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Results tagged with linear-algebra
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user 109500
A field of mathematics concerned with the study of finite dimensional vector spaces, including matrices and their manipulation, which are important in statistics.
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Why spectral norm low-rank approximation error is stronger than frobenius norm?
Suppose a rank $k$ matrix $Z$ with orthonormal columns $z_1,..., z_k$ satisfies
Frobenius Norm Error: $$\|A − ZZ^TA_k\|_F ≤ (1 + \epsilon)\|A − A_k\|_F -- (1)$$
It is said that Frobenius norm error i …
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