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# Copyright 2019 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.
# ==============================================================================
"""The V2 implementation of Normalization layers."""
import warnings
import tensorflow.compat.v2 as tf
from keras import backend
from keras import constraints
from keras import initializers
from keras import regularizers
from keras.dtensor import utils
from keras.engine.base_layer import Layer
from keras.engine.input_spec import InputSpec
from keras.utils import control_flow_util
from keras.utils import tf_utils
# isort: off
from tensorflow.python.ops.control_flow_ops import (
get_enclosing_xla_context,
)
from tensorflow.python.platform import tf_logging as logging
from tensorflow.python.util import deprecation
from tensorflow.python.util.tf_export import keras_export
class BatchNormalizationBase(Layer):
r"""Layer that normalizes its inputs.
Batch normalization applies a transformation that maintains the mean output
close to 0 and the output standard deviation close to 1.
Importantly, batch normalization works differently during training and
during inference.
**During training** (i.e. when using `fit()` or when calling the layer/model
with the argument `training=True`), the layer normalizes its output using
the mean and standard deviation of the current batch of inputs. That is to
say, for each channel being normalized, the layer returns
`gamma * (batch - mean(batch)) / sqrt(var(batch) + epsilon) + beta`, where:
- `epsilon` is small constant (configurable as part of the constructor
arguments)
- `gamma` is a learned scaling factor (initialized as 1), which
can be disabled by passing `scale=False` to the constructor.
- `beta` is a learned offset factor (initialized as 0), which
can be disabled by passing `center=False` to the constructor.
**During inference** (i.e. when using `evaluate()` or `predict()`) or when
calling the layer/model with the argument `training=False` (which is the
default), the layer normalizes its output using a moving average of the
mean and standard deviation of the batches it has seen during training. That
is to say, it returns
`gamma * (batch - self.moving_mean) / sqrt(self.moving_var+epsilon) + beta`.
`self.moving_mean` and `self.moving_var` are non-trainable variables that
are updated each time the layer in called in training mode, as such:
- `moving_mean = moving_mean * momentum + mean(batch) * (1 - momentum)`
- `moving_var = moving_var * momentum + var(batch) * (1 - momentum)`
As such, the layer will only normalize its inputs during inference
*after having been trained on data that has similar statistics as the
inference data*.
Args:
axis: Integer or a list of integers, the axis that should be normalized
(typically the features axis). For instance, after a `Conv2D` layer with
`data_format="channels_first"`, set `axis=1` in `BatchNormalization`.
momentum: Momentum for the moving average.
epsilon: Small float added to variance to avoid dividing by zero.
center: If True, add offset of `beta` to normalized tensor. If False,
`beta` is ignored.
scale: If True, multiply by `gamma`. If False, `gamma` is not used. When
the next layer is linear (also e.g. `nn.relu`), this can be disabled
since the scaling will be done by the next layer.
beta_initializer: Initializer for the beta weight.
gamma_initializer: Initializer for the gamma weight.
moving_mean_initializer: Initializer for the moving mean.
moving_variance_initializer: Initializer for the moving variance.
beta_regularizer: Optional regularizer for the beta weight.
gamma_regularizer: Optional regularizer for the gamma weight.
beta_constraint: Optional constraint for the beta weight.
gamma_constraint: Optional constraint for the gamma weight.
renorm: Whether to use [Batch Renormalization](
https://arxiv.org/abs/1702.03275). This adds extra variables during
training. The inference is the same for either value of this
parameter.
renorm_clipping: A dictionary that may map keys 'rmax', 'rmin', 'dmax' to
scalar `Tensors` used to clip the renorm correction. The correction `(r,
d)` is used as `corrected_value = normalized_value * r + d`, with `r`
clipped to [rmin, rmax], and `d` to [-dmax, dmax]. Missing rmax, rmin,
dmax are set to inf, 0, inf, respectively.
renorm_momentum: Momentum used to update the moving means and standard
deviations with renorm. Unlike `momentum`, this affects training and
should be neither too small (which would add noise) nor too large (which
would give stale estimates). Note that `momentum` is still applied to
get the means and variances for inference.
fused: if `True`, use a faster, fused implementation, or raise a
ValueError if the fused implementation cannot be used. If `None`, use
the faster implementation if possible. If False, do not used the fused
implementation. Note that in TensorFlow 1.x, the meaning of
`fused=True` is different: if `False`, the layer uses the
system-recommended implementation. You cannot use `fused=True` if a
mask is passed in the `call()` method.
trainable: Boolean, if `True` the variables will be marked as trainable.
virtual_batch_size: An `int`. By default, `virtual_batch_size` is `None`,
which means batch normalization is performed across the whole batch.
When `virtual_batch_size` is not `None`, instead perform "Ghost Batch
Normalization", which creates virtual sub-batches which are each
normalized separately (with shared gamma, beta, and moving statistics).
Must divide the actual batch size during execution.
adjustment: A function taking the `Tensor` containing the (dynamic) shape
of the input tensor and returning a pair (scale, bias) to apply to the
normalized values (before gamma and beta), only during training. For
example, if `axis=-1`,
`adjustment = lambda shape: (
tf.random.uniform(shape[-1:], 0.93, 1.07),
tf.random.uniform(shape[-1:], -0.1, 0.1))` will scale the normalized
value by up to 7% up or down, then shift the result by up to 0.1
(with independent scaling and bias for each feature but shared
across all examples), and finally apply gamma and/or beta. If
`None`, no adjustment is applied. Cannot be specified if
virtual_batch_size is specified.
synchronized: If True, synchronizes the global batch statistics (mean and
variance) for the layer across all devices at each training step in a
distributed training strategy. If False, each replica uses its own
local batch statistics. Only relevant when used inside a
`tf.distribute` strategy.
Call arguments:
inputs: Input tensor (of any rank).
training: Python boolean indicating whether the layer should behave in
training mode or in inference mode.
