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abstract indexed · arXiv 2609.27735 · updated 2026-10-18

NS-ATTENTION: Newton-Schulz Transformations of Attention Outputs in Vision Transformers

First page of NS-ATTENTION: Newton-Schulz Transformations of Attention Outputs in Vision Transformers
From the original paper · arXiv 2609.27735Page 1. Select the image to read the PDF.

The method inserts a parameter-free Newton-Schulz polynomial step on each attention head's output matrix (after Frobenius normalization, with the norm restored afterward) between attention computation and the standard head merge and output projection, replacing nothing but augmenting that path. It adds inference latency and extra per-head matrix polynomial computation at both training and inference, with no parameters or memory overhead beyond transient buffers. Gains are demonstrated only on small-scale image classification (ViT/Swin on CIFAR), so the effect may not transfer to other modalities, larger models, or pre-trained checkpoints, and the one-versus-two-iteration ablation suggests sensitivity to the iteration count.

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recommendation
test
research area
efficient architectures
technical change
Newton-Schulz transform of attention head outputs
published
2026-09-23

The technique is cheap to implement and parameter-free, but its benefits are validated only on small vision benchmarks with modest accuracy gains and a latency cost, so it warrants a small-scale trial on the reader's own workload rather than direct adoption.

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  1. claim 01Paperraft inference
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    The method inserts a parameter-free Newton-Schulz polynomial step on each attention head's output matrix (after Frobenius normalization, with the norm restored afterward) between attention computation and the standard head merge and output projection, replacing nothing but augmenting that path. It adds inference latency and extra per-head matrix polynomial computation at both training and inference, with no parameters or memory overhead beyond transient buffers. Gains are demonstrated only on small-scale image classification (ViT/Swin on CIFAR), so the effect may not transfer to other modalities, larger models, or pre-trained checkpoints, and the one-versus-two-iteration ablation suggests sensitivity to the iteration count.

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  2. claim 02Paperraft inference

    Mean accuracy gains of 0.25-0.83 percentage points over baseline across 12 matched-seed comparisons of ViT and Swin on CIFAR-10/100, with reduced leading-eigenvalue concentration and increased effective rank.

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