# 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. from .optimizer import Optimizer from ..fluid import core from ..fluid import framework from ..fluid.framework import Variable __all__ = ["Adam"] class Adam(Optimizer): """ The Adam optimizer uses an optimization described at the end of section 2 of `Adam paper `_ , it can dynamically adjusts the learning rate of each parameter using the 1st moment estimates and the 2nd moment estimates of the gradient. The parameter ``param_out`` update rule with gradient ``grad``: .. math:: t & = t + 1 moment\_1\_out & = {\\beta}_1 * moment\_1 + (1 - {\\beta}_1) * grad moment\_2\_out & = {\\beta}_2 * moment\_2 + (1 - {\\beta}_2) * grad * grad learning\_rate & = learning\_rate * \\ \\frac{\sqrt{1 - {\\beta}_2^t}}{1 - {\\beta}_1^t} param\_out & = param - learning\_rate * \\frac{moment\_1}{\sqrt{moment\_2} + \epsilon} Related paper: `Adam: A Method for Stochastic Optimization `_ Args: learning_rate (float|LearningRateDecay, optional): The learning rate used to update ``Parameter``. It can be a float value or a LearningRateDecay. The default value is 0.001. beta1 (float|Tensor, optional): The exponential decay rate for the 1st moment estimates. It should be a float number or a Tensor with shape [1] and data type as float32. The default value is 0.9. beta2 (float|Tensor, optional): The exponential decay rate for the 2nd moment estimates. It should be a float number or a Tensor with shape [1] and data type as float32. The default value is 0.999. epsilon (float, optional): A small float value for numerical stability. The default value is 1e-08. parameters (list, optional): List of ``Tensor`` names to update to minimize ``loss``. \ This parameter is required in dygraph mode. \ The default value is None in static 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): Normally there is no need for user to set this property. For more information, please refer to :ref:`api_guide_Name`. The default value is None. lazy_mode (bool, optional): The official Adam algorithm has two moving-average accumulators. The accumulators are updated at every step. Every element of the two moving-average is updated in both dense mode and sparse mode. If the size of parameter is very large, then the update may be very slow. The lazy mode only update the element that has gradient in current mini-batch, so it will be much more faster. But this mode has different semantics with the original Adam algorithm and may lead to different result. The default value is False. Examples: .. code-block:: python import paddle import numpy as np paddle.disable_static() inp = np.random.uniform(-0.1, 0.1, [10, 10]).astype("float32") linear = paddle.nn.Linear(10, 10) inp = paddle.to_tensor(inp) out = linear(inp) loss = paddle.mean(out) adam = paddle.optimizer.Adam(learning_rate=0.1, parameters=linear.parameters()) out.backward() adam.step() adam.clear_grad() .. code-block:: python # Adam with beta1/beta2 as Tensor and weight_decay as float import paddle import numpy as np paddle.disable_static() inp = np.random.uniform(-0.1, 0.1, [10, 10]).astype("float32") linear = paddle.nn.Linear(10, 10) inp = paddle.to_tensor(inp) out = linear(inp) loss = paddle.mean(out) beta1 = paddle.to_tensor([0.9], dtype="float32") beta2 = paddle.to_tensor([0.99], dtype="float32") adam = paddle.optimizer.Adam(learning_rate=0.1, parameters=linear.parameters(), beta1=beta1, beta2=beta2, weight_decay=0.01) out.backward() adam.step() adam.clear_grad() """ _moment1_acc_str = "moment1" _moment2_acc_str = "moment2" _beta1_pow_acc_str = "beta1_pow_acc" _beta2_pow_acc_str = "beta2_pow_acc" def __init__(self, learning_rate=0.001, beta1=0.9, beta2=0.999, epsilon=1e-8, parameters=None, weight_decay=None, grad_clip=None, name=None, lazy_mode=False): assert learning_rate is not None assert beta1 is not None assert beta2 is not None assert epsilon is not None super(Adam, self).__init__( learning_rate=learning_rate, parameters=parameters, weight_decay=weight_decay, grad_clip=grad_clip, name=name) self.type = "adam" self._beta1 = beta1 self._beta2 = beta2 self._epsilon = epsilon self._lazy_mode = lazy_mode def _create_accumulators(self, block, parameters): assert isinstance(block, framework.Block) # Create accumulator tensors for first and second moments for p in parameters: self._add_accumulator(self._moment1_acc_str, p) self._add_accumulator(self._moment2_acc_str, p) self._add_accumulator( name=self._beta1_pow_acc_str, param=p, fill_value=0.9 if isinstance(self._beta1, Variable) \ else self._beta1, shape=[1], type=core.VarDesc.VarType.LOD_TENSOR, device='cpu') self._add_accumulator( name=self._beta2_pow_acc_str, param=p, fill_value=0.999 if isinstance(self._beta2, Variable) \ else self._beta2, shape=[1], type=core.VarDesc.VarType.LOD_TENSOR, device='cpu') def _append_optimize_op(self, block, param_and_grad): assert isinstance(block, framework.Block) moment1 = self._get_accumulator(self._moment1_acc_str, param_and_grad[0]) moment2 = self._get_accumulator(self._moment2_acc_str, param_and_grad[0]) beta1_pow_acc = self._get_accumulator(self._beta1_pow_acc_str, param_and_grad[0]) beta2_pow_acc = self._get_accumulator(self._beta2_pow_acc_str, param_and_grad[0]) lr = self._create_param_lr(param_and_grad) # create the adam optimize op if framework.in_dygraph_mode(): _beta1 = self._beta1 if not isinstance( self._beta1, Variable) else self._beta1.numpy().item(0) _beta2 = self._beta2 if not isinstance( self._beta2, Variable) else self._beta2.numpy().item(0) _, _, _, _, _ = core.ops.adam( param_and_grad[0], param_and_grad[1], lr, moment1, moment2, beta1_pow_acc, beta2_pow_acc, param_and_grad[0], moment1, moment2, beta1_pow_acc, beta2_pow_acc, 'epsilon', self._epsilon, 'lazy_mode', self._lazy_mode, 'min_row_size_to_use_multithread', 1000, 'beta1', _beta1, 'beta2', _beta2) return None inputs = { "Param": [param_and_grad[0]], "Grad": [param_and_grad[1]], "LearningRate": [lr], "Moment1": [moment1], "Moment2": [moment2], "Beta1Pow": [beta1_pow_acc], "Beta2Pow": [beta2_pow_acc] } outputs = { "ParamOut": [param_and_grad[0]], "Moment1Out": [moment1], "Moment2Out": [moment2], "Beta1PowOut": [beta1_pow_acc], "Beta2PowOut": [beta2_pow_acc], } attrs = { "epsilon": self._epsilon, "lazy_mode": self._lazy_mode, "min_row_size_to_use_multithread": 1000 } if isinstance(self._beta1, Variable): inputs['Beta1Tensor'] = self._beta1 else: attrs['beta1'] = self._beta1 if isinstance(self._beta2, Variable): inputs['Beta2Tensor'] = self._beta2 else: attrs['beta2'] = self._beta2 adam_op = block.append_op( type=self.type, inputs=inputs, outputs=outputs, attrs=attrs, stop_gradient=True) return adam_op