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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

Vector Quantized Variational AutoEncoders (VQ-VAEs) are designed to compress a continuous input to a discrete latent space and reconstruct it with minimal distortion. They operate by maintaining a set of vectors -- often referred to as the…

Unifying multimodal understanding, generation and reconstruction representation in a single tokenizer remains a key challenge in building unified models. Previous research predominantly attempts to address this in a dual encoder paradigm,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Sinan Du , Jiahao Guo , Bo Li , Shuhao Cui , Zhengzhuo Xu , Yifu Luo , Yongxian Wei , Kun Gai , Xinggang Wang , Kai Wu , Chun Yuan

A variational framework for structural topology optimization is developed, integrating quantum and classical latent encoding strategies within a coordinate-based neural decoding architecture. In this approach, a low-dimensional latent…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Alireza Tabarraei

Vector-Quantized Variational Autoencoders (VQ-VAE)[1] provide an unsupervised model for learning discrete representations by combining vector quantization and autoencoders. In this paper, we study the use of VQ-VAE for representation…

Image and Video Processing · Electrical Eng. & Systems 2019-03-05 Hanwei Wu , Markus Flierl

Vector Quantisation (VQ) is experiencing a comeback in machine learning, where it is increasingly used in representation learning. However, optimizing the codevectors in existing VQ-VAE is not entirely trivial. A problem is codebook…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Chuanxia Zheng , Andrea Vedaldi

Existing vector quantization (VQ) methods struggle with scalability, largely attributed to the instability of the codebook that undergoes partial updates during training. The codebook is prone to collapse as utilization decreases, due to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Fengyuan Shi , Zhuoyan Luo , Yixiao Ge , Yujiu Yang , Ying Shan , Limin Wang

Vector quantization (VQ) is a technique to deterministically learn features with discrete codebook representations. It is commonly performed with a variational autoencoding model, VQ-VAE, which can be further extended to hierarchical…

Vector Quantization (VQ) has emerged as a prominent weight compression technique, showcasing substantially lower quantization errors than uniform quantization across diverse models, particularly in extreme compression scenarios. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Shuaiting Li , Juncan Deng , Chenxuan Wang , Kedong Xu , Rongtao Deng , Hong Gu , Haibin Shen , Kejie Huang

Latent variables (LVs) play a crucial role in encoder-decoder models by enabling effective data compression, prediction, and generation. Although their theoretical properties, such as generalization, have been extensively studied in…

Machine Learning · Statistics 2025-11-07 Futoshi Futami , Masahiro Fujisawa

Stochastic sampling strategies are widely adopted in large language models (LLMs) to balance output coherence and diversity. These heuristics are often inherited in Multimodal LLMs (MLLMs) without task-specific justification. However, we…

Computation and Language · Computer Science 2026-04-28 Boqi Chen , Xudong Liu , Yunke Ao , Jianing Qiu

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

Vector quantization (VQ) is a prevalent and fundamental technique that discretizes continuous feature vectors by approximating them using a codebook. As the diversity and complexity of data and models continue to increase, there is an…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Jie Li , Kwan-Yee K. Wong , Kai Han

While stabilizer tableaus have proven exceptionally useful as a descriptive tool for additive quantum codes, they offer little guidance for concrete constructions or coding algorithm analysis. We introduce a representation of stabilizer…

Quantum Physics · Physics 2025-01-31 Andrey Boris Khesin

Defining and separating cancer subtypes is essential for facilitating personalized therapy modality and prognosis of patients. The definition of subtypes has been constantly recalibrated as a result of our deepened understanding. During…

Machine Learning · Computer Science 2022-07-21 Zheng Chen , Ziwei Yang , Lingwei Zhu , Guang Shi , Kun Yue , Takashi Matsubara , Shigehiko Kanaya , MD Altaf-Ul-Amin

Hybrid question answering (HybridQA) over the financial report contains both textual and tabular data, and requires the model to select the appropriate evidence for the numerical reasoning task. Existing methods based on encoder-decoder…

Computation and Language · Computer Science 2023-05-08 Yifan Wei , Fangyu Lei , Yuanzhe Zhang , Jun Zhao , Kang Liu

Posterior inference in directed graphical models is commonly done using a probabilistic encoder (a.k.a inference model) conditioned on the input. Often this inference model is trained jointly with the probabilistic decoder (a.k.a generator…

Machine Learning · Computer Science 2019-12-21 Amir Zadeh , Smon Hessner , Yao-Chong Lim , Louis-Phlippe Morency

Graph self-supervised learning has gained significant attention recently. However, many existing approaches heavily depend on perturbations, and inappropriate perturbations may corrupt the graph's inherent information. The Vector Quantized…

Machine Learning · Computer Science 2025-04-18 Long Zeng , Jianxiang Yu , Jiapeng Zhu , Qingsong Zhong , Xiang Li

It is customary to deploy uniform scalar quantization in the end-to-end optimized Neural image compression methods, instead of more powerful vector quantization, due to the high complexity of the latter. Lattice vector quantization (LVQ),…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Xi Zhang , Xiaolin Wu

Gaussian Process (GP) regression is a popular and sample-efficient approach for many engineering applications, where observations are expensive to acquire, and is also a central ingredient of Bayesian optimization (BO), a highly prevailing…

Machine Learning · Statistics 2025-06-06 Sébastien Da Veiga