optimizer.py

import math
import numpy as np
import torch
from torch.optim import Optimizer
from collections import defaultdict


def anneal_function(function, step, k, t0, weight):
    if function == 'sigmoid':
        return float(1 / (1 + np.exp(-k * (step - t0)))) * weight
    elif function == 'linear':
        return min(1, step / t0) * weight
    elif function == 'constant':
        return weight
    else:
        raise ValueError


class RecAdamGC(Optimizer):
    """ Implementation of RecAdam optimizer, a variant of Adam optimizer.

    Parameters:
        lr (float): learning rate. Default 1e-3.
        betas (tuple of 2 floats): Adams beta parameters (b1, b2). Default: (0.9, 0.999)
        eps (float): Adams epsilon. Default: 1e-6
        weight_decay (float): Weight decay. Default: 0.0
        correct_bias (bool): can be set to False to avoid correcting bias in Adam (e.g. like in Bert TF repository). Default True.
        anneal_fun (str): a hyperparam for the anneal function, decide the function of the curve. Default 'sigmoid'.
        anneal_k (float): a hyperparam for the anneal function, decide the slop of the curve. Choice: [0.05, 0.1, 0.2, 0.5, 1]
        anneal_t0 (float): a hyperparam for the anneal function, decide the middle point of the curve. Choice: [100, 250, 500, 1000]
        anneal_w (float): a hyperparam for the anneal function, decide the scale of the curve. Default 1.0.
        pretrain_cof (float): the coefficient of the quadratic penalty. Default 5000.0.
        pretrain_params (list of tensors): the corresponding group of params in the pretrained model.
    """

    def __init__(self, params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8, weight_decay=0.0, correct_bias=True,
                 anneal_fun='sigmoid', anneal_k=0, anneal_t0=0, anneal_w=1.0, pretrain_cof=5000.0, pretrain_params=None):
        if lr < 0.0:
            raise ValueError("Invalid learning rate: {} - should be >= 0.0".format(lr))
        if not 0.0 <= betas[0] < 1.0:
            raise ValueError("Invalid beta parameter: {} - should be in [0.0, 1.0[".format(betas[0]))
        if not 0.0 <= betas[1] < 1.0:
            raise ValueError("Invalid beta parameter: {} - should be in [0.0, 1.0[".format(betas[1]))
        if not 0.0 <= eps:
            raise ValueError("Invalid epsilon value: {} - should be >= 0.0".format(eps))
        defaults = dict(lr=lr, betas=betas, eps=eps, weight_decay=weight_decay, correct_bias=correct_bias,
                        anneal_fun=anneal_fun, anneal_k=anneal_k, anneal_t0=anneal_t0, anneal_w=anneal_w,
                        pretrain_cof=pretrain_cof, pretrain_params=pretrain_params)
        super().__init__(params, defaults)

    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:
            loss = closure()
        for group in self.param_groups:
            for p, pp in zip(group["params"], group["pretrain_params"]):
                if p.grad is None:
                    continue
                grad = p.grad.data
                if grad.is_sparse:
                    raise RuntimeError("Adam does not support sparse gradients, please consider SparseAdam instead")

                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.data)
                    # Exponential moving average of squared gradient values
                    state["exp_avg_sq"] = torch.zeros_like(p.data)

                exp_avg, exp_avg_sq = state["exp_avg"], state["exp_avg_sq"]
                beta1, beta2 = group["betas"]

                # GC operation for Conv layers and FC layers
                length = len(list(p.data.size()))
                if length > 1:
                    grad.add_(-grad.mean(dim=tuple(range(1, length)), keepdim=True))

                state["step"] += 1

                # Decay the first and second moment running average coefficient
                # In-place operations to update the averages at the same time
                exp_avg.mul_(beta1).add_(1.0 - beta1, grad)
                exp_avg_sq.mul_(beta2).addcmul_(1.0 - beta2, grad, grad)
                denom = exp_avg_sq.sqrt().add_(group["eps"])

                step_size = group["lr"]
                if group["correct_bias"]:  # No bias correction for Bert
                    bias_correction1 = 1.0 - beta1 ** state["step"]
                    bias_correction2 = 1.0 - beta2 ** state["step"]
                    step_size = step_size * math.sqrt(bias_correction2) / bias_correction1

