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arXiv 2202.06201cs.LGcond-mat.dis-nncs.CVquant-ph

无监督解缠:环面上的张量积表示

Unsupervised Disentanglement with Tensor Product Representations on the Torus

Tel-Aviv University(特拉维夫大学);Univrses;Simons Center for Geometry and Physics(西蒙斯几何与物理中心)

Michael Rotman, Amit Dekel, Shir Gur, Yaron Oz, Lior Wolf

AI总结:

提出用环面潜在空间上的张量积表示替代向量表示,实现无监督解缠,实验证明在解缠性、完整性和信息性上优于传统方法。

摘要:

当前使用自编码器学习表示的方法几乎完全采用向量作为潜在表示。在这项工作中,我们提出为此目的采用张量积结构。这样,所获得的表示自然地被解缠。与针对正态分布特征的传统变分方法不同,我们的表示中的潜在空间在一组单位圆上均匀分布。我们认为潜在空间的环面结构能有效捕捉生成因子。我们采用最近用于测量无监督解缠的工具,并在大量实验中展示了我们的方法在解缠性、完整性和信息性方面的优势。我们提出的方法的代码可在 https://github.com/rotmanmi/Unsupervised-Disentanglement-Torus 获取。

英文摘要:

The current methods for learning representations with auto-encoders almost exclusively employ vectors as the latent representations. In this work, we propose to employ a tensor product structure for this purpose. This way, the obtained representations are naturally disentangled. In contrast to the conventional variations methods, which are targeted toward normally distributed features, the latent space in our representation is distributed uniformly over a set of unit circles. We argue that the torus structure of the latent space captures the generative factors effectively. We employ recent tools for measuring unsupervised disentanglement, and in an extensive set of experiments demonstrate the advantage of our method in terms of disentanglement, completeness, and informativeness. The code for our proposed method is available at https://github.com/rotmanmi/Unsupervised-Disentanglement-Torus.

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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