423 lines
		
	
	
		
			18 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
		
		
			
		
	
	
			423 lines
		
	
	
		
			18 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
|   | # 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. | ||
|  | # ============================================================================== | ||
|  | """Base class to make optimizers weight decay ready.""" | ||
|  | from __future__ import absolute_import | ||
|  | from __future__ import division | ||
|  | from __future__ import print_function | ||
|  | 
 | ||
|  | import tensorflow as tf | ||
|  | 
 | ||
|  | 
 | ||
|  | class DecoupledWeightDecayExtension(object): | ||
|  |     """This class allows to extend optimizers with decoupled weight decay.
 | ||
|  | 
 | ||
|  |     It implements the decoupled weight decay described by Loshchilov & Hutter | ||
|  |     (https://arxiv.org/pdf/1711.05101.pdf), in which the weight decay is | ||
|  |     decoupled from the optimization steps w.r.t. to the loss function. | ||
|  |     For SGD variants, this simplifies hyperparameter search since it decouples | ||
|  |     the settings of weight decay and learning rate. | ||
|  |     For adaptive gradient algorithms, it regularizes variables with large | ||
|  |     gradients more than L2 regularization would, which was shown to yield | ||
|  |     better training loss and generalization error in the paper above. | ||
|  | 
 | ||
|  |     This class alone is not an optimizer but rather extends existing | ||
|  |     optimizers with decoupled weight decay. We explicitly define the two | ||
|  |     examples used in the above paper (SGDW and AdamW), but in general this | ||
|  |     can extend any OptimizerX by using | ||
|  |     `extend_with_decoupled_weight_decay( | ||
|  |         OptimizerX, weight_decay=weight_decay)`. | ||
|  |     In order for it to work, it must be the first class the Optimizer with | ||
|  |     weight decay inherits from, e.g. | ||
|  | 
 | ||
|  |     ```python | ||
|  |     class AdamW(DecoupledWeightDecayExtension, tf.keras.optimizers.Adam): | ||
|  |       def __init__(self, weight_decay, *args, **kwargs): | ||
|  |         super(AdamW, self).__init__(weight_decay, *args, **kwargs). | ||
|  |     ``` | ||
|  | 
 | ||
|  |     Note: this extension decays weights BEFORE applying the update based | ||
|  |     on the gradient, i.e. this extension only has the desired behaviour for | ||
|  |     optimizers which do not depend on the value of'var' in the update step! | ||
|  | 
 | ||
|  |     Note: when applying a decay to the learning rate, be sure to manually apply | ||
|  |     the decay to the `weight_decay` as well. For example: | ||
|  | 
 | ||
|  |     ```python | ||
|  |     step = tf.Variable(0, trainable=False) | ||
|  |     schedule = tf.optimizers.schedules.PiecewiseConstantDecay( | ||
|  |         [10000, 15000], [1e-0, 1e-1, 1e-2]) | ||
|  |     # lr and wd can be a function or a tensor | ||
|  |     lr = 1e-1 * schedule(step) | ||
|  |     wd = lambda: 1e-4 * schedule(step) | ||
|  | 
 | ||
|  |     # ... | ||
|  | 
 | ||
|  |     optimizer = tfa.optimizers.AdamW(learning_rate=lr, weight_decay=wd) | ||
|  |     ``` | ||
|  |     """
 | ||
|  | 
 | ||
|  |     def __init__(self, weight_decay, **kwargs): | ||
|  |         """Extension class that adds weight decay to an optimizer.
 | ||
|  | 
 | ||
|  |         Args: | ||
|  |             weight_decay: A `Tensor` or a floating point value, the factor by | ||
|  |                 which a variable is decayed in the update step. | ||
|  |             **kwargs: Optional list or tuple or set of `Variable` objects to | ||
|  |                 decay. | ||
|  |         """
 | ||
|  |         wd = kwargs.pop('weight_decay', weight_decay) | ||
|  |         super(DecoupledWeightDecayExtension, self).__init__(**kwargs) | ||
|  |         self._decay_var_list = None  # is set in minimize or apply_gradients | ||
|  |         self._set_hyper('weight_decay', wd) | ||
|  | 
 | ||
|  |     def get_config(self): | ||
|  |         config = super(DecoupledWeightDecayExtension, self).get_config() | ||
|  |         config.update({ | ||
|  |             'weight_decay': | ||
|  |             self._serialize_hyperparameter('weight_decay'), | ||
|  |         }) | ||
|  |         return config | ||
|  | 
 | ||
|  |     def minimize(self, | ||
|  |                  loss, | ||
|  |                  var_list, | ||
|  |                  grad_loss=None, | ||
|  |                  name=None, | ||
|  |                  decay_var_list=None): | ||
|  |         """Minimize `loss` by updating `var_list`.