                # With RecAdam method, the optimization objective is
                # Loss = lambda(t)*Loss_T + (1-lambda(t))*Loss_S
                # Loss = lambda(t)*Loss_T + (1-lambda(t))*\gamma/2*\sum((\theta_i-\theta_i^*)^2)
                if group['anneal_w'] > 0.0:
                    # We calculate the lambda as the annealing function
                    anneal_lambda = anneal_function(group['anneal_fun'], state["step"], group['anneal_k'],
                                                    group['anneal_t0'], group['anneal_w'])
                    assert anneal_lambda <= group['anneal_w']
                    # The loss of the target task is multiplied by lambda(t)
                    p.data.addcdiv_(-step_size * anneal_lambda, exp_avg, denom)
                    # Add the quadratic penalty to simulate the pretraining tasks
                    p.data.add_(-group["lr"] * (group['anneal_w'] - anneal_lambda) * group["pretrain_cof"], p.data - pp.data)
                else:
                    p.data.addcdiv_(-step_size, exp_avg, denom)

                # Just adding the square of the weights to the loss function is *not*
                # the correct way of using L2 regularization/weight decay with Adam,
                # since that will interact with the m and v parameters in strange ways.
                #
                # Instead we want to decay the weights in a manner that doesn't interact
                # with the m/v parameters. This is equivalent to adding the square
                # of the weights to the loss with plain (non-momentum) SGD.
                # Add weight decay at the end (fixed version)
                if group["weight_decay"] > 0.0:
                    p.data.add_(-group["lr"] * group["weight_decay"], p.data)

        return loss


class Lookahead(Optimizer):
    '''
    PyTorch implementation of the lookahead wrapper.
    Lookahead Optimizer: https://arxiv.org/abs/1907.08610
    '''
    def __init__(self, optimizer, k=5, alpha=0.5, pullback_momentum="none"):
        '''
        :param optimizer:inner optimizer
        :param k (int): number of lookahead steps
        :param alpha(float): linear interpolation factor. 1.0 recovers the inner optimizer.
        :param pullback_momentum (str): change to inner optimizer momentum on interpolation update
        '''
        if not 0.0 <= alpha <= 1.0:
            raise ValueError(f'Invalid slow update rate: {alpha}')
        if not 1 <= k:
            raise ValueError(f'Invalid lookahead steps: {k}')
        self.optimizer = optimizer
        self.param_groups = self.optimizer.param_groups
        self.alpha = alpha
        self.k = k
        self.step_counter = 0
        assert pullback_momentum in ["reset", "pullback", "none"]
        self.pullback_momentum = pullback_momentum
        self.state = defaultdict(dict)

        # Cache the current optimizer parameters
        for group in self.optimizer.param_groups:
            for p in group['params']:
                param_state = self.state[p]
                param_state['cached_params'] = torch.zeros_like(p.data)
                param_state['cached_params'].copy_(p.data)

    def __getstate__(self):
        return {
            'state': self.state,
            'optimizer': self.optimizer,
            'alpha': self.alpha,
            'step_counter': self.step_counter,
            'k':self.k,
            'pullback_momentum': self.pullback_momentum
        }

    def zero_grad(self):
        self.optimizer.zero_grad()

    def state_dict(self):
        return self.optimizer.state_dict()

    def load_state_dict(self, state_dict):
        self.optimizer.load_state_dict(state_dict)

    def _backup_and_load_cache(self):
        """Useful for performing evaluation on the slow weights (which typically generalize better)
        """
        for group in self.optimizer.param_groups:
            for p in group['params']:
                param_state = self.state[p]
                param_state['backup_params'] = torch.zeros_like(p.data)
                param_state['backup_params'].copy_(p.data)
                p.data.copy_(param_state['cached_params'])

    def _clear_and_load_backup(self):
        for group in self.optimizer.param_groups:
            for p in group['params']:
                param_state = self.state[p]
                p.data.copy_(param_state['backup_params'])
                del param_state['backup_params']

    def step(self, closure=None):
        """Performs a single Lookahead optimization step.
        Arguments:
            closure (callable, optional): A closure that reevaluates the model
                and returns the loss.
        """
        loss = self.optimizer.step(closure)
        self.step_counter += 1

