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| #!/usr/bin/env python | |
| # -*- coding: utf-8 -*- | |
| import math | |
| import torch | |
| from torch.optim.optimizer import Optimizer | |
| class Lamb(Optimizer): | |
| r"""Implements Lamb algorithm. | |
| It has been proposed in `Large Batch Optimization for Deep Learning: | |
| Training BERT in 76 minutes` | |
| https://arxiv.org/abs/1904.00962 | |
| Note: | |
| Reference code: https://github.com/cybertronai/pytorch-lamb | |
| """ | |
| def __init__( | |
| self, | |
| params, | |
| lr: float = 1e-3, | |
| betas = (0.9, 0.999), | |
| eps: float = 1e-6, | |
| weight_decay: float = 0, | |
| clamp_value: float = 10, | |
| adam: bool = False, | |
| debias: bool = False, | |
| ) -> None: | |
| if lr <= 0.0: | |
| raise ValueError("Invalid learning rate: {}".format(lr)) | |
| if eps < 0.0: | |
| raise ValueError("Invalid epsilon value: {}".format(eps)) | |
| if not 0.0 <= betas[0] < 1.0: | |
| raise ValueError( | |
| "Invalid beta parameter at index 0: {}".format(betas[0]) | |
| ) | |
| if not 0.0 <= betas[1] < 1.0: | |
| raise ValueError( | |
| "Invalid beta parameter at index 1: {}".format(betas[1]) | |
| ) | |
| if weight_decay < 0: | |
| raise ValueError( | |
| "Invalid weight_decay value: {}".format(weight_decay) | |
| ) | |
| if clamp_value < 0.0: | |
| raise ValueError("Invalid clamp value: {}".format(clamp_value)) | |
| defaults = dict(lr=lr, betas=betas, eps=eps, weight_decay=weight_decay) | |
| self.clamp_value = clamp_value | |
| self.adam = adam | |
| self.debias = debias | |
| super(Lamb, self).__init__(params, defaults) | |
| def step(self, closure = None): | |
| r"""Performs a single optimization step. | |
| Arguments: | |
| closure: A closure that reevaluates the model and returns the loss. | |
| """ | |
| loss = None | |
| if closure is not None: | |
| loss = closure() | |
| 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: | |
| msg = ( | |
| "Lamb does not support sparse gradients, " | |
| "please consider SparseAdam instead" | |
| ) | |
| raise RuntimeError(msg) | |
| 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, memory_format=torch.preserve_format | |
| ) | |
| # Exponential moving average of squared gradient values | |
| state["exp_avg_sq"] = torch.zeros_like( | |
| p, memory_format=torch.preserve_format | |
| ) | |
| exp_avg, exp_avg_sq = state["exp_avg"], state["exp_avg_sq"] | |
| beta1, beta2 = group["betas"] | |
| state["step"] += 1 | |
| # Decay the first and second moment running average coefficient | |
| # m_t | |
| exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1) | |
| # v_t | |
| exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2) | |
| # Paper v3 does not use debiasing. | |
| if self.debias: | |
| bias_correction = math.sqrt(1 - beta2 ** state["step"]) | |
| bias_correction /= 1 - beta1 ** state["step"] | |
| else: | |
| bias_correction = 1 | |
| # Apply bias to lr to avoid broadcast. | |
| step_size = group["lr"] * bias_correction | |
| weight_norm = torch.norm(p.data).clamp(0, self.clamp_value) | |
| adam_step = exp_avg / exp_avg_sq.sqrt().add(group["eps"]) | |
| if group["weight_decay"] != 0: | |
| adam_step.add_(p.data, alpha=group["weight_decay"]) | |
| adam_norm = torch.norm(adam_step) | |
| if weight_norm == 0 or adam_norm == 0: | |
| trust_ratio = 1 | |
| else: | |
| trust_ratio = weight_norm / adam_norm | |
| state["weight_norm"] = weight_norm | |
| state["adam_norm"] = adam_norm | |
| state["trust_ratio"] = trust_ratio | |
| if self.adam: | |
| trust_ratio = 1 | |
| p.data.add_(adam_step, alpha=-step_size * trust_ratio) | |
| return loss |