Deep neural network image recognition method based on structured natural gradient optimization
A deep neural network and natural gradient technology, applied in the field of deep neural network image recognition, to achieve the effect of excellent recognition performance and fast convergence speed
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[0051] by figure 1 The MLP network shown is taken as an example, which can be optimized based on the structured natural gradient descent method based on the above-mentioned hierarchical structured natural gradient optimization idea. Such as figure 2 As shown, where f is an activation function, such as a linear rectification function (ReLU), an S-shaped function (Sigmoid), and the like. Taking the Sigmoid activation function as an example, for each neuron of the Sigmoid activation function, there are:
[0052]
[0053]Among them, v Sigmoid Represents the derivative of the Sigmoid activation function, Represents the transpose of the parameter vector w. x represents the input of the network layer.
[0054] The optimization method is as follows:
[0055] initialization They are all identity matrices.
[0056] Step A: Calculate (* represents an intermediate symbol representation operation on the original matrix), means G 1 the negative square root of the matrix, ...
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