optimization_openai.py

# coding=utf-8
# Copyright 2018 The Open AI Team Authors and The HuggingFace Inc. team.
#
# 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.
"""PyTorch optimization for OpenAI GPT model."""

import math
import torch
from torch.optim import Optimizer
from torch.optim.optimizer import required
from torch.nn.utils import clip_grad_norm_
import logging

logger = logging.getLogger(__name__)

def warmup_cosine(x, warmup=0.002):
    if x < warmup:
        return x/warmup
    x_ = (x - warmup) / (1 - warmup)  # progress after warmup
    return 0.5 * (1. + math.cos(math.pi * x_))

def warmup_constant(x, warmup=0.002):
    """ Linearly increases learning rate over `warmup`*`t_total` (as provided to OpenAIAdam) training steps.
        Learning rate is 1. afterwards. """
    if x < warmup:
        return x/warmup
    return 1.0

def warmup_linear(x, warmup=0.002):
    """ Specifies a triangular learning rate schedule where peak is reached at `warmup`*`t_total`-th (as provided to OpenAIAdam) training step.
        After `t_total`-th training step, learning rate is zero. """
    if x < warmup:
        return x/warmup
    return max((x-1.)/(warmup-1.), 0)

SCHEDULES = {
    'warmup_cosine':warmup_cosine,
    'warmup_constant':warmup_constant,
    'warmup_linear':warmup_linear,
}


class OpenAIAdam(Optimizer):
    """Implements Open AI version of Adam algorithm with weight decay fix.
    """
    def __init__(self, params, lr=required, schedule='warmup_linear', warmup=-1, t_total=-1,
                 b1=0.9, b2=0.999, e=1e-8, weight_decay=0,
                 vector_l2=False, max_grad_norm=-1, **kwargs):
        if lr is not required and lr < 0.0:
            raise ValueError("Invalid learning rate: {} - should be >= 0.0".format(lr))
        if schedule not in SCHEDULES:
            raise ValueError("Invalid schedule parameter: {}".format(schedule))
        if not 0.0 <= warmup < 1.0 and not warmup == -1:
            raise ValueError("Invalid warmup: {} - should be in [0.0, 1.0[ or -1".format(warmup))
        if not 0.0 <= b1 < 1.0:
            raise ValueError("Invalid b1 parameter: {}".format(b1))
        if not 0.0 <= b2 < 1.0:
            raise ValueError("Invalid b2 parameter: {}".format(b2))
        if not e >= 0.0:
            raise ValueError("Invalid epsilon value: {}".format(e))
        defaults = dict(lr=lr, schedule=schedule, warmup=warmup, t_total=t_total,
                        b1=b1, b2=b2, e=e, weight_decay=weight_decay, vector_l2=vector_l2,
                        max_grad_norm=max_grad_norm)
        super(OpenAIAdam, self).__init__(params, defaults)

    def get_lr(self):
        lr = []
        for group in self.param_groups:
            for p in group['params']:
                state = self.state[p]
                if len(state) == 0:
                    return [0]
                if group['t_total'] != -1:
                    schedule_fct = SCHEDULES[group['schedule']]
                    lr_scheduled = group['lr'] * schedule_fct(state['step']/group['t_total'], group['warmup'])
                else:
                    lr_scheduled = group['lr']
                lr.append(lr_scheduled)
        return lr

    def step(self, closure=None):
        """Performs a single optimization step.

        Arguments:
            closure (callable, optional): A closure that reevaluates the model
                and returns the loss.
        """
        loss = None
        if closure is not None:
            loss = closure()

        warned_for_t_total = False

        for group in self.param_groups:
            for p in group['params']:
                if p.grad is None:
                    continue
                grad = p.grad.data
                if grad.is_sparse:
                    raise RuntimeError('Adam does not support sparse gradients, please consider SparseAdam instead')

                state = self.state[p]

                # State initialization
                if len(state) == 0:
                    state['step'] = 0
                    # Exponential moving average of gradient values
                    state['exp_avg'] = torch.zeros_like(p.data)
                    # Exponential moving average of squared gradient values
                    state['exp_avg_sq'] = torch.zeros_like(p.data)

                exp_avg, exp_avg_sq = state['exp_avg'], state['exp_avg_sq']
                beta1, beta2 = group['b1'], group['b2']

                state['step'] += 1

                # Add grad clipping
                if group['max_grad_norm'] > 0:
                    clip_grad_norm_(p, group['max_grad_norm'])

                # Decay the first and second moment running average coefficient
                exp_avg.mul_(beta1).add_(1 - beta1, grad)
                exp_avg_sq.mul_(beta2).addcmul_(1 - beta2, grad, grad)
                denom = exp_avg_sq.sqrt().add_(group['e'])

                bias_correction1 = 1 - beta1 ** state['step']
                bias_correction2 = 1 - beta2 ** state['step']

                if group['t_total'] != -1:
                    schedule_fct = SCHEDULES[group['schedule']]
                    progress = state['step']/group['t_total']
                    lr_scheduled = group['lr'] * schedule_fct(progress, group['warmup'])
                    # warning for exceeding t_total (only active with warmup_linear
                    if group['schedule'] == "warmup_linear" and progress > 1. and not warned_for_t_total:
                        logger.warning(
                            "Training beyond specified 't_total' steps with schedule '{}'. Learning rate set to {}. "
                            "Please set 't_total' of {} correctly.".format(group['schedule'], lr_scheduled, self.__class__.__name__))
                        warned_for_t_total = True
                    # end warning
                else:
                    lr_scheduled = group['lr']

                step_size = lr_scheduled * math.sqrt(bias_correction2) / bias_correction1

                p.data.addcdiv_(-step_size, exp_avg, denom)

                # Add weight decay at the end (fixed version)
                if (len(p.size()) > 1 or group['vector_l2']) and group['weight_decay'] > 0:
                    p.data.add_(-lr_scheduled * group['weight_decay'], p.data)

        return loss