address schien comments
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3 changed files with 15 additions and 11 deletions
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@ -18,12 +18,13 @@ The script applies the RDP accountant to estimate privacy budget of an iterated
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Sampled Gaussian Mechanism. The mechanism's parameters are controlled by flags.
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Sampled Gaussian Mechanism. The mechanism's parameters are controlled by flags.
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Example:
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Example:
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compute_dp_sgd_privacy
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compute_noise_from_budget
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--N=60000 \
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--N=60000 \
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--batch_size=256 \
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--batch_size=256 \
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--epsilon=2.92 \
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--epsilon=2.92 \
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--epochs=60 \
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--epochs=60 \
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--delta=1e-5
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--delta=1e-5 \
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--min_noise=1e-6
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The output states that DP-SGD with these parameters should
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The output states that DP-SGD with these parameters should
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use a noise multiplier of 1.12.
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use a noise multiplier of 1.12.
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@ -50,6 +51,7 @@ flags.DEFINE_integer('batch_size', None, 'Batch size')
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flags.DEFINE_float('epsilon', None, 'Target epsilon for DP-SGD')
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flags.DEFINE_float('epsilon', None, 'Target epsilon for DP-SGD')
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flags.DEFINE_float('epochs', None, 'Number of epochs (may be fractional)')
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flags.DEFINE_float('epochs', None, 'Number of epochs (may be fractional)')
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flags.DEFINE_float('delta', 1e-6, 'Target delta')
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flags.DEFINE_float('delta', 1e-6, 'Target delta')
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flags.DEFINE_float('min_noise', 1e-5, 'Minimum noise level for search.')
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def main(argv):
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def main(argv):
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@ -60,7 +62,7 @@ def main(argv):
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assert FLAGS.epsilon is not None, 'Flag epsilon is missing.'
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assert FLAGS.epsilon is not None, 'Flag epsilon is missing.'
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assert FLAGS.epochs is not None, 'Flag epochs is missing.'
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assert FLAGS.epochs is not None, 'Flag epochs is missing.'
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compute_noise(FLAGS.N, FLAGS.batch_size, FLAGS.epsilon,
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compute_noise(FLAGS.N, FLAGS.batch_size, FLAGS.epsilon,
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FLAGS.epochs, FLAGS.delta)
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FLAGS.epochs, FLAGS.delta, FLAGS.min_noise)
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if __name__ == '__main__':
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if __name__ == '__main__':
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@ -45,7 +45,7 @@ def apply_dp_sgd_analysis(q, sigma, steps, orders, delta):
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return eps, opt_order
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return eps, opt_order
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def compute_noise(n, batch_size, target_epsilon, epochs, delta):
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def compute_noise(n, batch_size, target_epsilon, epochs, delta, noise_lbd):
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"""Compute noise based on the given hyperparameters."""
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"""Compute noise based on the given hyperparameters."""
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q = batch_size / n # q - the sampling ratio.
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q = batch_size / n # q - the sampling ratio.
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if q > 1:
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if q > 1:
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@ -54,10 +54,11 @@ def compute_noise(n, batch_size, target_epsilon, epochs, delta):
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list(range(5, 64)) + [128, 256, 512])
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list(range(5, 64)) + [128, 256, 512])
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steps = int(math.ceil(epochs * n / batch_size))
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steps = int(math.ceil(epochs * n / batch_size))
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init_noise = 1e-5 # minimum possible noise
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init_noise = noise_lbd # minimum possible noise
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init_epsilon, _ = apply_dp_sgd_analysis(q, init_noise, steps, orders, delta)
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init_epsilon, _ = apply_dp_sgd_analysis(q, init_noise, steps, orders, delta)
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if init_epsilon < target_epsilon: # 1e-5 was an overestimate
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if init_epsilon < target_epsilon: # noise_lbd was an overestimate
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print("min_noise too large for target epsilon.")
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return 0
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return 0
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cur_epsilon = init_epsilon
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cur_epsilon = init_epsilon
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@ -26,14 +26,15 @@ from tensorflow_privacy.privacy.analysis import compute_noise_from_budget_lib
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class ComputeNoiseFromBudgetTest(parameterized.TestCase):
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class ComputeNoiseFromBudgetTest(parameterized.TestCase):
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@parameterized.named_parameters(
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@parameterized.named_parameters(
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('Test0', 60000, 150, 0.941870567, 15, 1e-5, 1.3),
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('Test0', 60000, 150, 0.941870567, 15, 1e-5, 1e-5, 1.3),
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('Test1', 100000, 100, 1.70928734, 30, 1e-7, 1.0),
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('Test1', 100000, 100, 1.70928734, 30, 1e-7, 1e-6, 1.0),
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('Test2', 100000000, 1024, 5907984.81339406, 10, 1e-7, 0.1),
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('Test2', 100000000, 1024, 5907984.81339406, 10, 1e-7, 1e-5, 0.1),
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('Test3', 100000000, 1024, 5907984.81339406, 10, 1e-7, 1, 0),
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)
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)
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def test_compute_noise(self, n, batch_size, target_epsilon, epochs,
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def test_compute_noise(self, n, batch_size, target_epsilon, epochs,
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delta, expected_noise):
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delta, min_noise, expected_noise):
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target_noise = compute_noise_from_budget_lib.compute_noise(
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target_noise = compute_noise_from_budget_lib.compute_noise(
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n, batch_size, target_epsilon, epochs, delta)
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n, batch_size, target_epsilon, epochs, delta, min_noise)
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self.assertAlmostEqual(target_noise, expected_noise)
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self.assertAlmostEqual(target_noise, expected_noise)
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if __name__ == '__main__':
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if __name__ == '__main__':
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