step

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

Step simulation.

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

$$\begin{array}{rl}X& \sim \mathcal{U}(-1,1{)}^p\\ Y& ={\mathbb{1}}_{w^{T}X>0}+ϵ\end{array}$$

where $\mathbb{1}$ is the indicator function.

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, 1) where n is the number of samples and p is the number of dimensions.

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