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/*
 * Copyright (c) 2010-2024 Haifeng Li. All rights reserved.
 *
 * Smile is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * Smile is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with Smile.  If not, see .
 */
package smile.deep.metric;

import smile.deep.tensor.Tensor;

/**
 * Recall or true positive rate (TPR) (also called hit rate, sensitivity) is
 * a statistical measures of the performance of a binary classification test.
 * Recall is the proportion of actual positives which are correctly identified
 * as such.
 * 
 *     TPR = TP / P = TP / (TP + FN)
 * 
* Recall and precision are closely related to the concepts of type I and * type II errors. For any test, there is usually a trade-off between the * measures. This trade-off can be represented graphically using an ROC curve. *

* In this implementation, the class label 1 is regarded as positive and 0 * is regarded as negative. * * @author Haifeng Li */ public class Recall implements Metric { /** The aggregating strategy for multi-classes. */ final Averaging strategy; /** The threshold for converting input into binary labels. */ final double threshold; /** True positive. */ Tensor tp; /** Sample size per class. */ Tensor size; /** * Constructor. */ public Recall() { this(0.5); } /** * Constructor. * @param threshold The threshold for converting input into binary labels. */ public Recall(double threshold) { this.strategy = null; this.threshold = threshold; } /** * Constructor. * @param strategy The aggregating strategy for multi-classes. */ public Recall(Averaging strategy) { this.strategy = strategy; this.threshold = 0.5; } @Override public String toString() { return String.format("%s = %.2f", name(), 100 * compute()); } @Override public String name() { return strategy == null ? "Recall" : strategy + "-Recall"; } @Override public void update(Tensor output, Tensor target) { long numClasses = output.dim() == 2 ? output.size(1) : 2; if (numClasses > 2 && strategy == null) { throw new IllegalArgumentException("Averaging strategy is null for multi-class"); } if (this.tp == null) { long length = strategy == Averaging.Macro || strategy == Averaging.Weighted ? numClasses : 1; this.tp = output.newZeros(length); this.size = output.newZeros(numClasses); } Tensor prediction = output.dim() == 2 ? output.argmax(1, false) : // get the index of the max log-probability Tensor.where(output.lt(threshold), 0, 1); // get class label by thresholding Tensor tp; Tensor one = target.newOnes(target.size(0)); Tensor size = target.newZeros(numClasses).scatterReduce_(0, target, one, "sum"); if (strategy == null) { tp = prediction.mul(target).sum(); } else { Tensor eq = prediction.eq(target); if (strategy == Averaging.Micro) { tp = prediction.eq(target).sum(); } else { tp = target.newZeros(numClasses).scatterReduce_(0, target.get(eq), one, "sum"); } } this.tp.add_(tp); this.size.add_(size); } @Override public double compute() { Tensor recall; if (tp.size(0) == 1) { recall = strategy == null ? tp.div(size.getLong(1)) : tp.div(size.sum()); } else { recall = tp.div(size); } if (strategy == Averaging.Macro) { recall = recall.mean(); } else if (strategy == Averaging.Weighted) { recall = recall.mul(size).sum().div(size.sum()); } return recall.doubleValue(); } @Override public void reset() { if (tp != null) { tp.fill_(0); size.fill_(0); } } }





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