code: def test_whitened_inputs(self, diagonal_spatial):
      test_utils.skip_test(self)
  
      x = jnp.cos(random.normal(random.PRNGKey(1), (4 * 8 * 8, 512)))
      cov = x @ x.T
      whiten = jnp.linalg.cholesky(jnp.linalg.inv(cov))
      x_white = whiten.T @ x
      cov_white = x_white @ x_white.T
      self.assertAllClose(jnp.eye(x.shape[0]), cov_white)
  
      width = 256
  
      scales = random.normal(random.PRNGKey(2), (4, 8, 8, 1))
  
      x_white = x_white.reshape((4, 8, 8, 512)) * scales
      x = x.reshape(x_white.shape) * scales
  
      init_fn, apply_fn, kernel_fn = stax.serial(
          stax.AvgPool((2, 3)),
          stax.ConvLocal(
              width, (3, 1), padding="SAME", W_std=4.2, b_std=0.09
          ),
          stax.Relu(),
          stax.Conv(
              width, (2, 3), padding="SAME", W_std=3.8, b_std=0.04
          ),
          stax.Relu(),
          stax.ConvLocal(
              width, (2, 2), padding="SAME", W_std=6.4, b_std=0.1
          ),
          stax.GlobalAvgPool(),
      )
  
      k_white = kernel_fn(
          x_white, None, diagonal_spatial=diagonal_spatial
      )
      self._test_against_mc(
          apply_fn, init_fn, k_white.nngp, x_white, None
      )
  
      k = kernel_fn(x, None, diagonal_spatial=diagonal_spatial)
  
      if diagonal_spatial:
          with self.assertRaises(AssertionError):
              self._test_against_mc(apply_fn, init_fn, k.nngp, x, None)
      else:
          self._test_against_mc(apply_fn, init_fn, k.nngp, x, None)
  
imports: import itertools
  import random
  import string
  import time
  from absl.testing import absltest
  from jax import default_backend
  from jax import jit
  from jax import lax
  from jax import random
  from jax import vjp
  from jax import config
  import jax.numpy
  import more_itertools
  import neural_tangents
  from neural_tangents import stax
  from neural_tangents._src.empirical import _DEFAULT_TESTING_NTK_IMPLEMENTATION
  from neural_tangents._src.utils import utils
  from tests import test_utils
  import numpy
label_desc: Use image node_id 1 for calling the ConvLocalTest obj's underlying member method code with example usage: obj.test_whitened_inputs(diagonal_spatial) without return types