continual Learningcited by 1
- 2026A Curriculum-Based Deep Reinforcement Learning Framework for the Electric Vehicle Routing Problemcited by 1
- 2025On Distributional Dependent Performance of Classical and Neural Routing Solverscited by 0
- 2025Generative Modeling for Robust Deep Reinforcement Learning on the Traveling Salesman Problemcited by 0
- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimizationcited by 0
- 2026Curriculum Learning with GNN-based Reinforcement Learning for Job Shop Schedulingcited by 0
- 2026Curriculum Learning with GNN-based Reinforcement Learning for Job Shop Scheduling23 Sep 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimization28 Jan 2026
- 2026A Curriculum-Based Deep Reinforcement Learning Framework for the Electric Vehicle Routing Problem21 Jan 2026
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptation13 Nov 2025
- 2025Enhancing the Cross-Size Generalization for Solving Vehicle Routing Problems via Continual Learning11 Oct 2025
- 2025Generative Modeling for Robust Deep Reinforcement Learning on the Traveling Salesman Problem12 Aug 2025
- 2025On Distributional Dependent Performance of Classical and Neural Routing Solvers4 Aug 2025
- 2024Human-inspired Perspectives: A Survey on AI Long-term Memory1 Nov 2024
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solver3 May 2024
- 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problems31 May 2023
- 2023ASP: Learn a Universal Neural Solver!1 Mar 2023
7 more
- 2022Supplementing Recurrent Neural Networks with Annealing to Solve Combinatorial Optimization Problems17 Jul 2022
- 2022Learning to generalize Dispatching rules on the Job Shop Scheduling9 Jun 2022
- 2022On the Generalization of Neural Combinatorial Optimization Heuristics1 Jun 2022
- 2022Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimization26 May 2022
- 2022Learning to Solve Travelling Salesman Problem with Hardness-adaptive Curriculum7 Apr 2022
- 2022Pareto Set Learning for Neural Multi-objective Combinatorial Optimization29 Mar 2022
- 2021Generalization in Deep RL for TSP Problems via Equivariance and Local Search7 Oct 2021
- 2022Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimizationcited by 118
- 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problemscited by 68
- 2022Pareto Set Learning for Neural Multi-objective Combinatorial Optimizationcited by 56
- 2022Learning to Solve Travelling Salesman Problem with Hardness-adaptive Curriculumcited by 27
- 2023ASP: Learn a Universal Neural Solver!cited by 27
- 2022On the Generalization of Neural Combinatorial Optimization Heuristicscited by 24
- 2024Human-inspired Perspectives: A Survey on AI Long-term Memorycited by 12
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solvercited by 9
- 2021Generalization in Deep RL for TSP Problems via Equivariance and Local Searchcited by 8
- 2022Learning to generalize Dispatching rules on the Job Shop Schedulingcited by 7
- 2022Supplementing Recurrent Neural Networks with Annealing to Solve Combinatorial Optimization Problemscited by 6
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptationcited by 3
12 most cited of 19 All 19 (JSON)
- 2026Curriculum Learning with GNN-based Reinforcement Learning for Job Shop Scheduling23 Sep 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimization28 Jan 2026
- 2026A Curriculum-Based Deep Reinforcement Learning Framework for the Electric Vehicle Routing Problem21 Jan 2026
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptation13 Nov 2025
- 2025Enhancing the Cross-Size Generalization for Solving Vehicle Routing Problems via Continual Learning11 Oct 2025
- 2025Generative Modeling for Robust Deep Reinforcement Learning on the Traveling Salesman Problem12 Aug 2025
- 2025On Distributional Dependent Performance of Classical and Neural Routing Solvers4 Aug 2025
- 2024Human-inspired Perspectives: A Survey on AI Long-term Memory1 Nov 2024
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solver3 May 2024
- 2023Towards Omni-generalizable Neural Methods for Vehicle Routing Problems31 May 2023
- 2023ASP: Learn a Universal Neural Solver!1 Mar 2023
12 newest of 19 All 19 (JSON)