Gene-gene interaction recognition method based on sparsity factor analysis
An interaction and gene technology, applied in the field of genetics, can solve the problem of insufficient recognition ability of gene-gene interaction
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[0014] Suppose K={1,2,...,k} is a set of SNP sites, code x k ={-1,0,1}, k∈K; y={0,1} is a binary quality trait, define M={1,2,...,m}, mm , m∈M; n×k matrix X is the standardized genotype coding matrix, and n×m matrix Z is the hidden variable matrix. Define a linear transformation W with dimension k×m, which satisfies Z=XW and X′=ZW T , and define the residual matrix as Ψ=X-X′.
[0015] The model structure is as figure 2 As shown, the genotype coding matrix X is projected onto the latent variable matrix Z through the linear mapping W, and then through the linear transformation ZW T Restore to X', and minimize the error term Ψ. Among them, according to the sparsity assumption, the dimension m<<k of Z, and most elements of W are 0.
[0016] Assuming that the error function of data X and X′ is l, the model can be expressed as:
[0017]
[0018] Among them, ρ and γ are both adjustment parameters. When γ approaches +∞, the model approaches LASSO, and when γ approaches 1, the...
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