Machine learningMatrix Factorization
Uchanganuzi wa Thamani Pekee
Uchanganuzi wa Thamani Pekee (SVD) ni mbinu msingi ya ugawanyaji wa matriki ambayo huigawanya matriki yoyote m × n iitwaye A katika bidhaa A = U Σ V^T, ambapo U na V ni matriki za kipeo na Σ ni matriki bapa yenye thamani pekee. Iliyotengenezwa na Gene Golub na wengineo katika miaka ya 1960–1970, SVD ndiyo njia imara zaidi ya kuchanganua muundo wa matriki na kutatua mifumo ya mstari.
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Vyanzo
- Golub, G. H., & Kahan, W. (1970). Calculating the singular values and pseudo-inverse of a matrix. Journal of the SIAM Series B: Numerical Analysis, 2(2), 205–224. DOI: 10.1137/0702016 ↗
- Golub, G. H., & Van Loan, C. F. (1983). Matrix computations (2nd ed.). Johns Hopkins University Press. ISBN: 0801854148
- Trefethen, L. N., & Bau, D. (1997). Numerical Linear Algebra. SIAM. DOI: 10.1137/1.9780898719574 ↗
Jinsi ya kunukuu ukurasa huu
ScholarGate. (2026, June 3). Singular Value Decomposition (SVD). ScholarGate. https://scholargate.app/sw/numerical-methods/singular-value-decomposition
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