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| import math |
| from typing import List |
|
|
| import torch |
| from torch import Tensor |
| from torch.optim.optimizer import Optimizer |
|
|
|
|
| class MultiTensorApply(object): |
| available = False |
| warned = False |
|
|
| def __init__(self, chunk_size): |
| try: |
| MultiTensorApply.available = True |
| self.chunk_size = chunk_size |
| except ImportError as err: |
| MultiTensorApply.available = False |
| MultiTensorApply.import_err = err |
|
|
| def __call__(self, op, noop_flag_buffer, tensor_lists, *args): |
| return op(self.chunk_size, noop_flag_buffer, tensor_lists, *args) |
|
|
|
|
| class Adan(Optimizer): |
| """ |
| Implements a pytorch variant of Adan |
| Adan was proposed in |
| Adan: Adaptive Nesterov Momentum Algorithm for |
| Faster Optimizing Deep Models[J].arXiv preprint arXiv:2208.06677, 2022. |
| https://arxiv.org/abs/2208.06677 |
| Arguments: |
| params (iterable): iterable of parameters to optimize or |
| dicts defining parameter groups. |
| lr (float, optional): learning rate. (default: 1e-3) |
| betas (Tuple[float, float, flot], optional): coefficients used for |
| first- and second-order moments. (default: (0.98, 0.92, 0.99)) |
| eps (float, optional): term added to the denominator to improve |
| numerical stability. (default: 1e-8) |
| weight_decay (float, optional): decoupled weight decay |
| (L2 penalty) (default: 0) |
| max_grad_norm (float, optional): value used to clip |
| global grad norm (default: 0.0 no clip) |
| no_prox (bool): how to perform the decoupled weight decay |
| (default: False) |
| foreach (bool): if True would use torch._foreach implementation. |
| It's faster but uses slightly more memory. (default: True) |
| fused (bool, optional): whether fused implementation is used. |
| (default: False) |
| """ |
|
|
| def __init__( |
| self, |
| params, |
| lr=1e-3, |
| betas=(0.98, 0.92, 0.99), |
| eps=1e-8, |
| weight_decay=0.0, |
| max_grad_norm=0.0, |
| no_prox=False, |
| foreach: bool = True, |
| fused: bool = False, |
| ): |
| if not 0.0 <= max_grad_norm: |
| raise ValueError('Invalid Max grad norm: {}'.format(max_grad_norm)) |
| 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])) |
| if not 0.0 <= betas[2] < 1.0: |
| raise ValueError('Invalid beta parameter at index 2: {}'.format(betas[2])) |
| defaults = dict( |
| lr=lr, |
| betas=betas, |
| eps=eps, |
| weight_decay=weight_decay, |
| max_grad_norm=max_grad_norm, |
| no_prox=no_prox, |
| foreach=foreach, |
| fused=fused, |
| ) |
| super().__init__(params, defaults) |
|
|
| def __setstate__(self, state): |
| super(Adan, self).__setstate__(state) |
| for group in self.param_groups: |
| group.setdefault('no_prox', False) |
|
|
| @torch.no_grad() |
| def restart_opt(self): |
| for group in self.param_groups: |
| group['step'] = 0 |
| for p in group['params']: |
| if p.requires_grad: |
| state = self.state[p] |
| |
|
|
| |
| state['exp_avg'] = torch.zeros_like(p) |
| |
| state['exp_avg_sq'] = torch.zeros_like(p) |
| |
| state['exp_avg_diff'] = torch.zeros_like(p) |
|
|
| @torch.no_grad() |
| def step(self, closure=None): |
| """Performs a single optimization step.""" |
|
|
| loss = None |
| if closure is not None: |
| with torch.enable_grad(): |
| loss = closure() |
|
|
| if self.defaults['max_grad_norm'] > 0: |
| device = self.param_groups[0]['params'][0].device |
| global_grad_norm = torch.zeros(1, device=device) |
|
|
| max_grad_norm = torch.tensor(self.defaults['max_grad_norm'], device=device) |
| for group in self.param_groups: |
|
|
| for p in group['params']: |
| if p.grad is not None: |
| grad = p.grad |
| global_grad_norm.add_(grad.pow(2).sum()) |
|
|
| global_grad_norm = torch.sqrt(global_grad_norm) |
|
|
| clip_global_grad_norm = torch.clamp(max_grad_norm / (global_grad_norm + group['eps']), max=1.0).item() |
| else: |
| clip_global_grad_norm = 1.0 |
|