        if self.step_counter >= self.k:
            self.step_counter = 0
            # Lookahead and cache the current optimizer parameters
            for group in self.optimizer.param_groups:
                for p in group['params']:
                    param_state = self.state[p]
                    p.data.mul_(self.alpha).add_(1.0 - self.alpha, param_state['cached_params'])  # crucial line
                    param_state['cached_params'].copy_(p.data)
                    if self.pullback_momentum == "pullback":
                        internal_momentum = self.optimizer.state[p]["momentum_buffer"]
                        self.optimizer.state[p]["momentum_buffer"] = internal_momentum.mul_(self.alpha).add_(
                            1.0 - self.alpha, param_state["cached_mom"])
                        param_state["cached_mom"] = self.optimizer.state[p]["momentum_buffer"]
                    elif self.pullback_momentum == "reset":
                        self.optimizer.state[p]["momentum_buffer"] = torch.zeros_like(p.data)

        return loss


class Adam_GC(Optimizer):
    r"""Implements Adam algorithm with Gradient Centralization.

    It has been proposed in `Adam: A Method for Stochastic Optimization`_.

    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], 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)

    .. _Adam\: A Method for Stochastic Optimization:
        https://arxiv.org/abs/1412.6980
    .. _On the Convergence of Adam and Beyond:
        https://openreview.net/forum?id=ryQu7f-RZ
    """

    def __init__(self, params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8,
                 weight_decay=0, 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, amsgrad=amsgrad)
        super(Adam_GC, self).__init__(params, defaults)

    def __setstate__(self, state):
        super(Adam_GC, self).__setstate__(state)
        for group in self.param_groups:
            group.setdefault('amsgrad', False)

    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:
            loss = closure()

        for group in self.param_groups:
            for p in group['params']:
                if p.grad is None:
                    continue
                grad = p.grad.data
                if grad.is_sparse:
                    raise RuntimeError('Adam does not support sparse gradients, please consider SparseAdam instead')
                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.data)
                    # Exponential moving average of squared gradient values
                    state['exp_avg_sq'] = torch.zeros_like(p.data)
                    if amsgrad:
                        # Maintains max of all exp. moving avg. of sq. grad. values
                        state['max_exp_avg_sq'] = torch.zeros_like(p.data)

                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
                bias_correction1 = 1 - beta1 ** state['step']
                bias_correction2 = 1 - beta2 ** state['step']

                if group['weight_decay'] > 0:
                    grad.add_(group['weight_decay'], p.data)

                # GC operation for Conv layers and FC layers
                length = len(list(p.data.size()))
                if length > 1:
                    grad.add_(-grad.mean(dim=tuple(range(1, length)), keepdim=True))

                # Decay the first and second moment running average coefficient
                exp_avg.mul_(beta1).add_(1 - beta1, grad)
                exp_avg_sq.mul_(beta2).addcmul_(1 - beta2, grad, grad)
                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() / math.sqrt(bias_correction2)).add_(group['eps'])
                else:
                    denom = (exp_avg_sq.sqrt() / math.sqrt(bias_correction2)).add_(group['eps'])

                step_size = group['lr'] / bias_correction1

                p.data.addcdiv_(-step_size, exp_avg, denom)

        return loss


class AdamW(Optimizer):
    r"""Implements Adam algorithm.
    It has been proposed in `Adam: A Method for Stochastic Optimization`_.
    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], 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`_
    .. _Adam\: A Method for Stochastic Optimization:
        https://arxiv.org/abs/1412.6980
    .. _On the Convergence of Adam and Beyond:
        https://openreview.net/forum?id=ryQu7f-RZ
    """

    def __init__(self, params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8,
                 weight_decay=0, 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, amsgrad=amsgrad)
        super(AdamW, self).__init__(params, defaults)

    def __setstate__(self, state):
        super(AdamW, self).__setstate__(state)
        for group in self.param_groups:
            group.setdefault('amsgrad', False)

