AI Briefing
KO

SSOG Attention Released to Reduce SDPA Complexity

·2026.08.16 19:06

Key point

A new attention mechanism called SSOG has been released, improving SDPA's $O(N^2)$ complexity to $O(N\sqrt{N})$.

Details

SSOG (Sum Of Separable Gaussians) is a new attention mechanism proposed to address the $O(N^2 \cdot d)$ complexity issue of existing SDPA (Scaled Dot-Product Attention).

This approach learns a small number of Gaussian atoms for each head and geometrically adjusts them based on query tokens. By leveraging the fact that Gaussian atoms can be factorized into a separable sum, it reduces computational complexity to $O(N \cdot \sqrt{N} \cdot d)$.

Key Features and Performance:

  • Dataset Performance: It outperforms SDPA on smaller datasets like CIFAR-100, and shows comparable performance with faster convergence on larger datasets like ImageNet-1k (IN1k).
  • Efficiency: It exhibits lower memory usage and faster processing speeds as the model scale increases.

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