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PiperOrigin-RevId: 454995196
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galenmandrew authored and tensorflower-gardener committed Jun 15, 2022
1 parent bb1b7a6 commit db292fc
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1 change: 1 addition & 0 deletions tensorflow_privacy/BUILD
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Expand Up @@ -16,6 +16,7 @@ py_library(
deps = [
":version",
"//tensorflow_privacy/privacy/analysis:compute_dp_sgd_privacy_lib",
"//tensorflow_privacy/privacy/analysis:rdp_accountant",
"//tensorflow_privacy/privacy/analysis:tree_aggregation_accountant",
"//tensorflow_privacy/privacy/dp_query",
"//tensorflow_privacy/privacy/dp_query:discrete_gaussian_query",
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3 changes: 3 additions & 0 deletions tensorflow_privacy/__init__.py
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Expand Up @@ -27,6 +27,9 @@

# Analysis
from tensorflow_privacy.privacy.analysis.compute_dp_sgd_privacy_lib import compute_dp_sgd_privacy
from tensorflow_privacy.privacy.analysis.rdp_accountant import compute_heterogeneous_rdp
from tensorflow_privacy.privacy.analysis.rdp_accountant import compute_rdp
from tensorflow_privacy.privacy.analysis.rdp_accountant import get_privacy_spent
from tensorflow_privacy.privacy.analysis.tree_aggregation_accountant import compute_rdp_tree_restart
from tensorflow_privacy.privacy.analysis.tree_aggregation_accountant import compute_rdp_single_tree
from tensorflow_privacy.privacy.analysis.tree_aggregation_accountant import compute_zcdp_single_tree
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22 changes: 22 additions & 0 deletions tensorflow_privacy/privacy/analysis/BUILD
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Expand Up @@ -62,6 +62,27 @@ py_library(
srcs = ["gdp_accountant.py"],
)

py_library(
name = "rdp_accountant",
srcs = ["rdp_accountant.py"],
srcs_version = "PY3",
visibility = ["//visibility:public"],
deps = [
"@com_google_differential_py//python/dp_accounting:dp_event",
"@com_google_differential_py//python/dp_accounting:privacy_accountant",
"@com_google_differential_py//python/dp_accounting/rdp:rdp_privacy_accountant",
],
)

py_test(
name = "rdp_accountant_test",
size = "small",
srcs = ["rdp_accountant_test.py"],
python_version = "PY3",
srcs_version = "PY3",
deps = [":rdp_accountant"],
)

py_library(
name = "tensor_buffer",
srcs = ["tensor_buffer.py"],
Expand Down Expand Up @@ -98,6 +119,7 @@ py_test(
python_version = "PY3",
srcs_version = "PY3",
deps = [
":rdp_accountant",
":tree_aggregation_accountant",
"@com_google_differential_py//python/dp_accounting:dp_event",
"@com_google_differential_py//python/dp_accounting/rdp:rdp_privacy_accountant",
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206 changes: 206 additions & 0 deletions tensorflow_privacy/privacy/analysis/rdp_accountant.py
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@@ -0,0 +1,206 @@
# Copyright 2018 The TensorFlow Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""(Deprecated) RDP analysis of the Sampled Gaussian Mechanism.
The functions in this package have been superseded by more general accounting
mechanisms in Google's `differential_privacy` package. These functions may at
some future date be removed.
Functionality for computing Renyi differential privacy (RDP) of an additive
Sampled Gaussian Mechanism (SGM). Its public interface consists of two methods:
compute_rdp(q, noise_multiplier, T, orders) computes RDP for SGM iterated
T times.
get_privacy_spent(orders, rdp, target_eps, target_delta) computes delta
(or eps) given RDP at multiple orders and
a target value for eps (or delta).
Example use:
Suppose that we have run an SGM applied to a function with l2-sensitivity 1.
Its parameters are given as a list of tuples (q1, sigma1, T1), ...,
(qk, sigma_k, Tk), and we wish to compute eps for a given delta.
The example code would be:
max_order = 32
orders = range(2, max_order + 1)
rdp = np.zeros_like(orders, dtype=float)
for q, sigma, T in parameters:
rdp += rdp_accountant.compute_rdp(q, sigma, T, orders)
eps, _, opt_order = rdp_accountant.get_privacy_spent(rdp, target_delta=delta)
"""

import numpy as np

from com_google_differential_py.python.dp_accounting import dp_event
from com_google_differential_py.python.dp_accounting import privacy_accountant
from com_google_differential_py.python.dp_accounting.rdp import rdp_privacy_accountant


def _compute_rdp_from_event(orders, event, count):
"""Computes RDP from a DpEvent using RdpAccountant.
Args:
orders: An array (or a scalar) of RDP orders.
event: A DpEvent to compute the RDP of.
count: The number of self-compositions.
Returns:
The RDP at all orders. Can be `np.inf`.
"""
orders_vec = np.atleast_1d(orders)

