cs.CLAug 7, 2026

Autonomy-of-Heads: Data-Free Sparse Attention from Frozen Query-Key Geometry

Authors: Yehan Yang, Junyuan Shang, Yang Li, Guanqun Zhao, Shuohuan Wang, Dianhai Yu

Organizations: Institute of Computing Technology, Chinese Academy of Sciences · University of Chinese Academy of Sciences · Baidu Inc. · Beijing University of Posts and Telecommunications

Abstract

Long-context LLM inference is bottlenecked by quadratic attention computation and growing KV-cache costs. Existing sparse attention and KV-compression methods typically decide which tokens or heads to preserve from runtime attention scores, observation windows, calibration prompts, or learned gates, making head diagnosis input-dependent and costly to deploy. We propose Autonomy-of-Heads (AoH), a data-free method that identifies retrieval and streaming heads from the spectral geometry of query-key projections. AoH defines the kernel attention operator Mh=WKh⊤WQhM_h = W_K^{h\top}W_Q^h and uses its effective-rank as a weight-space measure of head function: concentrated spectra indicate a small number of dominant query-key matching directions and are associated with retrieval heads, whereas diffuse spectra indicate the absence of a dominant global matching direction and are associated with streaming heads. We further derive an efficient dheadd_\text{head}-dimensional computation that avoids constructing the full dmodel×dmodeld_\text{model}\times d_\text{model} matrix. We conducted extensive experiments across models demonstrating that at 50% sparsity, AoH retains 96.5% of Full Attention performance on average while reducing prefill and decode latency by up to 41.4% and 66.0%, respectively, and KV-cache memory by 50.0% at 256K tokens.

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