code: def apply_rbf_kernel_with_adaptive_precision(
      X: np.ndarray,
  ) -> np.ndarray:
      """Estimates the RBF (Gaussian) kernel for the given input data. Here, each column is scaled by an individual
      precision parameter which is automatically inferred from the data.
  
      :param X: Input data.
      :return: The outcome of applying a RBF (Gaussian) kernel on the data.
      """
      X = shape_into_2d(X)
  
      result = np.ones((X.shape[0], X.shape[0]))
      for i in range(X.shape[1]):
          distance_matrix = euclidean_distances(X, squared=True)
          result *= np.exp(
              -_median_based_precision(distance_matrix)
              * distance_matrix
          )
  
      return result
  
file_path: dowhy/dowhy/gcm/independence_test/kernel_operation.py
imports: from typing import Optional
  import numpy
  from sklearn.kernel_approximation import Nystroem
  from sklearn.metrics import euclidean_distances
  from dowhy.gcm.util.general import shape_into_2d
label_desc: Use image node_id 2 for calling a global function with example usage: apply_rbf_kernel_with_adaptive_precision(X) and returns: result