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The key-value (KV) cache in the tensor version of transformers presents a significant bottleneck during inference. While previous work analyzes the fundamental space complexity barriers in standard attention mechanisms [Haris and Onak,…

Machine Learning · Computer Science 2025-03-28 Yifang Chen , Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song , Yu Tian

Large Language Models (LLMs) are increasingly expected to operate over long contexts, yet standard softmax attention incurs a KV cache that grows linearly with sequence length, quickly becoming the bottleneck for long context inference. A…

Computation and Language · Computer Science 2026-05-26 Xintong Yang , Hao Gu , Binxing Xu , Lujun Li , Bei Liu , Jiacheng Liu , Qiyuan Zhu , Sirui Han , Yike Guo

Linear-attention models that compress the entire input sequence into a fixed-size recurrent state offer an efficient alternative to Transformers, but their finite memory induces forgetfulness that harms retrieval-intensive tasks. To…

Computation and Language · Computer Science 2025-10-27 Mutian He , Philip N. Garner

Transformers process images and videos by flattening space and time into long token sequences. While attention and KV caching preserve past features, their memory grows with sequence length and they lack an explicit, persistent spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Kabir Swain , Sijie Han , Daniel Karl I. Weidele , Mauro Martino , Antonio Torralba

The transformer's context window is vital for tasks such as few-shot learning and conditional generation as it preserves previous tokens for active memory. However, as the context lengths increase, the computational costs grow…

Computation and Language · Computer Science 2025-04-01 Jeffrey Willette , Heejun Lee , Youngwan Lee , Myeongjae Jeon , Sung Ju Hwang

Transformers have become central to natural language processing and large language models, but their deployment at scale faces three major challenges. First, the attention mechanism requires massive matrix multiplications and frequent…

Hardware Architecture · Computer Science 2026-01-22 Xiaoxuan Yang , Peilin Chen , Tergel Molom-Ochir , Yiran Chen

Scaling language models to handle longer input sequences typically necessitates large key-value (KV) caches, resulting in substantial memory overhead during inference. In this paper, we propose Tensor Product Attention (TPA), a novel…

Computation and Language · Computer Science 2026-01-13 Yifan Zhang , Yifeng Liu , Huizhuo Yuan , Zhen Qin , Yang Yuan , Quanquan Gu , Andrew Chi-Chih Yao

Modern autoregressive models rely on attention, yet the Softmax full attention in Transformers scales quadratically with sequence length. Sliding Window Attention (SWA) achieves linear-time encoding/decoding by constraining the attention…

Machine Learning · Computer Science 2026-01-08 Jiaxu Liu , Yuhe Bai , Xiangyu Yin , Christos-Savvas Bouganis

Transformers, while powerful, suffer from quadratic computational complexity and the ever-growing Key-Value (KV) cache of the attention mechanism. This paper introduces Trellis, a novel Transformer architecture with bounded memory that…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Ali Behrouz , Praneeth Kacham , Vahab Mirrokni

The key-value (KV) cache is a major bottleneck in long-context inference, where memory and computation grow with sequence length. Existing KV eviction methods reduce this cost but typically degrade performance relative to full-cache…

Machine Learning · Computer Science 2026-05-12 Ngoc Bui , Hieu Trung Nguyen , Arman Cohan , Rex Ying

As context windows in LLMs scale to 100K+ tokens, the key-value (KV) cache becomes the dominant memory bottleneck, with recent methods claiming 80-90% savings and minimal benchmark degradation. We argue these evaluations miss a structural…

Computation and Language · Computer Science 2026-03-03 Samhruth Ananthanarayanan , Ayan Sengupta , Tanmoy Chakraborty

Long-sequence modeling faces a fundamental trade-off between the efficiency of compressive fixed-size memory in RNN-like models and the fidelity of lossless growing memory in attention-based Transformers. Inspired by the Multi-Store Model…

Computation and Language · Computer Science 2025-12-18 Yunhao Fang , Weihao Yu , Shu Zhong , Qinghao Ye , Xuehan Xiong , Lai Wei

As LLMs have become capable of processing more complex types of inputs, researchers have recently studied how to efficiently and affordably process possibly arbitrarily long sequences. One effective approach is to use a FIFO memory to store…

Computation and Language · Computer Science 2024-01-11 Zi Yang , Nan Hua

A key limitation of autoregressive Transformers is the large memory needed at inference-time to cache all previous key-value (KV) embeddings. Prior works address this by compressing the KV cache, but often assume specific structural…

Data Structures and Algorithms · Computer Science 2025-02-25 Themistoklis Haris , Krzysztof Onak

Huge memory consumption has been a major bottleneck for deploying high-throughput large language models in real-world applications. In addition to the large number of parameters, the key-value (KV) cache for the attention mechanism in the…

Computation and Language · Computer Science 2024-06-05 Haoyi Wu , Kewei Tu

The key-value (KV) cache is the dominant memory bottleneck during Transformer inference, yet little is known theoretically about how aggressively it can be compressed before multi-step reasoning degrades. We study this through $k$-hop…

Machine Learning · Computer Science 2026-04-21 Xiao Wang

Large language models (LLMs) excel at processing long sequences, boosting demand for key-value (KV) caching. While recent efforts to evict KV cache have alleviated the inference burden, they often fail to allocate resources rationally…

Computation and Language · Computer Science 2025-12-25 Ziran Qin , Yuchen Cao , Mingbao Lin , Wen Hu , Shixuan Fan , Ke Cheng , Weiyao Lin , Jianguo Li

As Large Language Models (LLMs) scale in size and context length, the memory requirements of the key value (KV) cache have emerged as a major bottleneck during autoregressive decoding. The KV cache grows with sequence length and embedding…

Machine Learning · Computer Science 2025-12-09 Sourjya Roy , Shrihari Sridharan , Surya Selvam , Anand Raghunathan

KV cache growth is a major bottleneck for long-context inference in large language models. Existing methods are often dominated by binary eviction or representation approximation, which may underutilize tokens that are not critical for…

Machine Learning · Computer Science 2026-05-25 Yuping Lin , Jiayuan Ding , Yue Xing , Pengfei He , Jiliang Tang , Subhabrata Mukherjee

Large language models (LLMs) utilize key-value (KV) cache to store historical information during sequence processing. The size of KV cache grows linearly as the length of the sequence extends, which seriously affects memory usage and…

Computation and Language · Computer Science 2026-01-16 Yijun Liu , Yixuan Wang , Yuzhuang Xu , Shiyu Ji , Yang Xu , Qingfu Zhu , Wanxiang Che
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