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datasets/flwr_datasets/partitioner/dirichlet_partitioner.py
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# Copyright 2024 Flower Labs GmbH. 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. | ||
# ============================================================================== | ||
"""Dirichlet partitioner class that works with Hugging Face Datasets.""" | ||
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import warnings | ||
from typing import Dict, List, Optional, Union | ||
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import numpy as np | ||
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import datasets | ||
from flwr_datasets.common.typing import NDArrayFloat | ||
from flwr_datasets.partitioner.partitioner import Partitioner | ||
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# pylint: disable=R0902, R0912 | ||
class DirichletPartitioner(Partitioner): | ||
"""Partitioner based on Dirichlet distribution. | ||
Implementation based on Bayesian Nonparametric Federated Learning of Neural Networks | ||
https://arxiv.org/abs/1905.12022. | ||
The algorithm sequentially divides the data with each label. The fractions of the | ||
data with each label is drawn from Dirichlet distribution and adjusted in case of | ||
balancing. The data is assigned. In case the `min_partition_size` is not satisfied | ||
the algorithm is run again (the fractions will change since it is a random process | ||
even though the alpha stays the same). | ||
The notion of balancing is explicitly introduced here (not mentioned in paper but | ||
implemented in the code). It is a mechanism that excludes the node from | ||
assigning new samples to it if the current number of samples on that node exceeds | ||
the average number that the node would get in case of even data distribution. | ||
It is controlled by`self_balancing` parameter. | ||
Parameters | ||
---------- | ||
num_partitions : int | ||
The total number of partitions that the data will be divided into. | ||
partition_by : str | ||
Column name of the labels (targets) based on which Dirichlet sampling works. | ||
alpha : Union[int, float, List[float], NDArrayFloat] | ||
Concentration parameter to the Dirichlet distribution | ||
min_partition_size : int | ||
The minimum number of samples that each partitions will have (the sampling | ||
process is repeated if any partition is too small). | ||
self_balancing : bool | ||
Whether assign further samples to a partition after the number of samples | ||
exceeded the average number of samples per partition. (True in the original | ||
paper's code although not mentioned in paper itself). | ||
shuffle: bool | ||
Whether to randomize the order of samples. Shuffling applied after the | ||
samples assignment to nodes. | ||
seed: int | ||
Seed used for dataset shuffling. It has no effect if `shuffle` is False. | ||
Examples | ||
-------- | ||
>>> from flwr_datasets import FederatedDataset | ||
>>> from flwr_datasets.partitioner import DirichletPartitioner | ||
>>> | ||
>>> partitioner = DirichletPartitioner(num_partitions=10, partition_by="label", | ||
>>> alpha=0.5, min_partition_size=10, | ||
>>> self_balancing=True) | ||
>>> fds = FederatedDataset(dataset="mnist", partitioners={"train": partitioner}) | ||
>>> partition = fds.load_partition(0) | ||
>>> print(partition[0]) # Print the first example | ||
{'image': <PIL.PngImagePlugin.PngImageFile image mode=L size=28x28 at 0x127B92170>, | ||
'label': 4} | ||
>>> partition_sizes = [len(fds.load_partition(node_id)) for node_id in range(10)] | ||
>>> print(sorted(partition_sizes)) | ||
[2134, 2615, 3646, 6011, 6170, 6386, 6715, 7653, 8435, 10235] | ||
""" | ||
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def __init__( # pylint: disable=R0913 | ||
self, | ||
num_partitions: int, | ||
partition_by: str, | ||
alpha: Union[int, float, List[float], NDArrayFloat], | ||
min_partition_size: int = 10, | ||
self_balancing: bool = True, | ||
shuffle: bool = True, | ||
seed: Optional[int] = 42, | ||
) -> None: | ||
super().__init__() | ||
# Attributes based on the constructor | ||
self._num_partitions = num_partitions | ||
self._check_num_partitions_greater_than_zero() | ||
self._alpha: NDArrayFloat = self._initialize_alpha(alpha) | ||
self._partition_by = partition_by | ||
self._min_partition_size: int = min_partition_size | ||
self._self_balancing = self_balancing | ||
self._shuffle = shuffle | ||
self._seed = seed | ||
self._rng = np.random.default_rng(seed=self._seed) # NumPy random generator | ||
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# Utility attributes | ||
# The attributes below are determined during the first call to load_partition | ||
self._avg_num_of_samples_per_node: Optional[float] = None | ||
