A Prestack Seismic Reflection Pattern Analysis Method Based on Tensor Discriminant Dictionary
A pre-stack seismic and pattern analysis technology, applied in character and pattern recognition, seismology, seismic signal processing, etc., can solve problems such as failure to take into account, loss, etc., and achieve good robustness, high classification accuracy, and robustness good sticky effect
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[0062] Technology related to the present invention
[0063] In this invention, the following notation is used: Tensors are represented by underlined bold letters, e.g. is a three-dimensional tensor. Matrices (2D arrays) are denoted by italic uppercase letters, vectors are denoted by bold italic lowercase letters, scalars are denoted by italic lowercase letters, w are examples of matrices, vectors, and scalars, respectively. m i and v i Respectively, the size of the target data and the i-th dimension of the corresponding sparse coefficient.
[0064] 1. Dictionary learning
[0065] Given a vector signal a dictionary Among them, D is an over-complete dictionary (m 1 1 ), is the i-th atom in the dictionary. The sparse representation of the signal means that in a given over-complete dictionary D, the signal x can be reconstructed by linear summation of a few dictionary atoms, and a more concise representation of the signal can be obtained. At this time, the represent...
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