arXiv Open Access 2019

The Implicit Bias of AdaGrad on Separable Data

Qian Qian Xiaoyuan Qian

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Abstrak

We study the implicit bias of AdaGrad on separable linear classification problems. We show that AdaGrad converges to a direction that can be characterized as the solution of a quadratic optimization problem with the same feasible set as the hard SVM problem. We also give a discussion about how different choices of the hyperparameters of AdaGrad might impact this direction. This provides a deeper understanding of why adaptive methods do not seem to have the generalization ability as good as gradient descent does in practice.

Topik & Kata Kunci

stat.ML cs.LG

Penulis (2)

Qian Qian

Xiaoyuan Qian

Format Sitasi

APA MLA BibTeX

Qian, Q., Qian, X. (2019). The Implicit Bias of AdaGrad on Separable Data. https://arxiv.org/abs/1906.03559

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