torch_mvlgamma {torch}

Mvlgamma

Description

Mvlgamma

Usage

torch_mvlgamma(self, p)

Arguments

self

(Tensor) the tensor to compute the multivariate log-gamma function

p

(int) the number of dimensions

mvlgamma(input, p) -> Tensor

Computes the ⁠multivariate log-gamma function <https://en.wikipedia.org/wiki/Multivariate_gamma_function>⁠_) with dimension p element-wise, given by

\log(\Gamma_{p}(a)) = C + \displaystyle \sum_{i=1}^{p} \log\left(\Gamma\left(a - \frac{i - 1}{2}\right)\right)

where C = \log(\pi) \times \frac{p (p - 1)}{4} and \Gamma(\cdot) is the Gamma function.

All elements must be greater than \frac{p - 1}{2}, otherwise an error would be thrown.

Examples

if (torch_is_installed()) {

a = torch_empty(c(2, 3))$uniform_(1, 2)
a
torch_mvlgamma(a, 2)
}