Optimization of Artificial Neural Networks using Wavelet Transforms

The article presents the artificial neural networks performance optimization using wavelet transform. The existing approaches of wavelet transform implementation in neural networks imply either transformation before neural network or using "wavenet" architecture, which requires new neural network training approaches. The proposed approach is based on the representation of the neuron as a nonrecursive adaptive filter and wavelet filter application to obtain the low-frequency part of the image. It reduces the image size and filtering interference, which is usually high-frequency. Our wavelet transform model is based on the classical representation of a forward propagation neural network or convolutional layers. It allows designing neural networks with the wavelet transform based on existing libraries and does not require changes in the neural network training algorithm. It was tested on three MNIST-like datasets. As a result of testing, it was found that the speed gain is approximately 50 +/- 5% with a slight loss of recognition quality of no more than 4%. For practitioner programmers, the proposed algorithm was tested on real images to distinguish animals and showed similar results as the MNIST-like tests.