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- W3208168182 abstract "We study efficient distributed algorithms for the fundamental problem of principal component analysis and leading eigenvector computation on the sphere, when the data are randomly distributed among a set of computational nodes. We propose a new quantized variant of Riemannian gradient descent to solve this problem, and prove that the algorithm converges with high probability under a set of necessary spherical-convexity properties. We give bounds on the number of bits transmitted by the algorithm under common initialization schemes, and investigate the dependency on the problem dimension in each case." @default.
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- W3208168182 date "2021-10-27" @default.
- W3208168182 modified "2023-10-06" @default.
- W3208168182 title "Distributed Principal Component Analysis with Limited Communication" @default.
- W3208168182 hasPublicationYear "2021" @default.
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