    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:
            loss = closure()

        for group in self.param_groups:
            for p in group['params']:
                if p.grad is None:
                    continue
                grad = p.grad.data
                if grad.is_sparse:
                    raise RuntimeError('Adam does not support sparse gradients, please consider SparseAdam instead')
                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.data)
                    # Exponential moving average of squared gradient values
                    state['exp_avg_sq'] = torch.zeros_like(p.data)
                    if amsgrad:
                        # Maintains max of all exp. moving avg. of sq. grad. values
                        state['max_exp_avg_sq'] = torch.zeros_like(p.data)

                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

                if group['weight_decay'] > 0:
                    grad.add_(group['weight_decay'], p.data)

                # Decay the first and second moment running average coefficient
                exp_avg.mul_(beta1).add_(1 - beta1, grad)
                exp_avg_sq.mul_(beta2).addcmul_(1 - beta2, grad, grad)
                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'])

                bias_correction1 = 1 - beta1 ** state['step']
                bias_correction2 = 1 - beta2 ** state['step']
                step_size = group['lr'] * math.sqrt(bias_correction2) / bias_correction1

                # p.data.addcdiv_(-step_size, exp_avg, denom)
                p.data.add_(-step_size,  torch.mul(p.data, group['weight_decay']).addcdiv_(1, exp_avg, denom) )

        return loss


class AdamW_GC(Optimizer):
    r"""Implements Adam algorithm with Gradient Centralization.
    It has been proposed in `Adam: A Method for Stochastic Optimization`_.
    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], 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`_
    .. _Adam\: A Method for Stochastic Optimization:
        https://arxiv.org/abs/1412.6980
    .. _On the Convergence of Adam and Beyond:
        https://openreview.net/forum?id=ryQu7f-RZ
    """

    def __init__(self, params, lr=1e-3, betas=(0.9, 0.999), eps=1e-8,
                 weight_decay=0, 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, amsgrad=amsgrad)
        super(AdamW_GC, self).__init__(params, defaults)

    def __setstate__(self, state):
        super(AdamW_GC, self).__setstate__(state)
        for group in self.param_groups:
            group.setdefault('amsgrad', False)

    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:
            loss = closure()

        for group in self.param_groups:
            for p in group['params']:
                if p.grad is None:
                    continue
                grad = p.grad.data
                if grad.is_sparse:
                    raise RuntimeError('Adam does not support sparse gradients, please consider SparseAdam instead')
                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.data)
                    # Exponential moving average of squared gradient values
                    state['exp_avg_sq'] = torch.zeros_like(p.data)
                    if amsgrad:
                        # Maintains max of all exp. moving avg. of sq. grad. values
                        state['max_exp_avg_sq'] = torch.zeros_like(p.data)

                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']

                # GC operation for Conv layers and FC layers
                length = len(list(p.data.size()))
                if length > 1:
                    grad.add_(-grad.mean(dim=tuple(range(1, length)), keepdim=True))

                state['step'] += 1

                if group['weight_decay'] > 0:
                    grad.add_(group['weight_decay'], p.data)

                # Decay the first and second moment running average coefficient
                exp_avg.mul_(beta1).add_(1 - beta1, grad)
                exp_avg_sq.mul_(beta2).addcmul_(1 - beta2, grad, grad)
                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'])

                bias_correction1 = 1 - beta1 ** state['step']
                bias_correction2 = 1 - beta2 ** state['step']
                step_size = group['lr'] * math.sqrt(bias_correction2) / bias_correction1

                # p.data.addcdiv_(-step_size, exp_avg, denom)
                p.data.add_(-step_size,  torch.mul(p.data, group['weight_decay']).addcdiv_(1, exp_avg, denom) )

        return loss


class Ranger_GC(Optimizer):

    def __init__(self, params, lr=1e-3, k=5, alpha=0.5, n_sma_threshhold=5, betas=(0.95,0.999), 
                 eps=1e-8, weight_decay=0, amsgrad=True, transformer='softplus', smooth=50,
                 grad_transformer='square'):
        if not 0.0 <= alpha <= 1.0:
            raise ValueError(f'Invalid slow update rate: {alpha}')
        if not 1 <= k:
            raise ValueError(f'Invalid lookahead steps: {k}')
        if not lr > 0:
            raise ValueError(f'Invalid Learning Rate: {lr}')
        if not eps > 0:
            raise ValueError(f'Invalid eps: {eps}')

        defaults = dict(lr=lr, k=k, alpha=alpha, step_counter=0, betas=betas, 
                        n_sma_threshhold=n_sma_threshhold, eps=eps, weight_decay=weight_decay,
                        smooth=smooth, transformer=transformer, grad_transformer=grad_transformer,
                        amsgrad=amsgrad)
        super().__init__(params, defaults)

