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import torch
from torch.nn import functional as F
@torch.jit.script
def sigmoid_focal_loss(
inputs: torch.Tensor,
targets: torch.Tensor,
alpha: float = 0.25,
gamma: float = 2.0,
reduction: str = "none",
) -> torch.Tensor:
"""
Loss used in RetinaNet for dense detection: https://arxiv.org/abs/1708.02002.
Taken from
https://github.com/facebookresearch/fvcore/blob/master/fvcore/nn/focal_loss.py
# Copyright (c) Facebook, Inc. and its affiliates. All Rights Reserved.
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 = 0.25.
gamma: Exponent of the modulating factor (1 - p_t) to
balance easy vs hard examples.
reduction: 'none' | 'mean' | 'sum'
'none': No reduction will be applied to the output.
'mean': The output will be averaged.
'sum': The output will be summed.
Returns:
Loss tensor with the reduction option applied.
"""
inputs = inputs.float()
targets = targets.float()
p = torch.sigmoid(inputs)
ce_loss = F.binary_cross_entropy_with_logits(inputs, targets, reduction="none")
p_t = p * targets + (1 - p) * (1 - targets)
loss = ce_loss * ((1 - p_t) ** gamma)
if alpha >= 0:
alpha_t = alpha * targets + (1 - alpha) * (1 - targets)
loss = alpha_t * loss
if reduction == "mean":
loss = loss.mean()
elif reduction == "sum":
loss = loss.sum()
return loss
@torch.jit.script
def ctr_giou_loss_1d(
input_offsets: torch.Tensor,
target_offsets: torch.Tensor,
reduction: str = 'none',
eps: float = 1e-8,
) -> torch.Tensor:
"""
Generalized Intersection over Union Loss (Hamid Rezatofighi et. al)
https://arxiv.org/abs/1902.09630
This is an implementation that assumes a 1D event is represented using
the same center point with different offsets, e.g.,
(t1, t2) = (c - o_1, c + o_2) with o_i >= 0
Reference code from
https://github.com/facebookresearch/fvcore/blob/master/fvcore/nn/giou_loss.py
Args:
input/target_offsets (Tensor): 1D offsets of size (N, 2)
reduction: 'none' | 'mean' | 'sum'
'none': No reduction will be applied to the output.
'mean': The output will be averaged.
'sum': The output will be summed.
eps (float): small number to prevent division by zero
"""
input_offsets = input_offsets.float()
target_offsets = target_offsets.float()
# check all 1D events are valid
assert (input_offsets >= 0.0).all(), "predicted offsets must be non-negative"
assert (target_offsets >= 0.0).all(), "GT offsets must be non-negative"
lp, rp = input_offsets[:, 0], input_offsets[:, 1]
lg, rg = target_offsets[:, 0], target_offsets[:, 1]
# intersection key points
lkis = torch.min(lp, lg)
rkis = torch.min(rp, rg)
# iou
intsctk = rkis + lkis
unionk = (lp + rp) + (lg + rg) - intsctk
iouk = intsctk / unionk.clamp(min=eps)
# giou is reduced to iou in our setting, skip unnecessary steps
loss = 1.0 - iouk
if reduction == "mean":
loss = loss.mean() if loss.numel() > 0 else 0.0 * loss.sum()
elif reduction == "sum":
loss = loss.sum()
return loss
@torch.jit.script
def ctr_diou_loss_1d(
input_offsets: torch.Tensor,
target_offsets: torch.Tensor,
reduction: str = 'none',
eps: float = 1e-8,
) -> torch.Tensor:
"""
Distance-IoU Loss (Zheng et. al)
https://arxiv.org/abs/1911.08287
This is an implementation that assumes a 1D event is represented using
the same center point with different offsets, e.g.,
(t1, t2) = (c - o_1, c + o_2) with o_i >= 0
Reference code from
https://github.com/facebookresearch/fvcore/blob/master/fvcore/nn/giou_loss.py
Args:
input/target_offsets (Tensor): 1D offsets of size (N, 2)
reduction: 'none' | 'mean' | 'sum'
'none': No reduction will be applied to the output.
'mean': The output will be averaged.
'sum': The output will be summed.
eps (float): small number to prevent division by zero
"""
input_offsets = input_offsets.float()
target_offsets = target_offsets.float()
# check all 1D events are valid
assert (input_offsets >= 0.0).all(), "predicted offsets must be non-negative"
assert (target_offsets >= 0.0).all(), "GT offsets must be non-negative"
lp, rp = input_offsets[:, 0], input_offsets[:, 1]
lg, rg = target_offsets[:, 0], target_offsets[:, 1]
# intersection key points
lkis = torch.min(lp, lg)
rkis = torch.min(rp, rg)
# iou
intsctk = rkis + lkis
unionk = (lp + rp) + (lg + rg) - intsctk
iouk = intsctk / unionk.clamp(min=eps)
# smallest enclosing box
lc = torch.max(lp, lg)
rc = torch.max(rp, rg)
len_c = lc + rc
# offset between centers
rho = 0.5 * (rp - lp - rg + lg)
# diou
loss = 1.0 - iouk + torch.square(rho / len_c.clamp(min=eps))
if reduction == "mean":
loss = loss.mean() if loss.numel() > 0 else 0.0 * loss.sum()
elif reduction == "sum":
loss = loss.sum()
return loss