A representation and classification method of high-order and high-dimensional image data
An image data and classification method technology, applied in the field of pattern recognition, can solve the problems of data pollution and distortion, damage and loss, loss of correlation information between pixels, etc., to avoid dimensional disaster, improve classification accuracy, and reduce the number of features.
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[0054] Step 1: Represent image data in tensor form:
[0055] For example: We have 1000 grayscale images, divided into 5 categories with 200 images each, and the image resolution is 960x1024. For each image, it is expressed as a 2-order matrix Y∈R 960×1024 , then the entire data set can be expressed as a third-order tensor Y∈R 960×1024×1000 , where the first order is the row space of the image, the second order is the column space of the image, and the third order is the sample space of the image.
[0056] Step 2: Use the original data Y to calculate the low-rank projection matrix set {U 1 ∈R 960×960 ,U 2 ∈R 1024×1024}, and project the original data into the subspace according to the mode to obtain low-rank data
[0057] The essence of step 2 is to calculate the following optimization problem:
[0058]
[0059] where λ is a trade-off parameter for balancing low rank and projection error, D ∈ R 983040×1000 is a sparse representation dictionary, A∈R 1000×1000 is the...
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