        # adjustable threshold
        self.n_sma_threshhold = n_sma_threshhold   

        # lookahead params
        self.alpha = alpha
        self.k = k 

        # radam buffer for state
        self.radam_buffer = [[None,None,None] for ind in range(10)]

    def __setstate__(self, state):
        super(Ranger, self).__setstate__(state)


    def step(self, closure=None):
        loss = None
        if closure is not None:
            loss = closure()

        # Evaluate averages and grad, update param tensors
        for group in self.param_groups:

            for p in group['params']:
                if p.grad is None:
                    continue
                grad = p.grad.data.float()
                if grad.is_sparse:
                    raise RuntimeError('Ranger optimizer does not support sparse gradients')
                
                amsgrad = group['amsgrad']
                smooth = group['smooth']
                grad_transformer = group['grad_transformer']

                p_data_fp32 = p.data.float()

                state = self.state[p]

                if len(state) == 0:
                    state['step'] = 0
                    state['exp_avg'] = torch.zeros_like(p_data_fp32)
                    state['exp_avg_sq'] = torch.zeros_like(p_data_fp32)
                    if amsgrad:
                        # Maintains max of all exp. moving avg. of sq. grad. values
                        state['max_exp_avg_sq'] = torch.zeros_like(p.data)                    

                    # lookahead weight storage now in state dict 
                    state['slow_buffer'] = torch.empty_like(p.data)
                    state['slow_buffer'].copy_(p.data)

                else:
                    state['exp_avg'] = state['exp_avg'].type_as(p_data_fp32)
                    state['exp_avg_sq'] = state['exp_avg_sq'].type_as(p_data_fp32)
                                      
                exp_avg, exp_avg_sq = state['exp_avg'], state['exp_avg_sq']
                beta1, beta2 = group['betas']
                if amsgrad:
                        max_exp_avg_sq = state['max_exp_avg_sq']  
                                

                # compute variance mov avg
                exp_avg_sq.mul_(beta2).addcmul_(1 - beta2, grad, grad)
                # compute mean moving avg
                exp_avg.mul_(beta1).add_(1 - beta1, grad)
                
                # transformer
                if grad_transformer == 'square':
                    grad_tmp = grad**2
                elif grad_transformer == 'abs':
                    grad_tmp = grad.abs()

                exp_avg_sq.mul_(beta2).add_((1 - beta2)*grad_tmp)

                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
                    denomc = max_exp_avg_sq.clone()
                else:
                    denomc = exp_avg_sq.clone()

                if grad_transformer == 'square':
                    denomc.sqrt_()                                      

                # GC operation for Conv layers and FC layers
                length = len(list(p.data.size()))
                if length > 1:
                    grad.add_(-grad.mean(dim=tuple(range(1, length)), keepdim=True))

                state['step'] += 1

                if group['weight_decay'] > 0:
                    p_data_fp32.add_(-group['weight_decay'] * group['lr'], p_data_fp32)
                      
                bias_correction1 = 1 - beta1 ** state['step']
                bias_correction2 = 1 - beta2 ** state['step']
                step_size = group['lr'] * math.sqrt(bias_correction2) / bias_correction1                

                if  group['transformer'] =='softplus':
                    sp = torch.nn.Softplus( smooth)
                    denomf = sp( denomc)
                    p_data_fp32.addcdiv_(-step_size, exp_avg, denomf )  
                else:
                    denom = exp_avg_sq.sqrt().add_(group['eps'])
                    p_data_fp32.addcdiv_(-step_size * group['lr'], exp_avg, denom)

                p.data.copy_(p_data_fp32)

                # Integrated lookahead...
                # We do it at the param level instead of group level
                if state['step'] % group['k'] == 0:
                    slow_p = state['slow_buffer'] # get access to slow param tensor
                    slow_p.add_(self.alpha, p.data - slow_p)  # (fast weights - slow weights) * alpha
                    p.data.copy_(slow_p)  # copy interpolated weights to RAdam param tensor

        return loss