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"""Modified from https://github.com/bermanmaxim/LovaszSoftmax/blob/master/pytor |
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ch/lovasz_losses.py Lovasz-Softmax and Jaccard hinge loss in PyTorch Maxim |
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Berman 2018 ESAT-PSI KU Leuven (MIT License)""" |
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import mmcv |
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import torch |
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import torch.nn as nn |
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import torch.nn.functional as F |
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from ..builder import LOSSES |
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from .utils import weight_reduce_loss |
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def lovasz_grad(gt_sorted): |
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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 flatten_binary_logits(logits, labels, ignore_index=None): |
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"""Flattens predictions in the batch (binary case) Remove labels equal to |
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'ignore_index'.""" |
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logits = logits.view(-1) |
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labels = labels.view(-1) |
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if ignore_index is None: |
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return logits, labels |
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valid = (labels != ignore_index) |
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vlogits = logits[valid] |
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vlabels = labels[valid] |
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return vlogits, vlabels |
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def flatten_probs(probs, labels, ignore_index=None): |
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"""Flattens predictions in the batch.""" |
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if probs.dim() == 3: |
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B, H, W = probs.size() |
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probs = probs.view(B, 1, H, W) |
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B, C, H, W = probs.size() |
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probs = probs.permute(0, 2, 3, 1).contiguous().view(-1, C) |
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labels = labels.view(-1) |
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if ignore_index is None: |
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return probs, labels |
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valid = (labels != ignore_index) |
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vprobs = probs[valid.nonzero().squeeze()] |
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vlabels = labels[valid] |
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return vprobs, vlabels |
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def lovasz_hinge_flat(logits, labels): |
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"""Binary Lovasz hinge loss. |
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Args: |
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logits (torch.Tensor): [P], logits at each prediction |
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(between -infty and +infty). |
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labels (torch.Tensor): [P], binary ground truth labels (0 or 1). |
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Returns: |
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torch.Tensor: The calculated loss. |
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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 * 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), grad) |
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return loss |
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def lovasz_hinge(logits, |
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labels, |
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classes='present', |
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per_image=False, |
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class_weight=None, |
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reduction='mean', |
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avg_factor=None, |
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ignore_index=255): |
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"""Binary Lovasz hinge loss. |
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Args: |
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logits (torch.Tensor): [B, H, W], logits at each pixel |
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(between -infty and +infty). |
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labels (torch.Tensor): [B, H, W], binary ground truth masks (0 or 1). |
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classes (str | list[int], optional): Placeholder, to be consistent with |
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other loss. Default: None. |
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per_image (bool, optional): If per_image is True, compute the loss per |
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image instead of per batch. Default: False. |
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class_weight (list[float], optional): Placeholder, to be consistent |
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with other loss. Default: None. |
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reduction (str, optional): The method used to reduce the loss. Options |
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are "none", "mean" and "sum". This parameter only works when |
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per_image is True. Default: 'mean'. |
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avg_factor (int, optional): Average factor that is used to average |
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the loss. This parameter only works when per_image is True. |
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Default: None. |
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ignore_index (int | None): The label index to be ignored. Default: 255. |
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Returns: |
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torch.Tensor: The calculated loss. |
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""" |
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if per_image: |
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loss = [ |
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lovasz_hinge_flat(*flatten_binary_logits( |
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logit.unsqueeze(0), label.unsqueeze(0), ignore_index)) |
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for logit, label in zip(logits, labels) |
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] |
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loss = weight_reduce_loss( |
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torch.stack(loss), None, reduction, avg_factor) |
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else: |
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loss = lovasz_hinge_flat( |
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*flatten_binary_logits(logits, labels, ignore_index)) |
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return loss |
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def lovasz_softmax_flat(probs, labels, classes='present', class_weight=None): |
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"""Multi-class Lovasz-Softmax loss. |
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Args: |
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probs (torch.Tensor): [P, C], class probabilities at each prediction |
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(between 0 and 1). |
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labels (torch.Tensor): [P], ground truth labels (between 0 and C - 1). |
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classes (str | list[int], optional): Classes choosed to calculate loss. |
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'all' for all classes, 'present' for classes present in labels, or |
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a list of classes to average. Default: 'present'. |
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class_weight (list[float], optional): The weight for each class. |
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Default: None. |
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Returns: |
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torch.Tensor: The calculated loss. |
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""" |
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if probs.numel() == 0: |
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return probs * 0. |
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C = probs.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 == '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 = probs[:, 0] |
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else: |
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class_pred = probs[:, c] |
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errors = (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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loss = torch.dot(errors_sorted, lovasz_grad(fg_sorted)) |
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if class_weight is not None: |
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loss *= class_weight[c] |
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losses.append(loss) |
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return torch.stack(losses).mean() |
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def lovasz_softmax(probs, |
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labels, |
