Triplet loss in Pytorch

The equation of triplet loss is:

I am trying to implement in this way:

type or paste coclass TripletLoss(nn.Module):
    Triplet loss
    Takes embeddings of an anchor sample, a positive sample and a negative sample

    def __init__(self, margin = 1.0):
        super(TripletLoss, self).__init__()
        self.margin = margin

    def forward(self, anchor, positive, negative, size_average=True):
        distance_positive = (anchor - positive).pow(2).sum(1)  # .pow(.5)
        distance_negative = (anchor - negative).pow(2).sum(1)  # .pow(.5)
        losses = F.relu(distance_positive - distance_negative + self.margin)
        return losses.mean() if size_average else losses.sum()
de here

Another implementation is like that:

class TripletLoss(nn.Module):
    """Triplet loss with hard positive/negative mining.
    Hermans et al. In Defense of the Triplet Loss for Person Re-Identification. arXiv:1703.07737.
    Code imported from
        margin (float): margin for triplet.

    def __init__(self, margin=0.3, mutual_flag=False):
        super(TripletLoss, self).__init__()
        self.margin = margin
        self.ranking_loss = nn.MarginRankingLoss(margin=margin) = mutual_flag

    def forward(self, inputs, targets):
            inputs: feature matrix with shape (batch_size, feat_dim)
            targets: ground truth labels with shape (num_classes)
        n = inputs.size(0)
        # inputs = 1. * inputs / (torch.norm(inputs, 2, dim=-1, keepdim=True).expand_as(inputs) + 1e-12)
        # Compute pairwise distance, replace by the official when merged
        dist = torch.pow(inputs, 2).sum(dim=1, keepdim=True).expand(n, n)
        dist = dist + dist.t()
        dist.addmm_(1, -2, inputs, inputs.t())
        dist = dist.clamp(min=1e-12).sqrt()  # for numerical stability
        # For each anchor, find the hardest positive and negative
        mask = targets.expand(n, n).eq(targets.expand(n, n).t())
        dist_ap, dist_an = [], []
        for i in range(n):
            dist_an.append(dist[i][mask[i] == 0].min().unsqueeze(0))
        dist_ap =
        dist_an =
        # Compute ranking hinge loss
        y = torch.ones_like(dist_an)
        loss = self.ranking_loss(dist_an, dist_ap, y)
            return loss, dist
        return loss

I understand the first way easily but I am little bit confused in the second way. Can you explain a how can I modify the second one. For an example I need to get another pair consisiting of two negative images. AHow can I get in second way?

1 Like

I have the same question.
Any suggestion?

From Here:
The Margin Ranking Loss measures the loss given inputs x1, x2 , and a label tensor y with values (1 or -1). If y == 1 then it assumed the first input should be ranked higher than the second input, and vice-versa for y == -1.

There is a 3rd way which IMHO is the default way of doing it and that is :

def triple_loss(a, p, n, margin=0.2) : 
    d = nn.PairwiseDistance(p=2)
    distance = d(a, p) - d(a, n) + margin 
    loss = torch.mean(torch.max(distance, torch.zeros_like(distance))) 
    return loss