def testDecay(self, serialize):
   num_training_steps = 1000
   initial_lr = 1.0
   for step in range(0, 1500, 250):
     decayed_lr = learning_rate_schedule.CosineDecay(initial_lr,
                                                     num_training_steps)
     decayed_lr = _maybe_serialized(decayed_lr, serialize)
     expected = self.np_cosine_decay(step, num_training_steps)
     self.assertAllClose(self.evaluate(decayed_lr(step)), expected, 1e-6)
Example #2
0
def cosine_decay(learning_rate,
                 global_step,
                 decay_steps,
                 alpha=0.0,
                 name=None):
    """Applies cosine decay to the learning rate.

  When training a model, it is often recommended to lower the learning rate as
  the training progresses.  This function applies a 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:
  ```python
  global_step = min(global_step, decay_steps)
  cosine_decay = 0.5 * (1 + cos(pi * global_step / decay_steps))
  decayed = (1 - alpha) * cosine_decay + alpha
  decayed_learning_rate = learning_rate * decayed
  ```

  Example usage:
  ```python
  decay_steps = 1000
  lr_decayed = 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.
    alpha: A scalar `float32` or `float64` Tensor or a Python number. Minimum
      learning rate value as a fraction of learning_rate.
    name: String. Optional name of the operation.  Defaults to 'CosineDecay'.

  Returns:
    A scalar `Tensor` of the same type as `learning_rate`.  The decayed
    learning rate.
  Raises:
    ValueError: if `global_step` is not supplied.

  References:
    Stochastic Gradient Descent with Warm Restarts:
      [Loshchilov et al., 2017]
      (https://openreview.net/forum?id=Skq89Scxx&noteId=Skq89Scxx)
      ([pdf](https://openreview.net/pdf?id=Skq89Scxx))

  @compatibility(eager)
  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.
  @end_compatibility
  """
    decayed_lr = learning_rate_schedule.CosineDecay(learning_rate,
                                                    decay_steps,
                                                    alpha=alpha,
                                                    name=name)

    if not tf.executing_eagerly():
        decayed_lr = decayed_lr(global_step)
    else:
        decayed_lr = functools.partial(decayed_lr, global_step)
    return decayed_lr