Feature extraction method for ocean multi-dimensional asymmetric signal with given observation dimension
An asymmetric and dimensional technology, applied in the directions of instruments, computing, character and pattern recognition, etc., can solve problems such as biased estimation, estimation deviation, and ignoring heterogeneity of different dimensions
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[0065] Step 1, oceanic multidimensional asymmetric signal recombination
[0066] For multidimensional asymmetric ocean signal data, organize it into tensor form And divide the data according to different dimensional distribution characteristics. Define the data segmentation operator as shown in formula (1):
[0067]
[0068] in, Represents the sequence of tensor blocks divided according to the salient feature dimension, Represents a sequence of tensor blocks divided according to the hidden feature dimension.
[0069] for Because of the significant characteristic distribution, the tensor Tucker decomposition operator TensorTucker() can be used to obtain the characteristic components, as shown in formula (2):
[0070]
[0071] in They are the i-th tensor block chunk 1i Feature principal components in each dimension.
[0072] for Because of the implicit characteristic distribution, the tensor CP decomposition operator TensorCP() is used to obtain the characte...
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