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New Method Enables Constant-Cost Self-Attention Computation for Transformers

By

fheinsen

3mo ago· 2 min readenInsight

Summary

Researchers present a novel mathematical approach to compute self-attention in Transformer AI models with constant cost per token, rather than the standard quadratic scaling with context length. By exploiting symmetry in Taylor expansions and tensor product chains, they achieve orders-of-magnitude reductions in memory and computation, enabling unbounded token generation at fixed cost and reducing infrastructure demands for large-scale models.

Key quotes

· 5 pulled
The most widely used artificial intelligence (AI) models today are Transformers employing self-attention.
In its standard form, self-attention incurs costs that increase with context length, driving demand for storage, compute, and energy that is now outstripping society's ability to provide them.
We show that self-attention is efficiently computable to arbitrary precision with constant cost per token, achieving orders-of-magnitude reductions in memory use and computation.
Our work enables unbounded token generation at modest fixed cost, substantially reducing the infrastructure and energy demands of large-scale Transformer models.
The mathematical techniques we introduce are of independent interest.
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The most widely used artificial intelligence (AI) models today are Transformers employing self-attention. In its standard form, self-attention incurs costs that increase with context length, driving demand for storage, compute, and energy that is now outs

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