|
| for group in self.param_groups: |
| params_with_grad = [] |
| grads = [] |
| exp_avgs = [] |
| exp_avg_sqs = [] |
| exp_avg_diffs = [] |
| neg_pre_grads = [] |
|
|
| beta1, beta2, beta3 = group['betas'] |
| |
| |
| |
| if 'step' in group: |
| group['step'] += 1 |
| else: |
| group['step'] = 1 |
|
|
| bias_correction1 = 1.0 - beta1 ** group['step'] |
| bias_correction2 = 1.0 - beta2 ** group['step'] |
| bias_correction3 = 1.0 - beta3 ** group['step'] |
|
|
| for p in group['params']: |
| if p.grad is None: |
| continue |
| params_with_grad.append(p) |
| grads.append(p.grad) |
|
|
| state = self.state[p] |
| if len(state) == 0: |
| state['exp_avg'] = torch.zeros_like(p) |
| state['exp_avg_sq'] = torch.zeros_like(p) |
| state['exp_avg_diff'] = torch.zeros_like(p) |
|
|
| if 'neg_pre_grad' not in state or group['step'] == 1: |
| state['neg_pre_grad'] = p.grad.clone().mul_(-clip_global_grad_norm) |
|
|
| exp_avgs.append(state['exp_avg']) |
| exp_avg_sqs.append(state['exp_avg_sq']) |
| exp_avg_diffs.append(state['exp_avg_diff']) |
| neg_pre_grads.append(state['neg_pre_grad']) |
|
|
| kwargs = dict( |
| params=params_with_grad, |
| grads=grads, |
| exp_avgs=exp_avgs, |
| exp_avg_sqs=exp_avg_sqs, |
| exp_avg_diffs=exp_avg_diffs, |
| neg_pre_grads=neg_pre_grads, |
| beta1=beta1, |
| beta2=beta2, |
| beta3=beta3, |
| bias_correction1=bias_correction1, |
| bias_correction2=bias_correction2, |
| bias_correction3_sqrt=math.sqrt(bias_correction3), |
| lr=group['lr'], |
| weight_decay=group['weight_decay'], |
| eps=group['eps'], |
| no_prox=group['no_prox'], |
| clip_global_grad_norm=clip_global_grad_norm, |
| ) |
|
|
| if group['foreach']: |
| if group['fused']: |
| if torch.cuda.is_available(): |
| _fused_adan_multi_tensor(**kwargs) |
| else: |
| raise ValueError('Fused Adan does not support CPU') |
| else: |
| _multi_tensor_adan(**kwargs) |
| elif group['fused']: |
| if torch.cuda.is_available(): |
| _fused_adan_single_tensor(**kwargs) |
| else: |
| raise ValueError('Fused Adan does not support CPU') |
| else: |
| _single_tensor_adan(**kwargs) |
|
|
| return loss |
|
|
|
|
| def _single_tensor_adan( |
| params: List[Tensor], |
| grads: List[Tensor], |
| exp_avgs: List[Tensor], |
| exp_avg_sqs: List[Tensor], |
| exp_avg_diffs: List[Tensor], |
| neg_pre_grads: List[Tensor], |
| *, |
| beta1: float, |
| beta2: float, |
| beta3: float, |
| bias_correction1: float, |
| bias_correction2: float, |
| bias_correction3_sqrt: float, |
| lr: float, |
| weight_decay: float, |
| eps: float, |
| no_prox: bool, |
| clip_global_grad_norm: Tensor, |
| ): |
| for i, param in enumerate(params): |
| grad = grads[i] |
| exp_avg = exp_avgs[i] |
| exp_avg_sq = exp_avg_sqs[i] |
| exp_avg_diff = exp_avg_diffs[i] |
| neg_grad_or_diff = neg_pre_grads[i] |
|
|
| grad.mul_(clip_global_grad_norm) |
|
|
| |
| |
| neg_grad_or_diff.add_(grad) |
|
|
| exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1) |
| exp_avg_diff.mul_(beta2).add_(neg_grad_or_diff, alpha=1 - beta2) |
|
|
| neg_grad_or_diff.mul_(beta2).add_(grad) |
| exp_avg_sq.mul_(beta3).addcmul_(neg_grad_or_diff, neg_grad_or_diff, value=1 - beta3) |
|
|
| denom = ((exp_avg_sq).sqrt() / bias_correction3_sqrt).add_(eps) |
| step_size_diff = lr * beta2 / bias_correction2 |
| step_size = lr / bias_correction1 |
|
|
| if no_prox: |
| param.mul_(1 - lr * weight_decay) |
| param.addcdiv_(exp_avg, denom, value=-step_size) |
| param.addcdiv_(exp_avg_diff, denom, value=-step_size_diff) |
| else: |
| param.addcdiv_(exp_avg, denom, value=-step_size) |
| param.addcdiv_(exp_avg_diff, denom, value=-step_size_diff) |
| param.div_(1 + lr * weight_decay) |
|
|
| neg_grad_or_diff.zero_().add_(grad, alpha=-1.0) |
|
|
|
|
| def _multi_tensor_adan( |
| params: List[Tensor], |
| grads: List[Tensor], |
| exp_avgs: List[Tensor], |
| exp_avg_sqs: List[Tensor], |
| exp_avg_diffs: List[Tensor], |
| neg_pre_grads: List[Tensor], |