 | ||
|  | 
 | ||
|  |         This method simply computes gradient using `tf.GradientTape` and calls | ||
|  |         `apply_gradients()`. If you want to process the gradient before | ||
|  |         applying then call `tf.GradientTape` and `apply_gradients()` explicitly | ||
|  |         instead of using this function. | ||
|  | 
 | ||
|  |         Args: | ||
|  |             loss: A callable taking no arguments which returns the value to | ||
|  |                 minimize. | ||
|  |             var_list: list or tuple of `Variable` objects to update to | ||
|  |                 minimize `loss`, or a callable returning the list or tuple of | ||
|  |                 `Variable` objects. Use callable when the variable list would | ||
|  |                 otherwise be incomplete before `minimize` since the variables | ||
|  |                 are created at the first time `loss` is called. | ||
|  |             grad_loss: Optional. A `Tensor` holding the gradient computed for | ||
|  |                 `loss`. | ||
|  |             decay_var_list: Optional list of variables to be decayed. Defaults | ||
|  |                 to all variables in var_list. | ||
|  |             name: Optional name for the returned operation. | ||
|  |         Returns: | ||
|  |             An Operation that updates the variables in `var_list`.  If | ||
|  |             `global_step` was not `None`, that operation also increments | ||
|  |             `global_step`. | ||
|  |         Raises: | ||
|  |             ValueError: If some of the variables are not `Variable` objects. | ||
|  |         """
 | ||
|  |         self._decay_var_list = set(decay_var_list) if decay_var_list else False | ||
|  |         return super(DecoupledWeightDecayExtension, self).minimize( | ||
|  |             loss, var_list=var_list, grad_loss=grad_loss, name=name) | ||
|  | 
 | ||
|  |     def apply_gradients(self, grads_and_vars, name=None, decay_var_list=None): | ||
|  |         """Apply gradients to variables.
 | ||
|  | 
 | ||
|  |         This is the second part of `minimize()`. It returns an `Operation` that | ||
|  |         applies gradients. | ||
|  | 
 | ||
|  |         Args: | ||
|  |             grads_and_vars: List of (gradient, variable) pairs. | ||
|  |             name: Optional name for the returned operation.  Default to the | ||
|  |                 name passed to the `Optimizer` constructor. | ||
|  |             decay_var_list: Optional list of variables to be decayed. Defaults | ||
|  |                 to all variables in var_list. | ||
|  |         Returns: | ||
|  |             An `Operation` that applies the specified gradients. If | ||
|  |             `global_step` was not None, that operation also increments | ||
|  |             `global_step`. | ||
|  |         Raises: | ||
|  |             TypeError: If `grads_and_vars` is malformed. | ||
|  |             ValueError: If none of the variables have gradients. | ||
|  |         """
 | ||
|  |         self._decay_var_list = set(decay_var_list) if decay_var_list else False | ||
|  |         return super(DecoupledWeightDecayExtension, self).apply_gradients( | ||
|  |             grads_and_vars, name=name) | ||
|  | 
 | ||
|  |     def _decay_weights_op(self, var): | ||
|  |         if not self._decay_var_list or var in self._decay_var_list: | ||
|  |             return var.assign_sub( | ||
|  |                 self._get_hyper('weight_decay', var.dtype) * var, | ||
|  |                 self._use_locking) | ||
|  |         return tf.no_op() | ||
|  | 
 | ||
|  |     def _decay_weights_sparse_op(self, var, indices): | ||
|  |         if not self._decay_var_list or var in self._decay_var_list: | ||
|  |             update = (-self._get_hyper('weight_decay', var.dtype) * tf.gather( | ||
|  |                 var, indices)) | ||
|  |             return self._resource_scatter_add(var, indices, update) | ||
|  |         return tf.no_op() | ||
|  | 
 | ||
|  |     # Here, we overwrite the apply functions that the base optimizer calls. | ||
|  |     # super().apply_x resolves to the apply_x function of the BaseOptimizer. | ||
|  | 
 | ||
|  |     def _resource_apply_dense(self, grad, var): | ||
|  |         with tf.control_dependencies([self._decay_weights_op(var)]): | ||
|  |             return super(DecoupledWeightDecayExtension, | ||
|  |                          self)._resource_apply_dense(grad, var) | ||
|  | 
 | ||
|  |     def _resource_apply_sparse(self, grad, var, indices): | ||
|  |         decay_op = self._decay_weights_sparse_op(var, indices) | ||
|  |         with tf.control_dependencies([decay_op]): | ||
