Mvlgamma
Source:R/gen-namespace-docs.R, R/gen-namespace-examples.R, R/gen-namespace.R
torch_mvlgamma.RdMvlgamma
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)
}
#> torch_tensor
#> 0.3901 0.9054 0.3992
#> 0.8075 0.4485 0.4022
#> [ CPUFloatType{2,3} ]