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# Copyright (c) OpenMMLab. All rights reserved. | |
from typing import Optional, Union | |
import torch.nn as nn | |
from torch import Tensor | |
from mmdet.registry import MODELS | |
from .utils import weight_reduce_loss, weighted_loss | |
def gaussian_focal_loss(pred: Tensor, | |
gaussian_target: Tensor, | |
alpha: float = 2.0, | |
gamma: float = 4.0, | |
pos_weight: float = 1.0, | |
neg_weight: float = 1.0) -> Tensor: | |
"""`Focal Loss <https://arxiv.org/abs/1708.02002>`_ for targets in gaussian | |
distribution. | |
Args: | |
pred (torch.Tensor): The prediction. | |
gaussian_target (torch.Tensor): The learning target of the prediction | |
in gaussian distribution. | |
alpha (float, optional): A balanced form for Focal Loss. | |
Defaults to 2.0. | |
gamma (float, optional): The gamma for calculating the modulating | |
factor. Defaults to 4.0. | |
pos_weight(float): Positive sample loss weight. Defaults to 1.0. | |
neg_weight(float): Negative sample loss weight. Defaults to 1.0. | |
""" | |
eps = 1e-12 | |
pos_weights = gaussian_target.eq(1) | |
neg_weights = (1 - gaussian_target).pow(gamma) | |
pos_loss = -(pred + eps).log() * (1 - pred).pow(alpha) * pos_weights | |
neg_loss = -(1 - pred + eps).log() * pred.pow(alpha) * neg_weights | |
return pos_weight * pos_loss + neg_weight * neg_loss | |
def gaussian_focal_loss_with_pos_inds( | |
pred: Tensor, | |
gaussian_target: Tensor, | |
pos_inds: Tensor, | |
pos_labels: Tensor, | |
alpha: float = 2.0, | |
gamma: float = 4.0, | |
pos_weight: float = 1.0, | |
neg_weight: float = 1.0, | |
reduction: str = 'mean', | |
avg_factor: Optional[Union[int, float]] = None) -> Tensor: | |
"""`Focal Loss <https://arxiv.org/abs/1708.02002>`_ for targets in gaussian | |
distribution. | |
Note: The index with a value of 1 in ``gaussian_target`` in the | |
``gaussian_focal_loss`` function is a positive sample, but in | |
``gaussian_focal_loss_with_pos_inds`` the positive sample is passed | |
in through the ``pos_inds`` parameter. | |
Args: | |
pred (torch.Tensor): The prediction. The shape is (N, num_classes). | |
gaussian_target (torch.Tensor): The learning target of the prediction | |
in gaussian distribution. The shape is (N, num_classes). | |
pos_inds (torch.Tensor): The positive sample index. | |
The shape is (M, ). | |
pos_labels (torch.Tensor): The label corresponding to the positive | |
sample index. The shape is (M, ). | |
alpha (float, optional): A balanced form for Focal Loss. | |
Defaults to 2.0. | |
gamma (float, optional): The gamma for calculating the modulating | |
factor. Defaults to 4.0. | |
pos_weight(float): Positive sample loss weight. Defaults to 1.0. | |
neg_weight(float): Negative sample loss weight. Defaults to 1.0. | |
reduction (str): Options are "none", "mean" and "sum". | |
Defaults to 'mean`. | |
avg_factor (int, float, optional): Average factor that is used to | |
average the loss. Defaults to None. | |
""" | |
eps = 1e-12 | |
neg_weights = (1 - gaussian_target).pow(gamma) | |
pos_pred_pix = pred[pos_inds] | |
pos_pred = pos_pred_pix.gather(1, pos_labels.unsqueeze(1)) | |
pos_loss = -(pos_pred + eps).log() * (1 - pos_pred).pow(alpha) | |
pos_loss = weight_reduce_loss(pos_loss, None, reduction, avg_factor) | |
neg_loss = -(1 - pred + eps).log() * pred.pow(alpha) * neg_weights | |
