A callback is a powerful tool to customize the behavior of a Keras
model during training, evaluation, or inference. Examples include
keras.callbacks.TensorBoard
to visualize training progress
and results with TensorBoard, or
keras.callbacks.ModelCheckpoint
to periodically save your
model during training.
In this guide, you will learn what a Keras callback is, what it can do, and how you can build your own. We provide a few demos of simple callback applications to get you started.
All callbacks subclass the keras.callbacks.Callback
class, and override a set of methods called at various stages of
training, testing, and predicting. Callbacks are useful to get a view on
internal states and statistics of the model during training.
You can pass a list of callbacks (as the keyword argument
callbacks
) to the following model methods:
fit()
evaluate()
predict()
on_(train|test|predict)_begin(logs = NULL)
Called at the beginning of
fit
/evaluate
/predict
.
on_(train|test|predict)_end(logs = NULL)
Called at the end of
fit
/evaluate
/predict
.
on_(train|test|predict)_batch_begin(batch, logs = NULL)
Called right before processing a batch during training/testing/predicting.
on_(train|test|predict)_batch_end(batch, logs = NULL)
Called at the end of training/testing/predicting a batch. Within this
method, logs
is a named list containing the metrics
results.
on_epoch_begin(epoch, logs = NULL)
Called at the beginning of an epoch during training.
on_epoch_end(epoch, logs = NULL)
Called at the end of an epoch during training.
Let’s take a look at a concrete example. To get started, let’s import tensorflow and define a simple Sequential Keras model:
# Define the Keras model to add callbacks to
get_model <- function() {
model <- keras_model_sequential()
model |> layer_dense(units = 1)
model |> compile(
optimizer = optimizer_rmsprop(learning_rate = 0.1),
loss = "mean_squared_error",
metrics = "mean_absolute_error"
)
model
}
Then, load the MNIST data for training and testing from Keras datasets API:
# Load example MNIST data and pre-process it
mnist <- dataset_mnist()
flatten_and_rescale <- function(x) {
x <- array_reshape(x, c(-1, 784))
x <- x / 255
x
}
mnist$train$x <- flatten_and_rescale(mnist$train$x)
mnist$test$x <- flatten_and_rescale(mnist$test$x)
# limit to 1000 samples
n <- 1000
mnist$train$x <- mnist$train$x[1:n,]
mnist$train$y <- mnist$train$y[1:n]
mnist$test$x <- mnist$test$x[1:n,]
mnist$test$y <- mnist$test$y[1:n]
Now, define a simple custom callback that logs:
fit
/evaluate
/predict
starts & endsshow <- function(msg, logs) {
cat(glue::glue(msg, .envir = parent.frame()),
"got logs: ", sep = "; ")
str(logs); cat("\n")
}
callback_custom <- Callback(
"CustomCallback",
on_train_begin = \(logs = NULL) show("Starting training", logs),
on_epoch_begin = \(epoch, logs = NULL) show("Start epoch {epoch} of training", logs),
on_train_batch_begin = \(batch, logs = NULL) show("...Training: start of batch {batch}", logs),
on_train_batch_end = \(batch, logs = NULL) show("...Training: end of batch {batch}", logs),
on_epoch_end = \(epoch, logs = NULL) show("End epoch {epoch} of training", logs),
on_train_end = \(logs = NULL) show("Stop training", logs),
on_test_begin = \(logs = NULL) show("Start testing", logs),
on_test_batch_begin = \(batch, logs = NULL) show("...Evaluating: start of batch {batch}", logs),
on_test_batch_end = \(batch, logs = NULL) show("...Evaluating: end of batch {batch}", logs),
on_test_end = \(logs = NULL) show("Stop testing", logs),
on_predict_begin = \(logs = NULL) show("Start predicting", logs),
on_predict_end = \(logs = NULL) show("Stop predicting", logs),
on_predict_batch_begin = \(batch, logs = NULL) show("...Predicting: start of batch {batch}", logs),
on_predict_batch_end = \(batch, logs = NULL) show("...Predicting: end of batch {batch}", logs),
)
