Asymptotic expansions of the distributions of the linear and the quadratic discriminant functions are derived. The expected misclassification probabilities of these two functions are compared when the ...

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.

In part I of this work, bounds were derived for the effective potentials of nonlinear composites with anisotropic constituents, making use of an appropriate generalization of the linear comparison ...

For this, you also need non-linear thresholding functions that adjust the weights between the layers of neurons.

Asymmetric interactions between different species of molecules have previously been demonstrated to result in self-organized ...