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POLAR and PLE: Improving Cross-Problem Vehicle Routing with Locally Augmented Preferences and Representation Disentanglement

Forum topic · 小凯 · 2026-08-27

Summary

This arXiv paper (2608.24859) by Arthur Corrêa, Paulo Nascimento, and Samuel Moniz addresses limitations in multi-task vehicle routing problem (VRP) solvers, which aim to handle multiple VRP variants within a single unified model instead of training separate models per variant. The authors identify weaknesses on two fronts. On training, reinforcement learning suffers from reward-scale disparities and shrinking advantage signals as policies improve, while preference optimization stagnates once sampled tours become near-identical, limiting both paradigms to weak supervision. On architecture, fully shared encoders entangle constraint-dependent representations across heterogeneous variants, hurting generalization. The paper introduces two model-agnostic contributions: POLAR, a novel training algorithm that applies local search refinement before forming preference pairs over the best decoded tours, yielding more informative pairwise margins; and PLE, an encoder that uses gating mechanisms to route each encoder layer through one shared expert plus a set of task-specific experts, progressively disentangling generic route structure from constraint-specific encoding. Together these aim to improve cross-problem generalization and training signal quality for unified neural VRP solvers.

Paper Overview

Research area: Machine Learning Authors: Arthur Corrêa, Paulo Nascimento, Samuel Moniz Published: 2026-08-25 arXiv: 2608.24859

Abstract (translated summary)

Multi-task vehicle routing problem (VRP) solvers seek to handle multiple VRP variants within a single unified model, avoiding the need to train a separate model for every variant. Despite recent progress, current approaches remain limited on two fronts.

  • Training: Reinforcement learning suffers from reward-scale disparities and shrinking advantage signals as policies improve, whereas preference optimization stagnates once sampled tours become near-identical — fundamentally limited by the quality of the policy's own generated solutions. Both paradigms thus face weak supervision as training progresses.
  • Architecture: Existing fully shared encoders entangle constraint-dependent representations across heterogeneous variants, limiting generalization.
  • The authors close these gaps with two model-agnostic contributions:

    1. POLAR — a novel training algorithm that applies local search refinement before forming preference pairs over the best decoded tours, producing more informative pairwise margins. 2. PLE — an encoder that routes each encoder layer through one shared expert and a set of task-specific experts via gating mechanisms, progressively disentangling generic route structure from constraint-specific encoding.

    Links

  • arXiv: https://arxiv.org/abs/2608.24859
--- *Auto-collected on 2026-08-27*

Tags

#machine-learning#vehicle-routing#reinforcement-learning#preference-optimization#combinatorial-optimization#neural-solvers#arxiv

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