QUIC-SVD: Fast SVD Using Cosine Trees

نویسندگان

  • Michael P. Holmes
  • Alexander G. Gray
  • Charles Lee Isbell
چکیده

The Singular Value Decomposition is a key operation in many machine learning methods. Its computational cost, however, makes it unscalable and impractical for applications involving large datasets or real-time responsiveness, which are becoming increasingly common. We present a new method, QUIC-SVD, for fast approximation of the whole-matrix SVD based on a new sampling mechanism called the cosine tree. Our empirical tests show speedups of several orders of magnitude over exact SVD. Such scalability should enable QUIC-SVD to accelerate and enable a wide array of SVD-based methods and applications.

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تاریخ انتشار 2008