# Copyright (c) 2020 PaddlePaddle 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. import warnings from paddle import _C_ops from ..fluid import framework from ..fluid.framework import in_dygraph_mode from .optimizer import Optimizer __all__ = [] class RMSProp(Optimizer): r""" Root Mean Squared Propagation (RMSProp) is an unpublished, adaptive learning rate method. The original slides proposed RMSProp: Slide 29 of http://www.cs.toronto.edu/~tijmen/csc321/slides/lecture_slides_lec6.pdf . The original equation is as follows: .. math:: r(w, t) & = \rho r(w, t-1) + (1 - \rho)(\nabla Q_{i}(w))^2 w & = w - \frac{\eta} {\sqrt{r(w,t) + \epsilon}} \nabla Q_{i}(w) The first equation calculates moving average of the squared gradient for each weight. Then dividing the gradient by :math:`sqrt{v(w,t)}`. In some cases, adding a momentum term :math: `\\beta` is beneficial. In our implementation, Nesterov momentum is used: .. math:: r(w, t) & = \rho r(w, t-1) + (1 - \rho)(\nabla Q_{i}(w))^2 v(w, t) & = \beta v(w, t-1) + \frac{\eta} {\sqrt{r(w,t) + \epsilon}} \nabla Q_{i}(w) w & = w - v(w, t) if centered is True: .. math:: r(w, t) & = \rho r(w, t-1) + (1 - \rho)(\nabla Q_{i}(w))^2 g(w, t) & = \rho g(w, t-1) + (1 - \rho)\nabla Q_{i}(w) v(w, t) & = \beta v(w, t-1) + \frac{\eta} {\sqrt{r(w,t) - (g(w, t))^2 + \epsilon}} \nabla Q_{i}(w) w & = w - v(w, t) where, :math:`\rho` is a hyperparameter and typical values are 0.9, 0.95 and so on. :math:`\beta` is the momentum term. :math:`\epsilon` is a smoothing term to avoid division by zero, usually set somewhere in range from 1e-4 to 1e-8. Parameters: learning_rate (float|LRScheduler): The learning rate used to update ``Parameter``. It can be a float value or a LRScheduler. rho(float, optional): rho is :math:`\rho` in equation, default is 0.95. epsilon(float, optional): :math:`\epsilon` in equation is smoothing term to avoid division by zero, default is 1e-6. momentum(float, optional): :math:`\beta` in equation is the momentum term, default is 0.0. centered(bool, optional): If True, gradients are normalized by the estimated variance of the gradient; if False, by the uncentered second moment. Setting this to True may help with training, but is slightly more expensive in terms of computation and memory. Defaults to False. parameters (list|tuple, optional): List/Tuple of ``Tensor`` to update to minimize ``loss``. This parameter is required in dygraph mode. And you can specify different options for different parameter groups such as the learning rate, weight decay, etc, then the parameters are list of dict. Note that the learning_rate in paramter groups represents the scale of base learning_rate. The default value is None in static graph mode, at this time all parameters will be updated. weight_decay (float|WeightDecayRegularizer, optional): The strategy of regularization. It canbe a float value as coeff of L2 regularization or \ :ref:`api_fluid_regularizer_L1Decay`, :ref:`api_fluid_regularizer_L2Decay`. If a parameter has set regularizer using :ref:`api_fluid_ParamAttr` already, the regularization setting here in optimizer will be ignored for this parameter. Otherwise, the regularization setting here in optimizer will take effect. Default None, meaning there is no regularization. grad_clip (GradientClipBase, optional): Gradient cliping strategy, it's an instance of some derived class of ``GradientClipBase`` . There are three cliping strategies ( :ref:`api_fluid_clip_GradientClipByGlobalNorm` , :ref:`api_fluid_clip_GradientClipByNorm` , :ref:`api_fluid_clip_GradientClipByValue` ). Default None, meaning there is no gradient clipping. name (str, optional): This parameter is used by developers to print debugging information. For details, please refer to :ref:`api_guide_Name`. Default is None. Examples: .. code-block:: python import paddle inp = paddle.rand([10,10], dtype="float32") linear = paddle.nn.Linear(10, 10) out = linear(inp) loss = paddle.mean(out) rmsprop = paddle.optimizer.RMSProp(learning_rate=0.1, parameters=linear.parameters(), weight_decay=0.01) out.backward() rmsprop.step() rmsprop.clear_grad() #Note that the learning_rate of linear_2 is 0.01. linear_1 = paddle.nn.Linear(10, 10) linear_2 = paddle.nn.Linear(10, 10) inp = paddle.uniform(shape=[10, 10], min=-0.1, max=0.1) out = linear_1(inp) out = linear_2(out) loss = paddle.mean(out) rmsprop = paddle.optimizer.RMSProp( learning_rate=0.1, parameters=[{ 'params': linear_1.parameters() }, { 