Source code for torchvision.ops.focal_loss

import torch
import torch.nn.functional as F

from ..utils import _log_api_usage_once


def sigmoid_focal_loss(
    inputs: torch.Tensor,
    targets: torch.Tensor,
    alpha: float = 0.25,
    gamma: float = 2,
    reduction: str = "none",
) -> torch.Tensor:
    """
    Loss used in RetinaNet for dense detection: https://arxiv.org/abs/1708.02002.

    Args:
        inputs (Tensor): A float tensor of arbitrary shape.
                The predictions for each example.
        targets (Tensor): 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 (float): Weighting factor in range (0,1) to balance
                positive vs negative examples or -1 for ignore. Default: ``0.25``.
        gamma (float): Exponent of the modulating factor (1 - p_t) to
                balance easy vs hard examples. Default: ``2``.
        reduction (string): ``'none'`` | ``'mean'`` | ``'sum'``
                ``'none'``: No reduction will be applied to the output.
                ``'mean'``: The output will be averaged.
                ``'sum'``: The output will be summed. Default: ``'none'``.
    Returns:
        Loss tensor with the reduction option applied.
    """
    # Original implementation from https://github.com/facebookresearch/fvcore/blob/master/fvcore/nn/focal_loss.py
    if not torch.jit.is_scripting() and not torch.jit.is_tracing():
        _log_api_usage_once(sigmoid_focal_loss)
    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