Fault diagnosis method based on non-equal-weighted local preserving embedding
A technology of local retention embedding and fault diagnosis, which is applied in the direction of computer components, instruments, characters and pattern recognition, etc., can solve the problems of ignoring the local retention ability of characteristic variables, and the inability to effectively capture the structural changes of the map, so as to enhance the fault diagnosis ability Effect
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[0057] The present invention will be described in detail below in conjunction with the accompanying drawings.
[0058] Such as figure 1 As shown, the present invention relates to a fault diagnosis method based on unequal weight local preservation embedding, and the specific implementation steps of the method are as follows:
[0059] (1) Establish the NPE model and obtain the reconstruction weight W of the sample. The sub-steps to solve the reconstructed weight matrix for a sample are as follows:
[0060] (1.1) Given a data set of different classes X=[x 1 ,x 2 ,...,x n ]∈R m×n , then the objective function of NPE is:
[0061] min W′ ∑ i ||x i -∑ j w' ij x j || 2
[0062] s.t.∑ j w' ij =1,j=1,2,...,n (1)
[0063] Using the Lagrange multiplier method, get x ij The reconstruction weight w′ of ij = 1 T C -1 / 1 T C -1 1, where C=(x i -x j ) T (x i -x k ), k is the neighbor x j The number of , 1 is a matrix whose elements are all 1. W i =(w i1 ,w i2 ,...
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