PolyNet: Learning Diverse Solution Strategies for Neural Combinatorial Optimization
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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.
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Citing papers per year: 2024: 7; 2025: 13; 2026: 15.
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- 2026JAMPR+/L2D: scalable neural heuristic for constrained vehicle routing problems in dynamic environmentcited by 0
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- 2026Rank-Conditioned Sample Reuse for the Plackett--Luce Best-of-K Objective13 Jul 2026
- 2026Geometry-Aware Reinforcement Learning for 2D Irregular Nesting9 Jun 2026
- 2026Learning with Foresight: Enhancing Neural Routing Policy via Multi-Node Lookahead Prediction19 May 2026
- 2026Rethinking Positional Encoding for Neural Vehicle Routing12 May 2026
- 2026LINC: Decoupling Local Consequence Scoring from Hidden Matching in Constructive Neural Routing7 May 2026
- 2026Learning to Solve the Quadratic Assignment Problem with Warm-Started MCMC Finetuning22 Apr 2026
- 2026Enhancing Cross-Problem Vehicle Routing via Federated Learning12 Apr 2026
- 2026Learning to Solve Orienteering Problem with Time Windows and Variable Profits6 Mar 2026
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPs2 Mar 2026
- 2026Efficient Decoder Scaling Strategy for Neural Routing Solvers28 Feb 2026
- 2026Survey on Neural Routing Solvers25 Feb 2026
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- 2026Enabling Population-Based Architectures for Neural Combinatorial Optimization13 Jan 2026
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptation13 Nov 2025
- 2025Multi-Action Self-Improvement for Neural Combinatorial Optimization14 Oct 2025
- 2025VRPAgent: LLM-Driven Discovery of Heuristic Operators for Vehicle Routing Problems8 Oct 2025
- 2025Recurrent State Encoders for Efficient Neural Combinatorial Optimization5 Sep 2025
- 2025On Distributional Dependent Performance of Classical and Neural Routing Solvers4 Aug 2025
- 2025Synergizing Reinforcement Learning and Genetic Algorithms for Neural Combinatorial Optimization11 Jun 2025
- 2025Latent Guided Sampling for Combinatorial Optimization4 Jun 2025
- 2025Breaking the Performance Ceiling in Reinforcement Learning requires Inference Strategies27 May 2025
- 2025Learning to Insert for Constructive Neural Vehicle Routing Solver20 May 2025
- 2025USPR: Learning a Unified Solver for Profiled Routing8 May 2025
- 2025Rethinking Light Decoder-based Solvers for Vehicle Routing Problems2 Mar 2025
- 2025Learning to Solve the Min-Max Mixed-Shelves Picker-Routing Problem via Hierarchical and Parallel Decoding14 Feb 2025
- 2025Neural Deconstruction Search for Vehicle Routing Problems7 Jan 2025
- 2024Learning Multiple Initial Solutions to Optimization Problems4 Nov 2024
- 2024Learning to Handle Complex Constraints for Vehicle Routing Problems28 Oct 2024
- 2024Collaboration! Towards Robust Neural Methods for Routing Problems7 Oct 2024
- 2024Memory-Enhanced Neural Solvers for Routing Problems24 Jun 2024
- 2024RouteFinder: Towards Foundation Models for Vehicle Routing Problems21 Jun 2024
- 2024Neural Combinatorial Optimization Algorithms for Solving Vehicle Routing Problems: A Comprehensive Survey with Perspectives1 Jun 2024
- 2024MVMoE: Multi-Task Vehicle Routing Solver with Mixture-of-Experts2 May 2024
- 2024RouteFinder: Towards Foundation Models for Vehicle Routing Problemscited by 54
- 2025Rethinking Light Decoder-based Solvers for Vehicle Routing Problemscited by 36
- 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
- 2025Neural Deconstruction Search for Vehicle Routing Problemscited by 15
- 2025Learning to Insert for Constructive Neural Vehicle Routing Solvercited by 10
- 2024Collaboration! Towards Robust Neural Methods for Routing Problemscited by 9
- 2025VRPAgent: LLM-Driven Discovery of Heuristic Operators for Vehicle Routing Problemscited by 6
- 2024Memory-Enhanced Neural Solvers for Routing Problemscited by 4
- 2024Learning Multiple Initial Solutions to Optimization Problemscited by 4
- 2026Survey on Neural Routing Solverscited by 4
- 2025Bridging Synthetic and Real Routing Problems via LLM-Guided Instance Generation and Progressive Adaptationcited by 3
12 most cited of 34 All 34 (JSON)
- 2026JAMPR+/L2D: scalable neural heuristic for constrained vehicle routing problems in dynamic environment14 Aug 2026
- 2026Rank-Conditioned Sample Reuse for the Plackett--Luce Best-of-K Objective13 Jul 2026
- 2026Geometry-Aware Reinforcement Learning for 2D Irregular Nesting9 Jun 2026
- 2026Learning with Foresight: Enhancing Neural Routing Policy via Multi-Node Lookahead Prediction19 May 2026
- 2026Rethinking Positional Encoding for Neural Vehicle Routing12 May 2026
- 2026LINC: Decoupling Local Consequence Scoring from Hidden Matching in Constructive Neural Routing7 May 2026
- 2026Learning to Solve the Quadratic Assignment Problem with Warm-Started MCMC Finetuning22 Apr 2026
- 2026Enhancing Cross-Problem Vehicle Routing via Federated Learning12 Apr 2026
- 2026Learning to Solve Orienteering Problem with Time Windows and Variable Profits6 Mar 2026
- 2026Chain-of-Context Learning: Dynamic Constraint Understanding for Multi-Task VRPs2 Mar 2026
- 2026Efficient Decoder Scaling Strategy for Neural Routing Solvers28 Feb 2026
- 2026Survey on Neural Routing Solvers25 Feb 2026
12 newest of 34 All 34 (JSON)