code: def test_ALEBOKernel(self) -> None:
      B = torch.tensor(
          [[1.0, 2.0, 3.0, 4.0, 5.0], [2.0, 3.0, 4.0, 5.0, 6.0]],
          dtype=torch.double,
      )
      with self.assertWarnsRegex(
          DeprecationWarning, "ALEBOKernel is deprecated"
      ):
          k = ALEBOKernel(B=B, batch_shape=torch.Size([]))
  
      self.assertEqual(k.d, 2)
      self.assertTrue(torch.equal(B, k.B))
      self.assertTrue(
          torch.equal(
              k.triu_indx[0], torch.tensor([0, 0, 1], dtype=torch.long)
          )
      )
      self.assertTrue(
          torch.equal(
              k.triu_indx[1], torch.tensor([0, 1, 1], dtype=torch.long)
          )
      )
      self.assertEqual(k.Uvec.shape, torch.Size([3]))
  
      k.Uvec.requires_grad_(False)
      checked_cast(Parameter, k.Uvec).copy_(
          torch.tensor([1.0, 2.0, 3.0], dtype=torch.double)
      )
      k.Uvec.requires_grad_(True)
      x1 = torch.tensor([[0.0, 0.0], [1.0, 1.0]], dtype=torch.double)
      x2 = torch.tensor([[1.0, 1.0], [0.0, 0.0]], dtype=torch.double)
  
      K = k.forward(x1, x2)
      Ktrue = torch.tensor(
          [[np.exp(-0.5 * 18), 1.0], [1.0, np.exp(-0.5 * 18)]],
          dtype=torch.double,
      )
      self.assertTrue(torch.equal(K, Ktrue))
  
file_path: Ax/ax/models/tests/test_alebo.py
imports: from unittest import mock
  import numpy
  import torch
  from ax.core.search_space import SearchSpaceDigest
  from ax.models.torch.alebo import ALEBO, alebo_acqf_optimizer, ALEBOGP, ALEBOKernel, ei_or_nei, extract_map_statedict, get_batch_model, get_fitted_model, get_map_model
  from ax.models.torch_base import TorchOptConfig
  from ax.utils.common.testutils import TestCase
  from ax.utils.common.typeutils import checked_cast
  from ax.utils.testing.mock import fast_botorch_optimize
  from botorch.acquisition import qLogNoisyExpectedImprovement
  from botorch.acquisition.analytic import ExpectedImprovement
  from botorch.models.model_list_gp_regression import ModelListGP
  from botorch.utils.datasets import SupervisedDataset
  from torch.nn.parameter import Parameter
label_desc: Use image node_id 1 for calling the ALEBOTest obj's underlying member method code with example usage: obj.test_ALEBOKernel() without return types