| *, |
| beta1: float, |
| beta2: float, |
| beta3: float, |
| bias_correction1: float, |
| bias_correction2: float, |
| bias_correction3_sqrt: float, |
| lr: float, |
| weight_decay: float, |
| eps: float, |
| no_prox: bool, |
| clip_global_grad_norm: Tensor, |
| ): |
| if len(params) == 0: |
| return |
|
|
| torch._foreach_mul_(grads, clip_global_grad_norm) |
|
|
| |
| |
| torch._foreach_add_(neg_pre_grads, grads) |
|
|
| torch._foreach_mul_(exp_avgs, beta1) |
| torch._foreach_add_(exp_avgs, grads, alpha=1 - beta1) |
|
|
| torch._foreach_mul_(exp_avg_diffs, beta2) |
| torch._foreach_add_(exp_avg_diffs, neg_pre_grads, alpha=1 - beta2) |
|
|
| torch._foreach_mul_(neg_pre_grads, beta2) |
| torch._foreach_add_(neg_pre_grads, grads) |
| torch._foreach_mul_(exp_avg_sqs, beta3) |
| torch._foreach_addcmul_(exp_avg_sqs, neg_pre_grads, neg_pre_grads, value=1 - beta3) |
|
|
| denom = torch._foreach_sqrt(exp_avg_sqs) |
| torch._foreach_div_(denom, bias_correction3_sqrt) |
| torch._foreach_add_(denom, eps) |
|
|
| step_size_diff = lr * beta2 / bias_correction2 |
| step_size = lr / bias_correction1 |
|
|
| if no_prox: |
| torch._foreach_mul_(params, 1 - lr * weight_decay) |
| torch._foreach_addcdiv_(params, exp_avgs, denom, value=-step_size) |
| torch._foreach_addcdiv_(params, exp_avg_diffs, denom, value=-step_size_diff) |
| else: |
| torch._foreach_addcdiv_(params, exp_avgs, denom, value=-step_size) |
| torch._foreach_addcdiv_(params, exp_avg_diffs, denom, value=-step_size_diff) |
| torch._foreach_div_(params, 1 + lr * weight_decay) |
| torch._foreach_zero_(neg_pre_grads) |
| torch._foreach_add_(neg_pre_grads, grads, alpha=-1.0) |
|
|
|
|
| def _fused_adan_multi_tensor( |
| params: List[Tensor], |
| grads: List[Tensor], |
| exp_avgs: List[Tensor], |
| exp_avg_sqs: List[Tensor], |
| exp_avg_diffs: List[Tensor], |
| neg_pre_grads: List[Tensor], |
| *, |
| beta1: float, |
| beta2: float, |
| beta3: float, |
| bias_correction1: float, |
| bias_correction2: float, |
| bias_correction3_sqrt: float, |
| lr: float, |
| weight_decay: float, |
| eps: float, |
| no_prox: bool, |
| clip_global_grad_norm: Tensor, |
| ): |
| import fused_adan |
|
|
| multi_tensor_applier = MultiTensorApply(2048 * 32) |
| _dummy_overflow_buf = torch.cuda.IntTensor([0]) |
| multi_tensor_applier( |
| fused_adan.adan_multi_tensor, |
| _dummy_overflow_buf, |
| [params, grads, exp_avgs, exp_avg_sqs, exp_avg_diffs, neg_pre_grads], |
| beta1, |
| beta2, |
| beta3, |
| bias_correction1, |
| bias_correction2, |
| bias_correction3_sqrt, |
| lr, |
| weight_decay, |
| eps, |
| no_prox, |
| clip_global_grad_norm, |
| ) |
| torch._foreach_zero_(neg_pre_grads) |
| torch._foreach_add_(neg_pre_grads, grads, alpha=-1.0) |
|
|
|
|
| def _fused_adan_single_tensor( |
| params: List[Tensor], |
| grads: List[Tensor], |
| exp_avgs: List[Tensor], |
| exp_avg_sqs: List[Tensor], |
| exp_avg_diffs: List[Tensor], |
| neg_pre_grads: List[Tensor], |
| *, |
| beta1: float, |
| beta2: float, |
| beta3: float, |
| bias_correction1: float, |
| bias_correction2: float, |
| bias_correction3_sqrt: float, |
| lr: float, |
| weight_decay: float, |
| eps: float, |
| no_prox: bool, |
| clip_global_grad_norm: Tensor, |
| ): |
| for i, param in enumerate(params): |
| p_data_fp32 = param.data.float() |
| out_p = param.data |
| grad = grads[i] |
| exp_avg = exp_avgs[i] |
| exp_avg_sq = exp_avg_sqs[i] |
| exp_avg_diff = exp_avg_diffs[i] |
| neg_grad = neg_pre_grads[i] |
| with torch.cuda.device(param.device): |
| import fused_adan |
|
|
| fused_adan.adan_single_tensor( |
| p_data_fp32, |
| out_p, |
| grad, |
| exp_avg, |
| exp_avg_sq, |
| exp_avg_diff, |
| neg_grad, |
| beta1, |
| beta2, |
| beta3, |
| bias_correction1, |
| bias_correction2, |
| bias_correction3_sqrt, |
| lr, |
| weight_decay, |
| eps, |
| no_prox, |
| clip_global_grad_norm, |
| ) |
| neg_grad.zero_().add_(grad, alpha=-1.0) |
|
|