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Eigen Attention: Attention in Low-Rank Space for KV Cache Compression

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arxiv 2408.05646 v2 pith:24HWZK72 submitted 2024-08-10 cs.LG cs.AIcs.CL

Eigen Attention: Attention in Low-Rank Space for KV Cache Compression

classification cs.LG cs.AIcs.CL
keywords attentioncacheeigencompressioncontextlanguagelargelengths
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Large language models (LLMs) represent a groundbreaking advancement in the domain of natural language processing due to their impressive reasoning abilities. Recently, there has been considerable interest in increasing the context lengths for these models to enhance their applicability to complex tasks. However, at long context lengths and large batch sizes, the key-value (KV) cache, which stores the attention keys and values, emerges as the new bottleneck in memory usage during inference. To address this, we propose Eigen Attention, which performs the attention operation in a low-rank space, thereby reducing the KV cache memory overhead. Our proposed approach is orthogonal to existing KV cache compression techniques and can be used synergistically with them. Through extensive experiments over OPT, MPT, and Llama model families, we demonstrate that Eigen Attention results in up to 40% reduction in KV cache sizes and up to 60% reduction in attention operation latency with minimal drop in performance. Code is available at https://github.com/UtkarshSaxena1/EigenAttn.

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. STAR-KV: Low-Rank KV Cache Compression via Soft Thresholding for Adaptive Rank Control

    cs.LG 2026-06 unverdicted novelty 7.0

    STAR-KV applies differentiable soft thresholding for per-head and per-block adaptive low-rank KV cache compression, combined with hybrid decomposition and low-rank-aware quantization, achieving up to 75% compression a...

  2. PhyCheck: Fine-Grained Evidence-Grounded Dataset for Physical Law Understanding in Video-LLMs

    cs.CV 2026-08 conditional novelty 6.0

    PhyCheck is a 69,825-pair video QA benchmark that tests and improves Video-LLMs' ability to judge whether events obey physical laws, with fine-grained evidence questions and a context-sensitivity pilot.

  3. EinSort: Sorting is All We Need for Tensorizing LLM

    cs.LG 2026-06 unverdicted novelty 5.0

    Sorting tensor indices enables an adaptive tensorization method that discovers low-rank structure in LLM weights and KV caches, yielding better reconstruction quality than baselines.

  4. KVCapsule: Efficient Sequential KV Cache Compression for Vision-Language Models with Asymmetric Redundancy

    cs.CV 2026-05 unverdicted novelty 5.0

    KVCapsule compresses KV cache in VLMs by 60% to deliver up to 2x higher tokens-per-second and 2.4x memory reduction with negligible accuracy loss.

  5. AQUA: Attention via QUery mAgnitudes for Memory and Compute Efficient Inference in LLMs

    cs.LG 2025-09 conditional novelty 5.0

    A training-free method that prunes low-magnitude dimensions of projected query/key vectors in attention, cutting dot-product cost by 25% with small benchmark degradation.