logarithmic

hyppo.tools.logarithmic(n, p, noise=False)

Logarithmic simulation.

Logarithmic $(X,Y)\in {\mathbb{R}}^p\times {\mathbb{R}}^p$: $ϵ\sim \mathcal{N}(0,I_p)$,

$$\begin{array}{rl}X& \sim \mathcal{N}(0,I_p)\\ Y_{|d|}& =2{\log }_2(|X_{|d|}|)+3\kappa {ϵ}_{|d|}\mathrm{for}d=1,...,p\end{array}$$

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.

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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