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• W2078154603 abstract "In various applications, data in multidimensional space are normalized to unit length. This paper considers the problem of best fitting given points on the m-dimensional unit sphere Sm-1 by k-dimensional great circles with k much less than m. The task is cast as an algebraically constrained low-rank matrix approximation problem. Using the fidelity of the low-rank approximation to the original data as the cost function, this paper offers an analytic expression of the projected gradient which, on one hand, furnishes the first order optimality condition and, on the other hand, can be used as a numerical means for solving this problem." @default.
• W2078154603 created "2016-06-24" @default.
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• W2078154603 date "2005-01-01" @default.
• W2078154603 modified "2023-10-12" @default.
• W2078154603 title "On the Low-Rank Approximation of Data on the Unit Sphere" @default.
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• W2078154603 doi "https://doi.org/10.1137/s0895479803433295" @default.
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