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This work aims to help resolve the two main stumbling blocks in the application of Deep Neural Networks (DNNs), that is, the exceedingly large number of trainable parameters and their physical interpretability. This is achieved through a…

Machine Learning · Computer Science 2020-01-07 Giuseppe G. Calvi , Ahmad Moniri , Mahmoud Mahfouz , Qibin Zhao , Danilo P. Mandic

Tensors in the form of multilinear arrays are ubiquitous in data science applications. Captured real-world data, including video, hyperspectral images, and discretized physical systems, naturally occur as tensors and often come with…

Machine Learning · Computer Science 2023-03-13 Jonathan Gryak , Kayvan Najarian , Harm Derksen

Elasticities in depth, width, kernel size and resolution have been explored in compressing deep neural networks (DNNs). Recognizing that the kernels in a convolutional neural network (CNN) are 4-way tensors, we further exploit a new…

Machine Learning · Computer Science 2021-05-11 Jie Ran , Rui Lin , Hayden K. H. So , Graziano Chesi , Ngai Wong

Quantization of weights of deep neural networks (DNN) has proven to be an effective solution for the purpose of implementing DNNs on edge devices such as mobiles, ASICs and FPGAs, because they have no sufficient resources to support…

Machine Learning · Computer Science 2019-12-20 Tianyu Zhang , Lei Zhu , Qian Zhao , Kilho Shin

Removing the noise and improving the visual quality of hyperspectral images (HSIs) is challenging in academia and industry. Great efforts have been made to leverage local, global or spectral context information for HSI denoising. However,…

Image and Video Processing · Electrical Eng. & Systems 2023-04-20 Haodong Pan , Feng Gao , Junyu Dong , Qian Du

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Tensor decomposition is one of the fundamental technique for model compression of deep convolution neural networks owing to its ability to reveal the latent relations among complex structures. However, most existing methods compress the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

Most of the Deep Neural Networks (DNNs) based CT image denoising literature shows that DNNs outperform traditional iterative methods in terms of metrics such as the RMSE, the PSNR and the SSIM. In many instances, using the same metrics, the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-19 Prabhat KC , Rongping Zeng , M. Mehdi Farhangi , Kyle J. Myers

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

Numerical Analysis · Computer Science 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Recurrent Neural Networks (RNNs) have been widely used in sequence analysis and modeling. However, when processing high-dimensional data, RNNs typically require very large model sizes, thereby bringing a series of deployment challenges.…

Machine Learning · Computer Science 2020-05-12 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

Machine Learning · Computer Science 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

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

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

Machine Learning · Computer Science 2026-03-03 Maryam Bagherian

Tensor completion aimes at recovering missing data, and it is one of the popular concerns in deep learning and signal processing. Among the higher-order tensor decomposition algorithms, the recently proposed fully-connected tensor network…

Machine Learning · Computer Science 2022-04-07 Peilin Yang , Yonghui Huang , Yuning Qiu , Weijun Sun , Guoxu Zhou

Hyperspectral super-resolution (HSR) fuses a low-resolution hyperspectral image (HSI) and a high-resolution multispectral image (MSI) to obtain a high-resolution HSI (HR-HSI). In this paper, we propose a new model, named coupled tensor ring…

Image and Video Processing · Electrical Eng. & Systems 2020-01-07 Wei He , Yong Chen , Naoto Yokoya , Chao Li , Qibin Zhao

Tensor Network (TN) decompositions have emerged as an indispensable tool in Big Data analytics owing to their ability to provide compact low-rank representations, thus alleviating the ``Curse of Dimensionality'' inherent in handling…

Machine Learning · Computer Science 2025-07-15 Wuyang Zhou , Giorgos Iacovides , Kriton Konstantinidis , Ilya Kisil , Danilo Mandic

Hyperspectral image (HSI) and multispectral image (MSI) fusion aims at producing a super-resolution image (SRI). In this paper, we establish a nonconvex optimization model for image fusion problems through low-rank tensor triple…

Optimization and Control · Mathematics 2024-04-02 Xiaofei Cui , Jingya Chang

Multi-task and multi-domain learning methods seek to learn multiple tasks/domains, jointly or one after another, using a single unified network. The primary challenge and opportunity lie in leveraging shared information across these tasks…

Machine Learning · Computer Science 2026-02-03 Yash Garg , Nebiyou Yismaw , Rakib Hyder , Ashley Prater-Bennette , M. Salman Asif

While low-rank matrix prior has been exploited in dynamic MR image reconstruction and has obtained satisfying performance, tensor low-rank models have recently emerged as powerful alternative representations for three-dimensional dynamic MR…

Image and Video Processing · Electrical Eng. & Systems 2023-02-20 Yinghao Zhang , Peng Li , Yue Hu
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