spd_learn.functional.gbw_inverse_chart#

spd_learn.functional.gbw_inverse_chart(x: Tensor, metric: Tensor, power=1.0)[source]#

Invert the power-deformed BW chart.

Parameters:

  • x (torch.Tensor) – Real SPD matrices of shape (…, n, n).

  • metric (torch.Tensor) – SPD metric of shape (…, n, n), broadcastable with x.

  • power (float or torch.Tensor, default=1.0) – Positive scalar deformation exponent.

Returns:

Real SPD matrices with broadcast leading axes.

Return type:

torch.Tensor

Notes

Computes (M^(1/2) X M^(1/2))^(1/power). Use the same metric and power as the forward chart.