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The rapid scaling of Large Language Models (LLMs) elevates inference costs and compounds substantial deployment barriers. While quantization to 8 or 4 bits mitigates this, sub-3-bit methods face severe accuracy, scalability, and efficiency…

The rapid advancement of large language models (LLMs) has intensified the need for effective mechanisms to transform continuous multimodal data into discrete representations suitable for language-based processing. Discrete tokenization,…

Computation and Language · Computer Science 2025-08-01 Jindong Li , Yali Fu , Jiahong Liu , Linxiao Cao , Wei Ji , Menglin Yang , Irwin King , Ming-Hsuan Yang

We present a modelling framework for the investigation of prototype-based classifiers in non-stationary environments. Specifically, we study Learning Vector Quantization (LVQ) systems trained from a stream of high-dimensional, clustered…

Machine Learning · Computer Science 2019-04-08 Michael Biehl , Fthi Abadi , Christina Göpfert , Barbara Hammer

Visual Question Answering (VQA) models often perform poorly on out-of-distribution data and struggle on domain generalization. Due to the multi-modal nature of this task, multiple factors of variation are intertwined, making generalization…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Zhuowan Li , Xingrui Wang , Elias Stengel-Eskin , Adam Kortylewski , Wufei Ma , Benjamin Van Durme , Alan Yuille

Hybrid variational quantum algorithms (VQAs) are promising for solving practical problems such as combinatorial optimization, quantum chemistry simulation, quantum machine learning, and quantum error correction on noisy quantum computers.…

Variational quantum compiling (VQC) algorithms aim to approximate deep quantum circuits with shallow parameterized ansatzes, making them more suitable for NISQ hardware. In this article a variant of VQC named the recursive variational…

Quantum Physics · Physics 2025-03-12 Stian Bilek , Kristian Wold

Variational quantum algorithms (VQAs) have established themselves as a central computational paradigm in the Noisy Intermediate-Scale Quantum (NISQ) era. By coupling parameterized quantum circuits (PQCs) with classical optimization, they…

Visual tokenizers are fundamental to image generation. They convert visual data into discrete tokens, enabling transformer-based models to excel at image generation. Despite their success, VQ-based tokenizers like VQGAN face significant…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Zechen Bai , Jianxiong Gao , Ziteng Gao , Pichao Wang , Zheng Zhang , Tong He , Mike Zheng Shou

Image quantization is a crucial technique in image generation, aimed at learning a codebook that encodes an image into a discrete token sequence. Recent advancements have seen researchers exploring learning multi-modal codebook (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Guotao Liang , Baoquan Zhang , Zhiyuan Wen , Junteng Zhao , Yunming Ye , Kola Ye , Yao He

This paper studies vector quantile regression (VQR), which is a way to model the dependence of a random vector of interest with respect to a vector of explanatory variables so to capture the whole conditional distribution, and not only the…

Optimization and Control · Mathematics 2016-10-24 Guillaume Carlier , Victor Chernozhukov , Alfred Galichon

Quantum error correction is crucial for protecting quantum information against decoherence. Traditional codes like the surface code require substantial overhead, making them impractical for near-term, early fault-tolerant devices. We…

Quantum Physics · Physics 2026-04-13 Nico Meyer , Christopher Mutschler , Andreas Maier , Daniel D. Scherer

We review a class of methods that can be collected under the name nonlinear transform coding (NTC), which over the past few years have become competitive with the best linear transform codecs for images, and have superseded them in terms of…

This paper proposes a novel framework for rate-adaptive semantic communication based on multi-stage vector quantization (VQ), termed \textit{MSVQ-SC}. Unlike conventional single-stage VQ approaches, which require exponentially larger…

Signal Processing · Electrical Eng. & Systems 2025-10-06 Jinsung Park , Junyong Shin , Yongjeong Oh , Jihun Park , Yo-Seb Jeon

StableDiffusion is a revolutionary text-to-image generator that is causing a stir in the world of image generation and editing. Unlike traditional methods that learn a diffusion model in pixel space, StableDiffusion learns a diffusion model…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Zixin Zhu , Xuelu Feng , Dongdong Chen , Jianmin Bao , Le Wang , Yinpeng Chen , Lu Yuan , Gang Hua

Variational quantum circuits (VQCs) are typically evaluated at the logical design level when analyzing trainability. However, execution on real quantum devices requires hardware-aware compilation (transpilation) to satisfy qubit…

Quantum Physics · Physics 2026-04-21 Muhammad Kashif , Muhammad Shafique

We present a modelling framework for the investigation of supervised learning in non-stationary environments. Specifically, we model two example types of learning systems: prototype-based Learning Vector Quantization (LVQ) for…

Machine Learning · Computer Science 2021-04-30 Michiel Straat , Fthi Abadi , Zhuoyun Kan , Christina Göpfert , Barbara Hammer , Michael Biehl

Scalability and efficiency are desired in neural speech codecs, which supports a wide range of bitrates for applications on various devices. We propose a collaborative quantization (CQ) scheme to jointly learn the codebook of LPC…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-14 Kai Zhen , Mi Suk Lee , Jongmo Sung , Seungkwon Beack , Minje Kim

Quantum error correction is essential for achieving fault-tolerant quantum computation. However, most typical quantum error-correcting codes are designed for generic noise models, which may fail to accurately capture the intricate noise…

Quantum Physics · Physics 2026-05-21 Yuguo Shao , Yong-Chang Li , Fuchuan Wei , Hao Zhan , Ben Wang , Zhaohui Wei , Lijian Zhang , Zhengwei Liu

Most discrete visual tokenizers rely on a default design: every position in the sequence shares the same codebook. Researchers try to scale the codebook size $K$ to get better reconstruction performance. Such a constant-codebook design hits…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Bowen Zheng , Weijian Luo , Guang Yang , Colin Zhang , Tianyang Hu

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
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