sin_sixteen_pi

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

Sine 16\(\pi\) simulation.

Sine 16\(\pi\) \((X, Y) \in \mathbb{R}^p \times \mathbb{R}^p\): \(U \sim \mathcal{U}(-1, 1)\), \(V \sim \mathcal{N}(0, 1)^p\), \(\theta = 16 \pi\),

\[\begin{split}X_{|d|} &= U + 0.02 p V_{|d|}\ \mathrm{for}\ d = 1, ..., p \\ Y &= \sin (\theta X) + \kappa \epsilon\end{split}\]
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) -- 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.