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Image processing has always been a topic of significant importance to society. Recently, this field has gained considerable prominence due to the development of intelligent systems. In this work, we present a new method of image processing…

Data Analysis, Statistics and Probability · Physics 2024-12-25 Monalisa Cavalcante , José Araújo , José Holanda

Computing eigenvalue decomposition (EVD) of a given linear operator, or finding its leading eigenvalues and eigenfunctions, is a fundamental task in many machine learning and scientific computing problems. For high-dimensional eigenvalue…

Machine Learning · Computer Science 2024-08-22 J. Jon Ryu , Xiangxiang Xu , H. S. Melihcan Erol , Yuheng Bu , Lizhong Zheng , Gregory W. Wornell

Disentangling content and style from a single image, known as content-style decomposition (CSD), enables recontextualization of extracted content and stylization of extracted styles, offering greater creative flexibility in visual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Quang-Binh Nguyen , Minh Luu , Quang Nguyen , Anh Tran , Khoi Nguyen

The Singular Value Decomposition (SVD) of linear functions facilitates the calculation of their 2-induced norm and row and null spaces, hallmarks of linear control theory. In this work, we present a function representation that, similar to…

Optimization and Control · Mathematics 2024-04-02 Brian Charles Brown , Michael King , Sean Warnick , Enoch Yeung , David Grimsman

By singular value decomposition (SVD) of a numerically singular Hessian matrix and a numerically singular system of linear equations for the experimental data (accumulated in the respective ${\chi ^2}$ function) and constraints, least…

High Energy Physics - Phenomenology · Physics 2014-08-27 Mehrdad Goshtasbpour

Photographers routinely compose multiple manipulated photos of the same scene (layers) into a single image, which is better than any individual photo could be alone. Similarly, 3D artists set up rendering systems to produce layered images…

Graphics · Computer Science 2017-02-03 Carlo Innamorati , Tobias Ritschel , Tim Weyrich , Niloy J. Mitra

Symmetric orthogonalization via SVD, and closely related procedures, are well-known techniques for projecting matrices onto $O(n)$ or $SO(n)$. These tools have long been used for applications in computer vision, for example optimal 3D…

Computer Vision and Pattern Recognition · Computer Science 2020-06-26 Jake Levinson , Carlos Esteves , Kefan Chen , Noah Snavely , Angjoo Kanazawa , Afshin Rostamizadeh , Ameesh Makadia

We address the reduction to compact band forms, via unitary similarity transformations, for the solution of symmetric eigenvalue problems and the computation of the singular value decomposition (SVD). Concretely, in the first case we…

Mathematical Software · Computer Science 2017-11-07 Rafael Rodríguez-Sánchez , Sandra Catalán , José R. Herrero , Enrique S. Quintana-Ortí , Andrés E. Tomás

Value-decomposition methods, which reduce the difficulty of a multi-agent system by decomposing the joint state-action space into local observation-action spaces, have become popular in cooperative multi-agent reinforcement learning (MARL).…

Artificial Intelligence · Computer Science 2023-03-17 Shuhan Qi , Shuhao Zhang , Qiang Wang , Jiajia Zhang , Jing Xiao , Xuan Wang

Cross-correlation function (CCF) has become the standard tool for extraction of radial-velocity and broadening information from high resolution spectra. It permits integration of information which is common to many spectral lines into one…

Astrophysics · Physics 2007-05-23 Slavek Rucinski

High throughput biomedical measurements normally capture multiple overlaid biologically relevant signals and often also signals representing different types of technical artefacts like e.g. batch effects. Signal identification and…

Applications · Statistics 2017-10-24 Rasmus Henningsson , Magnus Fontes

Engineering simulations are usually based on complex, grid-based, or mesh-free methods for solving partial differential equations. The results of these methods cover large fields of physical quantities at very many discrete spatial…

Fluid Dynamics · Physics 2025-08-08 Eduardo Di Costanzo , Niklas Kühl , Jean-Christophe Marongiu , Thomas Rung

Blind image super-resolution (SR), aiming to super-resolve low-resolution images with unknown degradation, has attracted increasing attention due to its significance in promoting real-world applications. Many novel and effective solutions…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Anran Liu , Yihao Liu , Jinjin Gu , Yu Qiao , Chao Dong

Classical Visual Servoing (VS) rely on handcrafted visual features, which limit their generalizability. Recently, a number of approaches, some based on Deep Neural Networks, have been proposed to overcome this limitation by comparing…

Robotics · Computer Science 2022-01-21 Nicholas Adrian , Van-Thach Do , Quang-Cuong Pham

Super-resolution reconstruction techniques entail the utilization of software algorithms to transform one or more sets of low-resolution images captured from the same scene into high-resolution images. In recent years, considerable…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Hao Yan , Zixiang Wang , Zhengjia Xu , Zhuoyue Wang , Zhizhong Wu , Ranran Lyu

Single-view depth estimation (SVDE) plays a crucial role in scene understanding for AR applications, 3D modeling, and robotics, providing the geometry of a scene based on a single image. Recent works have shown that a successful solution…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Mikhail Romanov , Nikolay Patatkin , Anna Vorontsova , Sergey Nikolenko , Anton Konushin , Dmitry Senyushkin

Genetic Programming (GP) has been primarily used to tackle optimization, classification, and feature selection related tasks. The widespread use of GP is due to its flexible and comprehensible tree-type structure. Similarly, research is…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Asifullah Khan , Aqsa Saeed Qureshi , Noorul Wahab , Mutawara Hussain , Muhammad Yousaf Hamza

Higher-order tensor decompositions are analogous to the familiar Singular Value Decomposition (SVD), but they transcend the limitations of matrices (second-order tensors). SVD is a powerful tool that has achieved impressive results in…

Machine Learning · Computer Science 2007-11-14 Peter D. Turney

The singular value decomposition (SVD) is commonly used in applications requiring a low rank matrix approximation. However, the singular vectors cannot be interpreted in terms of the original data. For applications requiring this type of…

Numerical Analysis · Mathematics 2025-05-23 Kathryn Linehan , Radu Balan

Conventional deconvolution methods utilize hand-crafted image priors to constrain the optimization. While deep-learning-based methods have simplified the optimization by end-to-end training, they fail to generalize well to blurs unseen in…

Image and Video Processing · Electrical Eng. & Systems 2023-06-07 Dong Huo , Abbas Masoumzadeh , Rafsanjany Kushol , Yee-Hong Yang