self._unique_classes: Optional[Union[List[int], List[str]]] = None | ||
self._node_id_to_indices: Dict[int, List[int]] = {} | ||
self._node_id_to_indices_determined = False | ||
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def load_partition(self, node_id: int) -> datasets.Dataset: | ||
"""Load a partition based on the partition index. | ||
Parameters | ||
---------- | ||
node_id : int | ||
the index that corresponds to the requested partition | ||
Returns | ||
------- | ||
dataset_partition : Dataset | ||
single partition of a dataset | ||
""" | ||
# The partitioning is done lazily - only when the first partition is | ||
# requested. Only the first call creates the indices assignments for all the | ||
# partition indices. | ||
self._check_num_partitions_correctness_if_needed() | ||
self._determine_node_id_to_indices_if_needed() | ||
return self.dataset.select(self._node_id_to_indices[node_id]) | ||
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def _initialize_alpha( | ||
self, alpha: Union[int, float, List[float], NDArrayFloat] | ||
) -> NDArrayFloat: | ||
"""Convert alpha to the used format in the code a NDArrayFloat. | ||
The alpha can be provided in constructor can be in different format for user | ||
convenience. The format into which it's transformed here is used throughout the | ||
code for computation. | ||
Parameters | ||
---------- | ||
alpha : Union[int, float, List[float], NDArrayFloat] | ||
Concentration parameter to the Dirichlet distribution | ||
Returns | ||
------- | ||
alpha : NDArrayFloat | ||
Concentration parameter in a format ready to used in computation. | ||
""" | ||
if isinstance(alpha, int): | ||
alpha = np.array([float(alpha)], dtype=float).repeat(self._num_partitions) | ||
elif isinstance(alpha, float): | ||
alpha = np.array([alpha], dtype=float).repeat(self._num_partitions) | ||
elif isinstance(alpha, List): | ||
if len(alpha) != self._num_partitions: | ||
raise ValueError( | ||
"If passing alpha as a List, it needs to be of length of equal to " | ||
"num_partitions." | ||
) | ||
alpha = np.asarray(alpha) | ||
elif isinstance(alpha, np.ndarray): | ||
# pylint: disable=R1720 | ||
if alpha.ndim == 1 and alpha.shape[0] != self._num_partitions: | ||
raise ValueError( | ||
"If passing alpha as an NDArray, its length needs to be of length " | ||
"equal to num_partitions." | ||
) | ||
elif alpha.ndim == 2: | ||
alpha = alpha.flatten() | ||
if alpha.shape[0] != self._num_partitions: | ||
raise ValueError( | ||
"If passing alpha as an NDArray, its size needs to be of length" | ||
" equal to num_partitions." | ||
) | ||
else: | ||
raise ValueError("The given alpha format is not supported.") | ||
if not (alpha > 0).all(): | ||
raise ValueError( | ||
f"Alpha values should be strictly greater than zero. " | ||
f"Instead it'd be converted to {alpha}" | ||
) | ||
return alpha | ||
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def _determine_node_id_to_indices_if_needed(self) -> None: # pylint: disable=R0914 | ||
"""Create an assignment of indices to the partition indices.""" | ||
if self._node_id_to_indices_determined: | ||
return | ||
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# Generate information needed for Dirichlet partitioning | ||
self._unique_classes = self.dataset.unique(self._partition_by) | ||
assert self._unique_classes is not None | ||
# This is needed only if self._self_balancing is True (the default option) | ||
self._avg_num_of_samples_per_node = self.dataset.num_rows / self._num_partitions | ||
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# Change targets list data type to numpy | ||
targets = np.array(self.dataset[self._partition_by]) | ||
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# Repeat the sampling procedure based on the Dirichlet distribution until the | ||
# min_partition_size is reached. | ||
sampling_try = 0 | ||
while True: | ||
# Prepare data structure to store indices assigned to node ids | ||
node_id_to_indices: Dict[int, List[int]] = {} | ||
for nid in range(self._num_partitions): | ||
node_id_to_indices[nid] = [] | ||
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# Iterated over all unique labels (they are not necessarily of type int) | ||
for k in self._unique_classes: | ||
# Access all the indices associated with class k | ||
indices_representing_class_k = np.nonzero(targets == k)[0] | ||
# Determine division (the fractions) of the data representing class k | ||
# among the partitions | ||
class_k_division_proportions = self._rng.dirichlet(self._alpha) | ||
nid_to_proportion_of_k_samples = {} | ||
for nid in range(self._num_partitions): | ||
nid_to_proportion_of_k_samples[nid] = class_k_division_proportions[ | ||
