two_parabolas

hyppo.tools.two_parabolas(n, p, noise=False, low=- 1, high=1, prob=0.5)

Two Parabolas simulation.

Two Parabolas $(X,Y)\in {\mathbb{R}}^p\times {\mathbb{R}}^p$:

$$\begin{array}{rl}X& \sim \mathcal{U}(-1,1{)}^p\\ Y& =((w^{T}X{)}^2+2\kappa ϵ)\times (U=\frac{1}{2})\end{array}$$

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.

• prob (float, default: 0.5) -- The probability of the bernoulli 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.

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