class

OneCycleLR

extends_LRScheduler

OneCycleLR(optimizer: Optimizer, max_lr: float, total_steps: int, pct_start: float = 0.3, anneal_strategy: str = 'cos', div_factor: float = 25.0, final_div_factor: float = 10000.0, last_epoch: int = -1, verbose: bool = False)

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1Cycle learning rate policy.

Implements the 1cycle policy: the learning rate first rises from an initial value to max_lr over a warmup phase, then anneals down to a minimum value over the remaining steps.

Three special learning rates are derived from max_lr:

\begin{aligned} \eta_{\text{init}} &= \frac{\eta_{\max}}{\text{div\_factor}} \\ \eta_{\min} &= \frac{\eta_{\text{init}}}{\text{final\_div\_factor}} \end{aligned}

The schedule has two phases:

Warmup (first pct_start * total_steps steps): anneal from $\eta_{\text{init}}$ up to $\eta_{\max}$ .
Cooldown (remaining steps): anneal from $\eta_{\max}$ down to $\eta_{\min}$ .

Each phase uses either cosine or linear annealing depending on anneal_strategy.

Parameters

optimizerOptimizer

Wrapped optimizer.

max_lrfloat

Peak learning rate reached at the end of the warmup phase.

total_stepsint

Total number of steps (batches) in the training run.

pct_startfloat= 0.3

Fraction of total_steps devoted to the warmup phase (default: 0.3).

anneal_strategystr= 'cos'

Annealing function: "cos" for cosine annealing or "linear" for linear annealing (default: "cos").

div_factorfloat= 25.0

Determines the initial LR as max_lr / div_factor (default: 25.0).

final_div_factorfloat= 10000.0

Determines the minimum LR as initial_lr / final_div_factor (default: 1e4).

last_epochint= -1

The index of the last epoch (default: -1).

verbosebool= False

Print the updated LR after each step if True (default: False).

Attributes

max_lrfloat

Peak learning rate.

total_stepsint

Total training steps.

pct_startfloat

Warmup fraction.

anneal_strategystr

"cos" or "linear".

div_factorfloat

Initial LR divisor.

final_div_factorfloat

Minimum LR divisor relative to initial LR.

Notes

The 1cycle policy should be called once per training step (per batch), not once per epoch. It is designed for super-convergence and often allows training with much larger learning rates than standard schedules.

Examples

>>> import lucid.nn as nn
>>> model = nn.Linear(4, 2)
>>> import lucid.optim as optim
>>> optimizer = optim.SGD(model.parameters(), lr=0.1)

Used by 1

lucid.optim

Constructors

dunder

init

→None

__init__(optimizer: Optimizer, max_lr: float, total_steps: int, pct_start: float = 0.3, anneal_strategy: str = 'cos', div_factor: float = 25.0, final_div_factor: float = 10000.0, last_epoch: int = -1, verbose: bool = False)

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Initialise the OneCycleLR. See the class docstring for parameter semantics.

Instance methods

get_lr

→list[float]

get_lr()

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Compute the learning rate for each parameter group at the current step.

Returns

list[float]

One learning rate per param group, derived from the schedule formula documented in the class docstring.

OneCycleLR(optimizer: Optimizer, max_lr: float, total_steps: int, pct_start: float = 0.3, anneal_strategy: str = 'cos', div_factor: float = 25.0, final_div_factor: float = 10000.0, last_epoch: int = -1, verbose: bool = False)

__init__(optimizer: Optimizer, max_lr: float, total_steps: int, pct_start: float = 0.3, anneal_strategy: str = 'cos', div_factor: float = 25.0, final_div_factor: float = 10000.0, last_epoch: int = -1, verbose: bool = False)