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Upload metrics.py

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  1. utils/metrics.py +223 -0
utils/metrics.py ADDED
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+ # Model validation metrics
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+
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+ from pathlib import Path
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+
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+ import matplotlib.pyplot as plt
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+ import numpy as np
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+ import torch
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+
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+ from . import general
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+
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+
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+ def fitness(x):
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+ # Model fitness as a weighted combination of metrics
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+ w = [0.0, 0.0, 0.1, 0.9] # weights for [P, R, mAP@0.5, mAP@0.5:0.95]
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+ return (x[:, :4] * w).sum(1)
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+
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+
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+ def ap_per_class(tp, conf, pred_cls, target_cls, plot=False, save_dir='.', names=()):
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+ """ Compute the average precision, given the recall and precision curves.
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+ Source: https://github.com/rafaelpadilla/Object-Detection-Metrics.
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+ # Arguments
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+ tp: True positives (nparray, nx1 or nx10).
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+ conf: Objectness value from 0-1 (nparray).
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+ pred_cls: Predicted object classes (nparray).
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+ target_cls: True object classes (nparray).
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+ plot: Plot precision-recall curve at mAP@0.5
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+ save_dir: Plot save directory
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+ # Returns
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+ The average precision as computed in py-faster-rcnn.
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+ """
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+
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+ # Sort by objectness
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+ i = np.argsort(-conf)
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+ tp, conf, pred_cls = tp[i], conf[i], pred_cls[i]
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+
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+ # Find unique classes
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+ unique_classes = np.unique(target_cls)
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+ nc = unique_classes.shape[0] # number of classes, number of detections
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+
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+ # Create Precision-Recall curve and compute AP for each class
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+ px, py = np.linspace(0, 1, 1000), [] # for plotting
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+ ap, p, r = np.zeros((nc, tp.shape[1])), np.zeros((nc, 1000)), np.zeros((nc, 1000))
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+ for ci, c in enumerate(unique_classes):
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+ i = pred_cls == c
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+ n_l = (target_cls == c).sum() # number of labels
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+ n_p = i.sum() # number of predictions
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+
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+ if n_p == 0 or n_l == 0:
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+ continue
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+ else:
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+ # Accumulate FPs and TPs
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+ fpc = (1 - tp[i]).cumsum(0)
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+ tpc = tp[i].cumsum(0)
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+
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+ # Recall
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+ recall = tpc / (n_l + 1e-16) # recall curve
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+ r[ci] = np.interp(-px, -conf[i], recall[:, 0], left=0) # negative x, xp because xp decreases
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+
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+ # Precision
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+ precision = tpc / (tpc + fpc) # precision curve
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+ p[ci] = np.interp(-px, -conf[i], precision[:, 0], left=1) # p at pr_score
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+
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+ # AP from recall-precision curve
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+ for j in range(tp.shape[1]):
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+ ap[ci, j], mpre, mrec = compute_ap(recall[:, j], precision[:, j])
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+ if plot and j == 0:
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+ py.append(np.interp(px, mrec, mpre)) # precision at mAP@0.5
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+
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+ # Compute F1 (harmonic mean of precision and recall)
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+ f1 = 2 * p * r / (p + r + 1e-16)
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+ if plot:
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+ plot_pr_curve(px, py, ap, Path(save_dir) / 'PR_curve.png', names)
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+ plot_mc_curve(px, f1, Path(save_dir) / 'F1_curve.png', names, ylabel='F1')
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+ plot_mc_curve(px, p, Path(save_dir) / 'P_curve.png', names, ylabel='Precision')
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+ plot_mc_curve(px, r, Path(save_dir) / 'R_curve.png', names, ylabel='Recall')
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+
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+ i = f1.mean(0).argmax() # max F1 index
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+ return p[:, i], r[:, i], ap, f1[:, i], unique_classes.astype('int32')
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+
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+
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+ def compute_ap(recall, precision):
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+ """ Compute the average precision, given the recall and precision curves
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+ # Arguments
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+ recall: The recall curve (list)
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+ precision: The precision curve (list)
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+ # Returns
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+ Average precision, precision curve, recall curve
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+ """
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+
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+ # Append sentinel values to beginning and end
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+ mrec = np.concatenate(([0.], recall, [recall[-1] + 0.01]))
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+ mpre = np.concatenate(([1.], precision, [0.]))
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+
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+ # Compute the precision envelope
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+ mpre = np.flip(np.maximum.accumulate(np.flip(mpre)))
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+
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+ # Integrate area under curve
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+ method = 'interp' # methods: 'continuous', 'interp'
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+ if method == 'interp':
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+ x = np.linspace(0, 1, 101) # 101-point interp (COCO)
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+ ap = np.trapz(np.interp(x, mrec, mpre), x) # integrate
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+ else: # 'continuous'
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+ i = np.where(mrec[1:] != mrec[:-1])[0] # points where x axis (recall) changes
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+ ap = np.sum((mrec[i + 1] - mrec[i]) * mpre[i + 1]) # area under curve
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+
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+ return ap, mpre, mrec
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+
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+
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+ class ConfusionMatrix:
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+ # Updated version of https://github.com/kaanakan/object_detection_confusion_matrix
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+ def __init__(self, nc, conf=0.25, iou_thres=0.45):
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+ self.matrix = np.zeros((nc + 1, nc + 1))
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+ self.nc = nc # number of classes
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+ self.conf = conf
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+ self.iou_thres = iou_thres
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+
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+ def process_batch(self, detections, labels):
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+ """
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+ Return intersection-over-union (Jaccard index) of boxes.
