tf.compat.v1.train.noisy_linear_cosine_decay

Applies noisy linear cosine decay to the learning rate.

tf.compat.v1.train.noisy_linear_cosine_decay(
    learning_rate, global_step, decay_steps, initial_variance=1.0,
    variance_decay=0.55, num_periods=0.5, alpha=0.0, beta=0.001, name=None
)

Note that linear cosine decay is more aggressive than cosine decay and larger initial learning rates can typically be used.

When training a model, it is often recommended to lower the learning rate as the training progresses. This function applies a noisy linear cosine decay function to a provided initial learning rate. It requires a global_step value to compute the decayed learning rate. You can just pass a TensorFlow variable that you increment at each training step.

The function returns the decayed learning rate. It is computed as:

global_step = min(global_step, decay_steps)
linear_decay = (decay_steps - global_step) / decay_steps)
cosine_decay = 0.5 * (
    1 + cos(pi * 2 * num_periods * global_step / decay_steps))
decayed = (alpha + linear_decay + eps_t) * cosine_decay + beta
decayed_learning_rate = learning_rate * decayed

where eps_t is 0-centered gaussian noise with variance initial_variance / (1 + global_step) ** variance_decay

Example usage:

decay_steps = 1000
lr_decayed = noisy_linear_cosine_decay(
  learning_rate, global_step, decay_steps)

Args
learning_rate	A scalar float32 or float64 Tensor or a Python number. The initial learning rate.
global_step	A scalar int32 or int64 Tensor or a Python number. Global step to use for the decay computation.
decay_steps	A scalar int32 or int64 Tensor or a Python number. Number of steps to decay over.
initial_variance	initial variance for the noise. See computation above.
variance_decay	decay for the noise's variance. See computation above.
num_periods	Number of periods in the cosine part of the decay. See computation above.
alpha	See computation above.
beta	See computation above.
name	String. Optional name of the operation. Defaults to 'NoisyLinearCosineDecay'.

Returns
A scalar Tensor of the same type as learning_rate. The decayed learning rate.

Raises
ValueError	if global_step is not supplied.

References:

Neural Optimizer Search with Reinforcement Learning: Bello et al., 2017 (pdf) Stochastic Gradient Descent with Warm Restarts: Loshchilov et al., 2017 (pdf)

Eager Compatibility

When eager execution is enabled, this function returns a function which in turn returns the decayed learning rate Tensor. This can be useful for changing the learning rate value across different invocations of optimizer functions.