code: def vectorize(fn, num_particles, max_plate_nesting):
      def _fn(*args, **kwargs):
          with pyro.plate(
              "num_particles_vectorized",
              num_particles,
              dim=-max_plate_nesting - 1,
          ):
              return fn(*args, **kwargs)
  
      return _fn
  
imports: import math
  from abc import ABCMeta, abstractmethod
  import torch
  from torch.distributions import biject_to
  import pyro
  from pyro import poutine
  from pyro.distributions import Delta
  from pyro.distributions.util import copy_docs_from
  from pyro.infer.autoguide.guides import AutoContinuous
  from pyro.infer.autoguide.initialization import init_to_sample
  from pyro.infer.trace_elbo import Trace_ELBO
label_desc: Use image node_id 1 for calling a global function with example usage: vectorize(fn, num_particles, max_plate_nesting) and returns: _fn, fn