Synonyms
Latent semantic indexing; Principle component analysis; SVD transformation
Definition
The SVD definition of a matrix is illustrated as follows [1]: For a real matrix A = [aij]m × n, without loss of generality, suppose m ≥ n and there exists SVD of A (shown in Fig. 1):
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Recommended Reading
Datta B. Numerical linear algebra and application. Pacific Grove: Brooks/Cole Publishing Company; 1995.
Hofmann T. Latent semantic models for collaborative filtering. ACM Trans Inf Syst. 2004;22(1):89–115.
Zhang Y, Yu JX, Hou J. Web communities: analysis and construction. Berlin: Springer; 2006.
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Zhang, Y., Xu, G. (2018). Singular Value Decomposition. In: Liu, L., Özsu, M.T. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8265-9_538
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DOI: https://doi.org/10.1007/978-1-4614-8265-9_538
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