neg_loss = weight_reduce_loss(neg_loss, None, reduction, avg_factor) | |
return pos_weight * pos_loss + neg_weight * neg_loss | |
class GaussianFocalLoss(nn.Module): | |
"""GaussianFocalLoss is a variant of focal loss. | |
More details can be found in the `paper | |
<https://arxiv.org/abs/1808.01244>`_ | |
Code is modified from `kp_utils.py | |
<https://github.com/princeton-vl/CornerNet/blob/master/models/py_utils/kp_utils.py#L152>`_ # noqa: E501 | |
Please notice that the target in GaussianFocalLoss is a gaussian heatmap, | |
not 0/1 binary target. | |
Args: | |
alpha (float): Power of prediction. | |
gamma (float): Power of target for negative samples. | |
reduction (str): Options are "none", "mean" and "sum". | |
loss_weight (float): Loss weight of current loss. | |
pos_weight(float): Positive sample loss weight. Defaults to 1.0. | |
neg_weight(float): Negative sample loss weight. Defaults to 1.0. | |
""" | |
def __init__(self, | |
alpha: float = 2.0, | |
gamma: float = 4.0, | |
reduction: str = 'mean', | |
loss_weight: float = 1.0, | |
pos_weight: float = 1.0, | |
neg_weight: float = 1.0) -> None: | |
super().__init__() | |
self.alpha = alpha | |
self.gamma = gamma | |
self.reduction = reduction | |
self.loss_weight = loss_weight | |
self.pos_weight = pos_weight | |
self.neg_weight = neg_weight | |
def forward(self, | |
pred: Tensor, | |
target: Tensor, | |
pos_inds: Optional[Tensor] = None, | |
pos_labels: Optional[Tensor] = None, | |
weight: Optional[Tensor] = None, | |
avg_factor: Optional[Union[int, float]] = None, | |
reduction_override: Optional[str] = None) -> Tensor: | |
"""Forward function. | |
If you want to manually determine which positions are | |
positive samples, you can set the pos_index and pos_label | |
parameter. Currently, only the CenterNet update version uses | |
the parameter. | |
Args: | |
pred (torch.Tensor): The prediction. The shape is (N, num_classes). | |
target (torch.Tensor): The learning target of the prediction | |
in gaussian distribution. The shape is (N, num_classes). | |
pos_inds (torch.Tensor): The positive sample index. | |
Defaults to None. | |
pos_labels (torch.Tensor): The label corresponding to the positive | |
sample index. Defaults to None. | |
weight (torch.Tensor, optional): The weight of loss for each | |
prediction. Defaults to None. | |
avg_factor (int, float, optional): Average factor that is used to | |
average the loss. Defaults to None. | |
reduction_override (str, optional): The reduction method used to | |
override the original reduction method of the loss. | |
Defaults to None. | |
""" | |
assert reduction_override in (None, 'none', 'mean', 'sum') | |
reduction = ( | |
reduction_override if reduction_override else self.reduction) | |
if pos_inds is not None: | |
assert pos_labels is not None | |
# Only used by centernet update version | |
loss_reg = self.loss_weight * gaussian_focal_loss_with_pos_inds( | |
pred, | |
target, | |
pos_inds, | |
pos_labels, | |
alpha=self.alpha, | |
gamma=self.gamma, | |
pos_weight=self.pos_weight, | |
neg_weight=self.neg_weight, | |
reduction=reduction, | |
avg_factor=avg_factor) | |
else: | |
loss_reg = self.loss_weight * gaussian_focal_loss( | |
pred, | |
target, | |
weight, | |
alpha=self.alpha, | |
gamma=self.gamma, | |
pos_weight=self.pos_weight, | |
neg_weight=self.neg_weight, | |
reduction=reduction, | |
avg_factor=avg_factor) | |
return loss_reg | |