On infinitely wide neural networks that exhibit feature learning
In the pursuit of learning about fundamentals of the natural world, scientists have had success with coming at discoveries from both a bottom-up and top-down approach. Neuroscience is a great example of the former. Spanish anatomist Santiago Ramón y Cajal discovered the neuron in the late 19th century. While scientists’ understanding of these building blocks of the brain has grown tremendously in the past century, much about how the brain works on the whole remains an enigma. In contrast, fluid dynamics makes use of the continuum assumption, which treats the fluid as a continuous object. The assumption ignores fluid’s atomic makeup yet makes accurate calculations simpler in many circumstances.
When it comes to neural networks (NNs), one way to build