code: def test_standardize(self):
      for dtype in (torch.float, torch.double):
          tkwargs = {"device": self.device, "dtype": dtype}
          Y = torch.tensor([0.0, 0.0], **tkwargs)
          self.assertTrue(torch.equal(Y, standardize(Y)))
          Y2 = torch.tensor([0.0, 1.0, 1.0, 1.0], **tkwargs)
          expected_Y2_stdized = torch.tensor(
              [-1.5, 0.5, 0.5, 0.5], **tkwargs
          )
          self.assertTrue(
              torch.equal(expected_Y2_stdized, standardize(Y2))
          )
          Y3 = torch.tensor(
              [[0.0, 1.0, 1.0, 1.0], [0.0, 0.0, 0.0, 0.0]], **tkwargs
          ).transpose(1, 0)
          Y3_stdized = standardize(Y3)
          self.assertTrue(
              torch.equal(Y3_stdized[:, 0], expected_Y2_stdized)
          )
          self.assertTrue(
              torch.equal(Y3_stdized[:, 1], torch.zeros(4, **tkwargs))
          )
          Y4 = torch.cat([Y3, Y2.unsqueeze(-1)], dim=-1)
          Y4_stdized = standardize(Y4)
          self.assertTrue(
              torch.equal(Y4_stdized[:, 0], expected_Y2_stdized)
          )
          self.assertTrue(
              torch.equal(Y4_stdized[:, 1], torch.zeros(4, **tkwargs))
          )
          self.assertTrue(
              torch.equal(Y4_stdized[:, 2], expected_Y2_stdized)
          )
  
imports: from typing import Any
  import torch
  from botorch.models import GenericDeterministicModel, HigherOrderGP, ModelList, PairwiseGP, SaasFullyBayesianSingleTaskGP, SingleTaskGP
  from botorch.models.fully_bayesian_multitask import SaasFullyBayesianMultiTaskGP
  from botorch.models.gp_regression_fidelity import SingleTaskMultiFidelityGP
  from botorch.models.gp_regression_mixed import MixedSingleTaskGP
  from botorch.models.model import Model
  from botorch.models.multitask import MultiTaskGP
  from botorch.utils.testing import BotorchTestCase, MockModel, MockPosterior
  from botorch.utils.transforms import _verify_output_shape, concatenate_pending_points, is_ensemble, is_fully_bayesian, match_batch_shape, normalize, normalize_indices, standardize, t_batch_mode_transform, unnormalize
  from torch import Tensor
label_desc: Use image node_id 1 for calling the TestStandardize obj's underlying member method code with example usage: obj.test_standardize() without return types