if isinstance(event, dp_event.SampledWithoutReplacementDpEvent):
neighboring_relation = privacy_accountant.NeighboringRelation.REPLACE_ONE
elif isinstance(event, dp_event.SingleEpochTreeAggregationDpEvent):
neighboring_relation = privacy_accountant.NeighboringRelation.REPLACE_SPECIAL
else:
neighboring_relation = privacy_accountant.NeighboringRelation.ADD_OR_REMOVE_ONE

accountant = rdp_privacy_accountant.RdpAccountant(orders_vec,
neighboring_relation)
accountant.compose(event, count)
rdp = accountant._rdp # pylint: disable=protected-access

if np.isscalar(orders):
return rdp[0]
else:
return rdp


def compute_rdp(q, noise_multiplier, steps, orders):
"""(Deprecated) Computes RDP of the Sampled Gaussian Mechanism.
This function has been superseded by more general accounting mechanisms in
Google's `differential_privacy` package. It may at some future date be
removed.
Args:
q: The sampling rate.
noise_multiplier: The ratio of the standard deviation of the Gaussian noise
to the l2-sensitivity of the function to which it is added.
steps: The number of steps.
orders: An array (or a scalar) of RDP orders.
Returns:
The RDPs at all orders. Can be `np.inf`.
"""
event = dp_event.PoissonSampledDpEvent(
q, dp_event.GaussianDpEvent(noise_multiplier))

return _compute_rdp_from_event(orders, event, steps)


def compute_rdp_sample_without_replacement(q, noise_multiplier, steps, orders):
"""(Deprecated) Compute RDP of Gaussian Mechanism sampling w/o replacement.
This function has been superseded by more general accounting mechanisms in
Google's `differential_privacy` package. It may at some future date be
removed.
This function applies to the following schemes:
1. Sampling w/o replacement: Sample a uniformly random subset of size m = q*n.
2. ``Replace one data point'' version of differential privacy, i.e., n is
considered public information.
Reference: Theorem 27 of https://arxiv.org/pdf/1808.00087.pdf (A strengthened
version applies subsampled-Gaussian mechanism)
- Wang, Balle, Kasiviswanathan. "Subsampled Renyi Differential Privacy and
Analytical Moments Accountant." AISTATS'2019.
Args:
q: The sampling proportion = m / n. Assume m is an integer <= n.
noise_multiplier: The ratio of the standard deviation of the Gaussian noise
to the l2-sensitivity of the function to which it is added.
steps: The number of steps.
orders: An array (or a scalar) of RDP orders.
Returns:
The RDPs at all orders, can be np.inf.
"""
event = dp_event.SampledWithoutReplacementDpEvent(
1, q, dp_event.GaussianDpEvent(noise_multiplier))

return _compute_rdp_from_event(orders, event, steps)


def compute_heterogeneous_rdp(sampling_probabilities, noise_multipliers,
steps_list, orders):
"""(Deprecated) Computes RDP of Heteregoneous Sampled Gaussian Mechanisms.
This function has been superseded by more general accounting mechanisms in
Google's `differential_privacy` package. It may at some future date be
removed.
Args:
sampling_probabilities: A list containing the sampling rates.
noise_multipliers: A list containing the noise multipliers: the ratio of the
standard deviation of the Gaussian noise to the l2-sensitivity of the
function to which it is added.
steps_list: A list containing the number of steps at each
`sampling_probability` and `noise_multiplier`.
orders: An array (or a scalar) of RDP orders.
Returns:
The RDPs at all orders. Can be `np.inf`.
"""
assert len(sampling_probabilities) == len(noise_multipliers)

rdp = 0
for q, noise_multiplier, steps in zip(sampling_probabilities,
noise_multipliers, steps_list):
rdp += compute_rdp(q, noise_multiplier, steps, orders)

return rdp


def get_privacy_spent(orders, rdp, target_eps=None, target_delta=None):
"""(Deprecated) Computes delta or eps from RDP values.
This function has been superseded by more general accounting mechanisms in
Google's `differential_privacy` package. It may at some future date be
removed.
Args:
orders: An array (or a scalar) of RDP orders.
rdp: An array of RDP values. Must be of the same length as the orders list.
target_eps: If not `None`, the epsilon for which we compute the
corresponding delta.
target_delta: If not `None`, the delta for which we compute the
corresponding epsilon. Exactly one of `target_eps` and `target_delta` must
be `None`.
Returns:
A tuple of epsilon, delta, and the optimal order.
Raises:
ValueError: If target_eps and target_delta are messed up.
"""
if target_eps is None and target_delta is None:
raise ValueError(
"Exactly one out of eps and delta must be None. (Both are).")

if target_eps is not None and target_delta is not None:
raise ValueError(
"Exactly one out of eps and delta must be None. (None is).")

accountant = rdp_privacy_accountant.RdpAccountant(orders)
accountant._rdp = rdp # pylint: disable=protected-access

if target_eps is not None:
delta, opt_order = accountant.get_delta_and_optimal_order(target_eps)
return target_eps, delta, opt_order
else:
eps, opt_order = accountant.get_epsilon_and_optimal_order(target_delta)
return eps, target_delta, opt_order
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