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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"
@torch.no_grad()
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
]
@torch.no_grad()
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)