R/learning_rate_schedules.R

learning_rate_schedule_polynomial_decay

A LearningRateSchedule that uses a polynomial decay schedule

Description

A LearningRateSchedule that uses a polynomial decay schedule

Usage

 
learning_rate_schedule_polynomial_decay( 
  initial_learning_rate, 
  decay_steps, 
  end_learning_rate = 1e-04, 
  power = 1, 
  cycle = FALSE, 
  ..., 
  name = NULL 
) 

Arguments

Arguments Description
initial_learning_rate A scalar float32 or float64 Tensor or an R number. The initial learning rate.
decay_steps A scalar int32 or int64 Tensor or an R number. Must be positive. See the decay computation above.
end_learning_rate A scalar float32 or float64 Tensor or an R number. The minimal end learning rate.
power A scalar float32 or float64 Tensor or an R number. The power of the polynomial. Defaults to linear, 1.0.
cycle A boolean, whether or not it should cycle beyond decay_steps.
For backwards and forwards compatibility
name String. Optional name of the operation. Defaults to ‘PolynomialDecay’.

Details

It is commonly observed that a monotonically decreasing learning rate, whose degree of change is carefully chosen, results in a better performing model. This schedule applies a polynomial decay function to an optimizer step, given a provided initial_learning_rate, to reach an end_learning_rate in the given decay_steps. It requires a step value to compute the decayed learning rate. You can just pass a TensorFlow variable that you increment at each training step. The schedule is a 1-arg callable that produces 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. It is computed as: ```

decayed_learning_rate <- function(step) {

step <- min(step, decay_steps)

((initial_learning_rate - end_learning_rate) *

  (1 - step / decay_steps) ^ (power) 

) + end_learning_rate 

}

If `cycle` is `TRUE` then a multiple of `decay_steps` is used, the first one that is bigger than `step`.

decayed_learning_rate <- function(step) {

decay_steps <- decay_steps * ceiling(step / decay_steps)

((initial_learning_rate - end_learning_rate) *

  (1 - step / decay_steps) ^ (power) 

) + end_learning_rate 

}

You can pass this schedule directly into a keras Optimizer as the `learning_rate`. Example: Fit a model while decaying from 0.1 to 0.01 in 10000 steps using sqrt (i.e. power=0.5):

starter_learning_rate <- 0.1

end_learning_rate <- 0.01

decay_steps <- 10000

learning_rate_fn <- learning_rate_schedule_polynomial_decay(

starter_learning_rate, decay_steps, end_learning_rate, power = 0.5)

model %>%

compile(optimizer = optimizer_sgd(learning_rate = learning_rate_fn),

      loss = 'sparse_categorical_crossentropy', 

      metrics = 'accuracy') 

model %>% fit(data, labels, epochs = 5)

```

See Also