Prism: Spectral-Aware Block-Sparse Attention

Fuente: arXiv
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Autores principales: Wang, Xinghao, Wang, Pengyu, Liu, Xiaoran, Liu, Fangxu, Chu, Jason, Song, Kai, Qiu, Xipeng
Formato: Preprint
Publicado: 2026
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author Wang, Xinghao
Wang, Pengyu
Liu, Xiaoran
Liu, Fangxu
Chu, Jason
Song, Kai
Qiu, Xipeng
author_facet Wang, Xinghao
Wang, Pengyu
Liu, Xiaoran
Liu, Fangxu
Chu, Jason
Song, Kai
Qiu, Xipeng
contents Block-sparse attention is promising for accelerating long-context LLM pre-filling, yet identifying relevant blocks efficiently remains a bottleneck. Existing methods typically employ coarse-grained attention as a proxy for block importance estimation, but often resort to expensive token-level searching or scoring, resulting in significant selection overhead. In this work, we trace the inaccuracy of standard coarse-grained attention via mean pooling to a theoretical root cause: the interaction between mean pooling and Rotary Positional Embeddings (RoPE). We prove that mean pooling acts as a low-pass filter that induces destructive interference in high-frequency dimensions, effectively creating a "blind spot" for local positional information (e.g., slash patterns). To address this, we introduce Prism, a training-free spectral-aware approach that decomposes block selection into high-frequency and low-frequency branches. By applying energy-based temperature calibration, Prism restores the attenuated positional signals directly from pooled representations, enabling block importance estimation using purely block-level operations, thereby improving efficiency. Extensive evaluations confirm that Prism maintains accuracy parity with full attention while delivering up to $\mathbf{5.1\times}$ speedup.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08426
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Prism: Spectral-Aware Block-Sparse Attention
Wang, Xinghao
Wang, Pengyu
Liu, Xiaoran
Liu, Fangxu
Chu, Jason
Song, Kai
Qiu, Xipeng
Computation and Language
Artificial Intelligence
Computer Vision and Pattern Recognition
Block-sparse attention is promising for accelerating long-context LLM pre-filling, yet identifying relevant blocks efficiently remains a bottleneck. Existing methods typically employ coarse-grained attention as a proxy for block importance estimation, but often resort to expensive token-level searching or scoring, resulting in significant selection overhead. In this work, we trace the inaccuracy of standard coarse-grained attention via mean pooling to a theoretical root cause: the interaction between mean pooling and Rotary Positional Embeddings (RoPE). We prove that mean pooling acts as a low-pass filter that induces destructive interference in high-frequency dimensions, effectively creating a "blind spot" for local positional information (e.g., slash patterns). To address this, we introduce Prism, a training-free spectral-aware approach that decomposes block selection into high-frequency and low-frequency branches. By applying energy-based temperature calibration, Prism restores the attenuated positional signals directly from pooled representations, enabling block importance estimation using purely block-level operations, thereby improving efficiency. Extensive evaluations confirm that Prism maintains accuracy parity with full attention while delivering up to $\mathbf{5.1\times}$ speedup.
title Prism: Spectral-Aware Block-Sparse Attention
topic Computation and Language
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.08426