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| """
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| @Author : Peike Li
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| @Contact : peike.li@yahoo.com
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| @File : lovasz_softmax.py
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| @Time : 8/30/19 7:12 PM
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| @Desc : Lovasz-Softmax and Jaccard hinge loss in PyTorch
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| Maxim Berman 2018 ESAT-PSI KU Leuven (MIT License)
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| @License : This source code is licensed under the license found in the
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| LICENSE file in the root directory of this source tree.
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| """
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|
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| from __future__ import print_function, division
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|
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| import torch
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| from torch.autograd import Variable
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| import torch.nn.functional as F
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| import numpy as np
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| from torch import nn
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| try:
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| from itertools import ifilterfalse
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| except ImportError:
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| from itertools import filterfalse as ifilterfalse
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| def lovasz_grad(gt_sorted):
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| """
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| Computes gradient of the Lovasz extension w.r.t sorted errors
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| See Alg. 1 in paper
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| """
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| p = len(gt_sorted)
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| gts = gt_sorted.sum()
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| intersection = gts - gt_sorted.float().cumsum(0)
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| union = gts + (1 - gt_sorted).float().cumsum(0)
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| jaccard = 1. - intersection / union
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| if p > 1:
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| jaccard[1:p] = jaccard[1:p] - jaccard[0:-1]
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| return jaccard
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| def iou_binary(preds, labels, EMPTY=1., ignore=None, per_image=True):
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| """
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| IoU for foreground class
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| binary: 1 foreground, 0 background
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| """
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| if not per_image:
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| preds, labels = (preds,), (labels,)
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| ious = []
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| for pred, label in zip(preds, labels):
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| intersection = ((label == 1) & (pred == 1)).sum()
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| union = ((label == 1) | ((pred == 1) & (label != ignore))).sum()
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| if not union:
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| iou = EMPTY
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| else:
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| iou = float(intersection) / float(union)
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| ious.append(iou)
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| iou = mean(ious)
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| return 100 * iou
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| def iou(preds, labels, C, EMPTY=1., ignore=None, per_image=False):
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| """
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| Array of IoU for each (non ignored) class
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| """
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| if not per_image:
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| preds, labels = (preds,), (labels,)
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| ious = []
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| for pred, label in zip(preds, labels):
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| iou = []
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| for i in range(C):
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| if i != ignore:
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| intersection = ((label == i) & (pred == i)).sum()
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| union = ((label == i) | ((pred == i) & (label != ignore))).sum()
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| if not union:
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| iou.append(EMPTY)
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| else:
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| iou.append(float(intersection) / float(union))
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| ious.append(iou)
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| ious = [mean(iou) for iou in zip(*ious)]
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| return 100 * np.array(ious)
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| def lovasz_hinge(logits, labels, per_image=True, ignore=None):
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| """
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| Binary Lovasz hinge loss
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| logits: [B, H, W] Variable, logits at each pixel (between -\infty and +\infty)
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| labels: [B, H, W] Tensor, binary ground truth masks (0 or 1)
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| per_image: compute the loss per image instead of per batch
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| ignore: void class id
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| """
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| if per_image:
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| loss = mean(lovasz_hinge_flat(*flatten_binary_scores(log.unsqueeze(0), lab.unsqueeze(0), ignore))
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| for log, lab in zip(logits, labels))
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| else:
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| loss = lovasz_hinge_flat(*flatten_binary_scores(logits, labels, ignore))
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| return loss
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| def lovasz_hinge_flat(logits, labels):
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| """
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| Binary Lovasz hinge loss
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| logits: [P] Variable, logits at each prediction (between -\infty and +\infty)
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| labels: [P] Tensor, binary ground truth labels (0 or 1)
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| ignore: label to ignore
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| """
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| if len(labels) == 0:
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| return logits.sum() * 0.
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| signs = 2. * labels.float() - 1.
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| errors = (1. - logits * Variable(signs))
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| errors_sorted, perm = torch.sort(errors, dim=0, descending=True)
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| perm = perm.data
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| gt_sorted = labels[perm]
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| grad = lovasz_grad(gt_sorted)
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| loss = torch.dot(F.relu(errors_sorted), Variable(grad))
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| return loss
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| def flatten_binary_scores(scores, labels, ignore=None):
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| """
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| Flattens predictions in the batch (binary case)
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| Remove labels equal to 'ignore'
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| """
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| scores = scores.view(-1)
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| labels = labels.view(-1)
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| if ignore is None:
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| return scores, labels
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| valid = (labels != ignore)
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| vscores = scores[valid]
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| vlabels = labels[valid]
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| return vscores, vlabels
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| class StableBCELoss(torch.nn.modules.Module):
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| def __init__(self):
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| super(StableBCELoss, self).__init__()
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| def forward(self, input, target):
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| neg_abs = - input.abs()
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| loss = input.clamp(min=0) - input * target + (1 + neg_abs.exp()).log()
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| return loss.mean()
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| def binary_xloss(logits, labels, ignore=None):
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| """
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| Binary Cross entropy loss
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| logits: [B, H, W] Variable, logits at each pixel (between -\infty and +\infty)
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| labels: [B, H, W] Tensor, binary ground truth masks (0 or 1)
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| ignore: void class id
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| """
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| logits, labels = flatten_binary_scores(logits, labels, ignore)
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| loss = StableBCELoss()(logits, Variable(labels.float()))
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| return loss
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| def lovasz_softmax(probas, labels, classes='present', per_image=False, ignore=255, weighted=None):
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| """
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| Multi-class Lovasz-Softmax loss
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| probas: [B, C, H, W] Variable, class probabilities at each prediction (between 0 and 1).