Let’s try it out:
model <- get_model()
model |> fit(
mnist$train$x, mnist$train$y,
batch_size = 128,
epochs = 2,
verbose = 0,
validation_split = 0.5,
callbacks = list(callback_custom())
)
## Starting training; got logs: Named list()
##
## Start epoch 1 of training; got logs: Named list()
##
## ...Training: start of batch 1; got logs: Named list()
##
## ...Training: end of batch 1; got logs: List of 2
## $ loss : num 25.9
## $ mean_absolute_error: num 4.19
##
## ...Training: start of batch 2; got logs: Named list()
##
## ...Training: end of batch 2; got logs: List of 2
## $ loss : num 433
## $ mean_absolute_error: num 15.5
##
## ...Training: start of batch 3; got logs: Named list()
##
## ...Training: end of batch 3; got logs: List of 2
## $ loss : num 297
## $ mean_absolute_error: num 11.8
##
## ...Training: start of batch 4; got logs: Named list()
##
## ...Training: end of batch 4; got logs: List of 2
## $ loss : num 231
## $ mean_absolute_error: num 9.68
##
## Start testing; got logs: Named list()
##
## ...Evaluating: start of batch 1; got logs: Named list()
##
## ...Evaluating: end of batch 1; got logs: List of 2
## $ loss : num 8.1
## $ mean_absolute_error: num 2.3
##
## ...Evaluating: start of batch 2; got logs: Named list()
##
## ...Evaluating: end of batch 2; got logs: List of 2
## $ loss : num 7.58
## $ mean_absolute_error: num 2.23
##
## ...Evaluating: start of batch 3; got logs: Named list()
##
## ...Evaluating: end of batch 3; got logs: List of 2
## $ loss : num 7.38
## $ mean_absolute_error: num 2.21
##
## ...Evaluating: start of batch 4; got logs: Named list()
##
## ...Evaluating: end of batch 4; got logs: List of 2
## $ loss : num 7.3
## $ mean_absolute_error: num 2.21
##
## Stop testing; got logs: List of 2
## $ loss : num 7.3
## $ mean_absolute_error: num 2.21
##
## End epoch 1 of training; got logs: List of 4
## $ loss : num 231
## $ mean_absolute_error : num 9.68
## $ val_loss : num 7.3
## $ val_mean_absolute_error: num 2.21
##
## Start epoch 2 of training; got logs: Named list()
##
## ...Training: start of batch 1; got logs: Named list()
##
## ...Training: end of batch 1; got logs: List of 2
## $ loss : num 7.44
## $ mean_absolute_error: num 2.27
##
## ...Training: start of batch 2; got logs: Named list()
##
## ...Training: end of batch 2; got logs: List of 2
## $ loss : num 6.81
## $ mean_absolute_error: num 2.16
##
## ...Training: start of batch 3; got logs: Named list()
##
## ...Training: end of batch 3; got logs: List of 2
## $ loss : num 6.12
## $ mean_absolute_error: num 2.06
##
## ...Training: start of batch 4; got logs: Named list()
##
## ...Training: end of batch 4; got logs: List of 2
## $ loss : num 6.08
## $ mean_absolute_error: num 2.04
##
## Start testing; got logs: Named list()
##
## ...Evaluating: start of batch 1; got logs: Named list()
##
## ...Evaluating: end of batch 1; got logs: List of 2
## $ loss : num 5.54
## $ mean_absolute_error: num 1.92
##
## ...Evaluating: start of batch 2; got logs: Named list()
##
## ...Evaluating: end of batch 2; got logs: List of 2
## $ loss : num 5.31
## $ mean_absolute_error: num 1.87
##
## ...Evaluating: start of batch 3; got logs: Named list()
##
## ...Evaluating: end of batch 3; got logs: List of 2
## $ loss : num 5.11
## $ mean_absolute_error: num 1.8
##
## ...Evaluating: start of batch 4; got logs: Named list()
##
## ...Evaluating: end of batch 4; got logs: List of 2
## $ loss : num 5.15
## $ mean_absolute_error: num 1.82
##
## Stop testing; got logs: List of 2
## $ loss : num 5.15
## $ mean_absolute_error: num 1.82
##
## End epoch 2 of training; got logs: List of 4
## $ loss : num 6.08
## $ mean_absolute_error : num 2.04
## $ val_loss : num 5.15
## $ val_mean_absolute_error: num 1.82
##
## Stop training; got logs: List of 4
## $ loss : num 6.08
## $ mean_absolute_error : num 2.04
## $ val_loss : num 5.15
## $ val_mean_absolute_error: num 1.82
res <- model |> evaluate(
