Function library

The function library functions contains useful mathematical functions used frequently in many contexts

• sp = softplus(s,x) Softplus function sp(x) = ln(1 + exp(x-s)) that accepts scalar or vector values of x.
• l = logistic(s, x) Logistic function l(x) 1/(1 + exp(-(x-s)) that accepts scalar of vector values of x.
• g = gaussian(x, x0, Delta) Normalized Gaussain function g(x) = (Delta sqrt(2*pi))^(-1) * exp( (x-x0)^2/(2*Delta^2) ) that accepts scalar or vector values of x.
• r = rosenbrock(x, y[, a, b]) Rosenbrock function r(x) = (a-x)^2 + b*(y-x^2)^2) that accepts scalar or vector values of x and y. Optional arguments are a=1 and b=100 by default.