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 ...

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.

The result of such nonlinear non-reciprocal interactions is the coexistence of run-and-chase dynamics and phase separation. Moreover, since the role of the two species can reverse dynamically, the ...