exponential¶

hyppo.tools.exponential(n, p, noise=False, low=0, high=3)¶

Exponential simulation.

Exponential \((X, Y) \in \mathbb{R}^p \times \mathbb{R}\):

\[\begin{split}X &\sim \mathcal{U}(0, 3)^p \\ Y &= \exp (w^T X) + 10 \kappa \epsilon\end{split}\]

Parameters

n (int) -- The number of samples desired by the simulation (>= 5).
p (int) -- The number of dimensions desired by the simulation (>= 1).
noise (bool, default: False) -- Whether or not to include noise in the simulation.
low (float, default: 0) -- The lower limit of the uniform distribution simulated from.
high (float, default: 3) -- The upper limit of the uniform distribution simulated from.

Returns

x,y (ndarray of float) -- Simulated data matrices. x` and ``y have shapes (n, p) and (n, 1) where n is the number of samples and p is the number of dimensions.

linear

cubic