- `training=True`: The layer will normalize its inputs using the mean
and variance of the current batch of inputs.
- `training=False`: The layer will normalize its inputs using the mean
and variance of its moving statistics, learned during training.
mask: Binary tensor of shape broadcastable to `inputs` tensor, indicating
the positions for which the mean and variance should be computed.
Input shape: Arbitrary. Use the keyword argument `input_shape` (tuple of
integers, does not include the samples axis) when using this layer as the
first layer in a model.
Output shape: Same shape as input.
Reference:
- [Ioffe and Szegedy, 2015](https://arxiv.org/abs/1502.03167).
"""
# By default, the base class uses V2 behavior. The BatchNormalization V1
# subclass sets this to False to use the V1 behavior.
_USE_V2_BEHAVIOR = True
def __init__(
self,
axis=-1,
momentum=0.99,
epsilon=1e-3,
center=True,
scale=True,
beta_initializer="zeros",
gamma_initializer="ones",
moving_mean_initializer="zeros",
moving_variance_initializer="ones",
beta_regularizer=None,
gamma_regularizer=None,
beta_constraint=None,
gamma_constraint=None,
renorm=False,
renorm_clipping=None,
renorm_momentum=0.99,
fused=None,
trainable=True,
virtual_batch_size=None,
adjustment=None,
name=None,
synchronized=False,
**kwargs,
):
super().__init__(name=name, **kwargs)
if isinstance(axis, (list, tuple)):
self.axis = axis[:]
elif isinstance(axis, int):
self.axis = axis
else:
raise TypeError(
"Expected an int or a list/tuple of ints for the "
"argument 'axis', but received: %r" % axis
)
if synchronized and fused:
raise ValueError(
"`fused=True` is not supported when `synchronized=True`."
)
self.synchronized = synchronized
if self.synchronized:
fused = False
self.momentum = momentum
self.epsilon = epsilon
self.center = center
self.scale = scale
self.beta_initializer = initializers.get(beta_initializer)
self.gamma_initializer = initializers.get(gamma_initializer)
self.moving_mean_initializer = initializers.get(moving_mean_initializer)
self.moving_variance_initializer = initializers.get(
moving_variance_initializer
)
self.beta_regularizer = regularizers.get(beta_regularizer)
self.gamma_regularizer = regularizers.get(gamma_regularizer)
self.beta_constraint = constraints.get(beta_constraint)
self.gamma_constraint = constraints.get(gamma_constraint)
self.renorm = renorm
self.virtual_batch_size = virtual_batch_size
self.adjustment = adjustment
if self._USE_V2_BEHAVIOR:
if fused:
self._raise_if_fused_cannot_be_used()
# We leave fused as None if self._fused_can_be_used()==True, since
# we still may set it to False in self.build() if the input rank is
# not 4.
elif fused is None and not self._fused_can_be_used():
fused = False
elif fused is None:
fused = True
self.supports_masking = True
self.fused = fused
self._bessels_correction_test_only = True
self.trainable = trainable
if renorm:
renorm_clipping = renorm_clipping or {}
keys = ["rmax", "rmin", "dmax"]
if set(renorm_clipping) - set(keys):
raise ValueError(
"Received invalid keys for `renorm_clipping` argument: "
f"{renorm_clipping}. Supported values: {keys}."
)
self.renorm_clipping = renorm_clipping
self.renorm_momentum = renorm_momentum
def _raise_if_fused_cannot_be_used(self):
"""Raises a ValueError if fused implementation cannot be used.
In addition to the checks done in this function, the input tensors rank
must be 4 or 5. The input rank check can only be done once the input
shape is known.
"""
# Note the ValueErrors in this function are caught and not reraised in
# _fused_can_be_used(). No other exception besides ValueError should be
# raised here.
# Currently fused batch norm doesn't support renorm. It also only
# supports a channel dimension on axis 1 or 3 (rank=4) / 1 or 4 (rank5),
# when no virtual batch size or adjustment is used.
if self.renorm:
raise ValueError(
"Passing both `fused=True` and `renorm=True` is not supported"
)
axis = [self.axis] if isinstance(self.axis, int) else self.axis
# Axis -3 is equivalent to 1, and axis -1 is equivalent to 3, when the
# input rank is 4. Similarly, the valid axis is -4, -1, 1, 4 when the
# rank is 5. The combination of ranks and axes will be checked later.
if len(axis) > 1 or axis[0] not in (-4, -3, -1, 1, 3, 4):
raise ValueError(
"Passing `fused=True` is only supported when axis is 1 "
"or 3 for input rank = 4 or 1 or 4 for input rank = 5. "
"Got axis %s" % (axis,)
)
if self.virtual_batch_size is not None:
raise ValueError(
"Passing `fused=True` is not supported when "
"`virtual_batch_size` is specified."
)
if self.adjustment is not None:
raise ValueError(
"Passing `fused=True` is not supported when "
"`adjustment` is specified."
)
# TODO(reedwm): Support fp64 in FusedBatchNorm then remove this check.
if self._compute_dtype not in ("float16", "bfloat16", "float32", None):
raise ValueError(
"Passing `fused=True` is only supported when the compute "
"dtype is float16, bfloat16, or float32. Got dtype: %s"
% (self._compute_dtype,)
)
def _fused_can_be_used(self):
try:
self._raise_if_fused_cannot_be_used()
return True
except ValueError:
return False
@property
def trainable(self):
return self._trainable
@trainable.setter
def trainable(self, value):
self._trainable = value
@property
def _param_dtype(self):
# Raise parameters of fp16 batch norm to fp32
if self.dtype == tf.float16 or self.dtype == tf.bfloat16:
return tf.float32
else:
return self.dtype or tf.float32
def _support_zero_size_input(self):
if not tf.distribute.has_strategy():
return False
strategy = tf.distribute.get_strategy()
