arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.07941stat.MLcs.LG
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鲁棒的离线图主动学习

Robust Offline Active Learning on Graphs

The Pennsylvania State University(宾夕法尼亚州立大学)

Yuanchen Wu, Yubai Yuan

AI总结:

提出一种结合图结构与节点协变量的离线主动学习方法,通过两阶段有偏采样平衡信息性与代表性,理论证明误差权衡,实验验证在含噪场景下优于现有方法。

摘要:

我们考虑了图上的主动学习问题,该问题在许多现实世界网络中具有关键应用,在这些网络中标记节点响应的成本很高。在本文中,我们提出了一种离线主动学习方法,通过明确结合网络结构和节点协变量的信息来选择要查询的节点。基于图信号恢复理论和随机谱稀疏化技术,所提出的方法采用了一种两阶段有偏采样策略,该策略在节点查询时同时考虑了信息性和代表性。信息性指的是从查询节点的响应中可学习的图信号的复杂度,而代表性指的是在给定含噪节点级信息的情况下,查询节点控制泛化误差的能力。我们建立了泛化误差与所提方法所选节点数量之间的理论关系。我们的理论结果展示了主动学习中信息性与代表性之间的权衡。大量的数值实验表明,所提出的方法与现有的基于图的主动学习方法相比具有竞争力,尤其是在节点协变量和响应包含噪声的情况下。此外,所提出的方法适用于图上的回归和分类任务。

英文摘要:

We consider the problem of active learning on graphs, which has crucial applications in many real-world networks where labeling node responses is expensive. In this paper, we propose an offline active learning method that selects nodes to query by explicitly incorporating information from both the network structure and node covariates. Building on graph signal recovery theories and the random spectral sparsification technique, the proposed method adopts a two-stage biased sampling strategy that takes both informativeness and representativeness into consideration for node querying. Informativeness refers to the complexity of graph signals that are learnable from the responses of queried nodes, while representativeness refers to the capacity of queried nodes to control generalization errors given noisy node-level information. We establish a theoretical relationship between generalization error and the number of nodes selected by the proposed method. Our theoretical results demonstrate the trade-off between informativeness and representativeness in active learning. Extensive numerical experiments show that the proposed method is competitive with existing graph-based active learning methods, especially when node covariates and responses contain noises. Additionally, the proposed method is applicable to both regression and classification tasks on graphs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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