mnist$test$x, mnist$test$y,
batch_size = 128, verbose = 0,
callbacks = list(callback_custom())
)
## Start testing; got logs: Named list()
##
## ...Evaluating: start of batch 1; got logs: Named list()
##
## ...Evaluating: end of batch 1; got logs: List of 2
## $ loss : num 5.2
## $ mean_absolute_error: num 1.84
##
## ...Evaluating: start of batch 2; got logs: Named list()
##
## ...Evaluating: end of batch 2; got logs: List of 2
## $ loss : num 4.62
## $ mean_absolute_error: num 1.73
##
## ...Evaluating: start of batch 3; got logs: Named list()
##
## ...Evaluating: end of batch 3; got logs: List of 2
## $ loss : num 4.61
## $ mean_absolute_error: num 1.74
##
## ...Evaluating: start of batch 4; got logs: Named list()
##
## ...Evaluating: end of batch 4; got logs: List of 2
## $ loss : num 4.65
## $ mean_absolute_error: num 1.75
##
## ...Evaluating: start of batch 5; got logs: Named list()
##
## ...Evaluating: end of batch 5; got logs: List of 2
## $ loss : num 4.84
## $ mean_absolute_error: num 1.77
##
## ...Evaluating: start of batch 6; got logs: Named list()
##
## ...Evaluating: end of batch 6; got logs: List of 2
## $ loss : num 4.76
## $ mean_absolute_error: num 1.76
##
## ...Evaluating: start of batch 7; got logs: Named list()
##
## ...Evaluating: end of batch 7; got logs: List of 2
## $ loss : num 4.74
## $ mean_absolute_error: num 1.76
##
## ...Evaluating: start of batch 8; got logs: Named list()
##
## ...Evaluating: end of batch 8; got logs: List of 2
## $ loss : num 4.67
## $ mean_absolute_error: num 1.75
##
## Stop testing; got logs: List of 2
## $ loss : num 4.67
## $ mean_absolute_error: num 1.75
res <- model |> predict(
mnist$test$x,
batch_size = 128, verbose = 0,
callbacks = list(callback_custom())
)
## Start predicting; got logs: Named list()
##
## ...Predicting: start of batch 1; got logs: Named list()
##
## ...Predicting: end of batch 1; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 2; got logs: Named list()
##
## ...Predicting: end of batch 2; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 3; got logs: Named list()
##
## ...Predicting: end of batch 3; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 4; got logs: Named list()
##
## ...Predicting: end of batch 4; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 5; got logs: Named list()
##
## ...Predicting: end of batch 5; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 6; got logs: Named list()
##
## ...Predicting: end of batch 6; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 7; got logs: Named list()
##
## ...Predicting: end of batch 7; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(128, 1), dtype=float32, numpy=…>
##
## ...Predicting: start of batch 8; got logs: Named list()
##
## ...Predicting: end of batch 8; got logs: List of 1
## $ outputs:<tf.Tensor: shape=(104, 1), dtype=float32, numpy=…>
##
## Stop predicting; got logs: Named list()
logs
listThe logs
named list contains the loss value, and all the
metrics at the end of a batch or epoch. Example includes the loss and
mean absolute error.
callback_print_loss_and_mae <- Callback(
"LossAndErrorPrintingCallback",
on_train_batch_end = function(batch, logs = NULL)
cat(sprintf("Up to batch %i, the average loss is %7.2f.\n",
batch, logs$loss)),
on_test_batch_end = function(batch, logs = NULL)
cat(sprintf("Up to batch %i, the average loss is %7.2f.\n",
batch, logs$loss)),
on_epoch_end = function(epoch, logs = NULL)
cat(sprintf(
"The average loss for epoch %2i is %9.2f and mean absolute error is %7.2f.\n",
epoch, logs$loss, logs$mean_absolute_error
))
)
model <- get_model()
model |> fit(
mnist$train$x, mnist$train$y,
epochs = 2, verbose = 0, batch_size = 128,
callbacks = list(callback_print_loss_and_mae())
)
