# Copyright (c) 2016 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 __future__ import print_function import math from .. import unique_name __all__ = [ 'NoamDecay', 'PiecewiseDecay', 'NaturalExpDecay', 'ExponentialDecay', 'InverseTimeDecay', 'CosineDecay' ] class LearningRateDecay(object): """ Base class of learning rate decay """ def __init__(self, begin=0, step=1, dtype='float32'): self.step_num = begin self.step_size = step self.dtype = dtype def __call__(self): lr = self.step() if isinstance(lr, float): lr = self.create_lr_var(lr) self.step_num += self.step_size return lr def create_lr_var(self, lr): from .. import layers lr = layers.create_global_var( name=unique_name.generate("learning_rate"), shape=[1], value=float(lr), dtype=self.dtype, persistable=True) return lr def step(self): raise NotImplementedError() class PiecewiseDecay(LearningRateDecay): def __init__(self, boundaries, values, begin, step=1, dtype='float32'): super(PiecewiseDecay, self).__init__(begin, step, dtype) self.boundaries = boundaries self.values = values self.vars = [] for value in values: self.vars.append(self.create_lr_var(value)) def step(self): for i in range(len(self.boundaries)): if self.step_num < self.boundaries[i]: return self.vars[i] return self.vars[len(self.values) - 1] class NaturalExpDecay(LearningRateDecay): def __init__(self, learning_rate, decay_steps, decay_rate, staircase=False, begin=0, step=1, dtype='float32'): super(NaturalExpDecay, self).__init__(begin, step, dtype) self.learning_rate = learning_rate self.decay_steps = decay_steps self.decay_rate = decay_rate self.staircase = staircase def step(self): from .. import layers div_res = self.create_lr_var(self.step_num / self.decay_steps) if self.staircase: div_res = layers.floor(div_res) decayed_lr = self.learning_rate * layers.exp(-1 * self.decay_rate * div_res) return decayed_lr class ExponentialDecay(LearningRateDecay): def __init__(self, learning_rate, decay_steps, decay_rate, staircase=False, begin=0, step=1, dtype='float32'): super(ExponentialDecay, self).__init__(begin, step, dtype) self.learning_rate = learning_rate self.decay_steps = decay_steps self.decay_rate = decay_rate self.staircase = staircase def step(self): from .. import layers div_res = self.create_lr_var(self.step_num / self.decay_steps) if self.staircase: div_res = layers.floor(div_res) decayed_lr = self.learning_rate * (self.decay_rate**div_res) return decayed_lr class InverseTimeDecay(LearningRateDecay): def __init__(self, learning_rate, decay_steps, decay_rate, staircase=False, begin=0, step=1, dtype='float32'): super(InverseTimeDecay, self).__init__(begin, step, dtype) self.learning_rate = learning_rate self.decay_steps = decay_steps self.decay_rate = decay_rate self.staircase = staircase def step(self): from .. import layers div_res = self.create_lr_var(self.step_num / self.decay_steps) if self.staircase: div_res = layers.floor(div_res) decayed_lr = self.learning_rate / (1 + self.decay_rate * div_res) return decayed_lr class PolynomialDecay(LearningRateDecay): def __init__(self, learning_rate, decay_steps, end_learning_rate=0.0001, power=1.0, cycle=False, begin=0, step=1, dtype='float32'): super(PolynomialDecay, self).__init__(begin, step, dtype) self.learning_rate = learning_rate self.decay_steps = decay_steps self.end_learning_rate = end_learning_rate self.power = power self.cycle = cycle def step(self): from .. import layers tmp_step_num = self.step_num tmp_decay_steps = self.decay_steps if self.cycle: div_res = layers.ceil( self.create_lr_var(tmp_step_num / self.decay_steps)) zero_var = 0.0 one_var = 1.0 if float(tmp_step_num) == zero_var: div_res = one_var tmp_decay_steps = self.decay_steps * div_res else: tmp_step_num = self.create_lr_var(tmp_step_num if tmp_step_num < self.decay_steps else self.decay_steps) decayed_lr = (self.learning_rate - self.end_learning_rate) * \ ((1 - tmp_step_num / tmp_decay_steps) ** self.power) + self.end_learning_rate return decayed_lr class CosineDecay(LearningRateDecay): def __init__(self, learning_rate, step_each_epoch, epochs, begin=0, step=1, dtype='float32'): super(CosineDecay, self).__init__(begin, step, dtype) self.learning_rate = learning_rate self.step_each_epoch = step_each_epoch self.epochs = epochs def step(self): from .. import layers cur_epoch = layers.floor( self.create_lr_var(self.step_num / self.step_each_epoch)) decayed_lr = self.learning_rate * 0.5 * ( layers.cos(cur_epoch * math.pi / self.epochs) + 1) return decayed_lr class NoamDecay(LearningRateDecay): def __init__(self, d_model, warmup_steps, begin=1, step=1, dtype='float32'): super(NoamDecay, self).__init__(begin, step, dtype) self.d_model = d_model self.warmup_steps = warmup_steps def step(self): from .. import layers a = self.create_lr_var(global_step**-0.5) b = self.create_lr_var((warmup_steps**-1.5) * global_step) lr_value = (d_model**-0.5) * layers.elementwise_min(a, b) return lr_value