nid | ||
] | ||
# Balancing (not mentioned in the paper but implemented) | ||
# Do not assign additional samples to the node if it already has more | ||
# than the average numbers of samples per partition. Note that it might | ||
# especially affect classes that are later in the order. This is the | ||
# reason for more sparse division that the alpha might suggest. | ||
if self._self_balancing: | ||
assert self._avg_num_of_samples_per_node is not None | ||
for nid in nid_to_proportion_of_k_samples.copy(): | ||
if ( | ||
len(node_id_to_indices[nid]) | ||
> self._avg_num_of_samples_per_node | ||
): | ||
nid_to_proportion_of_k_samples[nid] = 0 | ||
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# Normalize the proportions such that they sum up to 1 | ||
sum_proportions = sum(nid_to_proportion_of_k_samples.values()) | ||
for nid, prop in nid_to_proportion_of_k_samples.copy().items(): | ||
nid_to_proportion_of_k_samples[nid] = prop / sum_proportions | ||
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# Determine the split indices | ||
cumsum_division_fractions = np.cumsum( | ||
list(nid_to_proportion_of_k_samples.values()) | ||
) | ||
cumsum_division_numbers = cumsum_division_fractions * len( | ||
indices_representing_class_k | ||
) | ||
# [:-1] is because the np.split requires the division indices but the | ||
# last element represents the sum = total number of samples | ||
indices_on_which_split = cumsum_division_numbers.astype(int)[:-1] | ||
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split_indices = np.split( | ||
indices_representing_class_k, indices_on_which_split | ||
) | ||
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# Append new indices (coming from class k) to the existing indices | ||
for nid, indices in node_id_to_indices.items(): | ||
indices.extend(split_indices[nid].tolist()) | ||
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# Determine if the indices assignment meets the min_partition_size | ||
# If it does not mean the requirement repeat the Dirichlet sampling process | ||
# Otherwise break the while loop | ||
min_sample_size_on_client = min( | ||
len(indices) for indices in node_id_to_indices.values() | ||
) | ||
if min_sample_size_on_client >= self._min_partition_size: | ||
break | ||
sample_sizes = [len(indices) for indices in node_id_to_indices.values()] | ||
alpha_not_met = [ | ||
self._alpha[i] | ||
for i, ss in enumerate(sample_sizes) | ||
if ss == min(sample_sizes) | ||
] | ||
mssg_list_alphas = ( | ||
( | ||
"Generating partitions by sampling from a list of very wide range " | ||
"of alpha values can be hard to achieve. Try reducing the range " | ||
f"between maximum ({max(self._alpha)}) and minimum alpha " | ||
f"({min(self._alpha)}) values or increasing all the values." | ||
) | ||
if len(self._alpha.flatten().tolist()) > 0 | ||
else "" | ||
) | ||
warnings.warn( | ||
f"The specified min_partition_size ({self._min_partition_size}) was " | ||
f"not satisfied for alpha ({alpha_not_met}) after " | ||
f"{sampling_try} attempts at sampling from the Dirichlet " | ||
f"distribution. The probability sampling from the Dirichlet " | ||
f"distribution will be repeated. Note: This is not a desired " | ||
f"behavior. It is recommended to adjust the alpha or " | ||
f"min_partition_size instead. {mssg_list_alphas}", | ||
stacklevel=1, | ||
) | ||
if sampling_try == 10: | ||
raise ValueError( | ||
"The max number of attempts (10) was reached. " | ||
"Please update the values of alpha and try again." | ||
) | ||
sampling_try += 1 | ||
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# Shuffle the indices not to have the datasets with targets in sequences like | ||
# [00000, 11111, ...]) if the shuffle is True | ||
if self._shuffle: | ||
for indices in node_id_to_indices.values(): | ||
# In place shuffling | ||
self._rng.shuffle(indices) | ||
self._node_id_to_indices = node_id_to_indices | ||
self._node_id_to_indices_determined = True | ||
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def _check_num_partitions_correctness_if_needed(self) -> None: | ||
"""Test num_partitions when the dataset is given (in load_partition).""" | ||
if not self._node_id_to_indices_determined: | ||
if self._num_partitions > self.dataset.num_rows: | ||
raise ValueError( | ||
"The number of partitions needs to be smaller than the number of " | ||
"samples in the dataset." | ||
) | ||
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def _check_num_partitions_greater_than_zero(self) -> None: | ||
"""Test num_partition left sides correctness.""" | ||
if not self._num_partitions > 0: | ||
raise ValueError("The number of partitions needs to be greater than zero.") |
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