In this problem, the optimal path is one that maximizes the expected utility, with the utility function being piecewise-linear and concave. Such a utility function can be used to approximate nonlinear ...

High-dimensional loading parameters are allowed in our development, under reasonable theoretical conditions. Thus, we propose a regularized estimation procedure to select the significant nonzero ...

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

This method, currently used mainly in physics and biology, attempts to capture data by proposing a differential equation from an array of suggested linear and nonlinear functions. Using this method, ...

It formalizes circular causalities between order and control parameters into a set of nonlinear difference equations and shows how self-organized thresholds create critical instabilities and ...