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# Copyright (c) Facebook, Inc. and its affiliates. | |
# Modified by Bowen Cheng from https://github.com/facebookresearch/detr/blob/master/models/matcher.py | |
# Copyright (c) Meta Platforms, Inc. All Rights Reserved | |
""" | |
Modules to compute the matching cost and solve the corresponding LSAP. | |
""" | |
import torch | |
import torch.nn.functional as F | |
from scipy.optimize import linear_sum_assignment | |
from torch import nn | |
def batch_dice_loss(inputs, targets): | |
""" | |
Compute the DICE loss, similar to generalized IOU for masks | |
Args: | |
inputs: A float tensor of arbitrary shape. | |
The predictions for each example. | |
targets: A float tensor with the same shape as inputs. Stores the binary | |
classification label for each element in inputs | |
(0 for the negative class and 1 for the positive class). | |
""" | |
inputs = inputs.sigmoid() | |
inputs = inputs.flatten(1) | |
numerator = 2 * torch.einsum("nc,mc->nm", inputs, targets) | |
denominator = inputs.sum(-1)[:, None] + targets.sum(-1)[None, :] | |
loss = 1 - (numerator + 1) / (denominator + 1) | |
return loss | |
def batch_sigmoid_focal_loss(inputs, targets, alpha: float = 0.25, gamma: float = 2): | |
""" | |
Loss used in RetinaNet for dense detection: https://arxiv.org/abs/1708.02002. | |
Args: | |
inputs: A float tensor of arbitrary shape. | |
The predictions for each example. | |
targets: A float tensor with the same shape as inputs. Stores the binary | |
classification label for each element in inputs | |
(0 for the negative class and 1 for the positive class). | |
alpha: (optional) Weighting factor in range (0,1) to balance | |
positive vs negative examples. Default = -1 (no weighting). | |
gamma: Exponent of the modulating factor (1 - p_t) to | |
balance easy vs hard examples. | |
Returns: | |
Loss tensor | |
""" | |
hw = inputs.shape[1] | |
prob = inputs.sigmoid() | |
focal_pos = ((1 - prob) ** gamma) * F.binary_cross_entropy_with_logits( | |
inputs, torch.ones_like(inputs), reduction="none" | |
) | |
focal_neg = (prob ** gamma) * F.binary_cross_entropy_with_logits( | |
inputs, torch.zeros_like(inputs), reduction="none" | |
) | |
if alpha >= 0: | |
focal_pos = focal_pos * alpha | |
focal_neg = focal_neg * (1 - alpha) | |
loss = torch.einsum("nc,mc->nm", focal_pos, targets) + torch.einsum( | |
"nc,mc->nm", focal_neg, (1 - targets) | |
) | |
return loss / hw | |
class HungarianMatcher(nn.Module): | |
"""This class computes an assignment between the targets and the predictions of the network | |
For efficiency reasons, the targets don't include the no_object. Because of this, in general, | |
there are more predictions than targets. In this case, we do a 1-to-1 matching of the best predictions, | |
while the others are un-matched (and thus treated as non-objects). | |
""" | |
def __init__( | |
self, cost_class: float = 1, cost_mask: float = 1, cost_dice: float = 1 | |
): | |
"""Creates the matcher | |
Params: | |
cost_class: This is the relative weight of the classification error in the matching cost | |
cost_mask: This is the relative weight of the focal loss of the binary mask in the matching cost | |
cost_dice: This is the relative weight of the dice loss of the binary mask in the matching cost | |
""" | |
super().__init__() | |
self.cost_class = cost_class | |
self.cost_mask = cost_mask | |
self.cost_dice = cost_dice | |
assert ( | |
cost_class != 0 or cost_mask != 0 or cost_dice != 0 | |
), "all costs cant be 0" | |
def memory_efficient_forward(self, outputs, targets): | |
"""More memory-friendly matching""" | |
bs, num_queries = outputs["pred_logits"].shape[:2] | |
# Work out the mask padding size | |
masks = [v["masks"] for v in targets] | |
h_max = max([m.shape[1] for m in masks]) | |
w_max = max([m.shape[2] for m in masks]) | |
indices = [] | |
# Iterate through batch size | |
for b in range(bs): | |
out_prob = outputs["pred_logits"][b].softmax( | |
-1 | |
) # [num_queries, num_classes] | |
out_mask = outputs["pred_masks"][b] # [num_queries, H_pred, W_pred] | |
tgt_ids = targets[b]["labels"] | |
# gt masks are already padded when preparing target | |
tgt_mask = targets[b]["masks"].to(out_mask) | |
# Compute the classification cost. Contrary to the loss, we don't use the NLL, | |
# but approximate it in 1 - proba[target class]. | |
# The 1 is a constant that doesn't change the matching, it can be ommitted. | |
cost_class = -out_prob[:, tgt_ids] | |
# Downsample gt masks to save memory | |
tgt_mask = F.interpolate( | |
tgt_mask[:, None], size=out_mask.shape[-2:], mode="nearest" | |
) | |
# Flatten spatial dimension | |
out_mask = out_mask.flatten(1) # [batch_size * num_queries, H*W] | |
tgt_mask = tgt_mask[:, 0].flatten(1) # [num_total_targets, H*W] | |
# Compute the focal loss between masks | |
cost_mask = batch_sigmoid_focal_loss(out_mask, tgt_mask) | |
# Compute the dice loss betwen masks | |
cost_dice = batch_dice_loss(out_mask, tgt_mask) | |
# Final cost matrix | |
C = ( | |
self.cost_mask * cost_mask | |
+ self.cost_class * cost_class | |
+ self.cost_dice * cost_dice | |
) | |
C = C.reshape(num_queries, -1).cpu() | |
indices.append(linear_sum_assignment(C)) | |
return [ | |
( | |
torch.as_tensor(i, dtype=torch.int64), | |
torch.as_tensor(j, dtype=torch.int64), | |
) | |
for i, j in indices | |
] | |
def forward(self, outputs, targets): | |
"""Performs the matching | |
Params: | |
outputs: This is a dict that contains at least these entries: | |
"pred_logits": Tensor of dim [batch_size, num_queries, num_classes] with the classification logits | |
"pred_masks": Tensor of dim [batch_size, num_queries, H_pred, W_pred] with the predicted masks | |
targets: This is a list of targets (len(targets) = batch_size), where each target is a dict containing: | |
"labels": Tensor of dim [num_target_boxes] (where num_target_boxes is the number of ground-truth | |
objects in the target) containing the class labels | |
"masks": Tensor of dim [num_target_boxes, H_gt, W_gt] containing the target masks | |
Returns: | |
A list of size batch_size, containing tuples of (index_i, index_j) where: | |
- index_i is the indices of the selected predictions (in order) | |
- index_j is the indices of the corresponding selected targets (in order) | |
For each batch element, it holds: | |
len(index_i) = len(index_j) = min(num_queries, num_target_boxes) | |
""" | |
return self.memory_efficient_forward(outputs, targets) | |
def __repr__(self): | |
head = "Matcher " + self.__class__.__name__ | |
body = [ | |
"cost_class: {}".format(self.cost_class), | |
"cost_mask: {}".format(self.cost_mask), | |
"cost_dice: {}".format(self.cost_dice), | |
] | |
_repr_indent = 4 | |
lines = [head] + [" " * _repr_indent + line for line in body] | |
return "\n".join(lines) | |