|  |             return super(DecoupledWeightDecayExtension, | ||
|  |                          self)._resource_apply_sparse(grad, var, indices) | ||
|  | 
 | ||
|  | 
 | ||
|  | def extend_with_decoupled_weight_decay(base_optimizer): | ||
|  |     """Factory function returning an optimizer class with decoupled weight
 | ||
|  |     decay. | ||
|  | 
 | ||
|  |     Returns an optimizer class. An instance of the returned class computes the | ||
|  |     update step of `base_optimizer` and additionally decays the weights. | ||
|  |     E.g., the class returned by | ||
|  |     `extend_with_decoupled_weight_decay(tf.keras.optimizers.Adam)` is | ||
|  |     equivalent to `tfa.optimizers.AdamW`. | ||
|  | 
 | ||
|  |     The API of the new optimizer class slightly differs from the API of the | ||
|  |     base optimizer: | ||
|  |     - The first argument to the constructor is the weight decay rate. | ||
|  |     - `minimize` and `apply_gradients` accept the optional keyword argument | ||
|  |       `decay_var_list`, which specifies the variables that should be decayed. | ||
|  |       If `None`, all variables that are optimized are decayed. | ||
|  | 
 | ||
|  |     Usage example: | ||
|  |     ```python | ||
|  |     # MyAdamW is a new class | ||
|  |     MyAdamW = extend_with_decoupled_weight_decay(tf.keras.optimizers.Adam) | ||
|  |     # Create a MyAdamW object | ||
|  |     optimizer = MyAdamW(weight_decay=0.001, learning_rate=0.001) | ||
|  |     # update var1, var2 but only decay var1 | ||
|  |     optimizer.minimize(loss, var_list=[var1, var2], decay_variables=[var1]) | ||
|  | 
 | ||
|  |     Note: this extension decays weights BEFORE applying the update based | ||
|  |     on the gradient, i.e. this extension only has the desired behaviour for | ||
|  |     optimizers which do not depend on the value of 'var' in the update step! | ||
|  | 
 | ||
|  |     Note: when applying a decay to the learning rate, be sure to manually apply | ||
|  |     the decay to the `weight_decay` as well. For example: | ||
|  | 
 | ||
|  |     ```python | ||
|  |     step = tf.Variable(0, trainable=False) | ||
|  |     schedule = tf.optimizers.schedules.PiecewiseConstantDecay( | ||
|  |         [10000, 15000], [1e-0, 1e-1, 1e-2]) | ||
|  |     # lr and wd can be a function or a tensor | ||
|  |     lr = 1e-1 * schedule(step) | ||
|  |     wd = lambda: 1e-4 * schedule(step) | ||
|  | 
 | ||
|  |     # ... | ||
|  | 
 | ||
|  |     optimizer = tfa.optimizers.AdamW(learning_rate=lr, weight_decay=wd) | ||
|  |     ``` | ||
|  | 
 | ||
|  |     Note: you might want to register your own custom optimizer using | ||
|  |     `tf.keras.utils.get_custom_objects()`. | ||
|  | 
 | ||
|  |     Args: | ||
|  |         base_optimizer: An optimizer class that inherits from | ||
|  |             tf.optimizers.Optimizer. | ||
|  | 
 | ||
|  |     Returns: | ||
|  |         A new optimizer class that inherits from DecoupledWeightDecayExtension | ||
|  |         and base_optimizer. | ||
|  |     """
 | ||
|  | 
 | ||
|  |     class OptimizerWithDecoupledWeightDecay(DecoupledWeightDecayExtension, | ||
|  |                                             base_optimizer): | ||
|  |         """Base_optimizer with decoupled weight decay.
 | ||
|  | 
 | ||
|  |         This class computes the update step of `base_optimizer` and | ||
|  |         additionally decays the variable with the weight decay being | ||
|  |         decoupled from the optimization steps w.r.t. to the loss | ||
|  |         function, as described by Loshchilov & Hutter | ||
|  |         (https://arxiv.org/pdf/1711.05101.pdf). For SGD variants, this | ||
|  |         simplifies hyperparameter search since it decouples the settings | ||
|  |         of weight decay and learning rate. For adaptive gradient | ||
|  |         algorithms, it regularizes variables with large gradients more | ||
|  |         than L2 regularization would, which was shown to yield better | ||
|  |         training loss and generalization error in the paper above. | ||
|  |         """
 | ||
|  | 
 | ||
|  |         def __init__(self, weight_decay, *args, **kwargs): | ||
|  |             # super delegation is necessary here | ||
|  |             super(OptimizerWithDecoupledWeightDecay, self).__init__( | ||
|  |                 weight_decay, *args, **kwargs) | ||
|  | 
 | ||
|  |     return OptimizerWithDecoupledWeightDecay | ||
|  | 
 | ||
|  | 
 | ||
|  | class SGDW(DecoupledWeightDecayExtension, tf.keras.optimizers.SGD): | ||
|  |     """Optimizer that implements the Momentum algorithm with weight_decay.
