The Universal Approximation Theorem states that a neural network with a single hidden layer and a nonlinear activation function can approximate any continuous function.
Different neural network architectures are developed for various tasks, such as using transformers for natural language processing and convolutional networks for image classification.
Neural network architectures are inspired by the structure in the data, particularly from a physics perspective that involves symmetry and invariance.
Convolutional neural networks work well with images by preserving local information through kernels with learnable parameters, reducing the need to flatten all pixels and saving memory and computational resources.