arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.00689cs.LGstat.ML

Rethink Maximum Mean Discrepancy for Domain Adaptation

Dalian University of Technology(大连理工大学);Indiana University-Purdue University Indianapolis(印第安纳大学-普渡大学印第安纳波利斯分校)

Wei Wang, Haojie Li, Zhengming Ding, Zhihui Wang

英文摘要:

Existing domain adaptation methods aim to reduce the distributional difference between the source and target domains and respect their specific discriminative information, by establishing the Maximum Mean Discrepancy (MMD) and the discriminative distances. However, they usually accumulate to consider those statistics and deal with their relationships by estimating parameters blindly. This paper theoretically proves two essential facts: 1) minimizing the MMD equals to maximize the source and target intra-class distances respectively but jointly minimize their variance with some implicit weights, so that the feature discriminability degrades; 2) the relationship between the intra-class and inter-class distances is as one falls, another rises. Based on this, we propose a novel discriminative MMD. On one hand, we consider the intra-class and inter-class distances alone to remove a redundant parameter, and the revealed weights provide their approximate optimal ranges. On the other hand, we design two different strategies to boost the feature discriminability: 1) we directly impose a trade-off parameter on the implicit intra-class distance in MMD to regulate its change; 2) we impose the similar weights revealed in MMD on inter-class distance and maximize it, then a balanced factor could be introduced to quantitatively leverage the relative importance between the feature transferability and its discriminability. The experiments on several benchmark datasets not only prove the validity of theoretical results but also demonstrate that our approach could perform better than the comparative state-of-art methods substantially.

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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