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Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The…

Computer Vision and Pattern Recognition · Computer Science 2018-03-20 Xinyuan Zhang , Xin Yuan , Lawrence Carin

Retrieval-augmented generation improves the factual accuracy of Large Language Models (LLMs) by incorporating external context, but often suffers from irrelevant retrieved content that hinders effectiveness. Context compression addresses…

Computation and Language · Computer Science 2025-09-23 Lvzhou Luo , Yixuan Cao , Ping Luo

Contextual information has been shown to be powerful for semantic segmentation. This work proposes a novel Context-based Tandem Network (CTNet) by interactively exploring the spatial contextual information and the channel contextual…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Zechao Li , Yanpeng Sun , Jinhui Tang

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

Methodology · Statistics 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

We study low rank matrix and tensor completion and propose novel algorithms that employ adaptive sampling schemes to obtain strong performance guarantees. Our algorithms exploit adaptivity to identify entries that are highly informative for…

Machine Learning · Statistics 2013-11-12 Akshay Krishnamurthy , Aarti Singh

This paper presents a geometric analysis of the simultaneous blind deconvolution and phase retrieval (BDPR) problem via a structured low-rank tensor recovery framework. Due to the highly complicated structure of the associated sensing…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Xiao Liang , Zhen Qin , Zhihui Zhu , Shuang Li

This work proposes a systematic model reduction approach based on rank adaptive tensor recovery for partial differential equation (PDE) models with high-dimensional random parameters. Since the standard outputs of interest of these models…

Numerical Analysis · Mathematics 2019-02-15 Kejun Tang , Qifeng Liao

Large language model (LLM) based listwise reranking has emerged as the dominant paradigm for achieving state-of-the-art ranking effectiveness in information retrieval. However, its reliance on feeding full passage texts into the LLM…

Information Retrieval · Computer Science 2026-04-27 Xiaojie Ke , Shuai Zhang , Liansheng Sun , Yongjin Wang , Hengjun Jiang , Xiangkun Liu , Cunxin Gu , Jian Xu , Guanjun Jiang

In this paper, we study multi-dimensional image recovery. Recently, transform-based tensor nuclear norm minimization methods are considered to capture low-rank tensor structures to recover third-order tensors in multi-dimensional image…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yi Chang , Michael K. Ng , Chao Li

Despite the potential of neural scene representations to effectively compress 3D scalar fields at high reconstruction quality, the computational complexity of the training and data reconstruction step using scene representation networks…

Graphics · Computer Science 2022-07-26 Sebastian Weiss , Philipp Hermüller , Rüdiger Westermann

This paper presents a new approach to estimate accurate and robust 3D semantic correspondence with the hierarchical neural semantic representation. Our work has three key contributions. First, we design the hierarchical neural semantic…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Keyu Du , Jingyu Hu , Haipeng Li , Hao Xu , Haibing Huang , Chi-Wing Fu , Shuaicheng Liu

The so-called block-term decomposition (BTD) tensor model has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of \emph{blocks} of rank higher than one, a…

Numerical Analysis · Mathematics 2021-04-21 Athanasios A. Rontogiannis , Eleftherios Kofidis , Paris V. Giampouras

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

We present TensoRF, a novel approach to model and reconstruct radiance fields. Unlike NeRF that purely uses MLPs, we model the radiance field of a scene as a 4D tensor, which represents a 3D voxel grid with per-voxel multi-channel features.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Anpei Chen , Zexiang Xu , Andreas Geiger , Jingyi Yu , Hao Su

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

Image and Video Processing · Electrical Eng. & Systems 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

Large CNNs have delivered impressive performance in various computer vision applications. But the storage and computation requirements make it problematic for deploying these models on mobile devices. Recently, tensor decompositions have…

Machine Learning · Computer Science 2016-02-16 Cheng Tai , Tong Xiao , Yi Zhang , Xiaogang Wang , Weinan E

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. The paper aims…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

Automated and accurate 3D medical image segmentation plays an essential role in assisting medical professionals to evaluate disease progresses and make fast therapeutic schedules. Although deep convolutional neural networks (DCNNs) have…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Jianpeng Zhang , Yutong Xie , Yan Wang , Yong Xia

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

Many applications in data science and scientific computing involve large-scale datasets that are expensive to store and compute with, but can be efficiently compressed and stored in an appropriate tensor format. In recent years, randomized…

Numerical Analysis · Mathematics 2019-05-20 Rachel Minster , Arvind K. Saibaba , Misha E. Kilmer
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