# TODO(b/195085185): remove experimental_enable_get_next_as_optional
# after migrating all users.
return getattr(
strategy.extended,
"enable_partial_batch_handling",
getattr(
strategy.extended,
"experimental_enable_get_next_as_optional",
False,
),
)
def build(self, input_shape):
self.axis = tf_utils.validate_axis(self.axis, input_shape)
input_shape = tf.TensorShape(input_shape)
rank = input_shape.rank
if self.virtual_batch_size is not None:
if self.virtual_batch_size <= 0:
raise ValueError(
"`virtual_batch_size` must be a positive integer that "
"divides the true batch size of the input tensor. "
f"Received: virtual_batch_size={self.virtual_batch_size}"
)
# If using virtual batches, the first dimension must be the batch
# dimension and cannot be the batch norm axis
if 0 in self.axis:
raise ValueError(
"When using `virtual_batch_size`, the batch dimension "
"must be 0 and thus axis cannot include 0. "
f"Received axis={self.axis}"
)
if self.adjustment is not None:
raise ValueError(
"When using `virtual_batch_size`, adjustment cannot "
"be specified"
)
if self.fused in (None, True):
# TODO(yaozhang): if input is not 4D, reshape it to 4D and reshape
# the output back to its original shape accordingly.
if self._USE_V2_BEHAVIOR:
if self.fused is None:
self.fused = rank in (4, 5)
elif self.fused and rank not in (4, 5):
raise ValueError(
"Batch normalization layers with `fused=True` only "
"support 4D or 5D input tensors. "
f"Received tensor with shape: {tuple(input_shape)}"
)
else:
assert self.fused is not None
self.fused = rank in (4, 5) and self._fused_can_be_used()
# TODO(chrisying): fused batch norm is currently not supported for
# multi-axis batch norm and by extension virtual batches. In some
# cases, it might be possible to use fused batch norm but would
# require reshaping the Tensor to 4D with the axis in 1 or 3
# (preferred 1) which is particularly tricky. A compromise might be
# to just support the most common use case (turning 5D w/ virtual
# batch to NCHW)
if self.fused:
if self.axis == [1] and rank == 4:
self._data_format = "NCHW"
elif self.axis == [1] and rank == 5:
self._data_format = "NCDHW"
elif self.axis == [3] and rank == 4:
self._data_format = "NHWC"
elif self.axis == [4] and rank == 5:
self._data_format = "NDHWC"
elif rank == 5:
# 5D tensors that can be passed in but should not use fused
# batch norm due to unsupported axis.
self.fused = False
else:
if rank == 4:
raise ValueError(
"Unsupported axis. The use of `fused=True` is only "
"possible with `axis=1` or `axis=3` for 4D input "
f"tensors. Received: axis={tuple(self.axis)}"
)
else:
raise ValueError(
"Unsupported axis. The use of `fused=True` is only "
"possible with `axis=1` or `axis=4` for 5D input "
f"tensors. Received: axis={tuple(self.axis)}"
)
axis_to_dim = {x: input_shape.dims[x].value for x in self.axis}
for x in axis_to_dim:
if axis_to_dim[x] is None:
raise ValueError(
"Input has undefined `axis` dimension. Received input "
f"with shape {tuple(input_shape)} "
f"and axis={tuple(self.axis)}"
)
self.input_spec = InputSpec(ndim=rank, axes=axis_to_dim)
if len(axis_to_dim) == 1 and self.virtual_batch_size is None:
# Single axis batch norm (most common/default use-case)
param_shape = (list(axis_to_dim.values())[0],)
else:
# Parameter shape is the original shape but with 1 in all non-axis
# dims
param_shape = [
axis_to_dim[i] if i in axis_to_dim else 1 for i in range(rank)
]
if self.virtual_batch_size is not None:
# When using virtual batches, add an extra dim at index 1
param_shape.insert(1, 1)
for idx, x in enumerate(self.axis):
self.axis[idx] = x + 1 # Account for added dimension
self._param_shape = param_shape
if self.scale:
self.gamma = self.add_weight(
name="gamma",
shape=param_shape,
dtype=self._param_dtype,
initializer=self.gamma_initializer,
regularizer=self.gamma_regularizer,
constraint=self.gamma_constraint,
trainable=True,
experimental_autocast=False,
)
else:
self.gamma = None
if self.center:
self.beta = self.add_weight(
name="beta",
shape=param_shape,
dtype=self._param_dtype,
initializer=self.beta_initializer,
regularizer=self.beta_regularizer,
constraint=self.beta_constraint,
trainable=True,
experimental_autocast=False,
)
else:
self.beta = None
try:
# Disable variable partitioning when creating the moving mean and
# variance
if hasattr(self, "_scope") and self._scope:
partitioner = self._scope.partitioner
self._scope.set_partitioner(None)
else:
partitioner = None
self.moving_mean = self.add_weight(
name="moving_mean",
shape=param_shape,
dtype=self._param_dtype,
initializer=self.moving_mean_initializer,
synchronization=tf.VariableSynchronization.ON_READ,
trainable=False,
aggregation=tf.VariableAggregation.MEAN,
experimental_autocast=False,
)
self.moving_variance = self.add_weight(
name="moving_variance",
shape=param_shape,
dtype=self._param_dtype,
initializer=self.moving_variance_initializer,
synchronization=tf.VariableSynchronization.ON_READ,
trainable=False,
aggregation=tf.VariableAggregation.MEAN,
experimental_autocast=False,
)
if self.renorm:
# In batch renormalization we track the inference moving stddev
# instead of the moving variance to more closely align with the
# paper.
def moving_stddev_initializer(*args, **kwargs):
return tf.sqrt(
self.moving_variance_initializer(*args, **kwargs)
)
with tf.distribute.get_strategy().extended.colocate_vars_with(
self.moving_variance
):
self.moving_stddev = self.add_weight(
name="moving_stddev",
shape=param_shape,
dtype=self._param_dtype,
initializer=moving_stddev_initializer,
synchronization=tf.VariableSynchronization.ON_READ,
trainable=False,
aggregation=tf.VariableAggregation.MEAN,
experimental_autocast=False,
)
# Create variables to maintain the moving mean and standard
# deviation. These are used in training and thus are different
# from the moving averages above. The renorm variables are
# colocated with moving_mean and moving_stddev.
# NOTE: below, the outer `with device` block causes the current
# device stack to be cleared. The nested ones use a `lambda` to
# set the desired device and ignore any devices that may be set
# by the custom getter.
def _renorm_variable(name, shape, initializer="zeros"):
"""Create a renorm variable."""
