Sparse Sinkhorn Attention

Introduction:

Attention mechanisms have become very popular in deep learning models because they can learn to focus on important parts of the input. However, the standard attention mechanism can require a lot of memory and computation, which can make it difficult to use in large-scale models. To address this issue, a new attention mechanism called Sparse Sinkhorn Attention has been proposed that is capable of learning sparse attention outputs and reducing the memory complexity of the dot-product attention mechanism.

What is Sparse Sinkhorn Attention?

Sparse Sinkhorn Attention (SSA) is an attention mechanism that aims to reduce the memory complexity of the dot-product attention mechanism by incorporating a meta sorting network. This network learns to rearrange and sort input sequences, and the Sinkhorn normalization is used to normalize the rows and columns of the sorting matrix. The actual SSA attention mechanism then acts on the block sorted sequences.

How Does Sparse Sinkhorn Attention Work?

The traditional attention mechanism works by calculating the dot product between the query and the key vectors of each input token, and then using that to weight the value vectors to produce the attention output. The memory complexity of this method becomes an issue when we have a lot of input tokens, making it difficult to scale to larger models.

Sparse Sinkhorn Attention addresses this issue by using a differentiable sorting network within the self-attention mechanism. This network sorts the input tokens based on their similarity to the query vector. By doing this, it reduces the number of tokens that need to be considered to produce the attention output. The sorting network is trained to weigh the input tokens in a way that maximizes the similarity between the query vector and the sorted tokens.

The Sinkhorn normalization is used to normalize the rows and columns of the sorting matrix, which ensures that the output is also normalized. This helps prevent the attention mechanism from overemphasizing certain input tokens and ignoring others.

Benefits of Sparse Sinkhorn Attention

The primary benefit of Sparse Sinkhorn Attention is its ability to reduce the memory complexity of the attention mechanism. This makes it possible to use attention in larger-scale models without running into memory limitations.

Another benefit of SSA is that it can learn sparse attention outputs. This means that it can learn to focus only on the most relevant input tokens, improving the accuracy of the attention mechanism while reducing its computational cost.

Applications of Sparse Sinkhorn Attention

Sparse Sinkhorn Attention has already shown promising results in several natural language processing (NLP) tasks, including machine translation, text classification, and language modeling.

In machine translation, SSA has been used to improve the quality of translations by allowing the model to focus more on the most relevant parts of the input sentence. In text classification, SSA has been used to classify documents by focusing on the most important words in each document. In language modeling, SSA has been used to generate more accurate and coherent sentences by allowing the model to focus on the most relevant words in each sentence.

Conclusion:

Sparse Sinkhorn Attention is a promising attention mechanism that can reduce the memory complexity of the traditional dot-product attention mechanism, while also learning sparse attention outputs. Its ability to focus only on the most relevant input tokens makes it an ideal candidate for large-scale NLP models where memory and computation are crucial. SSA has already shown promising results in several NLP tasks and has the potential to be a major breakthrough in deep learning models.

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