Image classification and feature selection method based on robust least two regression framework
A feature selection method and least squares technique, applied in character and pattern recognition, instruments, computer parts, etc., can solve problems such as poor validity and classification accuracy, sensitivity to noise and abnormal points, etc., to achieve enhanced robustness, The effect of improving robustness and accuracy, eliminating the effect of noise and outliers on results
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[0050] Now in conjunction with embodiment, accompanying drawing, the present invention will be further described:
[0051]The present invention proposes a robust least squares regression framework for image classification and feature selection, assuming the original data matrix is Among them, n is the number of sample points, d is the dimension of sample points, and there are c categories. The label matrix is Where the elements are 0 or 1, if y ij =1, it means that the i-th sample point belongs to the j-th class. The transformation matrix and bias vector are respectively and The objective function consists of a loss function and a regularization term:
[0052]
[0053] in, is the error square of the i-th sample; g(z) is an arbitrary concave function about z; γ is a regularization parameter used to balance the loss function and the regularization term R(W), and R(W) is a regularization term, It has the form R 1 (W)=||W|| 1 , R 2 (W)=||W|| F , R 3 (W)=||W|| ...
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