Meta-SAGE: Scale Meta-Learning Scheduled Adaptation with Guided Exploration for Mitigating Scale Shift on Combinatorial Optimization
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Abstract (arXiv)
This paper proposes Meta-SAGE, a novel approach for improving the scalability of deep reinforcement learning models for combinatorial optimization (CO) tasks. Our method adapts pre-trained models to larger-scale problems in test time by suggesting two components: a scale meta-learner (SML) and scheduled adaptation with guided exploration (SAGE). First, SML transforms the context embedding for subsequent adaptation of SAGE based on scale information. Then, SAGE adjusts the model parameters dedicated to the context embedding for a specific instance. SAGE introduces locality bias, which encourages selecting nearby locations to determine the next location. The locality bias gradually decays as the model is adapted to the target instance. Results show that Meta-SAGE outperforms previous adaptation methods and significantly improves scalability in representative CO tasks. Our source code is available at https://github.com/kaist-silab/meta-sage
Key facts. Cited by 23 papers in the map (data through 14 Oct 2026). Builds on 35 of its 49 references that are in the map. First posted on arXiv 5 Jun 2023.
Builds on
35 of 49 references.
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Citing papers per year: 2023: 3; 2024: 12; 2025: 4; 2026: 4.
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- 2023RL4CO: an Extensive Reinforcement Learning for Combinatorial Optimization Benchmarkcited by 71
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 70
- 2023Towards Generalizable Neural Solvers for Vehicle Routing Problems via Ensemble with Transferrable Local Policycited by 62
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2024GOAL: A Generalist Combinatorial Optimization Agent Learnercited by 42
- 2023Combinatorial Optimization with Policy Adaptation using Latent Space Searchcited by 41
- 2024Learning to Handle Complex Constraints for Vehicle Routing Problemscited by 29
- 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectivescited by 23
- 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimizationcited by 11
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solvercited by 9
- 2024Tackling Prevalent Conditions in Unsupervised Combinatorial Optimization: Cardinality, Minimum, Covering, and Morecited by 7
- 2024PARCO: Parallel AutoRegressive Models for Multi-Agent Combinatorial Optimizationcited by 7
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- 2026Survey on Neural Routing Solverscited by 4
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptationcited by 3
- 2024Scaling Combinatorial Optimization Neural Improvement Heuristics with Online Search and Adaptationcited by 2
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discoverycited by 2
- 2024RL-SPH: Learning to Achieve Feasible Solutions for Integer Linear Programscited by 1
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- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimizationcited by 0
- 2026Towards Generalization-Oriented Models for Vehicle Routing Problems with Mixture-of-Expertscited by 0
- 2026Towards Generalization-Oriented Models for Vehicle Routing Problems with Mixture-of-Experts26 May 2026
- 2026Survey on Neural Routing Solvers25 Feb 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimization28 Jan 2026
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptation13 Nov 2025
- 2025Empowering Targeted Neighborhood Search via Hyper Tour for Large-Scale TSP23 Oct 2025
- 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimization20 Mar 2025
- 2025Neural Genetic Search in Discrete Spaces9 Feb 2025
- 2024Scaling Combinatorial Optimization Neural Improvement Heuristics with Online Search and Adaptation13 Dec 2024
- 2024RL-SPH: Learning to Achieve Feasible Solutions for Integer Linear Programs29 Nov 2024
- 2024Learning to Handle Complex Constraints for Vehicle Routing Problems28 Oct 2024
- 2024PARCO: Parallel AutoRegressive Models for Multi-Agent Combinatorial Optimization5 Sep 2024
11 more
- 2024Memory-Enhanced Neural Solvers for Routing Problems24 Jun 2024
- 2024GOAL: A Generalist Combinatorial Optimization Agent Learner21 Jun 2024
- 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectives1 Jun 2024
- 2024Tackling Prevalent Conditions in Unsupervised Combinatorial Optimization: Cardinality, Minimum, Covering, and More14 May 2024
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solver3 May 2024
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Experts2 May 2024
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimization11 Mar 2024
- 2024Moco: A Learnable Meta Optimizer for Combinatorial Optimization7 Feb 2024
- 2023Combinatorial Optimization with Policy Adaptation using Latent Space Search13 Nov 2023
- 2023Towards Generalizable Neural Solvers for Vehicle Routing Problems via Ensemble with Transferrable Local Policy27 Aug 2023
- 2023RL4CO: an Extensive Reinforcement Learning for Combinatorial Optimization Benchmark29 Jun 2023
- 2023RL4CO: an Extensive Reinforcement Learning for Combinatorial Optimization Benchmarkcited by 71
- 2023Towards Generalizable Neural Solvers for Vehicle Routing Problems via Ensemble with Transferrable Local Policycited by 62
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2024GOAL: A Generalist Combinatorial Optimization Agent Learnercited by 42
- 2023Combinatorial Optimization with Policy Adaptation using Latent Space Searchcited by 41
- 2024Learning to Handle Complex Constraints for Vehicle Routing Problemscited by 29
- 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectivescited by 23
- 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimizationcited by 11
- 2024Instance-Conditioned Adaptation for Large-scale Generalization of Neural Routing Solvercited by 9
- 2024Tackling Prevalent Conditions in Unsupervised Combinatorial Optimization: Cardinality, Minimum, Covering, and Morecited by 7
- 2024PARCO: Parallel AutoRegressive Models for Multi-Agent Combinatorial Optimizationcited by 7
- 2024Moco: A Learnable Meta Optimizer for Combinatorial Optimizationcited by 5
12 most cited of 20 All 20 (JSON)
- 2026Survey on Neural Routing Solvers25 Feb 2026
- 2026Game-Theoretic Co-Evolution for LLM-Based Heuristic Discovery30 Jan 2026
- 2026Test-Time Adaptation for Unsupervised Combinatorial Optimization28 Jan 2026
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptation13 Nov 2025
- 2025Empowering Targeted Neighborhood Search via Hyper Tour for Large-Scale TSP23 Oct 2025
- 2025RRNCO: Towards Real-World Routing with Neural Combinatorial Optimization20 Mar 2025
- 2025Neural Genetic Search in Discrete Spaces9 Feb 2025
- 2024RL-SPH: Learning to Achieve Feasible Solutions for Integer Linear Programs29 Nov 2024
- 2024Learning to Handle Complex Constraints for Vehicle Routing Problems28 Oct 2024
- 2024PARCO: Parallel AutoRegressive Models for Multi-Agent Combinatorial Optimization5 Sep 2024
- 2024Memory-Enhanced Neural Solvers for Routing Problems24 Jun 2024
- 2024GOAL: A Generalist Combinatorial Optimization Agent Learner21 Jun 2024
12 newest of 20 All 20 (JSON)