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| Interpreted as binary (sigmoid) output with outputs of size [B, H, W].
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| labels: [B, H, W] Tensor, ground truth labels (between 0 and C - 1)
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| classes: 'all' for all, 'present' for classes present in labels, or a list of classes to average.
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| per_image: compute the loss per image instead of per batch
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| ignore: void class labels
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| """
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| if per_image:
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| loss = mean(lovasz_softmax_flat(*flatten_probas(prob.unsqueeze(0), lab.unsqueeze(0), ignore), classes=classes, weighted=weighted)
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| for prob, lab in zip(probas, labels))
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| else:
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| loss = lovasz_softmax_flat(*flatten_probas(probas, labels, ignore), classes=classes, weighted=weighted )
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| return loss
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| def lovasz_softmax_flat(probas, labels, classes='present', weighted=None):
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| """
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| Multi-class Lovasz-Softmax loss
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| probas: [P, C] Variable, class probabilities at each prediction (between 0 and 1)
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| labels: [P] Tensor, ground truth labels (between 0 and C - 1)
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| classes: 'all' for all, 'present' for classes present in labels, or a list of classes to average.
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| """
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| if probas.numel() == 0:
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| return probas * 0.
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| C = probas.size(1)
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| losses = []
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| class_to_sum = list(range(C)) if classes in ['all', 'present'] else classes
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| for c in class_to_sum:
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| fg = (labels == c).float()
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| if (classes is 'present' and fg.sum() == 0):
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| continue
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| if C == 1:
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| if len(classes) > 1:
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| raise ValueError('Sigmoid output possible only with 1 class')
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| class_pred = probas[:, 0]
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| else:
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| class_pred = probas[:, c]
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| errors = (Variable(fg) - class_pred).abs()
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| errors_sorted, perm = torch.sort(errors, 0, descending=True)
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| perm = perm.data
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| fg_sorted = fg[perm]
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| if weighted is not None:
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| losses.append(weighted[c]*torch.dot(errors_sorted, Variable(lovasz_grad(fg_sorted))))
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| else:
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| losses.append(torch.dot(errors_sorted, Variable(lovasz_grad(fg_sorted))))
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| return mean(losses)
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| def flatten_probas(probas, labels, ignore=None):
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| """
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| Flattens predictions in the batch
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| """
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| if probas.dim() == 3:
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| B, H, W = probas.size()
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| probas = probas.view(B, 1, H, W)
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| B, C, H, W = probas.size()
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| probas = probas.permute(0, 2, 3, 1).contiguous().view(-1, C)
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| labels = labels.view(-1)
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| if ignore is None:
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| return probas, labels
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| valid = (labels != ignore)
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| vprobas = probas[valid.nonzero().squeeze()]
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| vlabels = labels[valid]
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| return vprobas, vlabels
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| def xloss(logits, labels, ignore=None):
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| """
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| Cross entropy loss
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| """
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| return F.cross_entropy(logits, Variable(labels), ignore_index=255)
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| def isnan(x):
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| return x != x
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| def mean(l, ignore_nan=False, empty=0):
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| """
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| nanmean compatible with generators.
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| """
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| l = iter(l)
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| if ignore_nan:
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| l = ifilterfalse(isnan, l)
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| try:
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| n = 1
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| acc = next(l)
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| except StopIteration:
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| if empty == 'raise':
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| raise ValueError('Empty mean')
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| return empty
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| for n, v in enumerate(l, 2):
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| acc += v
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| if n == 1:
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| return acc
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| return acc / n
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| class LovaszSoftmax(nn.Module):
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| def __init__(self, per_image=False, ignore_index=255, weighted=None):
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| super(LovaszSoftmax, self).__init__()
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| self.lovasz_softmax = lovasz_softmax
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| self.per_image = per_image
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| self.ignore_index=ignore_index
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| self.weighted = weighted
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| def forward(self, pred, label):
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| pred = F.softmax(pred, dim=1)
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| return self.lovasz_softmax(pred, label, per_image=self.per_image, ignore=self.ignore_index, weighted=self.weighted) |