Source code for torch_brain.optim
import math
import torch
from torch.optim.optimizer import Optimizer
[docs]
class SparseLamb(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:
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 clamp_value < 0.0:
raise ValueError("Invalid clamp value: {}".format(clamp_value))
defaults = dict(
lr=lr, betas=betas, eps=eps, weight_decay=weight_decay, sparse=sparse
)
self.clamp_value = clamp_value
self.adam = adam
self.debias = debias
super(SparseLamb, self).__init__(params, defaults)
[docs]
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
if grad.is_sparse:
msg = (
"Lamb does not support sparse gradients, "
"please consider SparseAdam instead"
)
raise RuntimeError(msg)
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)
# Exponential moving average of squared gradient values
state["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"] += 1
is_sparse = group["sparse"]
if is_sparse:
# only update the values that are non-zero
mask = grad.abs().sum(dim=-1) > 0.0
is_sparse = not mask.all()
if is_sparse:
mask_idx = mask.nonzero()
mask_idx = mask_idx.repeat((1, p.size(1)))
beta1_vec = torch.full_like(p, beta1)
beta1_vec[~mask] = 0
beta2_vec = torch.full_like(p, beta2)
beta2_vec[~mask] = 0
# Decay the first and second moment running average coefficient
# m_t
exp_avg.mul_(beta1_vec).scatter_add_(
0, mask_idx, grad[mask].mul_(1 - beta1)
)
# v_t
exp_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_t
exp_avg.mul_(beta1).add_(grad, alpha=1 - beta1)
# v_t
exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2)
# Paper v3 does not use debiasing.
if self.debias:
raise NotImplementedError
bias_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_correction
weight_norm = torch.norm(p.data).clamp(0, self.clamp_value)
adam_step = exp_avg / exp_avg_sq.sqrt().add(group["eps"])
if group["weight_decay"] != 0:
adam_step.add_(p.data, alpha=group["weight_decay"])
adam_norm = torch.norm(adam_step)
if weight_norm == 0 or adam_norm == 0:
trust_ratio = 1
else:
trust_ratio = weight_norm / adam_norm
state["weight_norm"] = weight_norm
state["adam_norm"] = adam_norm
state["trust_ratio"] = trust_ratio
if self.adam:
trust_ratio = 1
if is_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)
return loss