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

$$\log ({\mathrm{\Gamma }}_p(a))=C+{\displaystyle \sum _{i=1}^p\log \left(\mathrm{\Gamma }(a-\frac{i-1}{2})\right)}$$ where $C=\log (\pi )\times \frac{p(p-1)}{4}$ and $\mathrm{\Gamma }(\cdot )$ 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
#>  0.7078  0.3915  0.4035
#>  0.4049  0.3901  1.0921
#> [ CPUFloatType{2,3} ]