| |
| |
|
|
| 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] |
|
|
| |
| if len(state) == 0: |
| state["step"] = 0 |
| |
| state["exp_avg"] = torch.zeros_like( |
| p, memory_format=torch.preserve_format |
| ) |
| |
| 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 |
|
|
| |
| |
| exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1) |
| |
| exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2) |
|
|
| |
| if self.debias: |
| bias_correction = math.sqrt(1 - beta2 ** state["step"]) |
| bias_correction /= 1 - beta1 ** state["step"] |
| else: |
| bias_correction = 1 |
|
|
| |
| 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 |