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通过表示学习解决两阶段的随机整数程序.

Yaoxin Wu1, Zhiguang Cao2, Wen Song3

  • 1Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, Eindhoven, 5600 MB, The Netherlands.

Neural networks : the official journal of the International Neural Network Society
|April 21, 2025
PubMed
概括
此摘要是机器生成的。

本研究引入了一个条件变量自编码器 (CVAE),以有效地解决复杂的随机整数程序 (SIP). 该方法学习场景表示,减少计算时间并提高大规模问题的解决方案质量.

关键词:
有条件变化的自编码器.相反的学习学习.半监督学习 半监督学习静态的整数程序 静态的整数程序

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科学领域:

  • 运营研究 运营研究
  • 机器学习 机器学习
  • 计算优化计算优化

背景情况:

  • 随机整数程序 (SIP) 由于其复杂性,在计算上具有挑战性.
  • 现有的方法与大规模的SIP实例和多样化的场景分布作斗争.

研究的目的:

  • 开发一种有效的方法来解决双阶段随机整数程序 (SIP).
  • 在优化中利用机器学习进行场景表示学习.

主要方法:

  • 使用图形卷积网络 (GCN) 的条件变化自编码器 (CVAE) 将场景嵌入到潜在空间中.
  • 包括客观预测和场景对比在内的辅助任务用于整合客观信息.
  • 梯度反向传播精细化了学习的表示.

主要成果:

  • 学习场景表示显著减少了SIP所需的场景数量.
  • 该方法在缩短的计算时间内实现高质量的解决方案.
  • 该方法在更大的实例和各种数据分布上表现出有效性.

结论:

  • 拟议的基于CVAE的场景表示学习对解决SIP有效.
  • 这种方法为复杂的优化问题提供了计算效率高且可扩展的解决方案.
  • 该技术在不同的问题大小和数据特征中很好地泛化.