code: def capacitance_tril(F, rank: Tensor, W: Tensor, D: Tensor) -> Tensor:
      r"""
  
      Parameters
      ----------
      F
      rank
      W : (..., dim, rank)
      D : (..., dim)
  
      Returns
      -------
          the capacitance matrix :math:`I + W^T D^{-1} W`
  
      """
      # (..., dim, rank)
      Wt_D_inv_t = F.broadcast_div(W, D.expand_dims(axis=-1))
  
      # (..., rank, rank)
      K = F.linalg_gemm2(Wt_D_inv_t, W, transpose_a=True)
  
      # (..., rank, rank)
      Id = F.broadcast_mul(F.ones_like(K), F.eye(rank))
  
      # (..., rank, rank)
      return F.linalg.potrf(K + Id)
  
imports: import math
  from typing import Optional, Tuple
  import numpy
  from mxnet import gluon
  from gluonts.core.component import validated
  from gluonts.mx import Tensor
  from .distribution import Distribution, _sample_multiple, getF
  from .distribution_output import ArgProj, DistributionOutput, AffineTransformedDistribution
label_desc: Use image node_id 1 for calling a global function with example usage: capacitance_tril(F, rank, W, D) and returns: F