sin_four_pi¶
- hyppo.tools.sin_four_pi(n, p, noise=False, low=- 1, high=1)¶
Sine 4\(\pi\) simulation.
Sine 4\(\pi\) \((X, Y) \in \mathbb{R}^p \times \mathbb{R}^p\): \(U \sim \mathcal{U}(-1, 1)\), \(V \sim \mathcal{N}(0, 1)^p\), \(\theta = 4 \pi\),
\[\begin{split}X_{|d|} &= U + 0.02 p V_{|d|}\ \mathrm{for}\ d = 1, ..., p \\ Y &= \sin (\theta X) + \kappa \epsilon\end{split}\]- 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:-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 (
ndarrayoffloat) -- Simulated data matrices.x` and ``yhave shapes(n, p)and(n, p)where n is the number of samples and p is the number of dimensions.