var = self.add_weight(
name=name,
shape=shape,
dtype=self._param_dtype,
initializer=initializer,
synchronization=tf.VariableSynchronization.ON_READ,
trainable=False,
aggregation=tf.VariableAggregation.MEAN,
experimental_autocast=False,
)
return var
with tf.distribute.get_strategy().extended.colocate_vars_with(
self.moving_mean
):
self.renorm_mean = _renorm_variable(
"renorm_mean", param_shape, self.moving_mean_initializer
)
with tf.distribute.get_strategy().extended.colocate_vars_with(
self.moving_stddev
):
self.renorm_stddev = _renorm_variable(
"renorm_stddev", param_shape, moving_stddev_initializer
)
finally:
if partitioner:
self._scope.set_partitioner(partitioner)
self.built = True
def _assign_moving_average(self, variable, value, momentum, inputs_size):
def calculate_update_delta():
decay = tf.convert_to_tensor(1.0 - momentum, name="decay")
if decay.dtype != variable.dtype.base_dtype:
decay = tf.cast(decay, variable.dtype.base_dtype)
update_delta = (variable - tf.cast(value, variable.dtype)) * decay
if inputs_size is not None:
update_delta = tf.where(
inputs_size > 0,
update_delta,
backend.zeros_like(update_delta),
)
return update_delta
with backend.name_scope("AssignMovingAvg") as scope:
if tf.compat.v1.executing_eagerly_outside_functions():
return variable.assign_sub(calculate_update_delta(), name=scope)
else:
with tf.compat.v1.colocate_with(variable):
return tf.compat.v1.assign_sub(
variable, calculate_update_delta(), name=scope
)
def _assign_new_value(self, variable, value):
with backend.name_scope("AssignNewValue") as scope:
if tf.compat.v1.executing_eagerly_outside_functions():
return variable.assign(value, name=scope)
else:
with tf.compat.v1.colocate_with(variable):
return tf.compat.v1.assign(variable, value, name=scope)
def _fused_batch_norm(self, inputs, mask, training):
"""Returns the output of fused batch norm."""
if mask is not None:
warnings.warn(
"Masking is not supported with `fused=True`. "
"You should either turn off fusing "
"(`fused=False`) or you should not pass a `mask` "
"argument when calling the layer. "
"For the moment `mask` will be ignored for the "
"normalization."
)
if self.center:
beta = self.beta
else:
beta = backend.constant(
0.0, dtype=self._param_dtype, shape=self._param_shape
)
if self.scale:
gamma = self.gamma
else:
gamma = backend.constant(
1.0, dtype=self._param_dtype, shape=self._param_shape
)
# TODO(b/129279393): Support zero batch input in non
# DistributionStrategy code as well.
if self._support_zero_size_input():
# Keras assumes that batch dimension is the first dimension for
# Batch Normalization.
input_batch_size = tf.shape(inputs)[0]
else:
input_batch_size = None
# TODO(rmlarsen): Support using fused avg updates for non-eager
# execution after fixing graph pattern matching and enabling
# fused_batch_norm to take exponential_avg_factor as a tensor input.
use_fused_avg_updates = (
tf.compat.v1.executing_eagerly_outside_functions()
and isinstance(self.momentum, (float, int))
and get_enclosing_xla_context() is None
)
if use_fused_avg_updates:
exponential_avg_factor = 1.0 - self.momentum
else:
exponential_avg_factor = None
def _maybe_add_or_remove_bessels_correction(variance, remove=True):
r"""Add or remove Bessel's correction."""
# Removes Bessel's correction if remove == True, adds it otherwise.
# This is to be consistent with non-fused batch norm. Note that the
# variance computed by fused batch norm is with Bessel's correction.
# This is only used in legacy V1 batch norm tests.
if self._bessels_correction_test_only:
return variance
sample_size = tf.cast(
tf.size(inputs) / tf.size(variance), variance.dtype
)
if remove:
factor = (
sample_size - tf.cast(1.0, variance.dtype)
) / sample_size
else:
factor = sample_size / (
sample_size - tf.cast(1.0, variance.dtype)
)
return variance * factor
def _fused_batch_norm_training():
return tf.compat.v1.nn.fused_batch_norm(
inputs,
gamma,
beta,
mean=self.moving_mean,
variance=_maybe_add_or_remove_bessels_correction(
self.moving_variance, remove=False
),
epsilon=self.epsilon,
is_training=True,
data_format=self._data_format,
exponential_avg_factor=exponential_avg_factor,
)
def _fused_batch_norm_inference():
return tf.compat.v1.nn.fused_batch_norm(
inputs,
gamma,
beta,
mean=self.moving_mean,
variance=self.moving_variance,
epsilon=self.epsilon,
is_training=False,
data_format=self._data_format,
)
output, mean, variance = control_flow_util.smart_cond(
training, _fused_batch_norm_training, _fused_batch_norm_inference
)
variance = _maybe_add_or_remove_bessels_correction(
variance, remove=True
)
training_value = control_flow_util.constant_value(training)
if training_value or training_value is None:
if not use_fused_avg_updates:
if training_value is None:
momentum = control_flow_util.smart_cond(
training, lambda: self.momentum, lambda: 1.0
)
else:
momentum = tf.convert_to_tensor(self.momentum)
def mean_update():
"""Update self.moving_mean with the most recent data point."""
