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arXiv 2310.04606stat.MLcs.LGmath.STstat.TH

不可靠源数据下的鲁棒迁移学习

Robust Transfer Learning with Unreliable Source Data

Department of Operations Research(运筹学系);Financial Engineering, Princeton University(普林斯顿大学金融工程系)

Jianqing Fan, Cheng Gao, Jason M. Klusowski

AI总结:

本文提出“模糊水平”新量及TAB模型,通过阈值平衡目标与源数据,在不可靠源数据下实现鲁棒迁移学习,避免负迁移并取得近最优上界。

摘要:

本文针对鲁棒迁移学习中因贝叶斯分类器的模糊性以及目标分布与源分布之间可迁移信号较弱而产生的挑战进行研究。我们引入了一个称为“模糊水平”的新量,用于度量目标回归函数与源回归函数之间的差异,提出了一种简单的迁移学习流程,并建立了一个一般性定理,说明该新量如何与学习在风险改进意义上的可迁移性相关。我们提出的“边界周围迁移”(TAB)模型,通过一个阈值来平衡目标数据和源数据的表现,被证明既高效又鲁棒,能够在改善分类性能的同时避免负迁移。此外,我们在非参数分类和逻辑回归任务上展示了TAB模型的有效性,所获得的上界在相差对数因子的意义下是最优的。模拟研究进一步支持了TAB的有效性。我们还提供了简单的方法来界定超额误分类误差,而无需迁移学习方面的专门知识。

英文摘要:

This paper addresses challenges in robust transfer learning stemming from ambiguity in Bayes classifiers and weak transferable signals between the target and source distribution. We introduce a novel quantity called the ''ambiguity level'' that measures the discrepancy between the target and source regression functions, propose a simple transfer learning procedure, and establish a general theorem that shows how this new quantity is related to the transferability of learning in terms of risk improvements. Our proposed ''Transfer Around Boundary'' (TAB) model, with a threshold balancing the performance of target and source data, is shown to be both efficient and robust, improving classification while avoiding negative transfer. Moreover, we demonstrate the effectiveness of the TAB model on non-parametric classification and logistic regression tasks, achieving upper bounds which are optimal up to logarithmic factors. Simulation studies lend further support to the effectiveness of TAB. We also provide simple approaches to bound the excess misclassification error without the need for specialized knowledge in transfer learning.

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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