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We investigate the sample size requirement for exact recovery of a high order tensor of low rank from a subset of its entries. In the Tucker decomposition framework, we show that the Riemannian optimization algorithm with initial value…

Machine Learning · Statistics 2019-11-13 Jian-Feng Cai , Lizhang Miao , Yang Wang , Yin Xian

Magnetic Resonance (MR) Fingerprinting is an emerging multi-parametric quantitative MR imaging technique, for which image reconstruction methods utilizing low-rank and subspace constraints have achieved state-of-the-art performance.…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Hengfa Lu , Huihui Ye , Lawrence L. Wald , Bo Zhao

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

Numerical Analysis · Computer Science 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

Infrared dim and small target detection presents a significant challenge due to dynamic multi-frame scenarios and weak target signatures in the infrared modality. Traditional low-rank plus sparse models often fail to capture dynamic…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Pei Liu , Yisi Luo , Wenzhen Wang , Xiangyong Cao

Tensors, which provide a powerful and flexible model for representing multi-attribute data and multi-way interactions, play an indispensable role in modern data science across various fields in science and engineering. A fundamental task is…

Machine Learning · Computer Science 2022-06-23 Tian Tong , Cong Ma , Ashley Prater-Bennette , Erin Tripp , Yuejie Chi

The main aim of this paper is to develop a new algorithm for computing nonnegative low rank tensor approximation for nonnegative tensors that arise in many multi-dimensional imaging applications. Nonnegativity is one of the important…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Tai-Xiang Jiang , Michael K. Ng , Junjun Pan , Guangjing Song

Tensor-valued data benefits greatly from dimension reduction as the reduction in size is exponential in the number of modes. To achieve maximal reduction without loss in information, our objective in this work is to give an automated…

Methodology · Statistics 2022-07-22 Una Radojicic , Niko Lietzen , Klaus Nordhausen , Joni Virta

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

Annotating lots of 3D medical images for training segmentation models is time-consuming. The goal of weakly supervised semantic segmentation is to train segmentation models without using any ground truth segmentation masks. Our work…

Image and Video Processing · Electrical Eng. & Systems 2024-04-23 Marius Schmidt-Mengin , Alexis Benichoux , Shibeshih Belachew , Nikos Komodakis , Nikos Paragios

Detecting tiny objects plays a vital role in remote sensing intelligent interpretation, as these objects often carry critical information for downstream applications. However, due to the extremely limited pixel information and significant…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Zixiao Wen , Zhen Yang , Xianjie Bao , Lei Zhang , Xiantai Xiang , Wenshuai Li , Yuhan Liu

Low rank tensor ring model is powerful for image completion which recovers missing entries in data acquisition and transformation. The recently proposed tensor ring (TR) based completion algorithms generally solve the low rank optimization…

Machine Learning · Statistics 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

Tensor Ring (TR) decomposition is a powerful tool for high-order data modeling, but is inherently restricted to discrete forms defined on fixed meshgrids. In this work, we propose a TR functional decomposition for both meshgrid and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Yangyang Xu , Junbo Ke , You-Wei Wen , Chao Wang

Image segmentation is one of the major computer vision tasks, which is applicable in a variety of domains, such as autonomous navigation of an unmanned aerial vehicle. However, image segmentation cannot easily materialize on tiny embedded…

Neural and Evolutionary Computing · Computer Science 2024-05-06 Byungchul Chae , Jiae Kim , Seonyeong Heo

In this work, we consider both channel estimation and reflection design problems in point-to-point reconfigurable intelligent surface (RIS)-aided millimeter-wave (mmWave) MIMO communication systems. First, we show that by exploiting the…

Signal Processing · Electrical Eng. & Systems 2021-12-07 Sepideh Gherekhloo , Khaled Ardah , André L. F. de Almeida , Martin Haardt

Using radio-frequency (RF) sensing techniques for human posture recognition has attracted growing interest due to its advantages of pervasiveness, contact-free observation, and privacy protection. Conventional RF sensing techniques are…

Signal Processing · Electrical Eng. & Systems 2019-12-24 Jingzhi Hu , Hongliang Zhang , Boya Di , Lianlin Li , Lingyang Song , Yonghui Li , Zhu Han , H. Vincent Poor

Tensor decompositions such as the canonical format and the tensor train format have been widely utilized to reduce storage costs and operational complexities for high-dimensional data, achieving linear scaling with the input dimension…

Numerical Analysis · Mathematics 2020-02-11 Oscar Mickelin , Sertac Karaman

This work investigates a two-stage method for constructing projection-based reduced-order models (ROMs) of parameterized partial differential equations (PDEs). Based on established tensorial ROM methodology, the proposed approach reduces…

Numerical Analysis · Mathematics 2026-04-30 Arjun Vijaywargia , Eric C. Cyr , Anthony Gruber

This paper presents Few TensoRF, a 3D reconstruction framework that combines TensorRF's efficient tensor based representation with FreeNeRF's frequency driven few shot regularization. Using TensorRF to significantly accelerate rendering…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Thanh-Hai Le , Hoang-Hau Tran , Trong-Nghia Vu

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

The interest of compressive sampling in ultrasound imaging has been recently extensively evaluated by several research teams. Following the different application setups, it has been shown that the RF data may be reconstructed from a small…

Computer Vision and Pattern Recognition · Computer Science 2015-12-07 Zhouye Chen , Adrian Basarab , Denis Kouamé