BART is a denoising autoencoder for pretraining sequence-to-sequence models. It is trained by (1) corrupting text with an arbitrary noising function, and (2) learning a model to reconstruct the original text. It uses a standard Transformer-based neural machine translation architecture. It uses a standard seq2seq/NMT architecture with a bidirectional encoder (like BERT) and a left-to-right decoder (like GPT). This means the encoder's attention mask is fully visible, like BERT, and the decoder's attention mask is causal, like GPT2.
Reformer is a Transformer based architecture that seeks to make efficiency improvements. Dot-product attention is replaced by one that uses locality-sensitive hashing, changing its complexity from O($L^2$) to O($L\log L$), where $L$ is the length of the sequence. Furthermore, Reformers use reversible residual layers instead of the standard residuals, which allows storing activations only once in the training process instead of $N$ times, where $N$ is the number of layers.
LayerDrop is a form of structured dropout for Transformer models which has a regularization effect during training and allows for efficient pruning at inference time. It randomly drops layers from the Transformer according to an "every other" strategy where pruning with a rate $p$ means dropping the layers at depth $d$ such that $d = 0\left\(\text{mod}\left(\text{floor}\left(\frac{1}{p}\right)\right)\right)$.
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