def _make_test_accountants(self):
return [
rdp_privacy_accountant.RdpAccountant(
[2.0], privacy_accountant.NeighboringRelation.ADD_OR_REMOVE_ONE),
rdp_privacy_accountant.RdpAccountant(
[2.0], privacy_accountant.NeighboringRelation.REPLACE_ONE),
rdp_privacy_accountant.RdpAccountant(
[2.0], privacy_accountant.NeighboringRelation.REPLACE_SPECIAL)
]
def test_compute_rdp_gaussian(self): alpha = 3.14159 sigma = 2.71828 event = dp_event.GaussianDpEvent(sigma) accountant = rdp_privacy_accountant.RdpAccountant(orders=[alpha]) accountant.compose(event) self.assertAlmostEqual(accountant._rdp[0], alpha / (2 * sigma**2))
def test_zero_fixed_batch_sample(self):
accountant = rdp_privacy_accountant.RdpAccountant(
[3.14159], privacy_accountant.NeighboringRelation.REPLACE_ONE)
accountant.compose(
dp_event.SampledWithoutReplacementDpEvent(
1000, 0, dp_event.GaussianDpEvent(1.0)))
self.assertEqual(accountant.get_epsilon(1e-10), 0)
self.assertEqual(accountant.get_delta(1e-10), 0)
def test_supports(self):
aor_accountant = rdp_privacy_accountant.RdpAccountant(
[2.0], privacy_accountant.NeighboringRelation.ADD_OR_REMOVE_ONE)
ro_accountant = rdp_privacy_accountant.RdpAccountant(
[2.0], privacy_accountant.NeighboringRelation.REPLACE_ONE)
event = dp_event.GaussianDpEvent(1.0)
self.assertTrue(aor_accountant.supports(event))
self.assertTrue(ro_accountant.supports(event))
event = dp_event.SelfComposedDpEvent(dp_event.GaussianDpEvent(1.0), 6)
self.assertTrue(aor_accountant.supports(event))
self.assertTrue(ro_accountant.supports(event))
event = dp_event.ComposedDpEvent(
[dp_event.GaussianDpEvent(1.0),
dp_event.GaussianDpEvent(2.0)])
self.assertTrue(aor_accountant.supports(event))
self.assertTrue(ro_accountant.supports(event))
event = dp_event.PoissonSampledDpEvent(0.1, dp_event.GaussianDpEvent(1.0))
self.assertTrue(aor_accountant.supports(event))
self.assertFalse(ro_accountant.supports(event))
composed_gaussian = dp_event.ComposedDpEvent(
[dp_event.GaussianDpEvent(1.0),
dp_event.GaussianDpEvent(2.0)])
event = dp_event.PoissonSampledDpEvent(0.1, composed_gaussian)
self.assertTrue(aor_accountant.supports(event))
self.assertFalse(ro_accountant.supports(event))
event = dp_event.SampledWithoutReplacementDpEvent(
1000, 10, dp_event.GaussianDpEvent(1.0))
self.assertFalse(aor_accountant.supports(event))
self.assertTrue(ro_accountant.supports(event))
event = dp_event.SampledWithoutReplacementDpEvent(1000, 10,
composed_gaussian)
self.assertFalse(aor_accountant.supports(event))
self.assertTrue(ro_accountant.supports(event))
event = dp_event.SampledWithReplacementDpEvent(
1000, 10, dp_event.GaussianDpEvent(1.0))
self.assertFalse(aor_accountant.supports(event))
self.assertFalse(ro_accountant.supports(event))
def test_no_tree_no_sampling(self, total_steps, noise_multiplier):
orders = [1 + x / 10 for x in range(1, 100)] + list(range(12, 64))
tree_rdp = _compose_trees(noise_multiplier, [1] * total_steps, orders)._rdp
accountant = rdp_privacy_accountant.RdpAccountant(orders)
event = dp_event.SelfComposedDpEvent(
dp_event.GaussianDpEvent(noise_multiplier), total_steps)
accountant.compose(event)
base_rdp = accountant._rdp
self.assertTrue(np.allclose(tree_rdp, base_rdp, rtol=1e-12))
def _compose_trees(noise_multiplier, step_counts, orders):
accountant = rdp_privacy_accountant.RdpAccountant(
orders, privacy_accountant.NeighboringRelation.REPLACE_SPECIAL)
accountant.compose(
dp_event.ComposedDpEvent([
dp_event.SingleEpochTreeAggregationDpEvent(noise_multiplier,
step_count)
for step_count in step_counts
]))
return accountant
def test_epsilon_delta_consistency(self):
orders = range(2, 50) # Large range of orders (helps test for overflows).
