code: def _std_avg_reduction_function(
      x: torch.Tensor,
      w: torch.Tensor,
      dim: int = 1,
      mu: Optional[torch.Tensor] = None,  # pre-computed mean
      std: Optional[torch.Tensor] = None,  # pre-computed std
  ):
      if std is None:
          std = _std_reduction_function(x, w, dim=dim, mu=mu)
      stdmean = std.mean(dim=-1, keepdim=True)
      return stdmean
  
imports: from abc import ABC, abstractmethod
  from enum import Enum
  from typing import Dict, Optional, Sequence, Tuple, Union
  import torch
  import torch.nn.functional
  from pytorch3d.implicitron.models.view_pooler.view_sampler import cameras_points_cartesian_product
  from pytorch3d.implicitron.tools.config import registry, ReplaceableBase
  from pytorch3d.ops import wmean
  from pytorch3d.renderer.cameras import CamerasBase
label_desc: Use image node_id 11 for calling a global function with example usage: _std_avg_reduction_function(x, w, dim, mu, std) and returns: stdmean