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arXiv 2303.07321cs.LGcs.CV
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面向软类别标签与深度聚类的碰撞交叉熵

Collision Cross-entropy for Soft Class Labels and Deep Clustering

University of Waterloo(滑铁卢大学)

Zhongwen Zhang, Yuri Boykov

AI总结:

本文提出碰撞交叉熵损失,以替代香农交叉熵处理软标签分类与深度聚类,通过最大化预测类别与真实类别相等的碰撞概率,改善自标记聚类性能,并给出高效EM算法加速伪标签估计。

摘要:

我们提出“碰撞交叉熵”,作为香农交叉熵(CE)损失的一种稳健替代方案,适用于类别标签由软类别分布 y 表示的情形。一般而言,软标签能够自然地表示分类中的模糊目标。它们对于自标记聚类方法尤为重要,因为在这些方法中,潜在伪标签与模型参数联合估计,并且不确定性普遍存在。在软标签情况下,香农交叉熵会教导模型预测复现每个训练样本中的不确定性,这会抑制模型从这些样本中学习和泛化的能力。作为替代损失,我们提出“碰撞概率”的负对数,该概率最大化两个随机变量——预测类别与未知真实类别——相等的机会。我们证明它具有广义交叉熵的性质。所提出的碰撞交叉熵在独热标签下与香农交叉熵一致,但在软标签下的训练行为不同。例如,与香农交叉熵不同,当 y 为均匀分布时,数据点对训练的贡献为零。碰撞交叉熵显著改善了由软不确定目标监督的分类。与香农交叉熵不同,碰撞交叉熵对 y 和网络预测是对称的,这在自标记聚类中两个分布都被估计的背景下尤为重要。聚焦于以自标记和基于熵的损失为主导的判别式深度聚类,我们表明使用碰撞交叉熵能够提升当前最先进水平。我们还推导出一种高效的 EM 算法,显著加速了使用碰撞交叉熵的伪标签估计。

英文摘要:

We propose "collision cross-entropy" as a robust alternative to Shannon's cross-entropy (CE) loss when class labels are represented by soft categorical distributions y. In general, soft labels can naturally represent ambiguous targets in classification. They are particularly relevant for self-labeled clustering methods, where latent pseudo-labels are jointly estimated with the model parameters and uncertainty is prevalent. In case of soft labels, Shannon's CE teaches the model predictions to reproduce the uncertainty in each training example, which inhibits the model's ability to learn and generalize from these examples. As an alternative loss, we propose the negative log of "collision probability" that maximizes the chance of equality between two random variables, predicted class and unknown true class. We show that it has the properties of a generalized CE. The proposed collision CE agrees with Shannon's CE for one-hot labels, but the training from soft labels differs. For example, unlike Shannon's CE, data points where y is a uniform distribution have zero contribution to the training. Collision CE significantly improves classification supervised by soft uncertain targets. Unlike Shannon's, collision CE is symmetric for y and network predictions, which is particularly relevant when both distributions are estimated in the context of self-labeled clustering. Focusing on discriminative deep clustering where self-labeling and entropy-based losses are dominant, we show that the use of collision CE improves the state-of-the-art. We also derive an efficient EM algorithm that significantly speeds up the pseudo-label estimation with collision CE.

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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