## Up to batch 1, the average loss is 25.12.
## Up to batch 2, the average loss is 398.92.
## Up to batch 3, the average loss is 274.04.
## Up to batch 4, the average loss is 208.32.
## Up to batch 5, the average loss is 168.15.
## Up to batch 6, the average loss is 141.31.
## Up to batch 7, the average loss is 122.19.
## Up to batch 8, the average loss is 110.05.
## The average loss for epoch 1 is 110.05 and mean absolute error is 5.79.
## Up to batch 1, the average loss is 4.71.
## Up to batch 2, the average loss is 4.74.
## Up to batch 3, the average loss is 4.81.
## Up to batch 4, the average loss is 5.07.
## Up to batch 5, the average loss is 5.08.
## Up to batch 6, the average loss is 5.09.
## Up to batch 7, the average loss is 5.19.
## Up to batch 8, the average loss is 5.51.
## The average loss for epoch 2 is 5.51 and mean absolute error is 1.90.
res = model |> evaluate(
mnist$test$x, mnist$test$y,
verbose = 0, batch_size = 128,
callbacks = list(callback_print_loss_and_mae())
)
## Up to batch 1, the average loss is 15.86.
## Up to batch 2, the average loss is 16.13.
## Up to batch 3, the average loss is 16.02.
## Up to batch 4, the average loss is 16.11.
## Up to batch 5, the average loss is 16.23.
## Up to batch 6, the average loss is 16.68.
## Up to batch 7, the average loss is 16.61.
## Up to batch 8, the average loss is 16.54.
For more information about callbacks, you can check out the Keras callback API documentation.
self$model
attributeIn addition to receiving log information when one of their methods is
called, callbacks have access to the model associated with the current
round of training/evaluation/inference: self$model
.
Here are of few of the things you can do with self$model
in a callback:
self$model$stop_training <- TRUE
to immediately
interrupt training.self$model$optimizer
), such as
self$model$optimizer$learning_rate
.model |> predict()
on a few
test samples at the end of each epoch, to use as a sanity check during
training.Let’s see this in action in a couple of examples.
This first example shows the creation of a Callback
that
stops training when the minimum of loss has been reached, by setting the
attribute self$model$stop_training
(boolean). Optionally,
you can provide an argument patience
to specify how many
epochs we should wait before stopping after having reached a local
minimum.
callback_early_stopping()
provides a more complete and
general implementation.
callback_early_stopping_at_min_loss <- Callback(
"EarlyStoppingAtMinLoss",
`__doc__` =
"Stop training when the loss is at its min, i.e. the loss stops decreasing.
Arguments:
patience: Number of epochs to wait after min has been hit. After this
number of no improvement, training stops.
",
initialize = function(patience = 0) {
super$initialize()
self$patience <- patience
# best_weights to store the weights at which the minimum loss occurs.
self$best_weights <- NULL
},
on_train_begin = function(logs = NULL) {
# The number of epoch it has waited when loss is no longer minimum.
self$wait <- 0
# The epoch the training stops at.
self$stopped_epoch <- 0
# Initialize the best as infinity.
self$best <- Inf
},
on_epoch_end = function(epoch, logs = NULL) {
current <- logs$loss
if (current < self$best) {
self$best <- current
self$wait <- 0L
# Record the best weights if current results is better (less).
self$best_weights <- get_weights(self$model)
} else {
add(self$wait) <- 1L
if (self$wait >= self$patience) {
self$stopped_epoch <- epoch
self$model$stop_training <- TRUE
cat("Restoring model weights from the end of the best epoch.\n")
model$set_weights(self$best_weights)
}
}
},
on_train_end = function(logs = NULL)
if (self$stopped_epoch > 0)
cat(sprintf("Epoch %05d: early stopping\n", self$stopped_epoch + 1))
)
`add<-` <- `+`
model <- get_model()
model |> fit(
mnist$train$x,
mnist$train$y,
epochs = 30,
batch_size = 64,
verbose = 0,
callbacks = list(callback_print_loss_and_mae(),
callback_early_stopping_at_min_loss())
)