'params': linear_2.parameters(), 'weight_decay': 0.001, 'learning_rate': 0.1 }], weight_decay=0.01) out.backward() rmsprop.step() rmsprop.clear_grad() """ _momentum_acc_str = "momentum" _mean_square_acc_str = "mean_square" _mean_grad_acc_str = "mean_grad" def __init__( self, learning_rate, rho=0.95, epsilon=1.0e-6, momentum=0.0, centered=False, parameters=None, weight_decay=None, grad_clip=None, name=None, ): if learning_rate is None: raise ValueError("learning_rate is not set.") if rho is None: raise ValueError("rho is not set.") if epsilon is None: raise ValueError("epsilon is not set.") if momentum is None: raise ValueError("momentum is not set.") if not 0.0 <= epsilon: raise ValueError("Invalid value of epsilon, expect epsilon >= 0.") if not 0.0 <= momentum: raise ValueError("Invalid value of momentum, expect momentum >= 0.") if not 0.0 <= rho: raise ValueError("Invalid value of rho, expect rho >= 0.") super().__init__( learning_rate=learning_rate, parameters=parameters, weight_decay=weight_decay, grad_clip=grad_clip, name=name, ) self.type = "rmsprop" self._rho = rho self._epsilon = epsilon self._momentum = momentum self._centered = centered self._multi_precision = False self._master_weights = {} self._default_dict = { 'rho': rho, 'epsilon': epsilon, 'momentum': momentum, 'centered': centered, } def _create_accumulators(self, block, parameters): if not isinstance(block, framework.Block): raise TypeError("block is not instance of framework.Block.") if isinstance(parameters, dict): parameters = parameters.get('params') for p in parameters: if p.name in self._already_create_accumulater: continue if self._multi_precision and self._is_dtype_fp16_or_bf16(p.dtype): master_p = self._create_master_weight(p) self._add_accumulator(self._momentum_acc_str, master_p) self._add_accumulator(self._mean_square_acc_str, master_p) self._add_accumulator(self._mean_grad_acc_str, master_p) self._already_create_accumulater.add(p.name) continue if ( self._is_dtype_fp16_or_bf16(p.dtype) and not self._multi_precision ): warnings.warn( "Accumulating with FP16 in optimizer can lead to poor accuracy or slow convergence." "Consider using multi_precision=True option of the Lars optimizer." ) self._add_accumulator(self._momentum_acc_str, p) self._add_accumulator(self._mean_square_acc_str, p) self._add_accumulator(self._mean_grad_acc_str, p) self._already_create_accumulater.add(p.name) def _append_optimize_op(self, block, param_and_grad): if not isinstance(block, framework.Block): raise TypeError("block is not instance of framework.Block.") if isinstance(param_and_grad, dict): param_and_grad = self._update_param_group(param_and_grad) momentum_acc = self._get_accumulator_master( self._momentum_acc_str, param_and_grad[0] ) mean_square_acc = self._get_accumulator_master( self._mean_square_acc_str, param_and_grad[0] ) mean_grad_acc = self._get_accumulator_master( self._mean_grad_acc_str, param_and_grad[0] ) find_master = self._multi_precision and self._is_dtype_fp16_or_bf16( param_and_grad[0].dtype ) master_weight = ( self._master_weights[param_and_grad[0].name] if find_master else None ) if in_dygraph_mode(): _C_ops.rmsprop_( param_and_grad[0], mean_square_acc, param_and_grad[1], momentum_acc, self._create_param_lr(param_and_grad), mean_grad_acc, master_weight, self._epsilon, self._rho, self._momentum, self._centered, find_master, ) return None else: inputs = { "Param": param_and_grad[0], "Grad": param_and_grad[1], "Moment": momentum_acc, "MeanSquare": mean_square_acc, "MeanGrad": mean_grad_acc, "LearningRate": self._create_param_lr(param_and_grad), } outputs = { "ParamOut": param_and_grad[0], "MomentOut": momentum_acc, "MeanSquareOut": mean_square_acc, "MeanGradOut": mean_grad_acc, } if find_master: inputs["MasterParam"] = master_weight outputs["MasterParamOut"] = master_weight rmsprop_op = block.append_op( type=self.type, inputs=inputs, outputs=outputs, attrs={ "epsilon": self._epsilon, "decay": self._rho, "momentum": self._momentum, "centered": self._centered, }, stop_gradient=True, ) return rmsprop_op def _update_param_group(self, parameters): self._epsilon = parameters.get('epsilon', self._default_dict['epsilon']) self._rho = parameters.get('rho', self._default_dict['rho']) self._momentum = parameters.get( 'momentum', self._default_dict['momentum'] ) self._centered = parameters.get( 'centered', self._default_dict['centered'] ) parameters = parameters.get('params') return parameters