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LearnLayer.py
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"""
learning_rate_schedulers.py
===========================
A collection of learning rate scheduling strategies for neural network training.
This module defines a base class `LearningRateScheduler` and multiple subclasses
that implement various learning rate scheduling algorithms, including:
- Constant
- Linear decay
- Exponential decay
- Step decay
- Cosine annealing
- Cosine annealing with warm restarts
- Cyclic
- One cycle
- Polynomial decay
- Warmup scheduler
All schedulers follow a unified interface compatible with optimizers.
"""
from __future__ import annotations
from abc import ABC, abstractmethod
import numpy as np
# --------------------------------------------------------------------------- #
# Base Class
# --------------------------------------------------------------------------- #
class LearningRateScheduler(ABC):
"""
Abstract base class for learning rate schedules.
Notes
-----
Subclasses must implement the :meth:`get_lr` method.
Methods
-------
get_lr(epoch : int) -> float
Get learning rate for a given epoch.
"""
@abstractmethod
def get_lr(self, epoch: int) -> float:
"""
Get learning rate for given epoch.
Parameters
----------
epoch : int
Current epoch number.
Returns
-------
float
Computed learning rate for the epoch.
"""
pass
def __repr__(self) -> str:
params = ", ".join(f"{k}={v}" for k, v in vars(self).items())
return f"{self.__class__.__name__}({params})"
# --------------------------------------------------------------------------- #
# Constant Learning Rate
# --------------------------------------------------------------------------- #
class ConstantLR(LearningRateScheduler):
"""
Constant learning rate scheduler.
Parameters
----------
lr : float
Fixed learning rate value.
"""
def __init__(self, lr: float) -> None:
self.lr = lr
def get_lr(self, epoch: int) -> float:
return self.lr
# --------------------------------------------------------------------------- #
# Linear Decay
# --------------------------------------------------------------------------- #
class LinearDecayLR(LearningRateScheduler):
"""
Linearly decays learning rate from `start_lr` to `end_lr` over epochs.
Parameters
----------
start_lr : float
Initial learning rate.
end_lr : float
Final learning rate.
epochs : int
Total number of epochs for decay.
"""
def __init__(self, start_lr: float, end_lr: float, epochs: int) -> None:
self.start_lr = start_lr
self.end_lr = end_lr
self.epochs = epochs
def get_lr(self, epoch: int) -> float:
if epoch >= self.epochs:
return self.end_lr
ratio = epoch / self.epochs
return self.start_lr - (self.start_lr - self.end_lr) * ratio
# --------------------------------------------------------------------------- #
# Exponential Decay
# --------------------------------------------------------------------------- #
class ExponentialDecayLR(LearningRateScheduler):
"""
Exponentially decays learning rate:
:math:`lr = initial_lr * (decay_rate ^ epoch)`
Parameters
----------
initial_lr : float
Initial learning rate.
decay_rate : float
Decay rate per epoch (typically 0.9–0.99).
"""
def __init__(self, initial_lr: float, decay_rate: float) -> None:
self.initial_lr = initial_lr
self.decay_rate = decay_rate
def get_lr(self, epoch: int) -> float:
return self.initial_lr * (self.decay_rate**epoch)
# --------------------------------------------------------------------------- #
# Step Decay
# --------------------------------------------------------------------------- #
class StepDecayLR(LearningRateScheduler):
"""
Step decay scheduler.
Reduces learning rate by `drop_factor` every `step_size` epochs.
Parameters
----------
initial_lr : float
Initial learning rate.
drop_factor : float, default=0.5
Factor to multiply the learning rate by at each step.
step_size : int, default=1000
Number of epochs between drops.
"""
def __init__(
self, initial_lr: float, drop_factor: float = 0.5, step_size: int = 1000
) -> None:
self.initial_lr = initial_lr
self.drop_factor = drop_factor
self.step_size = step_size
def get_lr(self, epoch: int) -> float:
return self.initial_lr * (self.drop_factor ** (epoch // self.step_size))
# --------------------------------------------------------------------------- #
# Cosine Annealing
# --------------------------------------------------------------------------- #
class CosineAnnealingLR(LearningRateScheduler):
"""
Cosine annealing scheduler.
Learning rate follows a cosine curve between `max_lr` and `min_lr`.
Parameters
----------
max_lr : float
Maximum learning rate.
min_lr : float
Minimum learning rate.
T_max : int
Number of epochs for one complete cycle.
"""
def __init__(self, max_lr: float, min_lr: float, T_max: int) -> None:
self.max_lr = max_lr
self.min_lr = min_lr
self.T_max = T_max
def get_lr(self, epoch: int) -> float:
cos_inner = np.pi * (epoch % self.T_max) / self.T_max
return self.min_lr + 0.5 * (self.max_lr - self.min_lr) * (1 + np.cos(cos_inner))
# --------------------------------------------------------------------------- #
# Cosine Annealing with Warm Restarts
# --------------------------------------------------------------------------- #
class CosineAnnealingWarmRestartsLR(LearningRateScheduler):
"""
Cosine annealing with warm restarts (SGDR).
Parameters
----------
max_lr : float
Maximum learning rate.
min_lr : float
Minimum learning rate.
T_0 : int
Initial restart period.
T_mult : int, default=2
Factor to multiply the period after each restart.
