Gene selection and cancer classification methods based on Monte Carlo and nonnegative matrix factorization
A factorization, non-negative matrix technology, applied in the field of stoichiometry, which can solve the problems of missing a lot of information and losing important information of the original gene data.
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[0014] The present invention will be described in detail below in combination with specific embodiments.
[0015] The non-negative matrix factorization method combines multivariate m x n data V decomposed into two non-negative W data and H data, namely:
[0016]
[0017] (1) In the formula, the rank of the matrix r is less than or equal to m with n The positive integer of is generally taken as a matrix V rank. H Take it as the basis matrix, then W is the coefficient matrix. The principle of multiplication is as follows:
[0018]
[0019]
[0020] When the above iterative process continues, the distance keeps decreasing, Represents the Frobenius norm (F-norm). The iterative process continues until certain convergence criteria are met, e.g., the distance There are only small changes before and after a certain iteration. After convergence is reached, the vectors in the basis matrix tend to be sparse. Important genes can be found through sparse basis m...
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