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Multispectral images contain many clues of surface characteristics of the objects, thus can be widely used in many computer vision tasks, e.g., recolorization and segmentation. However, due to the complex illumination and the geometry…

Computer Vision and Pattern Recognition · Computer Science 2018-02-27 Qian Huang , Weixin Zhu , Yang Zhao , Linsen Chen , Yao Wang , Tao Yue , Xun Cao

Most state of the art deep neural networks are overparameterized and exhibit a high computational cost. A straightforward approach to this problem is to replace convolutional kernels with its low-rank tensor approximations, whereas the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Anh-Huy Phan , Konstantin Sobolev , Konstantin Sozykin , Dmitry Ermilov , Julia Gusak , Petr Tichavsky , Valeriy Glukhov , Ivan Oseledets , Andrzej Cichocki

In this paper, we propose a very deep fully convolutional encoding-decoding framework for image restoration such as denoising and super-resolution. The network is composed of multiple layers of convolution and de-convolution operators,…

Computer Vision and Pattern Recognition · Computer Science 2016-09-02 Xiao-Jiao Mao , Chunhua Shen , Yu-Bin Yang

Low-rank matrices play a fundamental role in modeling and computational methods for signal processing and machine learning. In many applications where low-rank matrices arise, these matrices cannot be fully sampled or directly observed, and…

Information Theory · Computer Science 2016-05-25 Mark A. Davenport , Justin Romberg

Low-rank approximation is an effective model compression technique to not only reduce parameter storage requirements, but to also reduce computations. For convolutional neural networks (CNNs), however, well-known low-rank approximation…

Machine Learning · Computer Science 2019-05-27 Dongsoo Lee , Se Jung Kwon , Byeongwook Kim , Gu-Yeon Wei

Modeling of multidimensional signal using tensor is more convincing than representing it as a collection of matrices. The tensor based approaches can explore the abundant spatial and temporal structures of the mutlidimensional signal. The…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Baburaj Madathil , Sameera V Mohd Sagheer , Abdu Rahiman , Anju Jose Tom , Baiju P S , Jobin Francis , Sudhish N. George

Image compression and reconstruction are crucial for various digital applications. While contemporary neural compression methods achieve impressive compression rates, the adoption of such technology has been largely hindered by the…

Machine Learning · Computer Science 2025-10-06 Ethan G. Rogers , Cheng Wang

This paper presents a novel factorization-based, low-rank regularization method for solving multidimensional deconvolution problems in the frequency domain. In this approach, each frequency component of the unknown wavefield is represented…

Geophysics · Physics 2024-10-29 Fuqiang Chen , Matteo Ravasi , David Keyes

In this paper, we propose a novel multi-task learning method based on the deep convolutional network. The proposed deep network has four convolutional layers, three max-pooling layers, and two parallel fully connected layers. To adjust the…

Machine Learning · Computer Science 2019-04-17 Fang Su , Hai-Yang Shang , Jing-Yan Wang

In this paper, we consider multivariate response regression models with high dimensional predictor variables. One way to model the correlation among the response variables is through the low rank decomposition of the coefficient matrix,…

Methodology · Statistics 2015-08-06 Ruiyan Luo , Xin Qi

A weakly-supervised semantic segmentation framework with a tied deconvolutional neural network is presented. Each deconvolution layer in the framework consists of unpooling and deconvolution operations. 'Unpooling' upsamples the input…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Hyo-Eun Kim , Sangheum Hwang

Low-rank decomposition (LRD) is a state-of-the-art method for visual data reconstruction and modelling. However, it is a very challenging problem when the image data contains significant occlusion, noise, illumination variation, and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chen Chen , Baochang Zhang , Alessio Del Bue , Vittorio Murino

In this paper, we propose a general dual convolutional neural network (DualCNN) for low-level vision problems, e.g., super-resolution, edge-preserving filtering, deraining and dehazing. These problems usually involve the estimation of two…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Jinshan Pan , Sifei Liu , Deqing Sun , Jiawei Zhang , Yang Liu , Jimmy Ren , Zechao Li , Jinhui Tang , Huchuan Lu , Yu-Wing Tai , Ming-Hsuan Yang

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Robust tensor recovery plays an instrumental role in robustifying tensor decompositions for multilinear data analysis against outliers, gross corruptions and missing values and has a diverse array of applications. In this paper, we study…

Machine Learning · Statistics 2014-08-26 Donald Goldfarb , Zhiwei Qin

We apply recent advances in machine learning and computer vision to a central problem in materials informatics: The statistical representation of microstructural images. We use activations in a pre-trained convolutional neural network to…

Computational Physics · Physics 2018-12-04 Nicholas Lubbers , Turab Lookman , Kipton Barros

For subspace recovery, most existing low-rank representation (LRR) models performs in the original space in single-layer mode. As such, the deep hierarchical information cannot be learned, which may result in inaccurate recoveries for…

Computer Vision and Pattern Recognition · Computer Science 2020-01-16 Xianzhen Li , Zhao Zhang , Yang Wang , Guangcan Liu , Shuicheng Yan , Meng Wang

This paper introduces a new multivariate convolutional sparse coding based on tensor algebra with a general model enforcing both element-wise sparsity and low-rankness of the activations tensors. By using the CP decomposition, this model…

Machine Learning · Statistics 2019-08-12 Pierre Humbert , Julien Audiffren , Laurent Oudre , Nicolas Vayatis

Tomographic imaging is useful for revealing the internal structure of a 3D sample. Classical reconstruction methods treat the object of interest as a vector to estimate its value. Such an approach, however, can be inefficient in analyzing…

Applications · Statistics 2022-04-06 Sanket R. Jantre , Zichao Wendy Di

We consider the problem of high-dimensional light field reconstruction and develop a learning-based framework for spatial and angular super-resolution. Many current approaches either require disparity clues or restore the spatial and…

Image and Video Processing · Electrical Eng. & Systems 2020-09-18 Nan Meng , Hayden K. -H. So , Xing Sun , Edmund Y. Lam