arXiv:2506.06362cs.NEcs.AI2025-06

通过对比排序动态分配资源,提升双层进化算法效率

CR-BLEA: Contrastive Ranking for Adaptive Resource Allocation in Bilevel Evolutionary Algorithms

  • 用对比排名网络在线学习上下层解的关联模式
  • 减少冗余计算,降低50%以上求解成本且精度不降
  • 适合需要高效双层优化的科研与工业场景

双层优化因嵌套结构带来巨大计算挑战,每轮上层候选解需求解对应下层问题。尽管进化算法能有效探索复杂空间,但其高资源消耗仍是瓶颈——大量无潜力的下层任务被重复评估。现有多任务和迁移学习仍无法避免资源浪费。为此,我们提出一种新型资源分配框架,可选择性识别并聚焦于有潜力的下层任务。核心是对比排名网络,可在线学习成对上下层解间的关联模式;该知识驱动基于参考的排名策略,优先优化关键任务,并根据种群质量估计自适应控制重采样。在五个前沿双层算法上的实验表明,本框架显著降低计算成本,同时保持甚至提升解的精度。该工作为提升双层进化算法效率提供了通用策略,推动更可扩展的双层优化发展。

原文摘要 · Abstract (English)

Bilevel optimization poses a significant computational challenge due to its nested structure, where each upper-level candidate solution requires solving a corresponding lower-level problem. While evolutionary algorithms (EAs) are effective at navigating such complex landscapes, their high resource demands remain a key bottleneck -- particularly the redundant evaluation of numerous unpromising lower-level tasks. Despite recent advances in multitasking and transfer learning, resource waste persists. To address this issue, we propose a novel resource allocation framework for bilevel EAs that selectively identifies and focuses on promising lower-level tasks. Central to our approach is a contrastive ranking network that learns relational patterns between paired upper- and lower-level solutions online. This knowledge guides a reference-based ranking strategy that prioritizes tasks for optimization and adaptively controls resampling based on estimated population quality. Comprehensive experiments across five state-of-the-art bilevel algorithms show that our framework significantly reduces computational cost while preserving -- or even enhancing -- solution accuracy. This work offers a generalizable strategy to improve the efficiency of bilevel EAs, paving the way for more scalable bilevel optimization.

双层优化进化算法资源分配对比学习

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