code: def init(
      model: Model[InT, OutT],
      X: Optional[InT] = None,
      Y: Optional[OutT] = None,
  ) -> None:
      if X is not None:
          if model.has_dim("nI") is not False:
              model.set_dim("nI", get_width(X))
          for layer in model.layers:
              if layer.has_dim("nI") is not False:
                  layer.set_dim("nI", get_width(X))
      if Y is not None:
          if model.has_dim("nO") is not False:
              model.set_dim("nO", get_width(Y))
          for layer in model.layers:
              if layer.has_dim("nO") is not False:
                  layer.set_dim("nO", get_width(Y))
      for layer in model.layers:
          layer.initialize(X=X, Y=Y)
      model.set_dim("nO", model.layers[0].get_dim("nO"))
  
imports: from typing import Any, Callable, Dict, Optional, Tuple, TypeVar
  from ..config import registry
  from ..model import Model
  from ..types import ArrayXd, XY_XY_OutT
  from ..util import get_width
label_desc: Use image node_id 3 for calling a global function with example usage: init(model, X, Y) without return types