if use_fused_avg_updates:
if input_batch_size is not None:
new_mean = control_flow_util.smart_cond(
input_batch_size > 0,
lambda: mean,
lambda: self.moving_mean,
)
else:
new_mean = mean
return self._assign_new_value(self.moving_mean, new_mean)
else:
return self._assign_moving_average(
self.moving_mean, mean, momentum, input_batch_size
)
def variance_update():
"""Update self.moving_variance with the most recent data
point."""
if use_fused_avg_updates:
if input_batch_size is not None:
new_variance = control_flow_util.smart_cond(
input_batch_size > 0,
lambda: variance,
lambda: self.moving_variance,
)
else:
new_variance = variance
return self._assign_new_value(
self.moving_variance, new_variance
)
else:
return self._assign_moving_average(
self.moving_variance,
variance,
momentum,
input_batch_size,
)
self.add_update(mean_update)
self.add_update(variance_update)
return output
def _renorm_correction_and_moments(
self, mean, variance, training, inputs_size
):
"""Returns the correction and update values for renorm."""
stddev = tf.sqrt(variance + self.epsilon)
# Compute the average mean and standard deviation, as if they were
# initialized with this batch's moments.
renorm_mean = self.renorm_mean
# Avoid divide by zero early on in training.
renorm_stddev = tf.maximum(self.renorm_stddev, tf.sqrt(self.epsilon))
# Compute the corrections for batch renorm.
r = stddev / renorm_stddev
d = (mean - renorm_mean) / renorm_stddev
# Ensure the corrections use pre-update moving averages.
with tf.control_dependencies([r, d]):
mean = tf.identity(mean)
stddev = tf.identity(stddev)
rmin, rmax, dmax = [
self.renorm_clipping.get(key) for key in ["rmin", "rmax", "dmax"]
]
if rmin is not None:
r = tf.maximum(r, rmin)
if rmax is not None:
r = tf.minimum(r, rmax)
if dmax is not None:
d = tf.maximum(d, -dmax)
d = tf.minimum(d, dmax)
# When not training, use r=1, d=0.
r = control_flow_util.smart_cond(
training, lambda: r, lambda: tf.ones_like(r)
)
d = control_flow_util.smart_cond(
training, lambda: d, lambda: tf.zeros_like(d)
)
def _update_renorm_variable(var, value, inputs_size):
"""Updates a moving average and weight, returns the unbiased
value."""
value = tf.identity(value)
def _do_update():
"""Updates the var, returns the updated value."""
new_var = self._assign_moving_average(
var, value, self.renorm_momentum, inputs_size
)
return new_var
def _fake_update():
return tf.identity(var)
return control_flow_util.smart_cond(
training, _do_update, _fake_update
)
# TODO(yuefengz): colocate the operations
update_new_mean = _update_renorm_variable(
self.renorm_mean, mean, inputs_size
)
update_new_stddev = _update_renorm_variable(
self.renorm_stddev, stddev, inputs_size
)
# Update the inference mode moving averages with the batch value.
with tf.control_dependencies([update_new_mean, update_new_stddev]):
out_mean = tf.identity(mean)
out_variance = tf.identity(variance)
return (r, d, out_mean, out_variance)
def _calculate_mean_and_var(
self, inputs, reduction_axes, keep_dims, mask=None
):
if self.synchronized:
return self._sync_calculate_mean_and_var(
inputs, reduction_axes, keep_dims, mask=mask
)
return self._no_sync_calculate_mean_and_var(
inputs, reduction_axes, keep_dims, mask=mask
)
def _no_sync_calculate_mean_and_var(
self, inputs, reduction_axes, keep_dims, mask=None
):
if mask is None:
return tf.nn.moments(inputs, reduction_axes, keepdims=keep_dims)
else:
mask_weights = tf.cast(
mask, self.compute_dtype, name="mask_weights"
)
mask_weights = tf.expand_dims(
mask_weights, axis=-1, name="mask_weights_broadcasted"
)
return tf.nn.weighted_moments(
inputs,
axes=reduction_axes,
frequency_weights=mask_weights,
keepdims=keep_dims,
)
def _moments(self, inputs, reduction_axes, keep_dims, mask=None):
mean, variance = self._calculate_mean_and_var(
inputs, reduction_axes, keep_dims, mask=mask
)
# TODO(b/129279393): Support zero batch input in non
# DistributionStrategy code as well.
if self._support_zero_size_input():
input_batch_size = tf.shape(inputs)[0]
mean = tf.where(
input_batch_size > 0, mean, backend.zeros_like(mean)
)
variance = tf.where(
input_batch_size > 0, variance, backend.zeros_like(variance)
)
return mean, variance
def _get_training_value(self, training=None):
if training is None:
training = backend.learning_phase()
if self._USE_V2_BEHAVIOR:
if isinstance(training, int):
training = bool(training)
if not self.trainable:
# When the layer is not trainable, it overrides the value passed
# from model.
training = False
return training
def call(self, inputs, training=None, mask=None):
inputs = tf.cast(inputs, self.compute_dtype)
training = self._get_training_value(training)
# Determine a boolean value for `training`: could be True, False, or
# None.
training_value = control_flow_util.constant_value(training)
if self.virtual_batch_size is not None:
# Virtual batches (aka ghost batches) can be simulated by reshaping
# the Tensor and reusing the existing batch norm implementation
original_shape = tf.shape(inputs)
original_shape = tf.concat(
[tf.constant([-1]), original_shape[1:]], axis=0
)
if tf.__internal__.tf2.enabled():
expanded_shape = (
[self.virtual_batch_size, -1] if training_value else [-1, 1]
)
expanded_shape = tf.concat(
[
tf.constant(expanded_shape),
original_shape[1:],
],
axis=0,
)
else:
# Preserve incorrect legacy behavior for backwards compatibility
expanded_shape = tf.concat(
[
tf.constant([self.virtual_batch_size, -1]),
original_shape[1:],
],
axis=0,
)
# Will cause errors if virtual_batch_size does not divide the batch
# size
inputs = tf.reshape(inputs, expanded_shape)
def undo_virtual_batching(outputs):
outputs = tf.reshape(outputs, original_shape)
return outputs
if self.fused:
outputs = self._fused_batch_norm(
inputs, mask=mask, training=training
)
if self.virtual_batch_size is not None:
# Currently never reaches here since fused_batch_norm does not
# support virtual batching
outputs = undo_virtual_batching(outputs)
return outputs
inputs_dtype = inputs.dtype.base_dtype
if inputs_dtype in (tf.float16, tf.bfloat16):
