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We introduce KV-Fold, a simple, training-free long-context inference protocol that treats the key-value (KV) cache as the accumulator in a left fold over sequence chunks. At each step, the model processes the next chunk conditioned on the…

Machine Learning · Computer Science 2026-05-13 Alireza Nadali , Patrick Cooper , Ashutosh Trivedi , Alvaro Velasquez

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

Large Language Models (LLMs) face a significant bottleneck during autoregressive inference due to the massive memory footprint of the Key-Value (KV) cache. Existing compression techniques like token eviction, quantization, or other low-rank…

Machine Learning · Computer Science 2025-11-25 Santhosh G S , Saurav Prakash , Balaraman Ravindran

KV cache in autoregressive LLMs eliminates redundant recomputation but has emerged as the dominant memory and bandwidth bottleneck during inference, notably with long contexts and test-time scaling. KV quantization is a key lever for…

Machine Learning · Computer Science 2026-02-03 Ji Zhang , Yiwei Li , Shaoxiong Feng , Peiwen Yuan , Xinglin Wang , Jiayi Shi , Yueqi Zhang , Chuyi Tan , Boyuan Pan , Yao Hu , Kan Li

With the skyrocketing costs of GPUs and their virtual instances in the cloud, there is a significant desire to use CPUs for large language model (LLM) inference. KV cache update, often implemented as allocation, copying, and in-place…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-18 Arun Ramachandran , Ramaswamy Govindarajan , Murali Annavaram , Prakash Raghavendra , Hossein Entezari Zarch , Lei Gao , Chaoyi Jiang

The key-value (KV) cache is widely treated as essential state in transformer inference, and a large body of work engineers policies to compress, evict, or approximate its entries. We prove that this state is entirely redundant: keys and…

Machine Learning · Computer Science 2026-03-23 Kaleem Ullah Qasim , Jiashu Zhang , Muhammad Kafeel Shaheen , Razan Alharith , Heying Zhang

Large Vision Language Models show impressive performance across image and video understanding tasks, yet their computational cost grows rapidly with the number of visual tokens. Existing token pruning methods mitigate this issue through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Dong-Jae Lee , Sunghyun Baek , Junmo Kim

Context lengths of Large Language Models (LLMs) have exploded in recent years, with 128k-token context becoming a standard and million-token context becoming a reality. Efficiently supporting long-context inference remains challenging as…

Computation and Language · Computer Science 2024-10-08 Isaac Rehg

We demonstrate that unstructured sparsity significantly improves KV cache compression for LLMs, enabling sparsity levels up to 70% without compromising accuracy or requiring fine-tuning. We conduct a systematic exploration of pruning…

Machine Learning · Computer Science 2025-11-07 Donghyeon Joo , Helya Hosseini , Ramyad Hadidi , Bahar Asgari

Key-Value (KV) Caching has become an essential technique for accelerating the inference speed and throughput of generative Large Language Models~(LLMs). However, the memory footprint of the KV cache poses a critical bottleneck in LLM…

Machine Learning · Computer Science 2024-02-29 June Yong Yang , Byeongwook Kim , Jeongin Bae , Beomseok Kwon , Gunho Park , Eunho Yang , Se Jung Kwon , Dongsoo Lee

Recent reasoning models such as OpenAI-o1 and DeepSeek-R1 have shown strong performance on complex tasks including mathematical reasoning and code generation. However, this performance gain comes with substantially longer output sequences,…

Machine Learning · Computer Science 2026-04-28 Yi Su , Zhenxu Tian , Dan Qiao , Yuechi Zhou , Juntao Li , Min Zhang

Stochastic Approximation (SA) is a popular approach for solving fixed-point equations where the information is corrupted by noise. In this paper, we consider an SA involving a contraction mapping with respect to an arbitrary norm, and show…

Machine Learning · Computer Science 2021-07-01 Zaiwei Chen , Siva Theja Maguluri , Sanjay Shakkottai , Karthikeyan Shanmugam

Vision-Language Models suffer severe KV cache pressure at inference, as a single image often encodes into thousands of tokens. Most existing methods exploit token sparsity through token pruning, but permanently discarding visual content…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Beomseok Kang , Dongwon Jo , Jiwon Song , Donghwee Son , Jae-Joon Kim

The Key-Value (KV) cache is central to the efficiency of transformer-based large language models (LLMs), storing previously computed vectors to accelerate inference. Yet, as sequence length and batch size grow, the cache becomes a major…

Machine Learning · Computer Science 2025-12-08 Damien Lesens , Beheshteh T. Rakhshan , Guillaume Rabusseau

Methods based on weight compensation, which iteratively apply quantization and weight compensation to minimize the output error, have recently demonstrated remarkable success in quantizing Large Language Models (LLMs). The representative…

Machine Learning · Computer Science 2026-04-10 Shuaiting Li , Juncan Deng , Kedong Xu , Rongtao Deng , Hong Gu , Minghan Jiang , Haibin Shen , Kejie Huang

Memory consumption of the Key-Value (KV) cache represents a major bottleneck for efficient large language model inference. While attention-score-based KV cache pruning shows promise, it faces critical practical limitations: attention scores…

Artificial Intelligence · Computer Science 2025-10-02 Alessio Devoto , Maximilian Jeblick , Simon Jégou

Large language models rely on kv-caches to avoid redundant computation during autoregressive decoding, but as context length grows, reading and writing the cache can quickly saturate GPU memory bandwidth. Recent work has explored KV-cache…

Computation and Language · Computer Science 2026-02-10 Jian Chen , Zhuoran Wang , Jiayu Qin , Ming Li , Meng Wang , Changyou Chen , Yin Chen , Qizhen Weng , Yirui Liu

KV cache eviction has emerged as an effective solution to alleviate resource constraints faced by LLMs in long-context scenarios. However, existing token-level eviction methods often overlook two critical aspects: (1) their irreversible…

Machine Learning · Computer Science 2026-01-21 Yi Zhao , Yajuan Peng , Cam-Tu Nguyen , Zuchao Li , Xiaoliang Wang , Hai Zhao , Xiaoming Fu

We revisit the error correction scheme of real-valued signals when the codeword is corrupted by gross errors on a fraction of entries and a small noise on all the entries. Combining the recent developments of approximate message passing and…

Information Theory · Computer Science 2014-02-04 Jean Barbier , Florent Krzakala , Lenka Zdeborová , Pan Zhang

The decoder-only Transformer architecture with causal masking and relative position encoding (RPE) has become the de facto choice in language modeling. Despite its exceptional performance across various tasks, we have identified two…

Computation and Language · Computer Science 2024-02-08 Qingyu Yin , Xuzheng He , Xiang Zhuang , Yu Zhao , Jianhua Yao , Xiaoyu Shen , Qiang Zhang