arXiv:2604.01021cs.LGcs.AI2026-04被引 2

scarce数据下提升非参数贝叶斯网络学习效果,避免迁移负效应。

Transfer learning for nonparametric Bayesian networks

  • 基于约束与评分的两种迁移学习算法,适配小样本场景。
  • 在合成与UCI数据集上验证,显著减少负迁移影响。
  • 适合工业界数据少时快速部署非参数贝叶斯网络。

本文针对数据稀缺场景,提出两种非参数贝叶斯网络的迁移学习方法:基于约束的PC-stable-transfer learning(PCS-TL)和基于评分的hill climbing transfer learning(HC-TL)。为应对迁移学习中的负迁移问题,分别设计了针对性评估指标。参数估计采用对数线性池化方法。实验在小型、中型、大型合成网络及UCI机器学习库数据集上进行,通过添加噪声与结构修改测试模型鲁棒性。使用Friedman检验结合Bergmann-Hommel事后分析,证明所提方法在性能上具有统计显著优势。结果表明,PCS-TL与HC-TL能有效提升非参数贝叶斯网络在稀疏数据下的学习表现,实际应用中可缩短工业部署时间。

原文摘要 · Abstract (English)

This paper introduces two transfer learning methodologies for estimating nonparametric Bayesian networks under scarce data. We propose two algorithms, a constraint-based structure learning method, called PC-stable-transfer learning (PCS-TL), and a score-based method, called hill climbing transfer learning (HC-TL). We also define particular metrics to tackle the negative transfer problem in each of them, a situation in which transfer learning has a negative impact on the model's performance. Then, for the parameters, we propose a log-linear pooling approach. For the evaluation, we learn kernel density estimation Bayesian networks, a type of nonparametric Bayesian network, and compare their transfer learning performance with the models alone. To do so, we sample data from small, medium and large-sized synthetic networks and datasets from the UCI Machine Learning repository. Then, we add noise and modifications to these datasets to test their ability to avoid negative transfer. To conclude, we perform a Friedman test with a Bergmann-Hommel post-hoc analysis to show statistical proof of the enhanced experimental behavior of our methods. Thus, PCS-TL and HC-TL demonstrate to be reliable algorithms for improving the learning performance of a nonparametric Bayesian network with scarce data, which in real industrial environments implies a reduction in the required time to deploy the network.

迁移学习贝叶斯网络小样本非参数

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