# Do all math in float32 if given 16-bit inputs for numeric
# stability. In particular, it's very easy for variance to overflow
# in float16 and for safety we also choose to cast bfloat16 to
# float32.
inputs = tf.cast(inputs, tf.float32)
# Compute the axes along which to reduce the mean / variance
input_shape = inputs.shape
ndims = len(input_shape)
reduction_axes = [i for i in range(ndims) if i not in self.axis]
if self.virtual_batch_size is not None:
del reduction_axes[1] # Do not reduce along virtual batch dim
# Broadcasting only necessary for single-axis batch norm where the axis
# is not the last dimension
broadcast_shape = [1] * ndims
broadcast_shape[self.axis[0]] = input_shape.dims[self.axis[0]].value
def _broadcast(v):
if (
v is not None
and len(v.shape) != ndims
and reduction_axes != list(range(ndims - 1))
):
return tf.reshape(v, broadcast_shape)
return v
scale, offset = _broadcast(self.gamma), _broadcast(self.beta)
def _compose_transforms(scale, offset, then_scale, then_offset):
if then_scale is not None:
scale *= then_scale
offset *= then_scale
if then_offset is not None:
offset += then_offset
return (scale, offset)
if training_value == False: # noqa: E712
mean, variance = self.moving_mean, self.moving_variance
else:
if self.adjustment:
adj_scale, adj_bias = self.adjustment(tf.shape(inputs))
# Adjust only during training.
adj_scale = control_flow_util.smart_cond(
training, lambda: adj_scale, lambda: tf.ones_like(adj_scale)
)
adj_bias = control_flow_util.smart_cond(
training, lambda: adj_bias, lambda: tf.zeros_like(adj_bias)
)
scale, offset = _compose_transforms(
adj_scale, adj_bias, scale, offset
)
# Some of the computations here are not necessary when
# training==False but not a constant. However, this makes the code
# simpler.
keep_dims = (
self.virtual_batch_size is not None or len(self.axis) > 1
)
mean, variance = self._moments(
tf.cast(inputs, self._param_dtype),
reduction_axes,
keep_dims=keep_dims,
mask=mask,
)
moving_mean = self.moving_mean
moving_variance = self.moving_variance
mean = control_flow_util.smart_cond(
training,
lambda: mean,
lambda: tf.convert_to_tensor(moving_mean),
)
variance = control_flow_util.smart_cond(
training,
lambda: variance,
lambda: tf.convert_to_tensor(moving_variance),
)
if self.virtual_batch_size is not None:
# This isn't strictly correct since in ghost batch norm, you are
# supposed to sequentially update the moving_mean and
# moving_variance with each sub-batch. However, since the moving
# statistics are only used during evaluation, it is more
# efficient to just update in one step and should not make a
# significant difference in the result.
new_mean = tf.reduce_mean(mean, axis=1, keepdims=True)
new_variance = tf.reduce_mean(variance, axis=1, keepdims=True)
else:
new_mean, new_variance = mean, variance
if self._support_zero_size_input():
# Keras assumes that batch dimension is the first dimension for
# Batch Normalization.
input_batch_size = tf.shape(inputs)[0]
else:
input_batch_size = None
if self.renorm:
(
r,
d,
new_mean,
new_variance,
) = self._renorm_correction_and_moments(
new_mean, new_variance, training, input_batch_size
)
# When training, the normalized values (say, x) will be
# transformed as x * gamma + beta without renorm, and (x * r +
# d) * gamma + beta = x * (r * gamma) + (d * gamma + beta) with
# renorm.
r = _broadcast(tf.stop_gradient(r, name="renorm_r"))
d = _broadcast(tf.stop_gradient(d, name="renorm_d"))
scale, offset = _compose_transforms(r, d, scale, offset)
def _do_update(var, value):
"""Compute the updates for mean and variance."""
return self._assign_moving_average(
var, value, self.momentum, input_batch_size
)
def mean_update():
true_branch = lambda: _do_update(self.moving_mean, new_mean)
false_branch = lambda: self.moving_mean
return control_flow_util.smart_cond(
training, true_branch, false_branch
)
def variance_update():
"""Update the moving variance."""
def true_branch_renorm():
# We apply epsilon as part of the moving_stddev to mirror
# the training code path.
moving_stddev = _do_update(
self.moving_stddev, tf.sqrt(new_variance + self.epsilon)
)
return self._assign_new_value(
self.moving_variance,
# Apply relu in case floating point rounding causes it
# to go negative.
backend.relu(
moving_stddev * moving_stddev - self.epsilon
),
)
if self.renorm:
true_branch = true_branch_renorm
else:
true_branch = lambda: _do_update(
self.moving_variance, new_variance
)
false_branch = lambda: self.moving_variance
return control_flow_util.smart_cond(
training, true_branch, false_branch
)
self.add_update(mean_update)
self.add_update(variance_update)
mean = tf.cast(mean, inputs.dtype)
variance = tf.cast(variance, inputs.dtype)
if offset is not None:
offset = tf.cast(offset, inputs.dtype)
if scale is not None:
scale = tf.cast(scale, inputs.dtype)
outputs = tf.nn.batch_normalization(
inputs,
_broadcast(mean),
_broadcast(variance),
offset,
scale,
self.epsilon,
)
if inputs_dtype in (tf.float16, tf.bfloat16):
outputs = tf.cast(outputs, inputs_dtype)
