Understanding Reformer: The Power of Reversible Residual Layers in Transformers

 The Reformer is a type of transformer architecture introduced in the research paper titled "Reformer: The Efficient Transformer" by Nikita Kitaev, Łukasz Kaiser, and Anselm Levskaya, published in 2020. It proposes several innovations to address the scalability issues of traditional transformers, making them more efficient for long sequences.

The main idea behind the Reformer is to reduce the quadratic complexity of self-attention in the transformer architecture. Self-attention allows transformers to capture relationships between different positions in a sequence, but it requires every token to attend to every other token, leading to a significant computational cost for long sequences.

To achieve efficiency, the Reformer introduces two key components:

1. **Reversible Residual Layers**: The Reformer uses reversible residual layers. Traditional transformers apply a series of non-linear operations (like feed-forward neural networks and activation functions) that prevent direct backward computation through them, requiring the storage of intermediate activations during the forward pass. In contrast, reversible layers allow for exact reconstruction of activations during the backward pass, significantly reducing memory consumption.

2. **Locality-Sensitive Hashing (LSH) Attention**: The Reformer replaces the standard dot-product attention used in traditional transformers with a more efficient LSH attention mechanism. LSH is a technique that hashes queries and keys into discrete buckets, allowing attention computation to be restricted to only a subset of tokens, rather than all tokens in the sequence. This makes the attention computation more scalable for long sequences.

By using reversible residual layers and LSH attention, the Reformer achieves linear computational complexity with respect to the sequence length, making it more efficient for processing long sequences than traditional transformers.

However, it's worth noting that the Reformer's efficiency comes at the cost of reduced expressive power compared to standard transformers. Due to the limitations of reversible operations, the Reformer might not perform as well on tasks requiring extensive non-linear transformations or precise modeling of long-range dependencies.

In summary, the Reformer is a transformer variant that combines reversible residual layers with LSH attention to reduce the computational complexity of self-attention, making it more efficient for processing long sequences, but with some trade-offs in expressive power.