Approximates the AUC (Area under the curve) of the ROC or PR curves
metric_auc(
...,
num_thresholds = 200L,
curve = "ROC",
summation_method = "interpolation",
thresholds = NULL,
multi_label = FALSE,
num_labels = NULL,
label_weights = NULL,
from_logits = FALSE,
name = NULL,
dtype = NULL
)
A (subclassed) Metric
instance that can be passed directly to
compile(metrics = )
, or used as a standalone object. See ?Metric
for
example usage.
Passed on to the underlying metric. Used for forwards and backwards compatibility.
(Optional) Defaults to 200. The number of thresholds toa use when discretizing the roc curve. Values must be > 1.
(Optional) Specifies the name of the curve to be computed, 'ROC' (default) or 'PR' for the Precision-Recall-curve.
(Optional) Specifies the Riemann summation method used. 'interpolation' (default)
applies mid-point summation scheme for ROC
. For PR-AUC, interpolates
(true/false) positives but not the ratio that is precision (see Davis &
Goadrich 2006 for details); 'minoring' applies left summation for
increasing intervals and right summation for decreasing intervals;
'majoring' does the opposite.
(Optional) A list of floating point values to use as the
thresholds for discretizing the curve. If set, the num_thresholds
parameter is ignored. Values should be in [0, 1]
. Endpoint thresholds equal
to -epsilon, 1+epsilon for a small positive epsilon value will be
automatically included with these to correctly handle predictions equal to
exactly 0 or 1.
boolean indicating whether multilabel data should be treated as such, wherein AUC is computed separately for each label and then averaged across labels, or (when FALSE) if the data should be flattened into a single label before AUC computation. In the latter case, when multilabel data is passed to AUC, each label-prediction pair is treated as an individual data point. Should be set to FALSE for multi-class data.
(Optional) The number of labels, used when multi_label
is
TRUE. If num_labels
is not specified, then state variables get created on
the first call to update_state
.
(Optional) list, array, or tensor of non-negative
weights used to compute AUCs for multilabel data. When multi_label
is
TRUE, the weights are applied to the individual label AUCs when they are
averaged to produce the multi-label AUC. When it's FALSE, they are used to
weight the individual label predictions in computing the confusion matrix
on the flattened data. Note that this is unlike class_weights in that
class_weights weights the example depending on the value of its label,
whereas label_weights depends only on the index of that label before
flattening; therefore label_weights
should not be used for multi-class
data.
boolean indicating whether the predictions (y_pred
in
update_state
) are probabilities or sigmoid logits. As a rule of thumb,
when using a keras loss, the from_logits
constructor argument of the loss
should match the AUC from_logits
constructor argument.
(Optional) string name of the metric instance.
(Optional) data type of the metric result.
The AUC (Area under the curve) of the ROC (Receiver operating characteristic; default) or PR (Precision Recall) curves are quality measures of binary classifiers. Unlike the accuracy, and like cross-entropy losses, ROC-AUC and PR-AUC evaluate all the operational points of a model.
This class approximates AUCs using a Riemann sum. During the metric accumulation phrase, predictions are accumulated within predefined buckets by value. The AUC is then computed by interpolating per-bucket averages. These buckets define the evaluated operational points.
This metric creates four local variables, true_positives
, true_negatives
,
false_positives
and false_negatives
that are used to compute the AUC. To
discretize the AUC curve, a linearly spaced set of thresholds is used to
compute pairs of recall and precision values. The area under the ROC-curve is
therefore computed using the height of the recall values by the false
positive rate, while the area under the PR-curve is the computed using the
height of the precision values by the recall.
This value is ultimately returned as auc
, an idempotent operation that
computes the area under a discretized curve of precision versus recall values
(computed using the aforementioned variables). The num_thresholds
variable
controls the degree of discretization with larger numbers of thresholds more
closely approximating the true AUC. The quality of the approximation may vary
dramatically depending on num_thresholds
. The thresholds
parameter can be
used to manually specify thresholds which split the predictions more evenly.
For a best approximation of the real AUC, predictions
should be distributed
approximately uniformly in the range [0, 1]
(if from_logits=FALSE
). The
quality of the AUC approximation may be poor if this is not the case. Setting
summation_method
to 'minoring' or 'majoring' can help quantify the error in
the approximation by providing lower or upper bound estimate of the AUC.
If sample_weight
is NULL
, weights default to 1. Use sample_weight
of 0
to mask values.
Other metrics:
custom_metric()
,
metric_accuracy()
,
metric_binary_accuracy()
,
metric_binary_crossentropy()
,
metric_categorical_accuracy()
,
metric_categorical_crossentropy()
,
metric_categorical_hinge()
,
metric_cosine_similarity()
,
metric_false_negatives()
,
metric_false_positives()
,
metric_hinge()
,
metric_kullback_leibler_divergence()
,
metric_logcosh_error()
,
metric_mean_absolute_error()
,
metric_mean_absolute_percentage_error()
,
metric_mean_iou()
,
metric_mean_relative_error()
,
metric_mean_squared_error()
,
metric_mean_squared_logarithmic_error()
,
metric_mean_tensor()
,
metric_mean_wrapper()
,
metric_mean()
,
metric_poisson()
,
metric_precision_at_recall()
,
metric_precision()
,
metric_recall_at_precision()
,
metric_recall()
,
metric_root_mean_squared_error()
,
metric_sensitivity_at_specificity()
,
metric_sparse_categorical_accuracy()
,
metric_sparse_categorical_crossentropy()
,
metric_sparse_top_k_categorical_accuracy()
,
metric_specificity_at_sensitivity()
,
metric_squared_hinge()
,
metric_sum()
,
metric_top_k_categorical_accuracy()
,
metric_true_negatives()
,
metric_true_positives()