# If some components of the shape got lost due to adjustments, fix that.
outputs.set_shape(input_shape)
if self.virtual_batch_size is not None:
outputs = undo_virtual_batching(outputs)
return outputs
def compute_output_shape(self, input_shape):
return input_shape
def get_config(self):
config = {
"axis": self.axis,
"momentum": self.momentum,
"epsilon": self.epsilon,
"center": self.center,
"scale": self.scale,
"beta_initializer": initializers.serialize(self.beta_initializer),
"gamma_initializer": initializers.serialize(self.gamma_initializer),
"moving_mean_initializer": initializers.serialize(
self.moving_mean_initializer
),
"moving_variance_initializer": initializers.serialize(
self.moving_variance_initializer
),
"beta_regularizer": regularizers.serialize(self.beta_regularizer),
"gamma_regularizer": regularizers.serialize(self.gamma_regularizer),
"beta_constraint": constraints.serialize(self.beta_constraint),
"gamma_constraint": constraints.serialize(self.gamma_constraint),
}
# Only add TensorFlow-specific parameters if they are set, so as to
# preserve model compatibility with external Keras.
if self.renorm:
config["renorm"] = True
config["renorm_clipping"] = self.renorm_clipping
config["renorm_momentum"] = self.renorm_momentum
if self.virtual_batch_size is not None:
config["virtual_batch_size"] = self.virtual_batch_size
# Note: adjustment is not serializable.
if self.adjustment is not None:
logging.warning(
"The `adjustment` function of this `BatchNormalization` "
"layer cannot be serialized and has been omitted from "
"the layer config. It will not be included when "
"re-creating the layer from the saved config."
)
base_config = super().get_config()
return dict(list(base_config.items()) + list(config.items()))
def _sync_calculate_mean_and_var(self, x, axes, keep_dims, mask=None):
with backend.name_scope("moments"):
# The dynamic range of fp16 is too limited to support the collection
# of sufficient statistics. As a workaround we simply perform the
# operations on 32-bit floats before converting the mean and
# variance back to fp16
y = tf.cast(x, tf.float32) if x.dtype == tf.float16 else x
replica_ctx = tf.distribute.get_replica_context()
if not replica_ctx:
return self._no_sync_calculate_mean_and_var(
x, axes, keep_dims, mask=mask
)
if mask is not None:
mask_weights = tf.cast(mask, tf.float32, name="mask_weights")
mask_weights = tf.expand_dims(
mask_weights, axis=-1, name="mask_weights_broadcasted"
)
y *= mask_weights
local_sum = tf.reduce_sum(y, axis=axes, keepdims=True)
local_squared_sum = tf.reduce_sum(
tf.square(y), axis=axes, keepdims=True
)
batch_size = tf.cast(tf.shape(y)[axes[0]], tf.float32)
# TODO(b/163099951): batch the all-reduces once we sort out the
# ordering issue for NCCL. We don't have a mechanism to launch
# NCCL in the same order in each replica nowadays, so we limit
# NCCL to batch all-reduces.
y_sum = replica_ctx.all_reduce(
tf.distribute.ReduceOp.SUM, local_sum
)
y_squared_sum = replica_ctx.all_reduce(
tf.distribute.ReduceOp.SUM, local_squared_sum
)
global_batch_size = replica_ctx.all_reduce(
tf.distribute.ReduceOp.SUM, batch_size
)
axes_vals = [(tf.shape(y))[axes[i]] for i in range(1, len(axes))]
multiplier = tf.cast(tf.reduce_prod(axes_vals), tf.float32)
multiplier = multiplier * global_batch_size
mean = y_sum / multiplier
y_squared_mean = y_squared_sum / multiplier
# var = E(x^2) - E(x)^2
variance = y_squared_mean - tf.square(mean)
if not keep_dims:
mean = tf.squeeze(mean, axes)
variance = tf.squeeze(variance, axes)
if x.dtype == tf.float16:
return (
tf.cast(mean, tf.float16),
tf.cast(variance, tf.float16),
)
else:
return (mean, variance)
@keras_export("keras.layers.BatchNormalization", v1=[])
class BatchNormalization(BatchNormalizationBase):
"""Layer that normalizes its inputs.
Batch normalization applies a transformation that maintains the mean output
close to 0 and the output standard deviation close to 1.
Importantly, batch normalization works differently during training and
during inference.
**During training** (i.e. when using `fit()` or when calling the layer/model
with the argument `training=True`), the layer normalizes its output using
the mean and standard deviation of the current batch of inputs. That is to
say, for each channel being normalized, the layer returns
`gamma * (batch - mean(batch)) / sqrt(var(batch) + epsilon) + beta`, where:
- `epsilon` is small constant (configurable as part of the constructor
arguments)
- `gamma` is a learned scaling factor (initialized as 1), which
can be disabled by passing `scale=False` to the constructor.
- `beta` is a learned offset factor (initialized as 0), which
can be disabled by passing `center=False` to the constructor.
**During inference** (i.e. when using `evaluate()` or `predict()` or when
calling the layer/model with the argument `training=False` (which is the
default), the layer normalizes its output using a moving average of the
mean and standard deviation of the batches it has seen during training. That
is to say, it returns
`gamma * (batch - self.moving_mean) / sqrt(self.moving_var+epsilon) + beta`.
`self.moving_mean` and `self.moving_var` are non-trainable variables that
are updated each time the layer in called in training mode, as such:
- `moving_mean = moving_mean * momentum + mean(batch) * (1 - momentum)`
- `moving_var = moving_var * momentum + var(batch) * (1 - momentum)`
As such, the layer will only normalize its inputs during inference
*after having been trained on data that has similar statistics as the
inference data*.
When `synchronized=True` is set and if this layer is used within a
`tf.distribute` strategy, there will be an `allreduce` call
to aggregate batch statistics across all replicas at every
training step. Setting `synchronized` has no impact when the model is
trained without specifying any distribution strategy.
