diamond

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

Diamond simulation.

Diamond $(X,Y)\in {\mathbb{R}}^p\times {\mathbb{R}}^p$: $U\sim \mathcal{U}(-1,1)$, $V\sim \mathcal{N}(0,1{)}^p$, $\theta =-\frac{\pi }{4}$,

$$\begin{array}{rl}{X}_{|d|}& =U\cos (\theta )+V\sin (\theta )+0.05p{ϵ}_{|d|}\mathrm{for}d=1,...,p\\ Y_{|d|}& =-U\sin (\theta )+V\cos (\theta )\end{array}$$

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.

Returns

x,y (ndarray of float) -- Simulated data matrices. x` and ``y have shapes (n, p) and (n, p) where n is the number of samples and p is the number of dimensions.

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