fv_frame_orthogonality_residual#
- t3toolbox.backend.fv_operations.fv_frame_orthogonality_residual(frame)#
def fv_frame_orthogonality_residual( frame: typ.Tuple[ typ.Sequence[NDArray], # up_tucker_cores typ.Sequence[NDArray], # down_tt_cores typ.Sequence[NDArray], # left_tt_cores typ.Sequence[NDArray], # right_tt_cores ], ) -> NDArray: # shape = stack_shape (per stack element; scalar/0-d when unstacked)
Max deviation from orthogonality of the four frame core families, per stack element.
Checks each stacked block’s gram against the identity:
up_tucker U_i (all i), outer/down D_i (all i),
left L_i (i=0..d-2), right R_i (i=1..d-1).
The last left core and first right core are boundary remainders and are not checked. Returns the max absolute deviation reduced over the non-stack axes (shape
stack_shape); a caller thresholds it (<= atol) for a per-element boolean orthogonality test.