Example usage:
```python
strategy = tf.distribute.MirroredStrategy()
with strategy.scope():
model = tf.keras.Sequential()
model.add(tf.keras.layers.Dense(16))
model.add(tf.keras.layers.BatchNormalization(synchronized=True))
```
Args:
axis: Integer, the axis that should be normalized (typically the features
axis). For instance, after a `Conv2D` layer with
`data_format="channels_first"`, set `axis=1` in `BatchNormalization`.
momentum: Momentum for the moving average.
epsilon: Small float added to variance to avoid dividing by zero.
center: If True, add offset of `beta` to normalized tensor. If False,
`beta` is ignored.
scale: If True, multiply by `gamma`. If False, `gamma` is not used. When
the next layer is linear (also e.g. `nn.relu`), this can be disabled
since the scaling will be done by the next layer.
beta_initializer: Initializer for the beta weight.
gamma_initializer: Initializer for the gamma weight.
moving_mean_initializer: Initializer for the moving mean.
moving_variance_initializer: Initializer for the moving variance.
beta_regularizer: Optional regularizer for the beta weight.
gamma_regularizer: Optional regularizer for the gamma weight.
beta_constraint: Optional constraint for the beta weight.
gamma_constraint: Optional constraint for the gamma weight.
synchronized: If True, synchronizes the global batch statistics (mean and
variance) for the layer across all devices at each training step in a
distributed training strategy. If False, each replica uses its own
local batch statistics. Only relevant when used inside a
`tf.distribute` strategy.
Call arguments:
inputs: Input tensor (of any rank).
training: Python boolean indicating whether the layer should behave in
training mode or in inference mode.
- `training=True`: The layer will normalize its inputs using the mean
and variance of the current batch of inputs.
- `training=False`: The layer will normalize its inputs using the mean
and variance of its moving statistics, learned during training.
Input shape:
Arbitrary. Use the keyword argument `input_shape` (tuple of
integers, does not include the samples axis) when using this layer as the
first layer in a model.
Output shape:
Same shape as input.
Reference:
- [Ioffe and Szegedy, 2015](https://arxiv.org/abs/1502.03167).
**About setting `layer.trainable = False` on a `BatchNormalization` layer:**
The meaning of setting `layer.trainable = False` is to freeze the layer,
i.e. its internal state will not change during training:
its trainable weights will not be updated
during `fit()` or `train_on_batch()`, and its state updates will not be run.
Usually, this does not necessarily mean that the layer is run in inference
mode (which is normally controlled by the `training` argument that can
be passed when calling a layer). "Frozen state" and "inference mode"
are two separate concepts.
However, in the case of the `BatchNormalization` layer, **setting
`trainable = False` on the layer means that the layer will be
subsequently run in inference mode** (meaning that it will use
the moving mean and the moving variance to normalize the current batch,
rather than using the mean and variance of the current batch).
This behavior has been introduced in TensorFlow 2.0, in order
to enable `layer.trainable = False` to produce the most commonly
expected behavior in the convnet fine-tuning use case.
Note that:
- Setting `trainable` on an model containing other layers will
recursively set the `trainable` value of all inner layers.
- If the value of the `trainable`
attribute is changed after calling `compile()` on a model,
the new value doesn't take effect for this model
until `compile()` is called again.
"""
_USE_V2_BEHAVIOR = True
@utils.allow_initializer_layout
def __init__(
self,
axis=-1,
momentum=0.99,
epsilon=1e-3,
center=True,
scale=True,
beta_initializer="zeros",
gamma_initializer="ones",
moving_mean_initializer="zeros",
moving_variance_initializer="ones",
beta_regularizer=None,
gamma_regularizer=None,
beta_constraint=None,
gamma_constraint=None,
synchronized=False,
**kwargs,
):
# Currently we only support aggregating over the global batch size.
super().__init__(
axis=axis,
momentum=momentum,
epsilon=epsilon,
center=center,
scale=scale,
beta_initializer=beta_initializer,
gamma_initializer=gamma_initializer,
moving_mean_initializer=moving_mean_initializer,
moving_variance_initializer=moving_variance_initializer,
beta_regularizer=beta_regularizer,
gamma_regularizer=gamma_regularizer,
beta_constraint=beta_constraint,
gamma_constraint=gamma_constraint,
synchronized=synchronized,
**kwargs,
)
@keras_export("keras.layers.experimental.SyncBatchNormalization", v1=[])
@deprecation.deprecated_endpoints(
"keras.layers.experimental.SyncBatchNormalization"
)
class SyncBatchNormalization(BatchNormalizationBase):
"""Deprecated. Please use `tf.keras.layers.BatchNormalization` instead.
Caution: `tf.keras.layers.experimental.SyncBatchNormalization` endpoint is
deprecated and will be removed in a future release. Please use
`tf.keras.layers.BatchNormalization` with parameter `synchronized`
set to True
"""
def __init__(
self,
axis=-1,
momentum=0.99,
epsilon=1e-3,
center=True,
scale=True,
beta_initializer="zeros",
gamma_initializer="ones",
moving_mean_initializer="zeros",
moving_variance_initializer="ones",
beta_regularizer=None,
gamma_regularizer=None,
beta_constraint=None,
gamma_constraint=None,
**kwargs,
):
logging.warning(
"`tf.keras.layers.experimental.SyncBatchNormalization` endpoint is "
"deprecated and will be removed in a future release. Please use "
"`tf.keras.layers.BatchNormalization` with parameter "
"`synchronized` set to True."
)
super().__init__(
axis=axis,
momentum=momentum,
epsilon=epsilon,
center=center,
scale=scale,
beta_initializer=beta_initializer,
gamma_initializer=gamma_initializer,
moving_mean_initializer=moving_mean_initializer,
moving_variance_initializer=moving_variance_initializer,
beta_regularizer=beta_regularizer,
gamma_regularizer=gamma_regularizer,
beta_constraint=beta_constraint,
gamma_constraint=gamma_constraint,
synchronized=True,
**kwargs,
)