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This paper studies the Schatten-$q$ error of low-rank matrix estimation by singular value decomposition under perturbation.
Das asymptotische verteilungsgesetz der eigenwerte linearer partieller differentialgleichungen (mit einer anwendung auf die theorie der hohlraumstrahlung)
Hermann Weyl · 1912
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Carl Eckart and Gale Young · 1936
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Leon Mirsky · 1960
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Per-Ake Wedin · 1972
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Donald F Morrison, Lauriston C Marshall, and Harry L Sahlin · 1976
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The optimal hard threshold for singular values is 4 / 3 4/\sqrt{3}
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Rank-one perturbation bounds for singular values of arbitrary matrices
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