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""" Polynomial Scheduler | |
Polynomial LR schedule with warmup, noise. | |
Hacked together by / Copyright 2021 Ross Wightman | |
""" | |
import math | |
import logging | |
import torch | |
from .scheduler import Scheduler | |
_logger = logging.getLogger(__name__) | |
class PolyLRScheduler(Scheduler): | |
""" Polynomial LR Scheduler w/ warmup, noise, and k-decay | |
k-decay option based on `k-decay: A New Method For Learning Rate Schedule` - https://arxiv.org/abs/2004.05909 | |
""" | |
def __init__(self, | |
optimizer: torch.optim.Optimizer, | |
t_initial: int, | |
power: float = 0.5, | |
lr_min: float = 0., | |
cycle_mul: float = 1., | |
cycle_decay: float = 1., | |
cycle_limit: int = 1, | |
warmup_t=0, | |
warmup_lr_init=0, | |
warmup_prefix=False, | |
t_in_epochs=True, | |
noise_range_t=None, | |
noise_pct=0.67, | |
noise_std=1.0, | |
noise_seed=42, | |
k_decay=1.0, | |
initialize=True) -> None: | |
super().__init__( | |
optimizer, param_group_field="lr", | |
noise_range_t=noise_range_t, noise_pct=noise_pct, noise_std=noise_std, noise_seed=noise_seed, | |
initialize=initialize) | |
assert t_initial > 0 | |
assert lr_min >= 0 | |
if t_initial == 1 and cycle_mul == 1 and cycle_decay == 1: | |
_logger.warning("Cosine annealing scheduler will have no effect on the learning " | |
"rate since t_initial = t_mul = eta_mul = 1.") | |
self.t_initial = t_initial | |
self.power = power | |
self.lr_min = lr_min | |
self.cycle_mul = cycle_mul | |
self.cycle_decay = cycle_decay | |
self.cycle_limit = cycle_limit | |
self.warmup_t = warmup_t | |
self.warmup_lr_init = warmup_lr_init | |
self.warmup_prefix = warmup_prefix | |
self.t_in_epochs = t_in_epochs | |
self.k_decay = k_decay | |
if self.warmup_t: | |
self.warmup_steps = [(v - warmup_lr_init) / self.warmup_t for v in self.base_values] | |
super().update_groups(self.warmup_lr_init) | |
else: | |
self.warmup_steps = [1 for _ in self.base_values] | |
def _get_lr(self, t): | |
if t < self.warmup_t: | |
lrs = [self.warmup_lr_init + t * s for s in self.warmup_steps] | |
else: | |
if self.warmup_prefix: | |
t = t - self.warmup_t | |
if self.cycle_mul != 1: | |
i = math.floor(math.log(1 - t / self.t_initial * (1 - self.cycle_mul), self.cycle_mul)) | |
t_i = self.cycle_mul ** i * self.t_initial | |
t_curr = t - (1 - self.cycle_mul ** i) / (1 - self.cycle_mul) * self.t_initial | |
else: | |
i = t // self.t_initial | |
t_i = self.t_initial | |
t_curr = t - (self.t_initial * i) | |
gamma = self.cycle_decay ** i | |
lr_max_values = [v * gamma for v in self.base_values] | |
k = self.k_decay | |
if i < self.cycle_limit: | |
lrs = [ | |
self.lr_min + (lr_max - self.lr_min) * (1 - t_curr ** k / t_i ** k) ** self.power | |
for lr_max in lr_max_values | |
] | |
else: | |
lrs = [self.lr_min for _ in self.base_values] | |
return lrs | |
def get_epoch_values(self, epoch: int): | |
if self.t_in_epochs: | |
return self._get_lr(epoch) | |
else: | |
return None | |
def get_update_values(self, num_updates: int): | |
if not self.t_in_epochs: | |
return self._get_lr(num_updates) | |
else: | |
return None | |
def get_cycle_length(self, cycles=0): | |
cycles = max(1, cycles or self.cycle_limit) | |
if self.cycle_mul == 1.0: | |
return self.t_initial * cycles | |
else: | |
return int(math.floor(-self.t_initial * (self.cycle_mul ** cycles - 1) / (1 - self.cycle_mul))) | |