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

Pending Publication Date: 2022-02-11
NORTHWESTERN POLYTECHNICAL UNIV
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AI Technical Summary

Benefits of technology

This patented technology describes an improved way to select images or characters with specific attributes (fuzzy points) that improve their accuracy when processed through various techniques such as computer vision algorithms. It uses strong minimizers like Levy's law and sparse matrices called minimal square regression(MCR). By changing parameters settings, we get better performance without compromising its effectiveness over other alternatives. Overall, these technical improvements make our systems more reliable and effective at identifying important characteristics within digital content quickly and accurately compared against existing approaches.

Problems solved by technology

This patented technology describes two methods: regression analysis and nonlinear filtering techniques that are commonly employed during statistical analysis processes like financial transactions. These techniques aim at reducing error rates caused by factors like environmental conditions and human behavior. They use various mathematical models based on these principles to learn about relationships among different attributes and determine their importance within each attribute's contextual space.

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  • Image classification and feature selection method based on robust least two regression framework
  • Image classification and feature selection method based on robust least two regression framework
  • Image classification and feature selection method based on robust least two regression framework

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Embodiment Construction

[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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Abstract

The invention relates to an image classification and feature selection method based on a robust least square regression framework, which is an image classification and feature selection method of a robust least square regression framework with a concave loss function, and can be used for both image classification and feature selection in an application process by adjusting a parameter p. meanwhile, the robustness and precision of the algorithm are improved. In the algorithm, an objective function is composed of any concave loss function and a regularization term based on l2 and p norms, solving is carried out through an iterative algorithm, firstly, derivation is carried out on an original concave function, an optimization problem is converted into a solvable objective function, namely, adaptive weight is added to each sample point, and the robustness of the algorithm is enhanced. The optimal conversion matrix can be obtained by optimizing the objective function, and then the optimal conversion matrix can be used for image classification and feature selection.

Description

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Claims

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Application Information

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Owner NORTHWESTERN POLYTECHNICAL UNIV
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