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""" |
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Modules to compute the matching cost and solve the corresponding LSAP. |
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""" |
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import torch |
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import torch.nn.functional as F |
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from scipy.optimize import linear_sum_assignment |
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from torch import nn |
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from torch.cuda.amp import autocast |
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from .point_features import point_sample |
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def batch_dice_loss(inputs: torch.Tensor, targets: torch.Tensor): |
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""" |
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Compute the DICE loss, similar to generalized IOU for masks |
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Args: |
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inputs: A float tensor of arbitrary shape. |
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The predictions for each example. |
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targets: A float tensor with the same shape as inputs. Stores the binary |
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classification label for each element in inputs |
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(0 for the negative class and 1 for the positive class). |
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""" |
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inputs = inputs.sigmoid() |
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inputs = inputs.flatten(1) |
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numerator = 2 * torch.einsum("nc,mc->nm", inputs, targets) |
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denominator = inputs.sum(-1)[:, None] + targets.sum(-1)[None, :] |
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loss = 1 - (numerator + 1) / (denominator + 1) |
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return loss |
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def batch_sigmoid_ce_loss(inputs: torch.Tensor, targets: torch.Tensor): |
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""" |
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Args: |
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inputs: A float tensor of arbitrary shape. |
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The predictions for each example. |
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targets: A float tensor with the same shape as inputs. Stores the binary |
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classification label for each element in inputs |
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(0 for the negative class and 1 for the positive class). |
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Returns: |
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Loss tensor |
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""" |
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hw = inputs.shape[1] |
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pos = F.binary_cross_entropy_with_logits( |
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inputs, torch.ones_like(inputs), reduction="none" |
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) |
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neg = F.binary_cross_entropy_with_logits( |
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inputs, torch.zeros_like(inputs), reduction="none" |
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) |
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loss = torch.einsum("nc,mc->nm", pos, targets) + torch.einsum("nc,mc->nm", neg, (1 - targets) |
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) |
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return loss / hw |
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def batch_sigmoid_focal_loss(inputs, targets, alpha: float = 0.25, gamma: float = 2): |
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""" |
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Loss used in RetinaNet for dense detection: https://arxiv.org/abs/1708.02002. |
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Args: |
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inputs: A float tensor of arbitrary shape. |
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The predictions for each example. |
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targets: A float tensor with the same shape as inputs. Stores the binary |
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classification label for each element in inputs |
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(0 for the negative class and 1 for the positive class). |
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alpha: (optional) Weighting factor in range (0,1) to balance |
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positive vs negative examples. Default = -1 (no weighting). |
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gamma: Exponent of the modulating factor (1 - p_t) to |
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balance easy vs hard examples. |
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Returns: |
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Loss tensor |
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""" |
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hw = inputs.shape[1] |
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prob = inputs.sigmoid() |
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focal_pos = ((1 - prob) ** gamma) * F.binary_cross_entropy_with_logits( |
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inputs, torch.ones_like(inputs), reduction="none" |
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) |
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focal_neg = (prob ** gamma) * F.binary_cross_entropy_with_logits( |
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inputs, torch.zeros_like(inputs), reduction="none" |
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) |
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if alpha >= 0: |
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focal_pos = focal_pos * alpha |
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focal_neg = focal_neg * (1 - alpha) |
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loss = torch.einsum("nc,mc->nm", focal_pos, targets) + torch.einsum("nc,mc->nm", focal_neg, (1 - targets)) |
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return loss / hw |
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class HungarianMatcher(nn.Module): |
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"""This class computes an assignment between the targets and the predictions of the network |
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For efficiency reasons, the targets don't include the no_object. Because of this, in general, |
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there are more predictions than targets. In this case, we do a 1-to-1 matching of the best predictions, |
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while the others are un-matched (and thus treated as non-objects). |
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""" |
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def __init__(self, cost_class: float = 1, cost_mask: float = 1, cost_dice: float = 1, num_points: int = 0): |
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"""Creates the matcher |
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Params: |
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cost_class: This is the relative weight of the classification error in the matching cost |
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cost_mask: This is the relative weight of the focal loss of the binary mask in the matching cost |
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cost_dice: This is the relative weight of the dice loss of the binary mask in the matching cost |
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""" |
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super().__init__() |
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self.cost_class = cost_class |
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self.cost_mask = cost_mask |
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self.cost_dice = cost_dice |
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assert cost_class != 0 or cost_mask != 0 or cost_dice != 0, "all costs cant be 0" |
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self.num_points = num_points |
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@torch.no_grad() |
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def memory_efficient_forward(self, outputs, targets): |
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"""More memory-friendly matching""" |
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bs, num_queries = outputs["pred_logits"].shape[:2] |
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indices = [] |
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for b in range(bs): |
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out_prob = outputs["pred_logits"][b].softmax(-1) |
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out_mask = outputs["pred_masks"][b] |
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tgt_ids = targets[b]["labels"] |
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tgt_mask = targets[b]["masks"].to(out_mask) |
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cost_class = -out_prob[:, tgt_ids] |
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out_mask = out_mask.flatten(1) |
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tgt_mask = tgt_mask.flatten(1) |
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with autocast(enabled=False): |
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out_mask = out_mask.float() |
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tgt_mask = tgt_mask.float() |
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cost_mask = batch_sigmoid_focal_loss(out_mask, tgt_mask) |
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cost_dice = batch_dice_loss(out_mask, tgt_mask) |
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C = ( |
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self.cost_mask * cost_mask |
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+ self.cost_class * cost_class |
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+ self.cost_dice * cost_dice |
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) |
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C = C.reshape(num_queries, -1).cpu() |
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indices.append(linear_sum_assignment(C)) |
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return [ |
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(torch.as_tensor(i, dtype=torch.int64), torch.as_tensor(j, dtype=torch.int64)) |
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for i, j in indices |
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] |
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@torch.no_grad() |
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def forward(self, outputs, targets): |
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"""Performs the matching |
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Params: |
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outputs: This is a dict that contains at least these entries: |
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"pred_logits": Tensor of dim [batch_size, num_queries, num_classes] with the classification logits |
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"pred_masks": Tensor of dim [batch_size, num_queries, H_pred, W_pred] with the predicted masks |
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targets: This is a list of targets (len(targets) = batch_size), where each target is a dict containing: |
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"labels": Tensor of dim [num_target_boxes] (where num_target_boxes is the number of ground-truth |
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objects in the target) containing the class labels |
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"masks": Tensor of dim [num_target_boxes, H_gt, W_gt] containing the target masks |
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Returns: |
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A list of size batch_size, containing tuples of (index_i, index_j) where: |
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- index_i is the indices of the selected predictions (in order) |
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- index_j is the indices of the corresponding selected targets (in order) |
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For each batch element, it holds: |
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len(index_i) = len(index_j) = min(num_queries, num_target_boxes) |
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""" |
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return self.memory_efficient_forward(outputs, targets) |
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def __repr__(self, _repr_indent=4): |
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head = "Matcher " + self.__class__.__name__ |
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body = [ |
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"cost_class: {}".format(self.cost_class), |
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"cost_mask: {}".format(self.cost_mask), |
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"cost_dice: {}".format(self.cost_dice), |
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] |
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lines = [head] + [" " * _repr_indent + line for line in body] |
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return "\n".join(lines) |
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