Can someone explain to me why advances in actual model performance come from using analogies from physics when there are papers that supposedly provide a mathem

Can someone explain to me why advances in actual model performance come from using analogies from physics when there are papers that supposedly provide a mathematical explanation of convolution? "A Mathematical Theory of Deep ConvolutionalNeural Networks for Feature Extraction": https://arxiv.org/pdf/1512.06293.pdf https://arxiv.org/pdf/1512.06293.pdf "Understanding Convolutional Neural Networks with A Mathematical Model": https://arxiv.org/pdf/1609.04112.pdf https://arxiv.org/pdf/1609.04112.pdf