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Quantile regression (QR) is a powerful tool for estimating one or more conditional quantiles of a target variable $\mathrm{Y}$ given explanatory features $\boldsymbol{\mathrm{X}}$. A limitation of QR is that it is only defined for scalar…

Computation · Statistics 2023-06-05 Aviv A. Rosenberg , Sanketh Vedula , Yaniv Romano , Alex M. Bronstein

We propose a numerical homogenization method for scalar linear partial differential equations with rough coefficients, that integrates classical coarse-scale solvers with quantum subroutines for fine-scale corrections. Inspired by the…

Numerical Analysis · Mathematics 2026-03-31 Loïc Balazi , Matthias Deiml , Daniel Peterseim

Post-training quantization (PTQ), which only requires a tiny dataset for calibration without end-to-end retraining, is a light and practical model compression technique. Recently, several PTQ schemes for vision transformers (ViTs) have been…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Zhikai Li , Junrui Xiao , Lianwei Yang , Qingyi Gu

Vector Quantization (VQ) is a method for discretizing latent representations and has become a major part of the deep learning toolkit. It has been theoretically and empirically shown that discretization of representations leads to improved…

Machine Learning · Computer Science 2022-02-04 Dianbo Liu , Alex Lamb , Xu Ji , Pascal Notsawo , Mike Mozer , Yoshua Bengio , Kenji Kawaguchi

Large language models (LLMs) have demonstrated remarkable performance across a wide range of natural language processing tasks. However, their exponentially increasing parameters pose significant challenges for deployment on…

Machine Learning · Computer Science 2025-10-03 Zukang Xu , Xing Hu , Qiang Wu , Dawei Yang

The variational quantum eigensolver (VQE) is one of the most promising algorithms to find eigenvalues and eigenvectors of a given Hamiltonian on noisy intermediate-scale quantum (NISQ) devices. A particular application is to obtain ground…

Vector Quantization (VQ) has become the cornerstone of tokenization for many multimodal Large Language Models and diffusion synthesis. However, existing VQ paradigms suffer from a fundamental conflict: they enforce discretization before the…

Machine Learning · Computer Science 2026-03-25 Wenhao Zhao , Qiran Zou , Zhouhan Lin , Dianbo Liu

Quantization-aware training (QAT) schemes have been shown to achieve near-full precision accuracy. They accomplish this by training a quantized model for multiple epochs. This is computationally expensive, mainly because of the full…

Machine Learning · Computer Science 2024-11-19 Saleh Ashkboos , Bram Verhoef , Torsten Hoefler , Evangelos Eleftheriou , Martino Dazzi

Model quantization can reduce the model size and computational latency, it has become an essential technique for the deployment of deep neural networks on resourceconstrained hardware (e.g., mobile phones and embedded devices). The existing…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Qigong Sun , Yan Ren , Licheng Jiao , Xiufang Li , Fanhua Shang , Fang Liu

The solution of physical problems discretized using the finite element methods using quantum computers remains relatively unexplored. Here, we present a unified formulation (FEqa) to solve such problems using quantum annealers. FEqa is a…

Quantum Physics · Physics 2022-05-25 Osama Muhammad Raisuddin , Suvranu De

The variational quantum eigensolver (VQE) is one of the most appealing quantum algorithms to simulate electronic structure properties of molecules on near-term noisy intermediate-scale quantum devices. In this work, we generalize the VQE…

Quantum Physics · Physics 2022-06-09 Jie Liu , Lingyun Wan , Zhenyu Li , Jinlong Yang

Post-training quantization (PTQ) has stood out as a cost-effective and promising model compression paradigm in recent years, as it avoids computationally intensive model retraining. Nevertheless, current PTQ methods for Vision Transformers…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Zhuguanyu Wu , Shihe Wang , Jiayi Zhang , Jiaxin Chen , Yunhong Wang

The Variational Quantum Eigensolver (VQE) algorithm has been developed to target near term Noisy Intermediate Scale Quantum (NISQ) computers as a method to find the eigenvalues of Hamiltonians. Unlike fully quantum algorithms such as…

Quantum Physics · Physics 2026-02-13 Taylor Harville , Rishu Khurana , Vitor F. Grizzi , Cong Liu

Discrete visual tokenizers transform images into a sequence of tokens, enabling token-based visual generation akin to language models. However, this process is inherently challenging, as it requires both compressing visual signals into a…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Zeyu Liu , Zanlin Ni , Yeguo Hua , Xin Deng , Xiao Ma , Cheng Zhong , Gao Huang

Generative adversarial networks (GANs) learn a latent space whose samples can be mapped to real-world images. Such latent spaces are difficult to interpret. Some earlier supervised methods aim to create an interpretable latent space or…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Mohammad Hassan Vali , Tom Bäckström

We propose a novel algorithm for quantizing continuous latent representations in trained models. Our approach applies to deep probabilistic models, such as variational autoencoders (VAEs), and enables both data and model compression. Unlike…

Image and Video Processing · Electrical Eng. & Systems 2020-09-09 Yibo Yang , Robert Bamler , Stephan Mandt

We introduce Generative Infinite-Vocabulary Transformers (GIVT) which generate vector sequences with real-valued entries, instead of discrete tokens from a finite vocabulary. To this end, we propose two surprisingly simple modifications to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Michael Tschannen , Cian Eastwood , Fabian Mentzer

The Variational Quantum Eigensolver (VQE) is a leading hybrid quantum-classical algorithm for simulating many-body systems in the NISQ era. Its effectiveness, however, depends on the faithful preparation of eigenstates, which becomes…

Quantum Physics · Physics 2026-02-20 Ashutosh P. Tripathi , Nilmani Mathur , Vikram Tripathi

Spatio-temporal forecasting is crucial in various fields and requires a careful balance between identifying subtle patterns and filtering out noise. Vector quantization (VQ) appears well-suited for this purpose, as it quantizes input…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Chao Chen , Tian Zhou , Yanjun Zhao , Hui Liu , Liang Sun , Rong Jin

Human motion data is inherently rich and complex, containing both semantic content and subtle stylistic features that are challenging to model. We propose a novel method for effective disentanglement of the style and content in human motion…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Fatemeh Zargarbashi , Dhruv Agrawal , Jakob Buhmann , Martin Guay , Stelian Coros , Robert W. Sumner