import torch import torch.nn.functional as F from scipy.optimize import linear_sum_assignment from torch import nn from torch.cuda.amp import autocast from detectron2.projects.point_rend.point_features import point_sample def batch_dice_loss(inputs: torch.Tensor, targets: torch.Tensor): """ 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 batch_dice_loss_jit = torch.jit.script( batch_dice_loss ) # type: torch.jit.ScriptModule def batch_sigmoid_ce_loss(inputs: torch.Tensor, targets: torch.Tensor): """ 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). Returns: Loss tensor """ hw = inputs.shape[1] pos = F.binary_cross_entropy_with_logits( inputs, torch.ones_like(inputs), reduction="none" ) neg = F.binary_cross_entropy_with_logits( inputs, torch.zeros_like(inputs), reduction="none" ) loss = torch.einsum("nc,mc->nm", pos, targets) + torch.einsum( "nc,mc->nm", neg, (1 - targets) ) return loss / hw batch_sigmoid_ce_loss_jit = torch.jit.script( batch_sigmoid_ce_loss ) # type: torch.jit.ScriptModule 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, num_points: int = 0): """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" self.num_points = num_points @torch.no_grad() def memory_efficient_forward(self, outputs, targets): """More memory-friendly matching""" bs, num_queries = outputs["pred_logits"].shape[:2] indices = [] # Iterate through batch size for b in range(bs): out_prob = outputs["pred_logits"][b].softmax(-1) # [num_queries, num_classes] tgt_ids = targets[b]["labels"] # 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] out_mask = outputs["pred_masks"][b] # [num_queries, H_pred, W_pred] # gt masks are already padded when preparing target tgt_mask = targets[b]["masks"].to(out_mask) out_mask = out_mask[:, None] tgt_mask = tgt_mask[:, None] # all masks share the same set of points for efficient matching! point_coords = torch.rand(1, self.num_points, 2, device=out_mask.device) # get gt labels tgt_mask = point_sample( tgt_mask, point_coords.repeat(tgt_mask.shape[0], 1, 1), align_corners=False, ).squeeze(1) out_mask = point_sample( out_mask, point_coords.repeat(out_mask.shape[0], 1, 1), align_corners=False, ).squeeze(1) with autocast(enabled=False): out_mask = out_mask.float() tgt_mask = tgt_mask.float() # Compute the focal loss between masks cost_mask = batch_sigmoid_ce_loss_jit(out_mask, tgt_mask) # Compute the dice loss betwen masks cost_dice = batch_dice_loss_jit(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, _repr_indent=4): head = "Matcher " + self.__class__.__name__ body = [ "cost_class: {}".format(self.cost_class), "cost_mask: {}".format(self.cost_mask), "cost_dice: {}".format(self.cost_dice), ] lines = [head] + [" " * _repr_indent + line for line in body] return "\n".join(lines)