[docs]classSparseLamb(Optimizer):r"""Implements the sparse variant of the Lamb algorithm. SparseLamb is a variant of the Lamb optimizer that only updates the parameters for which the gradient is non-zero. This is useful for models that do not always use all parameters during a single forward pass. By default, SparseLamb is equivalent to Lamb. To activate the sparse variant, set the `sparse` argument to `True`. Arguments: params: iterable of parameters to optimize or dicts defining parameter groups lr: learning rate (default: 1e-3) betas: coefficients used for computing running averages of gradient and its square (default: (0.9, 0.999)) eps: term added to the denominator to improve numerical stability (default: 1e-8) weight_decay: weight decay (L2 penalty) (default: 0) clamp_value: clamp weight_norm in (0,clamp_value) (default: 10) set to a high value to avoid it (e.g 10e3) adam: always use trust ratio = 1, which turns this into Adam. Useful for comparison purposes. (default: False) debias: debias adam by (1 - beta**step) (default: False) sparse: only update the parameters that have non-zero gradients (default: False) __ https://arxiv.org/abs/1904.00962 Note: Reference code: https://github.com/cybertronai/pytorch-lamb """def__init__(self,params,lr:float=1e-3,betas=(0.9,0.999),eps:float=1e-6,weight_decay:float=0,clamp_value:float=10,adam:bool=False,debias:bool=False,sparse:bool=False,)->None:iflr<=0.0:raiseValueError("Invalid learning rate: {}".format(lr))ifeps<0.0:raiseValueError("Invalid epsilon value: {}".format(eps))ifnot0.0<=betas[0]<1.0:raiseValueError("Invalid beta parameter at index 0: {}".format(betas[0]))ifnot0.0<=betas[1]<1.0:raiseValueError("Invalid beta parameter at index 1: {}".format(betas[1]))ifweight_decay<0:raiseValueError("Invalid weight_decay value: {}".format(weight_decay))ifclamp_value<0.0:raiseValueError("Invalid clamp value: {}".format(clamp_value))defaults=dict(lr=lr,betas=betas,eps=eps,weight_decay=weight_decay,sparse=sparse)self.clamp_value=clamp_valueself.adam=adamself.debias=debiassuper(SparseLamb,self).__init__(params,defaults)
[docs]defstep(self,closure=None):r"""Performs a single optimization step. Arguments: closure: A closure that reevaluates the model and returns the loss. """loss=NoneifclosureisnotNone:loss=closure()forgroupinself.param_groups:forpingroup["params"]:ifp.gradisNone:continuegrad=p.grad.dataifgrad.is_sparse:msg=("Lamb does not support sparse gradients, ""please consider SparseAdam instead")raiseRuntimeError(msg)state=self.state[p]# State initializationiflen(state)==0:state["step"]=0# Exponential moving average of gradient valuesstate["exp_avg"]=torch.zeros_like(p)# Exponential moving average of squared gradient valuesstate["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"]+=1is_sparse=group["sparse"]ifis_sparse:# only update the values that are non-zeromask=grad.abs().sum(dim=-1)>0.0is_sparse=notmask.all()ifis_sparse:mask_idx=mask.nonzero()mask_idx=mask_idx.repeat((1,p.size(1)))beta1_vec=torch.full_like(p,beta1)beta1_vec[~mask]=0beta2_vec=torch.full_like(p,beta2)beta2_vec[~mask]=0# Decay the first and second moment running average coefficient# m_texp_avg.mul_(beta1_vec).scatter_add_(0,mask_idx,grad[mask].mul_(1-beta1))# v_texp_avg_sq.mul_(beta2_vec).scatter_add_(0,mask_idx,grad[mask].mul_(grad[mask]).mul_(1-beta2))else:# Decay the first and second moment running average coefficient# m_texp_avg.mul_(beta1).add_(grad,alpha=1-beta1)# v_texp_avg_sq.mul_(beta2).addcmul_(grad,grad,value=1-beta2)# Paper v3 does not use debiasing.ifself.debias:raiseNotImplementedErrorbias_correction=math.sqrt(1-beta2**state["step"])bias_correction/=1-beta1**state["step"]else:bias_correction=1# Apply bias to lr to avoid broadcast.step_size=group["lr"]*bias_correctionweight_norm=torch.norm(p.data).clamp(0,self.clamp_value)adam_step=exp_avg/exp_avg_sq.sqrt().add(group["eps"])ifgroup["weight_decay"]!=0:adam_step.add_(p.data,alpha=group["weight_decay"])adam_norm=torch.norm(adam_step)ifweight_norm==0oradam_norm==0:trust_ratio=1else:trust_ratio=weight_norm/adam_normstate["weight_norm"]=weight_normstate["adam_norm"]=adam_normstate["trust_ratio"]=trust_ratioifself.adam:trust_ratio=1ifis_sparse:# alpha_vec = torch.full((p.size(0),), -step_size * trust_ratio)p.data.scatter_add_(0,mask_idx,adam_step[mask].mul_(-step_size*trust_ratio))else:p.data.add_(adam_step,alpha=-step_size*trust_ratio)returnloss