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import math | ||
from typing import Callable, Iterable, List, Optional, Tuple | ||
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import torch | ||
from torch import Tensor | ||
from torch.optim import Optimizer | ||
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class AdEMAMix(Optimizer): | ||
r"""Adapted from https://github.com/frgfm/Holocron/blob/main/holocron/optim/ademamix.py | ||
Implements the AdEMAMix optimizer from `"The AdEMAMix Optimizer: Better, Faster, Older" <https://arxiv.org/pdf/2409.03137>`_. | ||
The estimation of momentums is described as follows, :math:`\forall t \geq 1`: | ||
.. math:: | ||
m_{1,t} \leftarrow \beta_1 m_{1, t-1} + (1 - \beta_1) g_t \\ | ||
m_{2,t} \leftarrow \beta_3 m_{2, t-1} + (1 - \beta_3) g_t \\ | ||
s_t \leftarrow \beta_2 s_{t-1} + (1 - \beta_2) (g_t - m_t)^2 + \epsilon | ||
where :math:`g_t` is the gradient of :math:`\theta_t`, | ||
:math:`\beta_1, \beta_2, \beta_3 \in [0, 1]^3` are the exponential average smoothing coefficients, | ||
:math:`m_{1,0} = 0,\ m_{2,0} = 0,\ s_0 = 0`, :math:`\epsilon > 0`. | ||
Then we correct their biases using: | ||
.. math:: | ||
\hat{m_{1,t}} \leftarrow \frac{m_{1,t}}{1 - \beta_1^t} \\ | ||
\hat{s_t} \leftarrow \frac{s_t}{1 - \beta_2^t} | ||
And finally the update step is performed using the following rule: | ||
.. math:: | ||
\theta_t \leftarrow \theta_{t-1} - \eta \frac{\hat{m_{1,t}} + \alpha m_{2,t}}{\sqrt{\hat{s_t}} + \epsilon} | ||
where :math:`\theta_t` is the parameter value at step :math:`t` (:math:`\theta_0` being the initialization value), | ||
:math:`\eta` is the learning rate, :math:`\alpha > 0` :math:`\epsilon > 0`. | ||
Args: | ||
params (iterable): iterable of parameters to optimize or dicts defining parameter groups | ||
lr (float, optional): learning rate | ||
betas (Tuple[float, float, float], optional): coefficients used for running averages (default: (0.9, 0.999, 0.9999)) | ||
alpha (float, optional): the exponential decay rate of the second moment estimates (default: 5.0) | ||
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 (bool, optional): whether to use the AMSGrad variant (default: False) | ||
""" | ||
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def __init__( | ||
self, | ||
params: Iterable[torch.nn.Parameter], | ||
lr: float = 1e-3, | ||
betas: Tuple[float, float, float] = (0.9, 0.999, 0.9999), | ||
alpha: float = 5.0, | ||
eps: float = 1e-8, | ||
weight_decay: float = 0.0, | ||
) -> None: | ||
assert lr >= 0.0, f"Invalid learning rate: {lr}" | ||
assert eps >= 0.0, f"Invalid epsilon value: {eps}" | ||
assert all( | ||
0.0 <= beta < 1.0 for beta in betas | ||
), f"Invalid beta parameters: {betas}" | ||
defaults = { | ||
"lr": lr, | ||
"betas": betas, | ||
"alpha": alpha, | ||
"eps": eps, | ||
"weight_decay": weight_decay, | ||
} | ||
super().__init__(params, defaults) | ||
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@torch.no_grad() | ||
def step(self, closure: Optional[Callable[[], float]] = None) -> Optional[float]: # type: ignore[override] | ||
"""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: | ||
with torch.enable_grad(): | ||
loss = closure() | ||
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for group in self.param_groups: | ||
params_with_grad = [] | ||
grads = [] | ||
exp_avgs = [] | ||
exp_avgs_slow = [] | ||
exp_avg_sqs = [] | ||
state_steps = [] | ||
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for p in group["params"]: | ||
if p.grad is not None: | ||
params_with_grad.append(p) | ||
if p.grad.is_sparse: | ||
raise RuntimeError( | ||
f"{self.__class__.__name__} does not support sparse gradients" | ||
) | ||
grads.append(p.grad) | ||
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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 | ||
) | ||
state["exp_avg_slow"] = 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 | ||
) | ||
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exp_avgs.append(state["exp_avg"]) | ||
exp_avgs_slow.append(state["exp_avg_slow"]) | ||
exp_avg_sqs.append(state["exp_avg_sq"]) | ||
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# update the steps for each param group update | ||
state["step"] += 1 | ||
# record the step after step update | ||
state_steps.append(state["step"]) | ||
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beta1, beta2, beta3 = group["betas"] | ||
_update_ademamix( | ||
params_with_grad, | ||
grads, | ||
exp_avgs, | ||
exp_avgs_slow, | ||
exp_avg_sqs, | ||
state_steps, | ||
beta1, | ||
beta2, | ||
beta3, | ||
group["alpha"], | ||
group["lr"], | ||
group["weight_decay"], | ||
group["eps"], | ||
) | ||
return loss | ||
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def _update_ademamix( | ||
params: List[Tensor], | ||
grads: List[Tensor], | ||
exp_avgs: List[Tensor], | ||
exp_avgs_slow: List[Tensor], | ||
exp_avg_sqs: List[Tensor], | ||
state_steps: List[int], | ||
beta1: float, | ||
beta2: float, | ||
beta3: float, | ||
alpha: float, | ||
lr: float, | ||
weight_decay: float, | ||
eps: float, | ||
) -> None: | ||
r"""Functional API that performs AdaBelief algorithm computation. | ||
See :class:`~holocron.optim.AdaBelief` for details. | ||
""" | ||
for i, param in enumerate(params): | ||
grad = grads[i] | ||
m1 = exp_avgs[i] | ||
m2 = exp_avgs_slow[i] | ||
nu = exp_avg_sqs[i] | ||
step = state_steps[i] | ||
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bias_correction1 = 1 - beta1**step | ||
bias_correction2 = 1 - beta2**step | ||
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if weight_decay != 0: | ||
grad = grad.add(param, alpha=weight_decay) | ||
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# Decay the first and second moment running average coefficient | ||
m1.mul_(beta1).add_(grad, alpha=1 - beta1) | ||
nu.mul_(beta2).addcmul_(grad, grad, value=1 - beta2) | ||
m2.mul_(beta3).add_(grad, alpha=1 - beta3) | ||
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denom = (nu.sqrt() / math.sqrt(bias_correction2)).add_(eps) | ||
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param.addcdiv_(m1 / bias_correction1 + alpha * m2, denom, value=-lr) | ||
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def ademamix_wrapper(parameters: dict) -> torch.optim.Optimizer: | ||
""" | ||
Creates an AdEMAMix optimizer from the PyTorch `torch.optim` module using the input parameters. | ||
Args: | ||
parameters (dict): A dictionary containing the input parameters for the optimizer. | ||
Returns: | ||
torch.optim.Optimizer: An AdEMAMix optimizer. | ||
""" | ||
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return AdEMAMix( | ||
params=parameters["model_parameters"], | ||
lr=parameters.get("learning_rate", 1e-3), | ||
betas=parameters.get("betas", (0.9, 0.999, 0.9999)), | ||
alpha=parameters.get("alpha", 5.0), | ||
eps=parameters.get("eps", 1e-8), | ||
weight_decay=parameters.get("weight_decay", 0.0), | ||
) |
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