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The randomized singular value decomposition proposed in [27] has certainly become one of the most well-established randomization-based algorithms in numerical linear algebra. The key ingredient of the entire procedure is the computation of…

Numerical Analysis · Mathematics 2025-08-01 Davide Palitta , Sascha Portaro

We propose a new hypermatrix singular value decomposition based upon the spectral decomposition of the symmetric products of transposes.

Spectral Theory · Mathematics 2020-04-23 Edinah K. Gnang , Fan Tian

Distributed inference/estimation in Bayesian framework in the context of sensor networks has recently received much attention due to its broad applicability. The variational Bayesian (VB) algorithm is a technique for approximating…

Machine Learning · Statistics 2020-11-30 Junhao Hua , Chunguang Li

We consider classification tasks in the regime of scarce labeled training data in high dimensional feature space, where specific expert knowledge is also available. We propose a new hybrid optimization algorithm that solves the elastic-net…

Machine Learning · Statistics 2014-11-18 Zhiwei Qin , Xiaocheng Tang , Ioannis Akrotirianakis , Amit Chakraborty

Natural language processing models tend to learn and encode social biases present in the data. One popular approach for addressing such biases is to eliminate encoded information from the model's representations. However, current methods…

Computation and Language · Computer Science 2023-05-18 Shadi Iskander , Kira Radinsky , Yonatan Belinkov

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

In this note, we report the back propagation formula for complex valued singular value decompositions (SVD). This formula is an important ingredient for a complete automatic differentiation(AD) infrastructure in terms of complex numbers,…

Numerical Analysis · Mathematics 2019-11-07 Zhou-Quan Wan , Shi-Xin Zhang

In this paper, we propose a general framework for tensor singular value decomposition (tensor SVD), which focuses on the methodology and theory for extracting the hidden low-rank structure from high-dimensional tensor data. Comprehensive…

Statistics Theory · Mathematics 2020-01-09 Anru Zhang , Dong Xia

Low-light images suffer from severe noise and low illumination. Current deep learning models that are trained with real-world images have excellent noise reduction, but a ratio parameter must be chosen manually to complete the enhancement…

Image and Video Processing · Electrical Eng. & Systems 2020-04-23 Qingxu Fu , Xiaoguang Di , Yu Zhang

Accurately delineating the visual pathway (VP) is crucial for understanding the human visual system and diagnosing related disorders. Exploring multi-parametric MR imaging data has been identified as an important way to delineate VP.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Alou Diakite , Cheng Li , Lei Xie , Yuanjing Feng , Ruoyou Wu , Jianzhong He , Hairong Zheng , Shanshan Wang

Bird's eye view (BEV) is widely adopted by most of the current point cloud detectors due to the applicability of well-explored 2D detection techniques. However, existing methods obtain BEV features by simply collapsing voxel or point…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Dihe Huang , Ying Chen , Yikang Ding , Jinli Liao , Jianlin Liu , Kai Wu , Qiang Nie , Yong Liu , Chengjie Wang , Zhiheng Li

Digital backpropagation (DBP) is one of the most effective techniques for compensating nonlinear distortions in coherent optical fiber communication systems. However, its practical application to wideband transmission remains limited by…

We present a highly accurate single-image super-resolution (SR) method. Our method uses a very deep convolutional network inspired by VGG-net used for ImageNet classification \cite{simonyan2015very}. We find increasing our network depth…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Jiwon Kim , Jung Kwon Lee , Kyoung Mu Lee

Singular Value Decomposition (SVD) is a technique based on linear projection theory, which has been frequently used for data analysis. It constitutes an optimal (in the sense of least squares) decomposition of a matrix in the most relevant…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Pau Erola , Javier Borge-Holthoefer , Sergio Gomez , Alex Arenas

We propose a complex-valued neural-network (CV-NN) framework to optimally configure stacked intelligent surfaces (SIS) in next-generation multi-antenna systems. Unlike conventional solutions that separately tune analog metasurface phases or…

Information Theory · Computer Science 2025-09-09 Abdullah Zayat , Omran Abbas , Loic Markley , Anas Chaaban

Recently, Deep Image Prior (DIP) has demonstrated strong capabilities for solving inverse imaging problems (IIPs) by optimizing a randomly initialized convolutional neural network in a training-data-free regime. However, DIP suffers from…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Chaoyan Huang , Cheng-Han Huang , Ismail R. Alkhouri , Rongrong Wang

One of the main challenges since the advancement of convolutional neural networks is how to connect the extracted feature map to the final classification layer. VGG models used two sets of fully connected layers for the classification part…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Mohammad Rahimzadeh , AmirAli Askari , Soroush Parvin , Elnaz Safi , Mohammad Reza Mohammadi

Computation of singular value decomposition (SVD) has been a topic of concern by many numerical linear algebra researchers. Fast SVD has been a very effective tool in computer vision in a number of aspects, such as: face recognition, eye…

Numerical Analysis · Mathematics 2015-05-22 Tapan Pradhan , Aurobinda Routray , Bibek Kabi

This is a further development of Vision Transformer Pruning via matrix decomposition. The purpose of the Vision Transformer Pruning is to prune the dimension of the linear projection of the dataset by learning their associated importance…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Tianyi Sun

Intrinsic image decomposition is the process of recovering the image formation components (reflectance and shading) from an image. Previous methods employ either explicit priors to constrain the problem or implicit constraints as formulated…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Partha Das , Sezer Karaoglu , Theo Gevers
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