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

Yitong SunAnna GilbertAmbuj Tewari

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... (read more)

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