for q in [0, 0.01, 0.1, 0.8, 1.]:
for multiplier in [0.0, 0.1, 1., 10., 100.]:
event = dp_event.PoissonSampledDpEvent(
q, dp_event.GaussianDpEvent(multiplier))
accountant = rdp_privacy_accountant.RdpAccountant(orders)
accountant.compose(event)
for delta in [.99, .9, .1, .01, 1e-3, 1e-5, 1e-9, 1e-12]:
epsilon = accountant.get_epsilon(delta)
delta2 = accountant.get_delta(epsilon)
if np.isposinf(epsilon):
self.assertEqual(delta2, 1.0)
elif epsilon == 0:
self.assertLessEqual(delta2, delta)
else:
self.assertAlmostEqual(delta, delta2)
def test_compute_rdp_multi_gaussian(self):
alpha = 3.14159
sigma1, sigma2 = 2.71828, 6.28319
rdp1 = alpha / (2 * sigma1**2)
rdp2 = alpha / (2 * sigma2**2)
rdp = rdp1 + rdp2
accountant = rdp_privacy_accountant.RdpAccountant(orders=[alpha])
accountant.compose(
dp_event.PoissonSampledDpEvent(
1.0,
dp_event.ComposedDpEvent([
dp_event.GaussianDpEvent(sigma1),
dp_event.GaussianDpEvent(sigma2)
])))
self.assertAlmostEqual(accountant._rdp[0], rdp)
def test_compute_rdp_poisson_sampled_gaussian(self):
orders = [1.5, 2.5, 5, 50, 100, np.inf]
noise_multiplier = 2.5
sampling_probability = 0.01
count = 50
event = dp_event.SelfComposedDpEvent(
dp_event.PoissonSampledDpEvent(
sampling_probability, dp_event.GaussianDpEvent(noise_multiplier)),
count)
accountant = rdp_privacy_accountant.RdpAccountant(orders=orders)
accountant.compose(event)
self.assertTrue(
np.allclose(
accountant._rdp, [
6.5007e-04, 1.0854e-03, 2.1808e-03, 2.3846e-02, 1.6742e+02,
np.inf
],
rtol=1e-4))
def test_tree_wrong_neighbor_rel(self, neighboring_relation):
event = dp_event.SingleEpochTreeAggregationDpEvent(1.0, 1)
accountant = rdp_privacy_accountant.RdpAccountant(
neighboring_relation=neighboring_relation)
self.assertFalse(accountant.supports(event))
def _get_test_rdp(event, count=1): accountant = rdp_privacy_accountant.RdpAccountant(orders=[2.71828]) accountant.compose(event, count) return accountant._rdp[0]
def test_epsilon_non_private_gaussian(self): accountant = rdp_privacy_accountant.RdpAccountant([3.14159]) accountant.compose(dp_event.GaussianDpEvent(0)) self.assertEqual(accountant.get_epsilon(1e-1), np.inf)
def test_zero_poisson_sample(self):
accountant = rdp_privacy_accountant.RdpAccountant([3.14159])
accountant.compose(
dp_event.PoissonSampledDpEvent(0, dp_event.GaussianDpEvent(1.0)))
self.assertEqual(accountant.get_epsilon(1e-10), 0)
self.assertEqual(accountant.get_delta(1e-10), 0)