## Up to batch 1, the average loss is 30.54.
## Up to batch 2, the average loss is 513.27.
## Up to batch 3, the average loss is 352.60.
## Up to batch 4, the average loss is 266.37.
## Up to batch 5, the average loss is 214.68.
## Up to batch 6, the average loss is 179.97.
## Up to batch 7, the average loss is 155.06.
## Up to batch 8, the average loss is 136.59.
## Up to batch 9, the average loss is 121.96.
## Up to batch 10, the average loss is 110.28.
## Up to batch 11, the average loss is 100.72.
## Up to batch 12, the average loss is 92.71.
## Up to batch 13, the average loss is 85.95.
## Up to batch 14, the average loss is 80.21.
## Up to batch 15, the average loss is 75.17.
## Up to batch 16, the average loss is 72.48.
## The average loss for epoch 1 is 72.48 and mean absolute error is 4.08.
## Up to batch 1, the average loss is 7.98.
## Up to batch 2, the average loss is 9.92.
## Up to batch 3, the average loss is 12.88.
## Up to batch 4, the average loss is 16.61.
## Up to batch 5, the average loss is 20.49.
## Up to batch 6, the average loss is 26.14.
## Up to batch 7, the average loss is 30.44.
## Up to batch 8, the average loss is 33.76.
## Up to batch 9, the average loss is 36.32.
## Up to batch 10, the average loss is 35.26.
## Up to batch 11, the average loss is 34.22.
## Up to batch 12, the average loss is 33.53.
## Up to batch 13, the average loss is 32.84.
## Up to batch 14, the average loss is 31.80.
## Up to batch 15, the average loss is 31.39.
## Up to batch 16, the average loss is 31.45.
## The average loss for epoch 2 is 31.45 and mean absolute error is 4.82.
## Up to batch 1, the average loss is 39.60.
## Up to batch 2, the average loss is 41.95.
## Up to batch 3, the average loss is 41.29.
## Up to batch 4, the average loss is 36.77.
## Up to batch 5, the average loss is 32.08.
## Up to batch 6, the average loss is 28.17.
## Up to batch 7, the average loss is 25.33.
## Up to batch 8, the average loss is 23.56.
## Up to batch 9, the average loss is 22.28.
## Up to batch 10, the average loss is 21.22.
## Up to batch 11, the average loss is 20.87.
## Up to batch 12, the average loss is 22.25.
## Up to batch 13, the average loss is 25.08.
## Up to batch 14, the average loss is 27.87.
## Up to batch 15, the average loss is 31.72.
## Up to batch 16, the average loss is 33.21.
## The average loss for epoch 3 is 33.21 and mean absolute error is 4.79.
## Restoring model weights from the end of the best epoch.
## Epoch 00004: early stopping
In this example, we show how a custom Callback can be used to dynamically change the learning rate of the optimizer during the course of training.
See keras$callbacks$LearningRateScheduler
for a more
general implementations (in RStudio, press F1 while the cursor is over
LearningRateScheduler
and a browser will open to this
page).
callback_custom_learning_rate_scheduler <- Callback(
"CustomLearningRateScheduler",
`__doc__` =
"Learning rate scheduler which sets the learning rate according to schedule.
Arguments:
schedule: a function that takes an epoch index
(integer, indexed from 0) and current learning rate
as inputs and returns a new learning rate as output (float).
",
initialize = function(schedule) {
super$initialize()
self$schedule <- schedule
},
on_epoch_begin = function(epoch, logs = NULL) {
## When in doubt about what types of objects are in scope (e.g., self$model)
## use a debugger to interact with the actual objects at the console!
# browser()
if (!"learning_rate" %in% names(self$model$optimizer))
stop('Optimizer must have a "learning_rate" attribute.')
# # Get the current learning rate from model's optimizer.
# use as.numeric() to convert the keras variablea to an R numeric
lr <- as.numeric(self$model$optimizer$learning_rate)
# # Call schedule function to get the scheduled learning rate.
scheduled_lr <- self$schedule(epoch, lr)
# # Set the value back to the optimizer before this epoch starts
optimizer <- self$model$optimizer
optimizer$learning_rate <- scheduled_lr
cat(sprintf("\nEpoch %03d: Learning rate is %6.4f.\n", epoch, scheduled_lr))
}
)
LR_SCHEDULE <- tibble::tribble(
~start_epoch, ~learning_rate,
0, 0.1,
3, 0.05,
6, 0.01,
9, 0.005,
12, 0.001,
)
last <- function(x) x[length(x)]
lr_schedule <- function(epoch, learning_rate) {
"Helper function to retrieve the scheduled learning rate based on epoch."
