Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention
Not on the map. Why?
Cited by 117 in State-space sequence models (S4, Mamba), but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
Transformers achieve remarkable performance in several tasks but due to their quadratic complexity, with respect to the input's length, they are prohibitively slow for very long sequences. To address this limitation, we express the self-attention as a linear dot-product of kernel feature maps and make use of the associativity property of matrix products to reduce the complexity from Oleft(N2right) to Oleft(Nright), where N is the sequence length. We show that this formulation permits an iterative implementation that dramatically accelerates autoregressive transformers and reveals their relationship to recurrent neural networks. Our linear transformers achieve similar performance to vanilla transformers and they are up to 4000x faster on autoregressive prediction of very long sequences.
Key facts. Cited by 1,979 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Jun 2020.
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Citing papers per year: 2021: 138; 2022: 181; 2023: 255; 2024: 406; 2025: 455; 2026: 544.
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