plotcritpts2d () plots the toy problem function in 3D in the theta-phi plane and marks critical points. grad (t,p) returns the gradient at the point (t,p). Uses the gradient for spherical coordinates.

The slope is a value that indicates the rate at which the y value of a line rises or falls as the x value increases. Using the SLOPE function in Excel, you can find this value for a set of ...

Gradient variance errors in gradient-based search methods are largely mitigated using momentum, however the bias gradient errors may fail the numerical search methods in reaching the true optimum. We ...

Nesterov, Y. (2012) Gradient Methods for Minimizing Composite Functions. Mathematical Programming, 140, 125-161.

The design of gradient coils is sometimes perceived as complex and counterintuitive. However, a current density is connected to a stream function in fact by a simple relation. Here we present an ...

The design of high-performance gradient coils is essential for modern magnetic resonance imaging (MRI) applications. This work presents a new and alternative design methodology that explores ...