with(LR_SCHEDULE, learning_rate[last(which(epoch >= start_epoch))])
}
model <- get_model()
model |> fit(
mnist$train$x,
mnist$train$y,
epochs = 14,
batch_size = 64,
verbose = 0,
callbacks = list(
callback_print_loss_and_mae(),
callback_custom_learning_rate_scheduler(lr_schedule)
)
)
##
## Epoch 001: Learning rate is 0.1000.
## Up to batch 1, the average loss is 29.36.
## Up to batch 2, the average loss is 513.95.
## Up to batch 3, the average loss is 352.70.
## Up to batch 4, the average loss is 266.46.
## Up to batch 5, the average loss is 214.73.
## Up to batch 6, the average loss is 180.00.
## Up to batch 7, the average loss is 155.05.
## Up to batch 8, the average loss is 136.64.
## Up to batch 9, the average loss is 121.97.
## Up to batch 10, the average loss is 110.30.
## Up to batch 11, the average loss is 100.76.
## Up to batch 12, the average loss is 92.74.
## Up to batch 13, the average loss is 85.95.
## Up to batch 14, the average loss is 80.18.
## Up to batch 15, the average loss is 75.11.
## Up to batch 16, the average loss is 72.38.
## The average loss for epoch 1 is 72.38 and mean absolute error is 4.04.
##
## Epoch 002: Learning rate is 0.1000.
## Up to batch 1, the average loss is 6.95.
## Up to batch 2, the average loss is 8.71.
## Up to batch 3, the average loss is 11.42.
## Up to batch 4, the average loss is 15.15.
## Up to batch 5, the average loss is 19.28.
## Up to batch 6, the average loss is 25.54.
## Up to batch 7, the average loss is 30.38.
## Up to batch 8, the average loss is 33.95.
## Up to batch 9, the average loss is 36.58.
## Up to batch 10, the average loss is 35.46.
## Up to batch 11, the average loss is 34.34.
## Up to batch 12, the average loss is 33.51.
## Up to batch 13, the average loss is 32.67.
## Up to batch 14, the average loss is 31.54.
## Up to batch 15, the average loss is 31.05.
## Up to batch 16, the average loss is 31.09.
## The average loss for epoch 2 is 31.09 and mean absolute error is 4.77.
##
## Epoch 003: Learning rate is 0.0500.
## Up to batch 1, the average loss is 40.40.
## Up to batch 2, the average loss is 22.33.
## Up to batch 3, the average loss is 16.18.
## Up to batch 4, the average loss is 13.09.
## Up to batch 5, the average loss is 11.48.
## Up to batch 6, the average loss is 10.21.
## Up to batch 7, the average loss is 9.22.
## Up to batch 8, the average loss is 8.70.
## Up to batch 9, the average loss is 8.16.
## Up to batch 10, the average loss is 7.80.
## Up to batch 11, the average loss is 7.50.
## Up to batch 12, the average loss is 7.17.
## Up to batch 13, the average loss is 6.89.
## Up to batch 14, the average loss is 6.70.
## Up to batch 15, the average loss is 6.52.
## Up to batch 16, the average loss is 6.54.
## The average loss for epoch 3 is 6.54 and mean absolute error is 1.93.
##
## Epoch 004: Learning rate is 0.0500.
## Up to batch 1, the average loss is 8.74.
## Up to batch 2, the average loss is 8.34.
## Up to batch 3, the average loss is 9.09.
## Up to batch 4, the average loss is 9.72.
## Up to batch 5, the average loss is 10.48.
## Up to batch 6, the average loss is 11.69.
## Up to batch 7, the average loss is 11.83.
## Up to batch 8, the average loss is 11.56.
## Up to batch 9, the average loss is 11.24.
## Up to batch 10, the average loss is 10.84.
## Up to batch 11, the average loss is 10.66.
## Up to batch 12, the average loss is 10.44.
## Up to batch 13, the average loss is 10.21.
## Up to batch 14, the average loss is 10.06.
## Up to batch 15, the average loss is 10.00.
## Up to batch 16, the average loss is 10.20.
## The average loss for epoch 4 is 10.20 and mean absolute error is 2.71.
##
## Epoch 005: Learning rate is 0.0500.
## Up to batch 1, the average loss is 17.26.
## Up to batch 2, the average loss is 14.09.
## Up to batch 3, the average loss is 12.67.
## Up to batch 4, the average loss is 11.44.
## Up to batch 5, the average loss is 10.54.
## Up to batch 6, the average loss is 10.10.
## Up to batch 7, the average loss is 9.53.
## Up to batch 8, the average loss is 9.17.
