Papers › Streaming Kernel PCA with Õ(√(n)) Random Features

Streaming Kernel PCA with Õ(√(n)) Random Features

2 Aug 2018arXiv:1808.00934archive 2025-07-28

Enayat Ullah, Poorya Mianjy, Teodor V. Marinov, Raman Arora

We study the statistical and computational aspects of kernel principal component analysis using random Fourier features and show that under mild assumptions, O(√(n) logn) features suffices to achieve O(1/ϵ²) sample complexity. Furthermore, we give a memory efficient streaming algorithm based on classical Oja's algorithm that achieves this rate.

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