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arXiv · 2610.11214

Bridging KV-Cache Quantization and Linear Attention: From Theory to Pretrained Weight Migration

Kaicheng Xiao·Liran Dong·Haotian Li·Guoliang Xing
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Abstract

KV-cache quantization and linear attention are two representative approaches to tackling the storage and computational costs of Transformers. KV-cache quantization compresses individual KV entries into discrete codes but retains all entries, whereas linear attention recurrently aggregates multiple historical KV contributions into a fixed-size continuous state but can introduce interference. This contrast raises the question of whether per-KV compression and multi-KV aggregation can be bridged within a single mechanism for efficient attention. We identify RAM-Net as such a bridge through soft assignments over a discrete address space. These assignments determine recurrent updates to the continuous slot state associated with each address. Under a restricted RAM-Net construction, we prove that soft address assignments extend hard quantized matching to a separable read-write overlap that locally approximates full-attention similarity and supports recurrent aggregation. These connections further enable Transformer-to-RAM-Net weight migration through a new path based on a soft-quantized intermediate construction. Across nine pretrained Transformer models from 0.3B to 7B parameters, RAM-Net recovers an average of 87.1% of the teachers' accuracy gains over random guessing across six commonsense and knowledge tasks using only a 500M-token budget per model.

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Kaicheng Xiao, Liran Dong, Haotian Li, Guoliang Xing. 2026-10-08. Bridging KV-Cache Quantization and Linear Attention: From Theory to Pretrained Weight Migration. https://arxiv.org/abs/2610.11214

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