"""
def __init__(self, max_lr: float, min_lr: float, T_0: int, T_mult: int = 2) -> None:
self.max_lr = max_lr
self.min_lr = min_lr
self.T_0 = T_0
self.T_mult = T_mult
def get_lr(self, epoch: int) -> float:
T_cur, T_i = epoch, self.T_0
while T_cur >= T_i:
T_cur -= T_i
T_i *= self.T_mult
return self.min_lr + 0.5 * (self.max_lr - self.min_lr) * (
1 + np.cos(np.pi * T_cur / T_i)
)
# --------------------------------------------------------------------------- #
# Cyclic LR
# --------------------------------------------------------------------------- #
class CyclicLR(LearningRateScheduler):
"""
Cyclic learning rate scheduler.
Oscillates between `min_lr` and `max_lr` using a triangular or exponential mode.
Parameters
----------
min_lr : float
Minimum learning rate.
max_lr : float
Maximum learning rate.
step_size : int
Half-period of a cycle (in epochs).
mode : {'triangular', 'triangular2', 'exp_range'}, default='triangular'
Cycle mode.
gamma : float, default=0.999
Decay factor for `exp_range` mode.
"""
def __init__(
self,
min_lr: float,
max_lr: float,
step_size: int,
mode: str = "triangular",
gamma: float = 0.999,
) -> None:
self.min_lr = min_lr
self.max_lr = max_lr
self.step_size = step_size
self.mode = mode
self.gamma = gamma
def get_lr(self, epoch: int) -> float:
cycle = np.floor(1 + epoch / (2 * self.step_size))
x = abs(epoch / self.step_size - 2 * cycle + 1)
if self.mode == "triangular":
scale_factor = 1.0
elif self.mode == "triangular2":
scale_factor = 1.0 / (2.0 ** (cycle - 1))
elif self.mode == "exp_range":
scale_factor = self.gamma**epoch
else:
scale_factor = 1.0
return (
self.min_lr + (self.max_lr - self.min_lr) * max(0, (1 - x)) * scale_factor
)
# --------------------------------------------------------------------------- #
# One Cycle LR
# --------------------------------------------------------------------------- #
class OneCycleLR(LearningRateScheduler):
"""
One cycle learning rate policy.
Increases learning rate to `max_lr` and then decreases it, following a single cycle.
Parameters
----------
max_lr : float
Maximum learning rate.
total_epochs : int
Total number of epochs in the cycle.
pct_start : float, default=0.3
Percentage of cycle spent increasing learning rate.
div_factor : float, default=25.0
Determines initial lr = max_lr / div_factor.
final_div_factor : float, default=10000.0
Determines final lr = initial_lr / final_div_factor.
"""
def __init__(
self,
max_lr: float,
total_epochs: int,
pct_start: float = 0.3,
div_factor: float = 25.0,
final_div_factor: float = 10000.0,
) -> None:
self.max_lr = max_lr
self.total_epochs = total_epochs
self.pct_start = pct_start
self.initial_lr = max_lr / div_factor
self.final_lr = self.initial_lr / final_div_factor
def get_lr(self, epoch: int) -> float:
if epoch < self.pct_start * self.total_epochs:
pct = epoch / (self.pct_start * self.total_epochs)
return self.initial_lr + (self.max_lr - self.initial_lr) * pct
pct = (epoch - self.pct_start * self.total_epochs) / (
(1 - self.pct_start) * self.total_epochs
)
return self.max_lr - (self.max_lr - self.final_lr) * pct
# --------------------------------------------------------------------------- #
# Polynomial Decay
# --------------------------------------------------------------------------- #
class PolynomialDecayLR(LearningRateScheduler):
"""
Polynomial decay scheduler.
:math:`lr = (initial_lr - end_lr) * (1 - epoch/total_epochs)^power + end_lr`
Parameters
----------
initial_lr : float
Initial learning rate.
end_lr : float
Final learning rate.
total_epochs : int
Total number of epochs.
power : float, default=2.0
Polynomial power.
"""
def __init__(
self, initial_lr: float, end_lr: float, total_epochs: int, power: float = 2.0
) -> None:
self.initial_lr = initial_lr
self.end_lr = end_lr
self.total_epochs = total_epochs
self.power = power
def get_lr(self, epoch: int) -> float:
if epoch >= self.total_epochs:
return self.end_lr
decay = (1.0 - epoch / self.total_epochs) ** self.power
return (self.initial_lr - self.end_lr) * decay + self.end_lr
# --------------------------------------------------------------------------- #
# Warmup Scheduler
# --------------------------------------------------------------------------- #
class WarmupLR(LearningRateScheduler):
"""
Warmup scheduler.
Gradually increases the learning rate for a few epochs, then delegates to
another scheduler.
Parameters
----------
base_scheduler : LearningRateScheduler
Scheduler to use after warmup.
warmup_epochs : int
Number of warmup epochs.
warmup_start_lr : float, default=1e-6
Starting learning rate for warmup.
"""
def __init__(
self,
base_scheduler: LearningRateScheduler,
warmup_epochs: int,
warmup_start_lr: float = 1e-6,
) -> None:
self.base_scheduler = base_scheduler
self.warmup_epochs = warmup_epochs
self.warmup_start_lr = warmup_start_lr
self.target_lr = base_scheduler.get_lr(0)
def get_lr(self, epoch: int) -> float:
if epoch < self.warmup_epochs:
return self.warmup_start_lr + (self.target_lr - self.warmup_start_lr) * (
epoch / self.warmup_epochs
)
return self.base_scheduler.get_lr(epoch - self.warmup_epochs)