 | ||
|  | 
 | ||
|  |     This is an implementation of the SGDW optimizer described in "Decoupled | ||
|  |     Weight Decay Regularization" by Loshchilov & Hutter | ||
|  |     (https://arxiv.org/abs/1711.05101) | ||
|  |     ([pdf])(https://arxiv.org/pdf/1711.05101.pdf). | ||
|  |     It computes the update step of `tf.keras.optimizers.SGD` and additionally | ||
|  |     decays the variable. Note that this is different from adding | ||
|  |     L2 regularization on the variables to the loss. Decoupling the weight decay | ||
|  |     from other hyperparameters (in particular the learning rate) simplifies | ||
|  |     hyperparameter search. | ||
|  | 
 | ||
|  |     For further information see the documentation of the SGD Optimizer. | ||
|  | 
 | ||
|  |     This optimizer can also be instantiated as | ||
|  |     ```python | ||
|  |     extend_with_decoupled_weight_decay(tf.keras.optimizers.SGD, | ||
|  |                                        weight_decay=weight_decay) | ||
|  |     ``` | ||
|  | 
 | ||
|  |     Note: when applying a decay to the learning rate, be sure to manually apply | ||
|  |     the decay to the `weight_decay` as well. For example: | ||
|  | 
 | ||
|  |     ```python | ||
|  |     step = tf.Variable(0, trainable=False) | ||
|  |     schedule = tf.optimizers.schedules.PiecewiseConstantDecay( | ||
|  |         [10000, 15000], [1e-0, 1e-1, 1e-2]) | ||
|  |     # lr and wd can be a function or a tensor | ||
|  |     lr = 1e-1 * schedule(step) | ||
|  |     wd = lambda: 1e-4 * schedule(step) | ||
|  | 
 | ||
|  |     # ... | ||
|  | 
 | ||
|  |     optimizer = tfa.optimizers.SGDW( | ||
|  |         learning_rate=lr, weight_decay=wd, momentum=0.9) | ||
|  |     ``` | ||
|  |     """
 | ||
|  | 
 | ||
|  |     def __init__(self, | ||
|  |                  weight_decay, | ||
|  |                  learning_rate=0.001, | ||
|  |                  momentum=0.0, | ||
|  |                  nesterov=False, | ||
|  |                  name='SGDW', | ||
|  |                  **kwargs): | ||
|  |         """Construct a new SGDW optimizer.
 | ||
|  | 
 | ||
|  |         For further information see the documentation of the SGD Optimizer. | ||
|  | 
 | ||
|  |         Args: | ||
|  |             learning_rate: float hyperparameter >= 0. Learning rate. | ||
|  |             momentum: float hyperparameter >= 0 that accelerates SGD in the | ||
|  |                 relevant direction and dampens oscillations. | ||
|  |             nesterov: boolean. Whether to apply Nesterov momentum. | ||
|  |             name: Optional name prefix for the operations created when applying | ||
|  |                 gradients.  Defaults to 'SGD'. | ||
|  |             **kwargs: keyword arguments. Allowed to be {`clipnorm`, | ||
|  |                 `clipvalue`, `lr`, `decay`}. `clipnorm` is clip gradients by | ||
|  |                 norm; `clipvalue` is clip gradients by value, `decay` is | ||
|  |                 included for backward compatibility to allow time inverse decay | ||
|  |                 of learning rate. `lr` is included for backward compatibility, | ||
|  |                 recommended to use `learning_rate` instead. | ||
|  |         """
 | ||
|  |         super(SGDW, self).__init__( | ||
|  |             weight_decay, | ||
|  |             learning_rate=learning_rate, | ||
|  |             momentum=momentum, | ||
|  |             nesterov=nesterov, | ||
|  |             name=name, | ||
|  |             **kwargs) | ||
|  | 
 | ||
|  | 
 | ||
|  | class AdamW(DecoupledWeightDecayExtension, tf.keras.optimizers.Adam): | ||
|  |     """Optimizer that implements the Adam algorithm with weight decay.
