sin_four_pi

hyppo.tools.sin_four_pi(n, p, noise=False, low=- 1, high=1)

Sine 4$\pi$ simulation.

Sine 4$\pi$ $(X,Y)\in {\mathbb{R}}^p\times {\mathbb{R}}^p$: $U\sim \mathcal{U}(-1,1)$, $V\sim \mathcal{N}(0,1{)}^p$, $\theta =4\pi$,

$$\begin{array}{rl}{X}_{|d|}& =U+0.02p{V}_{|d|}\mathrm{for}d=1,...,p\\ Y& =\sin (\theta X)+\kappa ϵ\end{array}$$

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: -1) -- The lower limit of the uniform distribution simulated from.

• high (float, default: 1) -- 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, p) where n is the number of samples and p is the number of dimensions.

previous

fourth_root

next

sin_sixteen_pi