two_parabolas¶
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hyppo.tools.two_parabolas(n, p, noise=False, low=- 1, high=1, prob=0.5)¶ Two Parabolas simulation.
Two Parabolas \((X, Y) \in \mathbb{R}^p \times \mathbb{R}^p\):
\[\begin{split}X &\sim \mathcal{U}(-1, 1)^p \\ Y &= ((w^T X)^2 + 2 \kappa \epsilon) \times \left( U = \frac{1}{2} \right)\end{split}\]- 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.prob (
float, default:0.5) -- The probability of the bernoulli distribution simulated from.
- Returns
x,y (
ndarray) -- Simulated data matrices.x` and ``yhave shapes(n, p)and(n, 1)where n is the number of samples and p is the number of dimensions.