mlsanityData to 7 Oct 2026

PolyNet: Learning Diverse Solution Strategies for Neural Combinatorial Optimization

arXiv 2402.14048 ↗First posted 21 Feb 2024cs.LG cs.AIcited by 35

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Abstract (arXiv)

Reinforcement learning-based methods for constructing solutions to combinatorial optimization problems are rapidly approaching the performance of human-designed algorithms. To further narrow the gap, learning-based approaches must efficiently explore the solution space during the search process. Recent approaches artificially increase exploration by enforcing diverse solution generation through handcrafted rules, however, these rules can impair solution quality and are difficult to design for more complex problems. In this paper, we introduce PolyNet, an approach for improving exploration of the solution space by learning complementary solution strategies. In contrast to other works, PolyNet uses only a single-decoder and a training schema that does not enforce diverse solution generation through handcrafted rules. We evaluate PolyNet on four combinatorial optimization problems and observe that the implicit diversity mechanism allows PolyNet to find better solutions than approaches that explicitly enforce diverse solution generation.

Key facts. Cited by 35 papers in the map (data through 7 Oct 2026). Builds on 40 of its 66 references that are in the map. First posted on arXiv 21 Feb 2024.

Builds on

40 of 66 references.

References · 40

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28 more
  1. 2020Generalize a Small Pre-trained Model to Arbitrarily Large TSP Instancescited by 161
  2. 2023Neural Combinatorial Optimization with Heavy Decoder: Toward Large Scale Generalizationcited by 140
  3. 2020Hybrid Genetic Search for the CVRP: Open-Source Implementation and SWAP* Neighborhoodcited by 122
  4. 2022Sym-NCO: Leveraging Symmetricity for Neural Combinatorial Optimizationcited by 118
  5. 2019Neural Large Neighborhood Search for the Capacitated Vehicle Routing Problemcited by 117
  6. 2021Learning to Iteratively Solve Routing Problems with Dual-Aspect Collaborative Transformercited by 108
  7. 2020Learning 2-opt Heuristics for the Traveling Salesman Problem via Deep Reinforcement Learningcited by 100
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  12. 2021Matrix Encoding Networks for Neural Combinatorial Optimizationcited by 89
  13. 2021Learning Collaborative Policies to Solve NP-hard Routing Problemscited by 86
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 7; 2025: 13; 2026: 15.

35 papers.

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  1. 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Expertscited by 69
  2. 2024RouteFinder: Towards Foundation Models for Vehicle Routing Problemscited by 54
  3. 2025Rethinking Light Decoder-based Solvers for Vehicle Routing Problemscited by 36
  4. 2024Learning to Handle Complex Constraints for Vehicle Routing Problemscited by 29
  5. 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectivescited by 23
  6. 2025Neural Deconstruction Search for Vehicle Routing Problemscited by 15
  7. 2025Learning to Insert for Constructive Neural Vehicle Routing Solvercited by 10
  8. 2024Collaboration! Towards Robust Neural Methods for Routing Problemscited by 9
  9. 2025VRPAgent: LLM-Driven Discovery of Heuristic Operators for Vehicle Routing Problemscited by 6
  10. 2024Memory-Enhanced Neural Solvers for Routing Problemscited by 4
  11. 2024Learning Multiple Initial Solutions to Optimization Problemscited by 4
  12. 2026Survey on Neural Routing Solverscited by 4
23 more
  1. 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptationcited by 3
  2. 2025Learning to Solve the Min-Max Mixed-Shelves Picker-Routing Problem via Hierarchical and Parallel Decodingcited by 2
  3. 2025Breaking the Performance Ceiling in Reinforcement Learning requires Inference Strategiescited by 2
  4. 2026Towards Efficient Constraint Handling in Neural Solvers for Routing Problemscited by 2
  5. 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPscited by 2
  6. 2025USPR: Learning a Unified Solver for Profiled Routingcited by 1
  7. 2025Recurrent State Encoders for Efficient Neural Combinatorial Optimizationcited by 1
  8. 2026Efficient Decoder Scaling Strategy for Neural Routing Solverscited by 1
  9. 2026Learning with Foresight: Enhancing Neural Routing Policy via Multi-Node Lookahead Predictioncited by 1
  10. 2025Latent Guided Sampling for Combinatorial Optimizationcited by 0
  11. 2025Synergizing Reinforcement Learning and Genetic Algorithms for Neural Combinatorial Optimizationcited by 0
  12. 2025On Distributional Dependent Performance of Classical and Neural Routing Solverscited by 0
  13. 2025Multi-Action Self-Improvement for Neural Combinatorial Optimizationcited by 0
  14. 2026Enabling Population-Based Architectures for Neural Combinatorial Optimizationcited by 0
  15. 2026Speed is Confidencecited by 0
  16. 2026Learning to Solve Orienteering Problem with Time Windows and Variable Profitscited by 0
  17. 2026Enhancing Cross-Problem Vehicle Routing via Federated Learningcited by 0
  18. 2026Learning to Solve the Quadratic Assignment Problem with Warm-Started MCMC Finetuningcited by 0
  19. 2026LINC: Decoupling Local Consequence Scoring from Hidden Matching in Constructive Neural Routingcited by 0
  20. 2026Rethinking Positional Encoding for Neural Vehicle Routingcited by 0
  21. 2026Geometry-Aware Reinforcement Learning for 2D Irregular Nestingcited by 0
  22. 2026Rank-Conditioned Sample Reuse for the Plackett--Luce Best-of-K Objectivecited by 0
  23. 2026JAMPR+/L2D: scalable neural heuristic for constrained vehicle routing problems in dynamic environmentcited by 0