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Currently, quantum computing and artificial intelligence are driving revolutionary advancements in computational science. This study pioneers the integration of quantum kernel networks on smoothed particle hydrodynamics (SPH). SPH has…

Quantum Physics · Physics 2026-04-28 Yudong Li , Wenkui Shi , Chunfa Wang , Zhihao Qian , Zhiqiang Feng , Moubin Liu

Super-resolution is an ill-posed problem, since it allows for multiple predictions for a given low-resolution image. This fundamental fact is largely ignored by state-of-the-art deep learning based approaches. These methods instead train a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Andreas Lugmayr , Martin Danelljan , Luc Van Gool , Radu Timofte

Exploiting image patches instead of whole images have proved to be a powerful approach to tackle various problems in image processing. Recently, Wasserstein patch priors (WPP), which are based on the comparison of the patch distributions of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Fabian Altekrüger , Johannes Hertrich

The convolutional neural network model for optical flow estimation usually outputs a low-resolution(LR) optical flow field. To obtain the corresponding full image resolution,interpolation and variational approach are the most common…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Liping Zhang , Zongqing Lu , Qingmin Liao

Multi-focus image fusion (MFIF) and super-resolution (SR) are the inverse problem of imaging model, purposes of MFIF and SR are obtaining all-in-focus and high-resolution 2D mapping of targets. Though various MFIF and SR methods have been…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Yuanjie Gu , Yinghan Guan , Zhibo Xiao , Haoran Dai , Cheng Liu , Shouyu Wang

Recovering clear images from blurry ones with an unknown blur kernel is a challenging problem. Deep image prior (DIP) proposes to use the deep network as a regularizer for a single image rather than as a supervised model, which achieves…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Tingting Wu , Zhiyan Du , Zhi Li , Feng-Lei Fan , Tieyong Zeng

Semantic segmentation relies on many dense pixel-wise annotations to achieve the best performance, but owing to the difficulty of obtaining accurate annotations for real world data, practitioners train on large-scale synthetic datasets.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Cristina Mata , Michael S. Ryoo , Henrik Turbell

The paper is a follow-up of the recently introduced kernel-based framework to identify nonlinear input-output systems regularized by desirable input-output incremental properties. Assuming that the system has fading memory, we propose to…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Yongkang Huo , Thomas Chaffey , Rodolphe Sepulchre

Traditional Bayesian approaches for model uncertainty quantification rely on notoriously difficult processes of marginalization over each network parameter to estimate its probability density function (PDF). Our hypothesis is that internal…

Machine Learning · Computer Science 2021-03-03 Rishabh Singh , Jose C. Principe

Previous studies in blind super-resolution (BSR) have primarily concentrated on estimating degradation kernels directly from low-resolution (LR) inputs to enhance super-resolution. However, these degradation kernels, which model the…

Image and Video Processing · Electrical Eng. & Systems 2025-07-21 Huu-Phu Do , Po-Chih Hu , Hao-Chien Hsueh , Che-Kai Liu , Vu-Hoang Tran , Ching-Chun Huang

Panchromatic (PAN) and multi-spectral (MS) image fusion, named Pan-sharpening, refers to super-resolve the low-resolution (LR) multi-spectral (MS) images in the spatial domain to generate the expected high-resolution (HR) MS images,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Keyu Yan , Man Zhou , Jie Huang , Feng Zhao , Chengjun Xie , Chongyi Li , Danfeng Hong

Cross-modal embeddings form the foundation for multi-modal models. However, visualization methods for interpreting cross-modal embeddings have been primarily confined to traditional dimensionality reduction (DR) techniques like PCA and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Yilin Ye , Junchao Huang , Xingchen Zeng , Jiazhi Xia , Wei Zeng

Kernel methods are ubiquitous tools in machine learning. However, there is often little reason for the common practice of selecting a kernel a priori. Even if a universal approximating kernel is selected, the quality of the finite sample…

Machine Learning · Statistics 2018-01-31 Junier Oliva , Avinava Dubey , Andrew G. Wilson , Barnabas Poczos , Jeff Schneider , Eric P. Xing

Blind image deblurring is the process of recovering a sharp image from a blurred one without prior knowledge about the blur kernel. It is a small data problem, since the key challenge lies in estimating the unknown degrees of blur from a…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Abdul Mohaimen Al Radi , Prothito Shovon Majumder , Md. Mosaddek Khan

In this paper, we propose CKGAN, a novel generative adversarial network (GAN) variant based on an integral probability metrics framework with characteristic kernel (CKIPM). CKIPM, as a distance between two probability distributions, is…

Machine Learning · Computer Science 2025-04-09 Kuntian Zhang , Simin Yu , Yaoshu Wang , Makoto Onizuka , Chuan Xiao

Kernel methods are versatile tools for function approximation and surrogate modeling. In particular, greedy techniques offer computational efficiency and reliability through inherent sparsity and provable convergence. Inspired by the…

Numerical Analysis · Mathematics 2026-03-09 Marian Klink , Tobias Ehring , Robin Herkert , Robin Lautenschlager , Dominik Göddeke , Bernard Haasdonk

At initialization, artificial neural networks (ANNs) are equivalent to Gaussian processes in the infinite-width limit, thus connecting them to kernel methods. We prove that the evolution of an ANN during training can also be described by a…

Machine Learning · Computer Science 2020-02-11 Arthur Jacot , Franck Gabriel , Clément Hongler

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels…

Machine Learning · Computer Science 2021-11-16 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han

We propose a kinematic wave-based Deep Convolutional Neural Network (Deep CNN) to estimate high-resolution traffic speed fields from sparse probe vehicle trajectories. We introduce two key approaches that allow us to incorporate kinematic…

Machine Learning · Computer Science 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer