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//! # Metric functions
//!
//! One way to build machine learning models is to use a constructive feedback loop through model evaluation.
//! In a feedback loop you build your model first, then you get feedback from metrics, improve it and repeat until your model achieve desirable performance.
//! Evaluation metrics helps to explain the performance of a model and compare models based on an objective criterion.
//!
//! Choosing the right metric is crucial while evaluating machine learning models. In SmartCore you will find metrics for these classes of ML models:
//!
//! * [Classification metrics](struct.ClassificationMetrics.html)
//! * [Regression metrics](struct.RegressionMetrics.html)
//! * [Clustering metrics](struct.ClusterMetrics.html)
//!
//! Example:
//! ```
//! use smartcore::linalg::naive::dense_matrix::*;
//! use smartcore::linear::logistic_regression::LogisticRegression;
//! use smartcore::metrics::*;
//!
//! let x = DenseMatrix::from_2d_array(&[
//! &[5.1, 3.5, 1.4, 0.2],
//! &[4.9, 3.0, 1.4, 0.2],
//! &[4.7, 3.2, 1.3, 0.2],
//! &[4.6, 3.1, 1.5, 0.2],
//! &[5.0, 3.6, 1.4, 0.2],
//! &[5.4, 3.9, 1.7, 0.4],
//! &[4.6, 3.4, 1.4, 0.3],
//! &[5.0, 3.4, 1.5, 0.2],
//! &[4.4, 2.9, 1.4, 0.2],
//! &[4.9, 3.1, 1.5, 0.1],
//! &[7.0, 3.2, 4.7, 1.4],
//! &[6.4, 3.2, 4.5, 1.5],
//! &[6.9, 3.1, 4.9, 1.5],
//! &[5.5, 2.3, 4.0, 1.3],
//! &[6.5, 2.8, 4.6, 1.5],
//! &[5.7, 2.8, 4.5, 1.3],
//! &[6.3, 3.3, 4.7, 1.6],
//! &[4.9, 2.4, 3.3, 1.0],
//! &[6.6, 2.9, 4.6, 1.3],
//! &[5.2, 2.7, 3.9, 1.4],
//! ]);
//! let y: Vec<f64> = vec![
//! 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.,
//! ];
//!
//! let lr = LogisticRegression::fit(&x, &y, Default::default()).unwrap();
//!
//! let y_hat = lr.predict(&x).unwrap();
//!
//! let acc = ClassificationMetrics::accuracy().get_score(&y, &y_hat);
//! // or
//! let acc = accuracy(&y, &y_hat);
//! ```
/// Accuracy score.
/// Computes Area Under the Receiver Operating Characteristic Curve (ROC AUC) from prediction scores.
/// Compute the homogeneity, completeness and V-Measure scores.
pub
/// F1 score, also known as balanced F-score or F-measure.
/// Mean absolute error regression loss.
/// Mean squared error regression loss.
/// Computes the precision.
/// Coefficient of determination (R2).
/// Computes the recall.
use crateBaseVector;
use crateRealNumber;
/// Use these metrics to compare classification models.
/// Metrics for regression models.
/// Cluster metrics.
/// Function that calculated accuracy score, see [accuracy](accuracy/index.html).
/// * `y_true` - cround truth (correct) labels
/// * `y_pred` - predicted labels, as returned by a classifier.
/// Calculated recall score, see [recall](recall/index.html)
/// * `y_true` - cround truth (correct) labels.
/// * `y_pred` - predicted labels, as returned by a classifier.
/// Calculated precision score, see [precision](precision/index.html).
/// * `y_true` - cround truth (correct) labels.
/// * `y_pred` - predicted labels, as returned by a classifier.
/// Computes F1 score, see [F1](f1/index.html).
/// * `y_true` - cround truth (correct) labels.
/// * `y_pred` - predicted labels, as returned by a classifier.
/// AUC score, see [AUC](auc/index.html).
/// * `y_true` - cround truth (correct) labels.
/// * `y_pred_probabilities` - probability estimates, as returned by a classifier.
/// Computes mean squared error, see [mean squared error](mean_squared_error/index.html).
/// * `y_true` - Ground truth (correct) target values.
/// * `y_pred` - Estimated target values.
/// Computes mean absolute error, see [mean absolute error](mean_absolute_error/index.html).
/// * `y_true` - Ground truth (correct) target values.
/// * `y_pred` - Estimated target values.
/// Computes R2 score, see [R2](r2/index.html).
/// * `y_true` - Ground truth (correct) target values.
/// * `y_pred` - Estimated target values.
/// Homogeneity metric of a cluster labeling given a ground truth (range is between 0.0 and 1.0).
/// A cluster result satisfies homogeneity if all of its clusters contain only data points which are members of a single class.
/// * `labels_true` - ground truth class labels to be used as a reference.
/// * `labels_pred` - cluster labels to evaluate.
///
/// Completeness metric of a cluster labeling given a ground truth (range is between 0.0 and 1.0).
/// * `labels_true` - ground truth class labels to be used as a reference.
/// * `labels_pred` - cluster labels to evaluate.
/// The harmonic mean between homogeneity and completeness.
/// * `labels_true` - ground truth class labels to be used as a reference.
/// * `labels_pred` - cluster labels to evaluate.