| |
| |
|
|
| import math |
| import torch |
| from torch.optim.optimizer import Optimizer |
|
|
|
|
| class AdamP(Optimizer): |
| r"""Implements AdamP algorithm. |
| |
| It has been proposed in `Slowing Down the Weight Norm Increase in |
| Momentum-based Optimizers` |
| https://arxiv.org/abs/2006.08217 |
| |
| Note: |
| Reference code: https://github.com/clovaai/AdamP |
| """ |
|
|
| def __init__( |
| self, |
| params, |
| lr: float = 1e-3, |
| betas = (0.9, 0.999), |
| eps: float = 1e-8, |
| weight_decay: float = 0, |
| delta: float = 0.1, |
| wd_ratio: float = 0.1, |
| nesterov: 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 delta < 0: |
| raise ValueError("Invalid delta value: {}".format(delta)) |
| if wd_ratio < 0: |
| raise ValueError("Invalid wd_ratio value: {}".format(wd_ratio)) |
|
|
| defaults = dict( |
| lr=lr, |
| betas=betas, |
| eps=eps, |
| weight_decay=weight_decay, |
| delta=delta, |
| wd_ratio=wd_ratio, |
| nesterov=nesterov, |
| ) |
| super(AdamP, self).__init__(params, defaults) |
|
|
| @staticmethod |
| def _channel_view(x): |
| return x.view(x.size(0), -1) |
|
|
| @staticmethod |
| def _layer_view(x): |
| return x.view(1, -1) |
|
|
| @staticmethod |
| def _cosine_similarity(x, y, eps, view_func): |
| x = view_func(x) |
| y = view_func(y) |
|
|
| x_norm = x.norm(dim=1).add_(eps) |
| y_norm = y.norm(dim=1).add_(eps) |
| dot = (x * y).sum(dim=1) |
|
|
| return dot.abs() / x_norm / y_norm |
|
|
| def _projection(self, p, grad, perturb, delta, wd_ratio, eps): |
| wd = 1 |
| expand_size = [-1] + [1] * (len(p.shape) - 1) |
| for view_func in [self._channel_view, self._layer_view]: |
| cosine_sim = self._cosine_similarity(grad, p.data, eps, view_func) |
|
|
| if cosine_sim.max() < delta / math.sqrt(view_func(p.data).size(1)): |
| p_n = p.data / view_func(p.data).norm(dim=1).view( |
| expand_size |
| ).add_(eps) |
| perturb -= p_n * view_func(p_n * perturb).sum(dim=1).view( |
| expand_size |
| ) |
| wd = wd_ratio |
|
|
| return perturb, wd |
|
|
| return perturb, wd |
|
|
| 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 |
| beta1, beta2 = group["betas"] |
| nesterov = group["nesterov"] |
|
|
| state = self.state[p] |
|
|
| |
| if len(state) == 0: |
| state["step"] = 0 |
| state["exp_avg"] = torch.zeros_like( |
| p.data, memory_format=torch.preserve_format |
| ) |
| state["exp_avg_sq"] = torch.zeros_like( |
| p.data, memory_format=torch.preserve_format |
| ) |
|
|
| |
| exp_avg, exp_avg_sq = state["exp_avg"], state["exp_avg_sq"] |
|
|
| state["step"] += 1 |
| bias_correction1 = 1 - beta1 ** state["step"] |
| bias_correction2 = 1 - beta2 ** state["step"] |
|
|
| exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1) |
| exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2) |
|
|
| denom = (exp_avg_sq.sqrt() / math.sqrt(bias_correction2)).add_( |
| group["eps"] |
| ) |
| step_size = group["lr"] / bias_correction1 |
|
|
| if nesterov: |
| perturb = (beta1 * exp_avg + (1 - beta1) * grad) / denom |
| else: |
| perturb = exp_avg / denom |
|
|
| |
| wd_ratio = 1 |
| if len(p.shape) > 1: |
| perturb, wd_ratio = self._projection( |
| p, |
| grad, |
| perturb, |
| group["delta"], |
| group["wd_ratio"], |
| group["eps"], |
| ) |
|
|
| |
| if group["weight_decay"] > 0: |
| p.data.mul_( |
| 1 - group["lr"] * group["weight_decay"] * wd_ratio |
| ) |
|
|
| |
| p.data.add_(perturb, alpha=-step_size) |
|
|
| return loss |