 | ||
|  | 
 | ||
|  |     This is an implementation of the AdamW optimizer described in "Decoupled | ||
|  |     Weight Decay Regularization" by Loshchilov & Hutter | ||
|  |     (https://arxiv.org/abs/1711.05101) | ||
|  |     ([pdf])(https://arxiv.org/pdf/1711.05101.pdf). | ||
|  | 
 | ||
|  |     It computes the update step of `tf.keras.optimizers.Adam` and additionally | ||
|  |     decays the variable. Note that this is different from adding L2 | ||
|  |     regularization on the variables to the loss: it regularizes variables with | ||
|  |     large gradients more than L2 regularization would, which was shown to yield | ||
|  |     better training loss and generalization error in the paper above. | ||
|  | 
 | ||
|  |     For further information see the documentation of the Adam Optimizer. | ||
|  | 
 | ||
|  |     This optimizer can also be instantiated as | ||
|  |     ```python | ||
|  |     extend_with_decoupled_weight_decay(tf.keras.optimizers.Adam, | ||
|  |                                        weight_decay=weight_decay) | ||
|  |     ``` | ||
|  | 
 | ||
|  |     Note: when applying a decay to the learning rate, be sure to manually apply | ||
|  |     the decay to the `weight_decay` as well. For example: | ||
|  | 
 | ||
|  |     ```python | ||
|  |     step = tf.Variable(0, trainable=False) | ||
|  |     schedule = tf.optimizers.schedules.PiecewiseConstantDecay( | ||
|  |         [10000, 15000], [1e-0, 1e-1, 1e-2]) | ||
|  |     # lr and wd can be a function or a tensor | ||
|  |     lr = 1e-1 * schedule(step) | ||
|  |     wd = lambda: 1e-4 * schedule(step) | ||
|  | 
 | ||
|  |     # ... | ||
|  | 
 | ||
|  |     optimizer = tfa.optimizers.AdamW(learning_rate=lr, weight_decay=wd) | ||
|  |     ``` | ||
|  |     """
 | ||
|  | 
 | ||
|  |     def __init__(self, | ||
|  |                  weight_decay, | ||
|  |                  learning_rate=0.001, | ||
|  |                  beta_1=0.9, | ||
|  |                  beta_2=0.999, | ||
|  |                  epsilon=1e-07, | ||
|  |                  amsgrad=False, | ||
|  |                  name="AdamW", | ||
|  |                  **kwargs): | ||
|  |         """Construct a new AdamW optimizer.
 | ||
|  | 
 | ||
|  |         For further information see the documentation of the Adam Optimizer. | ||
|  | 
 | ||
|  |         Args: | ||
|  |             weight_decay: A Tensor or a floating point value. The weight decay. | ||
|  |             learning_rate: A Tensor or a floating point value. The learning | ||
|  |                 rate. | ||
|  |             beta_1: A float value or a constant float tensor. The exponential | ||
|  |                 decay rate for the 1st moment estimates. | ||
|  |             beta_2: A float value or a constant float tensor. The exponential | ||
|  |                 decay rate for the 2nd moment estimates. | ||
|  |             epsilon: A small constant for numerical stability. This epsilon is | ||
|  |                 "epsilon hat" in the Kingma and Ba paper (in the formula just | ||
|  |                 before Section 2.1), not the epsilon in Algorithm 1 of the | ||
|  |                 paper. | ||
|  |             amsgrad: boolean. Whether to apply AMSGrad variant of this | ||
|  |                 algorithm from the paper "On the Convergence of Adam and | ||
|  |                 beyond". | ||
|  |             name: Optional name for the operations created when applying | ||
|  |                 gradients. Defaults to "AdamW". | ||
|  |             **kwargs: keyword arguments. Allowed to be {`clipnorm`, | ||
|  |                 `clipvalue`, `lr`, `decay`}. `clipnorm` is clip gradients by | ||
|  |                 norm; `clipvalue` is clip gradients by value, `decay` is | ||
|  |                 included for backward compatibility to allow time inverse decay | ||
|  |                 of learning rate. `lr` is included for backward compatibility, | ||
|  |                 recommended to use `learning_rate` instead. | ||
|  |         """
 | ||
|  |         super(AdamW, self).__init__( | ||
|  |             weight_decay, | ||
|  |             learning_rate=learning_rate, | ||
|  |             beta_1=beta_1, | ||
|  |             beta_2=beta_2, | ||
|  |             epsilon=epsilon, | ||
|  |             amsgrad=amsgrad, | ||
|  |             name=name, | ||
|  |             **kwargs) |