Data mining improved type K mean value clustering method based on linear discriminant analysis
A technology of linear discriminant analysis and clustering method, applied in the field of hm) algorithm, which can solve problems such as inability to cluster analysis of high-dimensional data, inability to achieve fast processing of high-dimensional data, etc.
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[0049] Algorithm definition
[0050] In the key technology of the present invention (Linear Discriminant Analysis LDA), we minimize the intra-class distance as much as possible while maximizing the inter-class distance, and obtain the optimal projection direction to produce the best classification results, that is, choose such that The feature description sample that maximizes the ratio of the sample's inter-class dispersion to the sample's intra-class dispersion. For a given matrix A∈R d×n (R d×n represents the n-dimensional real linear space composed of all d×n real matrices), and a transformation matrix G∈R can be generated by using linear discriminant analysis d×l (R d×l represents the l-dimensional real linear space composed of all d×l real matrices), and each column vector a of the matrix A in the n-dimensional space i One-to-one mapping to vector y in l-dimensional space i ,which is:
[0051] the y i =G T a i ∈ R l (l
[0052] Divide the matri...
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