def test_fixed_delta():
noises = B.rand(3)
k = FixedDelta(noises)
# Verify that the kernel has the right properties.
assert k.stationary
assert k.var == 1
assert k.length_scale == 0
assert k.period == np.inf
assert str(k) == 'FixedDelta()'
# Check equality.
assert FixedDelta(noises) == FixedDelta(noises)
assert FixedDelta(noises) != FixedDelta(2 * noises)
assert FixedDelta(noises) != EQ()
# Standard tests:
standard_kernel_tests(k)
# Check correctness.
x1 = B.randn(5)
x2 = B.randn(5)
allclose(k(x1), B.zeros(5, 5))
allclose(k.elwise(x1), B.zeros(5, 1))
allclose(k(x1, x2), B.zeros(5, 5))
allclose(k.elwise(x1, x2), B.zeros(5, 1))
x1 = B.randn(3)
x2 = B.randn(3)
allclose(k(x1), B.diag(noises))
allclose(k.elwise(x1), B.uprank(noises))
allclose(k(x1, x2), B.zeros(3, 3))
allclose(k.elwise(x1, x2), B.zeros(3, 1))
def test_fixed_delta():
noises = B.rand(3)
k = FixedDelta(noises)
# Verify that the kernel has the right properties.
assert k.stationary
assert str(k) == "FixedDelta()"
# Check equality.
assert FixedDelta(noises) == FixedDelta(noises)
assert FixedDelta(noises) != FixedDelta(2 * noises)
assert FixedDelta(noises) != EQ()
# Standard tests:
standard_kernel_tests(k)
# Check correctness.
x1 = B.randn(5)
x2 = B.randn(5)
approx(k(x1), B.zeros(5, 5))
approx(k.elwise(x1), B.zeros(5, 1))
approx(k(x1, x2), B.zeros(5, 5))
approx(k.elwise(x1, x2), B.zeros(5, 1))
x1 = B.randn(3)
x2 = B.randn(3)
approx(k(x1), B.diag(noises))
approx(k.elwise(x1), B.uprank(noises))
approx(k(x1, x2), B.zeros(3, 3))
approx(k.elwise(x1, x2), B.zeros(3, 1))
def test_delta_evaluations(x1, x2):
k = Delta()
n1 = B.shape(B.uprank(x1))[0]
n2 = B.shape(B.uprank(x2))[0]
# Check uniqueness checks.
allclose(k(x1), B.eye(n1))
allclose(k(x1, x2), B.zeros(n1, n2))
# Standard tests:
standard_kernel_tests(k)
# Test `Unique` inputs.
assert isinstance(k(Unique(x1), Unique(x1.copy())), Zero)
assert isinstance(k(Unique(x1), Unique(x1)), Diagonal)
assert isinstance(k(Unique(x1), x1), Zero)
assert isinstance(k(x1, Unique(x1)), Zero)
allclose(k.elwise(Unique(x1), Unique(x1.copy())), B.zeros(n1, 1))
allclose(k.elwise(Unique(x1), Unique(x1)), B.ones(n1, 1))
allclose(k.elwise(Unique(x1), x1), B.zeros(n1, 1))
allclose(k.elwise(x1, Unique(x1)), B.zeros(n1, 1))
