[Submitted on 2 Sep 2026]
Title:Modern Transformers Are Implicit Hybrids: From Functional Differentiation to Principled Hybrid Architecture Design
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Abstract:Hybrid architectures combining Full Attention (FA) and Linear Attention (LA) are increasingly prominent, yet their allocation remains heuristic. We seek an evidence-grounded basis in head-level functional organization learned by RoPE-based Transformers. Behavioral probes do not yield a complete taxonomy, so we propose two intervention metrics: RoPE Frequency Importance Score (RFIS), measuring how each frequency affects a head's attention distribution, and RoPE Positional Dependence (RPD), isolating dependence on rotary positional modulation. On Qwen3-series models and Llama3.1, RFIS suggests and RPD verifies a complete taxonomy of retrieval and positional heads separated by a salient mid-low-frequency band. Controlled Transformers show that this boundary follows the training-length positional scale; we term it the Global Positional Band (GPBand). The analysis suggests a potential cause of zero-shot length-extrapolation failure and yields two principles: positional modeling should operate only locally, with global access through position-independent retrieval; and both functions should be assigned at head granularity with layer-specific allocation. We instantiate them in Head-wise Hybrid Architecture (HwH), using NoPE FA for global retrieval and LA for local positional modeling. With an FA-to-LA ratio below 1:3, HwH retains strong language modeling and commonsense reasoning while improving retrieval and substantially strengthening zero-shot long-context extrapolation over Transformer, LA, and a layer-wise hybrid baseline. Ablations validate both principles and component roles, highlighting principled hybrid architecture design as a promising route toward future foundation models.
Comments: 24 pages, 15 figures, 8 tables
Subjects:
Machine Learning (cs.LG)
Cite as: arXiv:2609.02986 [cs.LG]
(or arXiv:2609.02986v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2609.02986
arXiv-issued DOI via DataCite (pending registration)
Submission history
From: Runlin Shi [view email] [v1] Wed, 2 Sep 2026 14:49:30 UTC (1,042 KB)
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