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"""Functions for computing metrics like precision, recall, CorLoc and etc.""" |
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from __future__ import division |
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import numpy as np |
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def compute_precision_recall(scores, labels, num_gt): |
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"""Compute precision and recall. |
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Args: |
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scores: A float numpy array representing detection score |
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labels: A boolean numpy array representing true/false positive labels |
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num_gt: Number of ground truth instances |
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Raises: |
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ValueError: if the input is not of the correct format |
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Returns: |
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precision: Fraction of positive instances over detected ones. This value is |
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None if no ground truth labels are present. |
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recall: Fraction of detected positive instance over all positive instances. |
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This value is None if no ground truth labels are present. |
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""" |
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if ( |
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not isinstance(labels, np.ndarray) |
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or labels.dtype != np.bool |
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or len(labels.shape) != 1 |
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): |
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raise ValueError("labels must be single dimension bool numpy array") |
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if not isinstance(scores, np.ndarray) or len(scores.shape) != 1: |
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raise ValueError("scores must be single dimension numpy array") |
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if num_gt < np.sum(labels): |
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raise ValueError( |
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"Number of true positives must be smaller than num_gt." |
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) |
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if len(scores) != len(labels): |
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raise ValueError("scores and labels must be of the same size.") |
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if num_gt == 0: |
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return None, None |
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sorted_indices = np.argsort(scores) |
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sorted_indices = sorted_indices[::-1] |
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labels = labels.astype(int) |
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true_positive_labels = labels[sorted_indices] |
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false_positive_labels = 1 - true_positive_labels |
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cum_true_positives = np.cumsum(true_positive_labels) |
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cum_false_positives = np.cumsum(false_positive_labels) |
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precision = cum_true_positives.astype(float) / ( |
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cum_true_positives + cum_false_positives |
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) |
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recall = cum_true_positives.astype(float) / num_gt |
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return precision, recall |
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def compute_average_precision(precision, recall): |
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"""Compute Average Precision according to the definition in VOCdevkit. |
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Precision is modified to ensure that it does not decrease as recall |
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decrease. |
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Args: |
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precision: A float [N, 1] numpy array of precisions |
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recall: A float [N, 1] numpy array of recalls |
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Raises: |
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ValueError: if the input is not of the correct format |
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Returns: |
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average_precison: The area under the precision recall curve. NaN if |
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precision and recall are None. |
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""" |
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if precision is None: |
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if recall is not None: |
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raise ValueError("If precision is None, recall must also be None") |
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return np.NAN |
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if not isinstance(precision, np.ndarray) or not isinstance( |
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recall, np.ndarray |
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): |
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raise ValueError("precision and recall must be numpy array") |
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if precision.dtype != np.float or recall.dtype != np.float: |
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raise ValueError("input must be float numpy array.") |
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if len(precision) != len(recall): |
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raise ValueError("precision and recall must be of the same size.") |
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if not precision.size: |
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return 0.0 |
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if np.amin(precision) < 0 or np.amax(precision) > 1: |
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raise ValueError("Precision must be in the range of [0, 1].") |
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if np.amin(recall) < 0 or np.amax(recall) > 1: |
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raise ValueError("recall must be in the range of [0, 1].") |
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if not all(recall[i] <= recall[i + 1] for i in range(len(recall) - 1)): |
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raise ValueError("recall must be a non-decreasing array") |
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recall = np.concatenate([[0], recall, [1]]) |
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precision = np.concatenate([[0], precision, [0]]) |
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for i in range(len(precision) - 2, -1, -1): |
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precision[i] = np.maximum(precision[i], precision[i + 1]) |
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indices = np.where(recall[1:] != recall[:-1])[0] + 1 |
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average_precision = np.sum( |
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(recall[indices] - recall[indices - 1]) * precision[indices] |
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) |
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return average_precision |
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def compute_cor_loc( |
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num_gt_imgs_per_class, num_images_correctly_detected_per_class |
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): |
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"""Compute CorLoc according to the definition in the following paper. |
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https://www.robots.ox.ac.uk/~vgg/rg/papers/deselaers-eccv10.pdf |
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Returns nans if there are no ground truth images for a class. |
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Args: |
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num_gt_imgs_per_class: 1D array, representing number of images containing |
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at least one object instance of a particular class |
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num_images_correctly_detected_per_class: 1D array, representing number of |
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images that are correctly detected at least one object instance of a |
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particular class |
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Returns: |
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corloc_per_class: A float numpy array represents the corloc score of each |
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class |
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""" |
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with np.errstate(divide="ignore", invalid="ignore"): |
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return np.where( |
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num_gt_imgs_per_class == 0, |
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np.nan, |
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num_images_correctly_detected_per_class / num_gt_imgs_per_class, |
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) |
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