Loss Functions

Triplet Loss

Introduced by Dong et al. in Triplet Loss in Siamese Network for Object Tracking

The goal of Triplet loss, in the context of Siamese Networks, is to maximize the joint probability among all score-pairs i.e. the product of all probabilities. By using its negative logarithm, we can get the loss formulation as follows:

$$ L_{t}\left(\mathcal{V}_{p}, \mathcal{V}_{n}\right)=-\frac{1}{M N} \sum_{i}^{M} \sum_{j}^{N} \log \operatorname{prob}\left(v p_{i}, v n_{j}\right) $$

where the balance weight $1/MN$ is used to keep the loss with the same scale for different number of instance sets.

Source: Triplet Loss in Siamese Network for Object Tracking

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