CosineDecay class


A LearningRateSchedule that uses a cosine decay with optional warmup.

See Loshchilov & Hutter, ICLR2016, SGDR: Stochastic Gradient Descent with Warm Restarts.

For the idea of a linear warmup of our learning rate, see Goyal et al..

When we begin training a model, we often want an initial increase in our learning rate followed by a decay. If warmup_target is an int, this schedule applies a linear increase per optimizer step to our learning rate from initial_learning_rate to warmup_target for a duration of warmup_steps. Afterwards, it applies a cosine decay function taking our learning rate from warmup_target to alpha for a duration of decay_steps. If warmup_target is None we skip warmup and our decay will take our learning rate from initial_learning_rate to alpha. It requires a step value to compute the learning rate. You can just pass a backend variable that you increment at each training step.

The schedule is a 1-arg callable that produces a warmup followed by a decayed learning rate when passed the current optimizer step. This can be useful for changing the learning rate value across different invocations of optimizer functions.

Our warmup is computed as:

def warmup_learning_rate(step):
    completed_fraction = step / warmup_steps
    total_delta = target_warmup - initial_learning_rate
    return completed_fraction * total_delta

And our decay is computed as:

if warmup_target is None:
    initial_decay_lr = initial_learning_rate
    initial_decay_lr = warmup_target

def decayed_learning_rate(step):
    step = min(step, decay_steps)
    cosine_decay = 0.5 * (1 + cos(pi * step / decay_steps))
    decayed = (1 - alpha) * cosine_decay + alpha
    return initial_decay_lr * decayed

Example usage without warmup:

decay_steps = 1000
initial_learning_rate = 0.1
lr_decayed_fn = keras.optimizers.schedules.CosineDecay(
    initial_learning_rate, decay_steps)

Example usage with warmup:

decay_steps = 1000
initial_learning_rate = 0
warmup_steps = 1000
target_learning_rate = 0.1
lr_warmup_decayed_fn = keras.optimizers.schedules.CosineDecay(
    initial_learning_rate, decay_steps, warmup_target=target_learning_rate,

You can pass this schedule directly into a keras.optimizers.Optimizer as the learning rate. The learning rate schedule is also serializable and deserializable using keras.optimizers.schedules.serialize and keras.optimizers.schedules.deserialize.


  • initial_learning_rate: A Python float. The initial learning rate.
  • decay_steps: A Python int. Number of steps to decay over.
  • alpha: A Python float. Minimum learning rate value for decay as a fraction of initial_learning_rate.
  • name: String. Optional name of the operation. Defaults to "CosineDecay".
  • warmup_target: A Python float. The target learning rate for our warmup phase. Will cast to the initial_learning_rate datatype. Setting to None will skip warmup and begins decay phase from initial_learning_rate. Otherwise scheduler will warmup from initial_learning_rate to warmup_target.
  • warmup_steps: A Python int. Number of steps to warmup over.


A 1-arg callable learning rate schedule that takes the current optimizer step and outputs the decayed learning rate, a scalar tensor of the same type as initial_learning_rate.