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This paper studies the problem of time series forecasting (TSF) from the perspective of compressed sensing. First of all, we convert TSF into a more inclusive problem called tensor completion with arbitrary sampling (TCAS), which is to…

Machine Learning · Computer Science 2022-08-04 Guangcan Liu , Wayne Zhang

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

Many problems can be formulated as recovering a low-rank tensor. Although an increasingly common task, tensor recovery remains a challenging problem because of the delicacy associated with the decomposition of higher order tensors. To…

Machine Learning · Statistics 2014-05-09 Ming Yuan , Cun-Hui Zhang

Automated design methods for convolutional neural networks (CNNs) have recently been developed in order to increase the design productivity. We propose a neuroevolution method capable of evolving and optimizing CNNs with respect to the…

Neural and Evolutionary Computing · Computer Science 2019-10-16 Filip Badan , Lukas Sekanina

Recently, low-rank tensor completion has become increasingly attractive in recovering incomplete visual data. Considering a color image or video as a three-dimensional (3D) tensor, existing studies have put forward several definitions of…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

Currently, low-rank tensor completion has gained cumulative attention in recovering incomplete visual data whose partial elements are missing. By taking a color image or video as a three-dimensional (3D) tensor, previous studies have…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

Group-prior based regularization method has led to great successes in various image processing tasks, which can usually be considered as a low-rank matrix minimization problem. As a widely used surrogate function of low-rank, the nuclear…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Yunyi Li , Fei Dai , Yu Zhao , Xiefeng Cheng , Guan Gui

Despite the outstanding performance of convolutional neural networks (CNNs) for many vision tasks, the required computational cost during inference is problematic when resources are limited. In this context, we propose Convolutional Neural…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Adria Ruiz , Jakob Verbeek

Recovering a large matrix from limited measurements is a challenging task arising in many real applications, such as image inpainting, compressive sensing and medical imaging, and this kind of problems are mostly formulated as low-rank…

Computer Vision and Pattern Recognition · Computer Science 2014-06-12 Yilun Wang , Xinhua Su

The low rank tensor completion (LRTC) problem has attracted great attention in computer vision and signal processing. How to acquire high quality image recovery effect is still an urgent task to be solved at present. This paper proposes a…

Numerical Analysis · Mathematics 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Recently, numerous tensor singular value decomposition (t-SVD)-based tensor recovery methods have shown promise in processing visual data, such as color images and videos. However, these methods often suffer from severe performance…

Machine Learning · Statistics 2024-07-16 Jingjing Zheng , Wanglong Lu , Wenzhe Wang , Yankai Cao , Xiaoqin Zhang , Xianta Jiang

We present an approach to learn a dense pixel-wise labeling from image-level tags. Each image-level tag imposes constraints on the output labeling of a Convolutional Neural Network (CNN) classifier. We propose Constrained CNN (CCNN), a…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Deepak Pathak , Philipp Krähenbühl , Trevor Darrell

Rank minimization can be converted into tractable surrogate problems, such as Nuclear Norm Minimization (NNM) and Weighted NNM (WNNM). The problems related to NNM, or WNNM, can be solved iteratively by applying a closed-form proximal…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Tae-Hyun Oh , Yasuyuki Matsushita , Yu-Wing Tai , In So Kweon

Winograd's minimal filtering algorithm has been widely used in Convolutional Neural Networks (CNNs) to reduce the number of multiplications for faster processing. However, it is only effective on convolutions with kernel size as 3x3 and…

Machine Learning · Computer Science 2020-02-06 Di Huang , Xishan Zhang , Rui Zhang , Tian Zhi , Deyuan He , Jiaming Guo , Chang Liu , Qi Guo , Zidong Du , Shaoli Liu , Tianshi Chen , Yunji Chen

Modern ConvNets continue to achieve state-of-the-art results over a vast array of vision and image classification tasks, but at the cost of increasing parameters. One strategy for compactifying a network without sacrificing much expressive…

Machine Learning · Computer Science 2024-01-09 Tahseen Rabbani , Jiahao Su , Xiaoyu Liu , David Chan , Geoffrey Sangston , Furong Huang

In the present paper we propose two new algorithms of tensor completion for three-order tensors. The proposed methods consist in minimizing the average rank of the underlying tensor using its approximate function namely the tensor nuclear…

Numerical Analysis · Mathematics 2021-02-23 A. H. Bentbib , A. El Hachimi , K. Jbilou , A. Ratnani

Inspired by the recent advances of image super-resolution using convolutional neural network (CNN), we propose a CNN-based block up-sampling scheme for intra frame coding. A block can be down-sampled before being compressed by normal intra…

Multimedia · Computer Science 2017-08-08 Yue Li , Dong Liu , Houqiang Li , Li Li , Feng Wu , Hong Zhang , Haitao Yang

This paper is concerned with the problem of recovering third-order tensor data from limited samples. A recently proposed tensor decomposition (BMD) method has been shown to efficiently compress third-order spatiotemporal data. Using the…

Numerical Analysis · Mathematics 2024-02-21 Fan Tian , Mirjeta Pasha , Misha E. Kilmer , Eric Miller , Abani Patra

We present a certified version of the Natural-Norm Successive Constraint Method (cNNSCM) for fast and accurate Inf-Sup lower bound evaluation of parametric operators. Successive Constraint Methods (SCM) are essential tools for the…

Numerical Analysis · Mathematics 2015-03-17 Yanlai Chen

Recently, Liu and Zhang studied the rather challenging problem of time series forecasting from the perspective of compressed sensing. They proposed a no-learning method, named Convolution Nuclear Norm Minimization (CNNM), and proved that…

Machine Learning · Computer Science 2022-01-21 Guangcan Liu
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