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arXiv 2409.04747cs.CVcs.LG

面向自监督学习的显式互信息最大化

Explicit Mutual Information Maximization for Self-Supervised Learning

School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University(上海交通大学电子信息与电气工程学院);Advanced Computing and Storage Laboratory, Huawei Technologies Co., Ltd.(华为技术有限公司先进计算与存储实验室)

Lele Chang, Peilin Liu, Qinghai Guo, Fei Wen

AI总结:

针对自监督学习中直接应用互信息最大化的难题,本研究基于互信息不变性与通用分布假设,推导仅用二阶统计量的损失函数,经实验验证有效,为自监督学习提供显式互信息最大化的可行方案。

摘要:

近年来,自监督学习(SSL)已得到广泛研究。理论上,互信息最大化(MIM)是自监督学习的最优准则,在信息论中拥有坚实的理论基础。但由于实际应用中无法解析获取数据分布,直接将互信息最大化应用于自监督学习存在难度。实践中,许多现有方法可被视为互信息最大化准则的近似实现。本研究表明,基于互信息的不变性,在通用分布假设(即数据分布的松弛条件)下,可将显式互信息最大化应用于自监督学习。我们通过分析广义高斯分布进一步阐释了这一点。基于该结果,我们仅利用二阶统计量,推导出基于互信息最大化准则的损失函数。我们将该新损失应用于自监督学习,并通过大量实验验证了其有效性。

英文摘要:

Recently, self-supervised learning (SSL) has been extensively studied. Theoretically, mutual information maximization (MIM) is an optimal criterion for SSL, with a strong theoretical foundation in information theory. However, it is difficult to directly apply MIM in SSL since the data distribution is not analytically available in applications. In practice, many existing methods can be viewed as approximate implementations of the MIM criterion. This work shows that, based on the invariance property of MI, explicit MI maximization can be applied to SSL under a generic distribution assumption, i.e., a relaxed condition of the data distribution. We further illustrate this by analyzing the generalized Gaussian distribution. Based on this result, we derive a loss function based on the MIM criterion using only second-order statistics. We implement the new loss for SSL and demonstrate its effectiveness via extensive experiments.

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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