MoCo v3
MoCo v3
**MoCo v3** aims to stabilize training of self-supervised ViTs. MoCo v3 is an incremental improvement of MoCo v1/2. Two crops are used for each image under random data augmentation. They are encoded by two encoders $f_q$ and $f_k$ with output vectors $q$ and $k$. $q$ behaves like a "query", where the goal of learning is to retrieve the corresponding "key". The objective is to minimize a contrastive loss function of the following form: 

$$
\mathcal{L_q}=-\log \frac{\exp \left(q \cdot k^{+} / \tau\right)}{\exp \left(q \cdot k^{+} / \tau\right)+\sum_{k^{-}} \exp \left(q \cdot k^{-} / \tau\right)}
$$

This approach aims to train the Transformer in the contrastive/Siamese paradigm. The encoder $f_q$ consists of a backbone (e.g., ResNet and ViT), a projection head, and an extra prediction head. The encoder $f_k$ has the back the backbone and projection head but not the prediction head. $f_k$ is updated by the moving average of $f_q$, excluding the prediction head.
An Empirical Study of Training Self-Supervised Vision Transformers
https://paperswithcode.com/paper/an-empirical-study-of-training-self
An Empirical Study of Training Self-Supervised Vision Transformers