def test_lkj_cholesky_factor_prior_batch_log_prob(self, cuda=False):
device = torch.device("cuda") if cuda else torch.device("cpu")
prior = LKJCholeskyFactorPrior(2, torch.tensor([0.5, 1.5], device=device))
S = torch.eye(2, device=device)
S_chol = torch.cholesky(S)
self.assertTrue(approx_equal(prior.log_prob(S_chol), torch.tensor([-1.86942, -0.483129], device=S_chol.device)))
S = torch.stack([S, torch.tensor([[1.0, 0.5], [0.5, 1]], device=S.device)])
S_chol = torch.stack([torch.cholesky(Si) for Si in S])
self.assertTrue(approx_equal(prior.log_prob(S_chol), torch.tensor([-1.86942, -0.62697], device=S_chol.device)))
with self.assertRaises(ValueError):
prior.log_prob(torch.eye(3, device=device))
def test_lkj_cholesky_factor_prior_log_prob(self, cuda=False):
device = torch.device("cuda") if cuda else torch.device("cpu")
prior = LKJCholeskyFactorPrior(2, torch.tensor(0.5, device=device))
dist = LKJCholesky(2, torch.tensor(0.5, device=device))
S = torch.eye(2, device=device)
S_chol = torch.linalg.cholesky(S)
self.assertAlmostEqual(prior.log_prob(S_chol),
dist.log_prob(S_chol),
places=4)
S = torch.stack(
[S, torch.tensor([[1.0, 0.5], [0.5, 1]], device=S_chol.device)])
S_chol = torch.stack([torch.linalg.cholesky(Si) for Si in S])
self.assertTrue(
approx_equal(prior.log_prob(S_chol), dist.log_prob(S_chol)))
def test_lkj_cholesky_factor_prior_log_prob(self, cuda=False):
device = torch.device("cuda") if cuda else torch.device("cpu")
prior = LKJCholeskyFactorPrior(2, torch.tensor(0.5, device=device))
S = torch.eye(2, device=device)
S_chol = torch.cholesky(S)
self.assertAlmostEqual(prior.log_prob(S_chol).item(), -1.86942, places=4)
S = torch.stack([S, torch.tensor([[1.0, 0.5], [0.5, 1]], device=S_chol.device)])
S_chol = torch.stack([torch.cholesky(Si) for Si in S])
self.assertTrue(approx_equal(prior.log_prob(S_chol), torch.tensor([-1.86942, -1.72558], device=S_chol.device)))
with self.assertRaises(ValueError):
prior.log_prob(torch.eye(3, device=device))
# For eta=1.0 log_prob is flat over all covariance matrices
prior = LKJCholeskyFactorPrior(2, torch.tensor(1.0, device=device))
self.assertTrue(torch.all(prior.log_prob(S_chol) == prior.C))