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Key-Value (KV) caching is a common technique to enhance the computational efficiency of Large Language Models (LLMs), but its memory overhead grows rapidly with input length. Prior work has shown that not all tokens are equally important…

Computation and Language · Computer Science 2025-10-24 Yu Fu , Zefan Cai , Abedelkadir Asi , Wayne Xiong , Yue Dong , Wen Xiao

Vector quantization (VQ) is a key component in discrete tokenizers for image generation, but its training is often unstable due to straight-through estimation bias, one-step-behind updates, and sparse codebook gradients, which lead to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Yifan Chang , Jie Qin , Limeng Qiao , Xiaofeng Wang , Zheng Zhu , Lin Ma , Xingang Wang

Large Language Models (LLMs) use key-value (KV) cache to reduce redundant computation in autoregressive generation. However, the KV cache size increases linearly during generation, leading to excessive memory usage, especially for long…

Computation and Language · Computer Science 2025-03-04 Jian Yuan , Ziwei He , Haoli Bai , Jingwen Leng , Bo Jiang

Vector Quantization (VQ) is essential for discretizing continuous representations in unsupervised learning but suffers from representation collapse, causing low codebook utilization and limiting scalability. Existing solutions often rely on…

Machine Learning · Computer Science 2025-10-06 Yongxin Zhu , Bocheng Li , Yifei Xin , Zhihua Xia , Linli Xu

We present Channel-wise Vector Quantization (CVQ), a novel image tokenization paradigm that replaces patch-wise tokens with channel-wise tokens. Unlike conventional vector quantization, which assigns a discrete token to each patch feature…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Wei Song , Tianhang Wang , Yitong Chen , Tong Zhang , Zuxuan Wu , Ming Li , Jiaqi Wang , Kaicheng Yu

Vector Quantization (VQ) is a well-known technique in deep learning for extracting informative discrete latent representations. VQ-embedded models have shown impressive results in a range of applications including image and speech…

Machine Learning · Computer Science 2023-10-05 Tanmay Gautam , Reid Pryzant , Ziyi Yang , Chenguang Zhu , Somayeh Sojoudi

We propose \textbf{Hurwitz Quaternion Multiplicative Quantization (HQMQ)}, a \textbf{calibration-free} method for KV cache compression of large language models. HQMQ treats each 4-element chunk of K or V as a quaternion and quantizes its…

Machine Learning · Computer Science 2026-05-28 Kabir Swain , Sijie Han , Daniel Karl I. Weidele , Mauro Martino , David Cox , Antonio Torralba

This paper describes an entropy regularization term for vector quantization (VQ) based on the analysis of persistent homology of the VQ embeddings. Higher embedding entropy positively correlates with higher codebook utilization, mitigating…

Machine Learning · Computer Science 2022-11-29 Ivan Volkov

Graphical user interface (GUI) agents built on vision-language models have emerged as a promising approach to automate human-computer workflows. However, they also face the inefficiency challenge as they process long sequences of…

Computation and Language · Computer Science 2025-10-02 Kung-Hsiang Huang , Haoyi Qiu , Yutong Dai , Caiming Xiong , Chien-Sheng Wu

Recently, large language models (LLMs) have been able to handle longer and longer contexts. However, a context that is too long may cause intolerant inference latency and GPU memory usage. Existing methods propose mixed-precision…

Computation and Language · Computer Science 2025-04-01 Wei Tao , Bin Zhang , Xiaoyang Qu , Jiguang Wan , Jianzong Wang

Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes exploit the noncommutative geometry of…

Quantum Physics · Physics 2008-12-18 Daniel Gottesman , Alexei Kitaev , John Preskill

Incorporating external knowledge in large language models (LLMs) enhances their utility across diverse applications, but existing methods have trade-offs. Retrieval-Augmented Generation (RAG) fetches evidence via similarity search, but key…

Computation and Language · Computer Science 2025-03-10 Giulio Corallo , Orion Weller , Fabio Petroni , Paolo Papotti

Embedding vectors are widely used for representing unstructured data and searching through it for semantically similar items. However, the large size of these vectors, due to their high-dimensionality, creates problems for modern vector…

Machine Learning · Computer Science 2025-09-24 Mariano Tepper , Ted Willke

While Key-Value (KV) cache compression is essential for efficient LLM inference, current evaluations disproportionately focus on sparse retrieval tasks, potentially masking the degradation of High-Density Reasoning where Chain-of-Thought…

Computation and Language · Computer Science 2026-05-13 Xiang Liu , Zhenheng Tang , Hong Chen , Peijie Dong , Zeyu Li , Xiuze Zhou , Bo Li , Xuming Hu , Xiaowen Chu

Quantization has become a standard tool for efficient LLM deployment, especially for local inference, where models are now routinely served at 2-3 bits per parameter. The state of the art is currently split into simple scalar quantization…

Computation and Language · Computer Science 2026-05-18 Alireza Dadgarnia , Soroush Tabesh , Mahdi Nikdan , Michael Helcig , Eldar Kurtic , Maximilian Kleinegger , Dan Alistarh

In theory, vector quantization (VQ) is always better than scalar quantization (SQ) in terms of rate-distortion (R-D) performance. Recent state-of-the-art methods for neural image compression are mainly based on nonlinear transform coding…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Runsen Feng , Zongyu Guo , Weiping Li , Zhibo Chen

In recent years, quantum computers have emerged as promising candidates for implementing kernels. Quantum Embedding Kernels embed data points into quantum states and calculate their inner product in a high-dimensional Hilbert Space by…

Quantum Physics · Physics 2025-02-13 Rodrigo Coelho , Georg Kruse , Andreas Rosskopf

The growing memory footprint of the Key-Value (KV) cache poses a severe scalability bottleneck for long-context Large Language Model (LLM) inference. While KV cache eviction has emerged as an effective solution by discarding less critical…

Computation and Language · Computer Science 2025-10-28 Jinhan Chen , Jianchun Liu , Hongli Xu , Xianjun Gao , Shilong Wang

Vectorized quantum block encoding provides a way to embed classical data into Hilbert space, offering a pathway for quantum models, such as Quantum Transformers (QT), that replace classical self-attention with quantum circuit simulations to…

Quantum Physics · Physics 2025-09-05 Ziqing Guo , Ziwen Pan , Alex Khan , Jan Balewski

Vector Quantization (VQ) underpins many modern generative frameworks such as VQ-VAE, VQ-GAN, and latent diffusion models. Yet, it suffers from the persistent problem of codebook collapse, where a large fraction of code vectors remains…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Hao Lu , Onur C. Koyun , Yongxin Guo , Zhengjie Zhu , Abbas Alili , Metin Nafi Gurcan
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