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Non-linear physics is the study of systems where the output is not directly proportional to the input. Unlike linear systems, which follow simple, predictable relationships, non-linear systems exhibit ...
While I do spend lots of time pushing the idea of linear approximations on my students, we do need nonlinear functions to describe most interesting physical phenomena.
For this, you also need non-linear thresholding functions that adjust the weights between the layers of neurons.
A linear function would fit the data only to a straight line, whereas nonlinear functions can capture more interesting behaviors. “The curve of your activation function is introducing that ...