diagonal: Diagonal Function

In msr: Morse-Smale Approximation, Regression and Visualization

Description

Diagonal Function, cosine along the diagonal of a d-dimensional hypercube with exponential enevlope orthogonal to diagonal.

f(x) = \frac{1}{2} \cos( \frac{ √(<x, v>) }{√(d)pπ} ) \exp( \frac{ || x ||^2 - <x, v> }{d} ) with v = \frac{\mathbf{1}}{√(d)} the unit length digonal vector .

Value

returns N samples form the diagonal function

Author(s)

Samuel Gerber

Examples

data(diagonal)

d <- diagonal()

d <- diagonal(d = 3, p = 4, N=2000)

msr documentation built on May 30, 2017, 4:23 a.m.