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arXiv · 1809.04481

But How Does It Work in Theory? Linear SVM with Random Features

Yitong Sun·Anna Gilbert·Ambuj Tewari
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Abstract

We prove that, under low noise assumptions, the support vector machine with $N\ll m$ random features (RFSVM) can achieve the learning rate faster than $O(1/\sqrt{m})$ on a training set with $m$ samples when an optimized feature map is used. Our work extends the previous fast rate analysis of random features method from least square loss to 0-1 loss. We also show that the reweighted feature selection method, which approximates the optimized feature map, helps improve the performance of RFSVM in experiments on a synthetic data set.

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BibTeXRIS

Yitong Sun, Anna Gilbert, Ambuj Tewari. 2018-09-12. But How Does It Work in Theory? Linear SVM with Random Features. https://arxiv.org/abs/1809.04481

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