## Up to batch 9, the average loss is 8.78.
## Up to batch 10, the average loss is 8.49.
## Up to batch 11, the average loss is 8.50.
## Up to batch 12, the average loss is 8.59.
## Up to batch 13, the average loss is 8.68.
## Up to batch 14, the average loss is 8.86.
## Up to batch 15, the average loss is 9.17.
## Up to batch 16, the average loss is 9.53.
## The average loss for epoch 5 is 9.53 and mean absolute error is 2.58.
##
## Epoch 006: Learning rate is 0.0100.
## Up to batch 1, the average loss is 17.04.
## Up to batch 2, the average loss is 14.85.
## Up to batch 3, the average loss is 11.53.
## Up to batch 4, the average loss is 9.65.
## Up to batch 5, the average loss is 8.44.
## Up to batch 6, the average loss is 7.50.
## Up to batch 7, the average loss is 6.74.
## Up to batch 8, the average loss is 6.56.
## Up to batch 9, the average loss is 6.18.
## Up to batch 10, the average loss is 5.87.
## Up to batch 11, the average loss is 5.63.
## Up to batch 12, the average loss is 5.45.
## Up to batch 13, the average loss is 5.23.
## Up to batch 14, the average loss is 5.12.
## Up to batch 15, the average loss is 4.96.
## Up to batch 16, the average loss is 4.91.
## The average loss for epoch 6 is 4.91 and mean absolute error is 1.67.
##
## Epoch 007: Learning rate is 0.0100.
## Up to batch 1, the average loss is 3.65.
## Up to batch 2, the average loss is 3.04.
## Up to batch 3, the average loss is 2.88.
## Up to batch 4, the average loss is 2.85.
## Up to batch 5, the average loss is 2.88.
## Up to batch 6, the average loss is 2.81.
## Up to batch 7, the average loss is 2.70.
## Up to batch 8, the average loss is 2.96.
## Up to batch 9, the average loss is 2.96.
## Up to batch 10, the average loss is 2.93.
## Up to batch 11, the average loss is 2.95.
## Up to batch 12, the average loss is 2.98.
## Up to batch 13, the average loss is 2.97.
## Up to batch 14, the average loss is 3.01.
## Up to batch 15, the average loss is 3.00.
## Up to batch 16, the average loss is 3.05.
## The average loss for epoch 7 is 3.05 and mean absolute error is 1.34.
##
## Epoch 008: Learning rate is 0.0100.
## Up to batch 1, the average loss is 3.69.
## Up to batch 2, the average loss is 3.21.
## Up to batch 3, the average loss is 3.00.
## Up to batch 4, the average loss is 2.91.
## Up to batch 5, the average loss is 2.94.
## Up to batch 6, the average loss is 2.85.
## Up to batch 7, the average loss is 2.72.
## Up to batch 8, the average loss is 2.95.
## Up to batch 9, the average loss is 2.97.
## Up to batch 10, the average loss is 2.93.
## Up to batch 11, the average loss is 2.96.
## Up to batch 12, the average loss is 2.98.
## Up to batch 13, the average loss is 2.99.
## Up to batch 14, the average loss is 3.05.
## Up to batch 15, the average loss is 3.08.
## Up to batch 16, the average loss is 3.14.
## The average loss for epoch 8 is 3.14 and mean absolute error is 1.36.
##
## Epoch 009: Learning rate is 0.0050.
## Up to batch 1, the average loss is 3.71.
## Up to batch 2, the average loss is 2.93.
## Up to batch 3, the average loss is 2.76.
## Up to batch 4, the average loss is 2.70.
## Up to batch 5, the average loss is 2.76.
## Up to batch 6, the average loss is 2.69.
## Up to batch 7, the average loss is 2.57.
## Up to batch 8, the average loss is 2.79.
## Up to batch 9, the average loss is 2.80.
## Up to batch 10, the average loss is 2.77.
## Up to batch 11, the average loss is 2.79.
## Up to batch 12, the average loss is 2.80.
## Up to batch 13, the average loss is 2.78.
## Up to batch 14, the average loss is 2.81.
## Up to batch 15, the average loss is 2.80.
## Up to batch 16, the average loss is 2.83.
## The average loss for epoch 9 is 2.83 and mean absolute error is 1.28.
##
## Epoch 010: Learning rate is 0.0050.
## Up to batch 1, the average loss is 3.02.
## Up to batch 2, the average loss is 2.69.
## Up to batch 3, the average loss is 2.58.
## Up to batch 4, the average loss is 2.57.
## Up to batch 5, the average loss is 2.65.
