Adam是通过梯度的一阶矩和二阶矩自适应的控制每个参数的学习率的大小。

adam的初始化
- def __init__(self, params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8,
- weight_decay=0, amsgrad=False):
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: (0.9, 0.999))
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)
amsgrad (boolean, optional): whether to use the AMSGrad variant of this
algorithm from the paper `On the Convergence of Adam and Beyond`_
(default: False)
- @torch.no_grad()
- def step(self, closure=None):
- """Performs a single optimization step.
- Args:
- 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:
- params_with_grad = []
- grads = []
- exp_avgs = []
- exp_avg_sqs = []
- max_exp_avg_sqs = []
- state_steps = []
- beta1, beta2 = group['betas']
-
- for p in group['params']:
- if p.grad is not None:
- params_with_grad.append(p)
- if p.grad.is_sparse:
- raise RuntimeError('Adam does not support sparse gradients, please consider SparseAdam instead')
- grads.append(p.grad)
-
- state = self.state[p]
- # Lazy state initialization
- if len(state) == 0:
- state['step'] = 0
- # Exponential moving average of gradient values
- state['exp_avg'] = torch.zeros_like(p, memory_format=torch.preserve_format)
- # Exponential moving average of squared gradient values
- state['exp_avg_sq'] = torch.zeros_like(p, memory_format=torch.preserve_format)
- if group['amsgrad']:
- # Maintains max of all exp. moving avg. of sq. grad. values
- state['max_exp_avg_sq'] = torch.zeros_like(p, memory_format=torch.preserve_format)
-
- exp_avgs.append(state['exp_avg'])
- exp_avg_sqs.append(state['exp_avg_sq'])
-
- if group['amsgrad']:
- max_exp_avg_sqs.append(state['max_exp_avg_sq'])
-
- # update the steps for each param group update
- state['step'] += 1
- # record the step after step update
- state_steps.append(state['step'])
-
- F.adam(params_with_grad,
- grads,
- exp_avgs,
- exp_avg_sqs,
- max_exp_avg_sqs,
- state_steps,
- amsgrad=group['amsgrad'],
- beta1=beta1,
- beta2=beta2,
- lr=group['lr'],
- weight_decay=group['weight_decay'],
- eps=group['eps'])
- return loss