| """ PyTorch impl of LaProp optimizer |
| |
| Code simplified from https://github.com/Z-T-WANG/LaProp-Optimizer, MIT License |
| |
| Paper: LaProp: Separating Momentum and Adaptivity in Adam, https://arxiv.org/abs/2002.04839 |
| |
| @article{ziyin2020laprop, |
| title={LaProp: a Better Way to Combine Momentum with Adaptive Gradient}, |
| author={Ziyin, Liu and Wang, Zhikang T and Ueda, Masahito}, |
| journal={arXiv preprint arXiv:2002.04839}, |
| year={2020} |
| } |
| |
| """ |
| from typing import Tuple |
|
|
| from torch.optim import Optimizer |
| import torch |
|
|
| from ._types import ParamsT |
|
|
|
|
| class LaProp(Optimizer): |
| """ LaProp Optimizer |
| |
| Paper: LaProp: Separating Momentum and Adaptivity in Adam, https://arxiv.org/abs/2002.04839 |
| """ |
| def __init__( |
| self, |
| params: ParamsT, |
| lr: float = 4e-4, |
| betas: Tuple[float, float] = (0.9, 0.999), |
| eps: float = 1e-15, |
| weight_decay: float = 0., |
| caution: bool = False, |
| ): |
| if not 0.0 <= lr: |
| raise ValueError("Invalid learning rate: {}".format(lr)) |
| if not 0.0 <= eps: |
| 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])) |
| defaults = dict( |
| lr=lr, |
| betas=betas, |
| eps=eps, |
| weight_decay=weight_decay, |
| caution=caution, |
| ) |
| super(LaProp, self).__init__(params, defaults) |
|
|
| @torch.no_grad() |
| 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: |
| with torch.enable_grad(): |
| loss = closure() |
|
|
| for group in self.param_groups: |
| for p in group['params']: |
| if p.grad is None: |
| continue |
| grad = p.grad |
| if grad.is_sparse: |
| raise RuntimeError('LaProp does not support sparse gradients') |
|
|
| state = self.state[p] |
|
|
| |
| if len(state) == 0: |
| state['step'] = 0 |
| |
| state['exp_avg'] = torch.zeros_like(p) |
| |
| state['exp_avg_lr_1'] = 0. |
| state['exp_avg_lr_2'] = 0. |
| |
| state['exp_avg_sq'] = torch.zeros_like(p) |
|
|
| exp_avg, exp_avg_sq = state['exp_avg'], state['exp_avg_sq'] |
| beta1, beta2 = group['betas'] |
|
|
| state['step'] += 1 |
| one_minus_beta2 = 1 - beta2 |
| one_minus_beta1 = 1 - beta1 |
|
|
| |
| exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=one_minus_beta2) |
|
|
| state['exp_avg_lr_1'] = state['exp_avg_lr_1'] * beta1 + one_minus_beta1 * group['lr'] |
| state['exp_avg_lr_2'] = state['exp_avg_lr_2'] * beta2 + one_minus_beta2 |
|
|
| |
| bias_correction1 = state['exp_avg_lr_1'] / group['lr'] if group['lr'] != 0. else 1. |
| bias_correction2 = state['exp_avg_lr_2'] |
| step_size = 1 / bias_correction1 |
|
|
| denom = exp_avg_sq.div(bias_correction2).sqrt_().add_(group['eps']) |
| step_of_this_grad = grad / denom |
| exp_avg.mul_(beta1).add_(step_of_this_grad, alpha=group['lr'] * one_minus_beta1) |
|
|
| if group['caution']: |
| |
| mask = (exp_avg * grad > 0).to(grad.dtype) |
| mask.div_(mask.mean().clamp_(min=1e-3)) |
| exp_avg = exp_avg * mask |
|
|
| p.add_(exp_avg, alpha=-step_size) |
|
|
| if group['weight_decay'] != 0: |
| p.add_(p, alpha=-(group['lr'] * group['weight_decay'])) |
|
|
| return loss |