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"""Various learning rate decay functions."""
from tensorflow.python.framework import ops
from tensorflow.python.ops import math_ops
def exponential_decay(learning_rate, global_step, decay_steps, decay_rate,
staircase=False, name=None):
"""Applies exponential 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 an exponential 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
decayed_learning_rate = learning_rate *
decay_rate ^ (global_step / decay_steps)
```
If the argument `staircase` is `True`, then `global_step /decay_steps` is an
integer division and the decayed learning rate follows a staircase function.
Example: decay every 100000 steps with a base of 0.96:
```python
...
global_step = tf.Variable(0, trainable=False)
starter_learning_rate = 0.1
learning_rate = tf.exponential_decay(starter_learning_rate, global_step,
100000, 0.96, staircase=True)
optimizer = tf.GradientDescent(learning_rate)
# Passing global_step to minimize() will increment it at each step.
optimizer.minimize(...my loss..., global_step=global_step)
```
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. Must not be negative.
decay_steps: A scalar `int32` or `int64` `Tensor` or a Python number.
Must be positive. See the decay computation above.
decay_rate: A scalar `float32` or `float64` `Tensor` or a
Python number. The decay rate.
staircase: Boolean. It `True` decay the learning rate at discrete intervals.
name: string. Optional name of the operation. Defaults to 'ExponentialDecay'
Returns:
A scalar `Tensor` of the same type as `learning_rate`. The decayed
learning rate.
"""
with ops.op_scope([learning_rate, global_step, decay_steps, decay_rate],
name, "ExponentialDecay") as name:
learning_rate = ops.convert_to_tensor(learning_rate, name="learning_rate")
dtype = learning_rate.dtype
global_step = math_ops.cast(global_step, dtype)
decay_steps = math_ops.cast(decay_steps, dtype)
decay_rate = math_ops.cast(decay_rate, dtype)
p = global_step / decay_steps
if staircase:
p = math_ops.floor(p)
return math_ops.mul(learning_rate, math_ops.pow(decay_rate, p), name=name)
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