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- """ Nvidia NovoGrad Optimizer.
- Original impl by Nvidia from Jasper example:
- - https://github.com/NVIDIA/DeepLearningExamples/blob/master/PyTorch/SpeechRecognition/Jasper
- Paper: `Stochastic Gradient Methods with Layer-wise Adaptive Moments for Training of Deep Networks`
- - https://arxiv.org/abs/1905.11286
- """
- import torch
- from torch.optim.optimizer import Optimizer
- import math
- class NvNovoGrad(Optimizer):
- """
- Implements Novograd algorithm.
- Args:
- params (iterable): iterable of parameters to optimize or dicts defining
- parameter groups
- lr (float, optional): learning rate (default: 1e-3)
- betas (Tuple[float, float], optional): coefficients used for computing
- running averages of gradient and its square (default: (0.95, 0.98))
- eps (float, optional): term added to the denominator to improve
- numerical stability (default: 1e-8)
- weight_decay (float, optional): weight decay (L2 penalty) (default: 0)
- grad_averaging: gradient averaging
- amsgrad (boolean, optional): whether to use the AMSGrad variant of this
- algorithm from the paper `On the Convergence of Adam and Beyond`_
- (default: False)
- """
- def __init__(
- self,
- params,
- lr=1e-3,
- betas=(0.95, 0.98),
- eps=1e-8,
- weight_decay=0,
- grad_averaging=False,
- amsgrad=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,
- grad_averaging=grad_averaging,
- amsgrad=amsgrad,
- )
- super(NvNovoGrad, self).__init__(params, defaults)
- def __setstate__(self, state):
- super(NvNovoGrad, self).__setstate__(state)
- for group in self.param_groups:
- group.setdefault('amsgrad', False)
- @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('Sparse gradients are not supported.')
- amsgrad = group['amsgrad']
- 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)
- # Exponential moving average of squared gradient values
- state['exp_avg_sq'] = torch.zeros([]).to(state['exp_avg'].device)
- if amsgrad:
- # Maintains max of all exp. moving avg. of sq. grad. values
- state['max_exp_avg_sq'] = torch.zeros([]).to(state['exp_avg'].device)
- exp_avg, exp_avg_sq = state['exp_avg'], state['exp_avg_sq']
- if amsgrad:
- max_exp_avg_sq = state['max_exp_avg_sq']
- beta1, beta2 = group['betas']
- state['step'] += 1
- norm = torch.sum(torch.pow(grad, 2))
- if exp_avg_sq == 0:
- exp_avg_sq.copy_(norm)
- else:
- exp_avg_sq.mul_(beta2).add_(norm, alpha=1 - beta2)
- if amsgrad:
- # Maintains the maximum of all 2nd moment running avg. till now
- torch.max(max_exp_avg_sq, exp_avg_sq, out=max_exp_avg_sq)
- # Use the max. for normalizing running avg. of gradient
- denom = max_exp_avg_sq.sqrt().add_(group['eps'])
- else:
- denom = exp_avg_sq.sqrt().add_(group['eps'])
- grad.div_(denom)
- if group['weight_decay'] != 0:
- grad.add_(p, alpha=group['weight_decay'])
- if group['grad_averaging']:
- grad.mul_(1 - beta1)
- exp_avg.mul_(beta1).add_(grad)
- p.add_(exp_avg, alpha=-group['lr'])
- return loss
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