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classes='present', |
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per_image=False, |
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class_weight=None, |
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reduction='mean', |
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avg_factor=None, |
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ignore_index=255): |
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"""Multi-class Lovasz-Softmax loss. |
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Args: |
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probs (torch.Tensor): [B, C, H, W], class probabilities at each |
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prediction (between 0 and 1). |
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labels (torch.Tensor): [B, H, W], ground truth labels (between 0 and |
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C - 1). |
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classes (str | list[int], optional): Classes choosed to calculate loss. |
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'all' for all classes, 'present' for classes present in labels, or |
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a list of classes to average. Default: 'present'. |
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per_image (bool, optional): If per_image is True, compute the loss per |
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image instead of per batch. Default: False. |
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class_weight (list[float], optional): The weight for each class. |
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Default: None. |
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reduction (str, optional): The method used to reduce the loss. Options |
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are "none", "mean" and "sum". This parameter only works when |
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per_image is True. Default: 'mean'. |
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avg_factor (int, optional): Average factor that is used to average |
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the loss. This parameter only works when per_image is True. |
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Default: None. |
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ignore_index (int | None): The label index to be ignored. Default: 255. |
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Returns: |
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torch.Tensor: The calculated loss. |
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""" |
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if per_image: |
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loss = [ |
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lovasz_softmax_flat( |
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*flatten_probs( |
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prob.unsqueeze(0), label.unsqueeze(0), ignore_index), |
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classes=classes, |
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class_weight=class_weight) |
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for prob, label in zip(probs, labels) |
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] |
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loss = weight_reduce_loss( |
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torch.stack(loss), None, reduction, avg_factor) |
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else: |
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loss = lovasz_softmax_flat( |
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*flatten_probs(probs, labels, ignore_index), |
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classes=classes, |
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class_weight=class_weight) |
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return loss |
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@LOSSES.register_module() |
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class LovaszLoss(nn.Module): |
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"""LovaszLoss. |
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This loss is proposed in `The Lovasz-Softmax loss: A tractable surrogate |
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for the optimization of the intersection-over-union measure in neural |
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networks <https://arxiv.org/abs/1705.08790>`_. |
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Args: |
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loss_type (str, optional): Binary or multi-class loss. |
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Default: 'multi_class'. Options are "binary" and "multi_class". |
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classes (str | list[int], optional): Classes choosed to calculate loss. |
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'all' for all classes, 'present' for classes present in labels, or |
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a list of classes to average. Default: 'present'. |
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per_image (bool, optional): If per_image is True, compute the loss per |
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image instead of per batch. Default: False. |
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reduction (str, optional): The method used to reduce the loss. Options |
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are "none", "mean" and "sum". This parameter only works when |
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per_image is True. Default: 'mean'. |
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class_weight (list[float], optional): The weight for each class. |
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Default: None. |
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loss_weight (float, optional): Weight of the loss. Defaults to 1.0. |
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""" |
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def __init__(self, |
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loss_type='multi_class', |
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classes='present', |
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per_image=False, |
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reduction='mean', |
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class_weight=None, |
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loss_weight=1.0): |
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super(LovaszLoss, self).__init__() |
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assert loss_type in ('binary', 'multi_class'), "loss_type should be \ |
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'binary' or 'multi_class'." |
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if loss_type == 'binary': |
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self.cls_criterion = lovasz_hinge |
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else: |
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self.cls_criterion = lovasz_softmax |
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assert classes in ('all', 'present') or mmcv.is_list_of(classes, int) |
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if not per_image: |
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assert reduction == 'none', "reduction should be 'none' when \ |
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per_image is False." |
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self.classes = classes |
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self.per_image = per_image |
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self.reduction = reduction |
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self.loss_weight = loss_weight |
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self.class_weight = class_weight |
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def forward(self, |
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cls_score, |
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label, |
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weight=None, |
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avg_factor=None, |
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reduction_override=None, |
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**kwargs): |
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"""Forward function.""" |
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assert reduction_override in (None, 'none', 'mean', 'sum') |
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reduction = ( |
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reduction_override if reduction_override else self.reduction) |
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if self.class_weight is not None: |
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class_weight = cls_score.new_tensor(self.class_weight) |
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else: |
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class_weight = None |
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if self.cls_criterion == lovasz_softmax: |
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cls_score = F.softmax(cls_score, dim=1) |
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loss_cls = self.loss_weight * self.cls_criterion( |
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cls_score, |
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label, |
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self.classes, |
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self.per_image, |
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class_weight=class_weight, |
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reduction=reduction, |
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avg_factor=avg_factor, |
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**kwargs) |
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return loss_cls |
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