## Up to batch 6, the average loss is 2.60.
## Up to batch 7, the average loss is 2.48.
## Up to batch 8, the average loss is 2.72.
## Up to batch 9, the average loss is 2.74.
## Up to batch 10, the average loss is 2.71.
## Up to batch 11, the average loss is 2.74.
## Up to batch 12, the average loss is 2.75.
## Up to batch 13, the average loss is 2.74.
## Up to batch 14, the average loss is 2.77.
## Up to batch 15, the average loss is 2.77.
## Up to batch 16, the average loss is 2.80.
## The average loss for epoch 10 is 2.80 and mean absolute error is 1.27.
##
## Epoch 011: Learning rate is 0.0050.
## Up to batch 1, the average loss is 3.01.
## Up to batch 2, the average loss is 2.69.
## Up to batch 3, the average loss is 2.58.
## Up to batch 4, the average loss is 2.56.
## Up to batch 5, the average loss is 2.63.
## Up to batch 6, the average loss is 2.58.
## Up to batch 7, the average loss is 2.47.
## Up to batch 8, the average loss is 2.70.
## Up to batch 9, the average loss is 2.72.
## Up to batch 10, the average loss is 2.69.
## Up to batch 11, the average loss is 2.71.
## Up to batch 12, the average loss is 2.72.
## Up to batch 13, the average loss is 2.71.
## Up to batch 14, the average loss is 2.75.
## Up to batch 15, the average loss is 2.74.
## Up to batch 16, the average loss is 2.77.
## The average loss for epoch 11 is 2.77 and mean absolute error is 1.27.
##
## Epoch 012: Learning rate is 0.0010.
## Up to batch 1, the average loss is 2.96.
## Up to batch 2, the average loss is 2.53.
## Up to batch 3, the average loss is 2.47.
## Up to batch 4, the average loss is 2.46.
## Up to batch 5, the average loss is 2.54.
## Up to batch 6, the average loss is 2.48.
## Up to batch 7, the average loss is 2.39.
## Up to batch 8, the average loss is 2.60.
## Up to batch 9, the average loss is 2.62.
## Up to batch 10, the average loss is 2.59.
## Up to batch 11, the average loss is 2.61.
## Up to batch 12, the average loss is 2.62.
## Up to batch 13, the average loss is 2.60.
## Up to batch 14, the average loss is 2.64.
## Up to batch 15, the average loss is 2.62.
## Up to batch 16, the average loss is 2.64.
## The average loss for epoch 12 is 2.64 and mean absolute error is 1.24.
##
## Epoch 013: Learning rate is 0.0010.
## Up to batch 1, the average loss is 2.82.
## Up to batch 2, the average loss is 2.46.
## Up to batch 3, the average loss is 2.42.
## Up to batch 4, the average loss is 2.42.
## Up to batch 5, the average loss is 2.50.
## Up to batch 6, the average loss is 2.45.
## Up to batch 7, the average loss is 2.36.
## Up to batch 8, the average loss is 2.57.
## Up to batch 9, the average loss is 2.59.
## Up to batch 10, the average loss is 2.57.
## Up to batch 11, the average loss is 2.59.
## Up to batch 12, the average loss is 2.60.
## Up to batch 13, the average loss is 2.59.
## Up to batch 14, the average loss is 2.62.
## Up to batch 15, the average loss is 2.61.
## Up to batch 16, the average loss is 2.63.
## The average loss for epoch 13 is 2.63 and mean absolute error is 1.23.
##
## Epoch 014: Learning rate is 0.0010.
## Up to batch 1, the average loss is 2.79.
## Up to batch 2, the average loss is 2.44.
## Up to batch 3, the average loss is 2.40.
## Up to batch 4, the average loss is 2.41.
## Up to batch 5, the average loss is 2.49.
## Up to batch 6, the average loss is 2.44.
## Up to batch 7, the average loss is 2.34.
## Up to batch 8, the average loss is 2.56.
## Up to batch 9, the average loss is 2.58.
## Up to batch 10, the average loss is 2.56.
## Up to batch 11, the average loss is 2.58.
## Up to batch 12, the average loss is 2.59.
## Up to batch 13, the average loss is 2.58.
## Up to batch 14, the average loss is 2.61.
## Up to batch 15, the average loss is 2.60.
## Up to batch 16, the average loss is 2.62.
## The average loss for epoch 14 is 2.62 and mean absolute error is 1.23.
Be sure to check out the existing Keras callbacks by reading the API docs. Applications include logging to CSV, saving the model, visualizing metrics in TensorBoard, and a lot more!