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+ Both sets of boxes are expected to be in (x1, y1, x2, y2) format.
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+ Arguments:
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+ detections (Array[N, 6]), x1, y1, x2, y2, conf, class
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+ labels (Array[M, 5]), class, x1, y1, x2, y2
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+ Returns:
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+ None, updates confusion matrix accordingly
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+ """
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+ detections = detections[detections[:, 4] > self.conf]
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+ gt_classes = labels[:, 0].int()
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+ detection_classes = detections[:, 5].int()
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+ iou = general.box_iou(labels[:, 1:], detections[:, :4])
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+
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+ x = torch.where(iou > self.iou_thres)
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+ if x[0].shape[0]:
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+ matches = torch.cat((torch.stack(x, 1), iou[x[0], x[1]][:, None]), 1).cpu().numpy()
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+ if x[0].shape[0] > 1:
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+ matches = matches[matches[:, 2].argsort()[::-1]]
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+ matches = matches[np.unique(matches[:, 1], return_index=True)[1]]
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+ matches = matches[matches[:, 2].argsort()[::-1]]
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+ matches = matches[np.unique(matches[:, 0], return_index=True)[1]]
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+ else:
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+ matches = np.zeros((0, 3))
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+
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+ n = matches.shape[0] > 0
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+ m0, m1, _ = matches.transpose().astype(np.int16)
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+ for i, gc in enumerate(gt_classes):
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+ j = m0 == i
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+ if n and sum(j) == 1:
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+ self.matrix[gc, detection_classes[m1[j]]] += 1 # correct
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+ else:
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+ self.matrix[self.nc, gc] += 1 # background FP
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+
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+ if n:
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+ for i, dc in enumerate(detection_classes):
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+ if not any(m1 == i):
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+ self.matrix[dc, self.nc] += 1 # background FN
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+
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+ def matrix(self):
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+ return self.matrix
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+
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+ def plot(self, save_dir='', names=()):
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+ try:
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+ import seaborn as sn
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+
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+ array = self.matrix / (self.matrix.sum(0).reshape(1, self.nc + 1) + 1E-6) # normalize
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+ array[array < 0.005] = np.nan # don't annotate (would appear as 0.00)
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+
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+ fig = plt.figure(figsize=(12, 9), tight_layout=True)
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+ sn.set(font_scale=1.0 if self.nc < 50 else 0.8) # for label size
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+ labels = (0 < len(names) < 99) and len(names) == self.nc # apply names to ticklabels
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+ sn.heatmap(array, annot=self.nc < 30, annot_kws={"size": 8}, cmap='Blues', fmt='.2f', square=True,
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+ xticklabels=names + ['background FP'] if labels else "auto",
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+ yticklabels=names + ['background FN'] if labels else "auto").set_facecolor((1, 1, 1))
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+ fig.axes[0].set_xlabel('True')
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+ fig.axes[0].set_ylabel('Predicted')
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+ fig.savefig(Path(save_dir) / 'confusion_matrix.png', dpi=250)
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+ except Exception as e:
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+ pass
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+
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+ def print(self):
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+ for i in range(self.nc + 1):
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+ print(' '.join(map(str, self.matrix[i])))
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+
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+
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+ # Plots ----------------------------------------------------------------------------------------------------------------
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+
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+ def plot_pr_curve(px, py, ap, save_dir='pr_curve.png', names=()):
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+ # Precision-recall curve
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+ fig, ax = plt.subplots(1, 1, figsize=(9, 6), tight_layout=True)
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+ py = np.stack(py, axis=1)
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+
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+ if 0 < len(names) < 21: # display per-class legend if < 21 classes
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+ for i, y in enumerate(py.T):
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+ ax.plot(px, y, linewidth=1, label=f'{names[i]} {ap[i, 0]:.3f}') # plot(recall, precision)
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+ else:
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+ ax.plot(px, py, linewidth=1, color='grey') # plot(recall, precision)
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+
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+ ax.plot(px, py.mean(1), linewidth=3, color='blue', label='all classes %.3f mAP@0.5' % ap[:, 0].mean())
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+ ax.set_xlabel('Recall')
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+ ax.set_ylabel('Precision')
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+ ax.set_xlim(0, 1)
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+ ax.set_ylim(0, 1)
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+ plt.legend(bbox_to_anchor=(1.04, 1), loc="upper left")
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+ fig.savefig(Path(save_dir), dpi=250)
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+
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+
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+ def plot_mc_curve(px, py, save_dir='mc_curve.png', names=(), xlabel='Confidence', ylabel='Metric'):
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+ # Metric-confidence curve
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+ fig, ax = plt.subplots(1, 1, figsize=(9, 6), tight_layout=True)
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+
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+ if 0 < len(names) < 21: # display per-class legend if < 21 classes
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+ for i, y in enumerate(py):
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+ ax.plot(px, y, linewidth=1, label=f'{names[i]}') # plot(confidence, metric)
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+ else:
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+ ax.plot(px, py.T, linewidth=1, color='grey') # plot(confidence, metric)
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+
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+ y = py.mean(0)
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+ ax.plot(px, y, linewidth=3, color='blue', label=f'all classes {y.max():.2f} at {px[y.argmax()]:.3f}')
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+ ax.set_xlabel(xlabel)
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+ ax.set_ylabel(ylabel)
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+ ax.set_xlim(0, 1)
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+ ax.set_ylim(0, 1)
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+ plt.legend(bbox_to_anchor=(1.04, 1), loc="upper left")
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+ fig.savefig(Path(save_dir), dpi=250)