code: def approximate_round(X: Tensor, tau: float = 1e-3) -> Tensor:
      r"""Diffentiable approximate rounding function.
  
      This method is a piecewise approximation of a rounding function where
      each piece is a hyperbolic tangent function.
  
      Args:
          X: The tensor to round to the nearest integer (element-wise).
          tau: A temperature hyperparameter.
  
      Returns:
          The approximately rounded input tensor.
      """
      offset = X.floor()
      scaled_remainder = (X - offset - 0.5) / tau
      rounding_component = (torch.tanh(scaled_remainder) + 1) / 2
      return offset + rounding_component
  
file_path: botorch/botorch/utils/rounding.py
imports: from __future__ import annotations
  import torch
  from torch import Tensor
  from torch.autograd import Function
  from torch.nn.functional import one_hot
label_desc: Use image node_id 1 for calling a global function with example usage: approximate_round(X, tau) and returns: unknown