spiral

hyppo.tools.spiral(n, p, noise=False, low=0, high=5)

Spiral simulation.

Spiral $(X,Y)\in {\mathbb{R}}^p\times \mathbb{R}$: $U\sim \mathcal{U}(0,5)$, $ϵ\sim \mathcal{N}(0,1)$

$$\begin{array}{rl}{X}_{|d|}& =U\sin (\pi U){\cos }^d(\pi U)\mathrm{for}d=1,...,p-1\\ X_{|p|}& =U{\cos }^p(\pi U)\\ Y& =U\sin (\pi U)+0.4pϵ\end{array}$$

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

• high (float, default: 5) -- 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.

Examples using hyppo.tools.spiral

MGC Map

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