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In this paper, we propose three approaches for the estimation of the Tucker decomposition of multi-way arrays (tensors) from partial observations. All approaches are formulated as convex minimization problems. Therefore, the minimum is…

Machine Learning · Statistics 2015-03-17 Ryota Tomioka , Kohei Hayashi , Hisashi Kashima

The combination of the sparse sampling and the low-rank structured matrix reconstruction has shown promising performance, enabling a significant reduction of the magnetic resonance imaging data acquisition time. However, the low-rank…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Xinlin Zhang , Hengfa Lu , Di Guo , Zongying Lai , Huihui Ye , Xi Peng , Bo Zhao , Xiaobo Qu

Low-rank decomposition has emerged as a vital tool for enhancing parameter efficiency in neural network architectures, gaining traction across diverse applications in machine learning. These techniques significantly lower the number of…

Machine Learning · Computer Science 2025-03-18 Yiping Ji , Hemanth Saratchandran , Cameron Gordon , Zeyu Zhang , Simon Lucey

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) restoration, which includes the tasks of denoising, compressed HSI reconstruction and inpainting. Unfortunately, while its…

Image and Video Processing · Electrical Eng. & Systems 2020-10-27 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao , Hongyan Zhang , Liangpei Zhang

Finding compact representation of videos is an essential component in almost every problem related to video processing or understanding. In this paper, we propose a generative model to learn compact latent codes that can efficiently…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Rakib Hyder , M. Salman Asif

Implicit Neural Representation (INR) has been emerging in computer vision in recent years. It has been shown to be effective in parameterising continuous signals such as dense 3D models from discrete image data, e.g. the neural radius field…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Wentian Xu , Jianbo Jiao

The low displacement rank (LDR) framework for structured matrices represents a matrix through two displacement operators and a low-rank residual. Existing use of LDR matrices in deep learning has applied fixed displacement operators…

Machine Learning · Computer Science 2019-01-03 Anna T. Thomas , Albert Gu , Tri Dao , Atri Rudra , Christopher Ré

Scene understanding has made tremendous progress over the past few years, as data acquisition systems are now providing an increasing amount of data of various modalities (point cloud, depth, RGB...). However, this improvement comes at a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Olivier Pradelle , Raphaelle Chaine , David Wendland , Julie Digne

Modern scene reconstruction methods are able to accurately recover 3D surfaces that are visible in one or more images. However, this leads to incomplete reconstructions, missing all occluded surfaces. While much progress has been made on…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Sam Bahrami , Dylan Campbell

Despite recent advancements in surface reconstruction, Level of Detail (LoD) 3 building reconstruction remains an unresolved challenge. The main issue pertains to the object-oriented modelling paradigm, which requires georeferencing,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Wenzhao Tang , Weihang Li , Xiucheng Liang , Olaf Wysocki , Filip Biljecki , Christoph Holst , Boris Jutzi

Conventional algorithms in autonomous exploration face challenges due to their inability to accurately and efficiently identify the spatial distribution of convex regions in the real-time map. These methods often prioritize navigation…

Robotics · Computer Science 2025-03-18 Qiming Wang , Yulong Gao , Yang Wang , Xiongwei Zhao , Yijiao Sun , Xiangyan Kong

Modern technological advances have enabled an unprecedented amount of structured data with complex temporal dependence, urging the need for new methods to efficiently model and forecast high-dimensional tensor-valued time series. This paper…

Methodology · Statistics 2023-09-28 Di Wang , Yao Zheng , Guodong Li

We propose a novel framework to reconstruct super-resolution human shape from a single low-resolution input image. The approach overcomes limitations of existing approaches that reconstruct 3D human shape from a single image, which require…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Marco Pesavento , Marco Volino , Adrian Hilton

Removing clutter from scenes is essential in many applications, ranging from privacy-concerned content filtering to data augmentation. In this work, we present an automatic system that removes clutter from 3D scenes and inpaints with…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Fangyin Wei , Thomas Funkhouser , Szymon Rusinkiewicz

This paper studies the problem of recovering a low-rank matrix from several noisy random linear measurements. We consider the setting where the rank of the ground-truth matrix is unknown a priori and use an objective function built from a…

Optimization and Control · Mathematics 2025-07-29 Lijun Ding , Zhen Qin , Liwei Jiang , Jinxin Zhou , Zhihui Zhu

Accurate modeling of 3D objects exhibiting transparency, reflections and thin structures is an extremely challenging problem. Inspired by billboards and geometric proxies used in computer graphics, this paper proposes Generative Latent…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Ricardo Martin-Brualla , Rohit Pandey , Sofien Bouaziz , Matthew Brown , Dan B Goldman

Fourier domain structured low-rank matrix priors are emerging as powerful alternatives to traditional image recovery methods such as total variation and wavelet regularization. These priors specify that a convolutional structured matrix,…

Numerical Analysis · Computer Science 2017-06-27 Greg Ongie , Mathews Jacob

Imposing additional constraints on low-rank optimization has garnered growing interest. However, the geometry of coupled constraints hampers the well-developed low-rank structure and makes the problem intricate. To this end, we propose a…

Optimization and Control · Mathematics 2025-10-01 Yan Yang , Bin Gao , Ya-xiang Yuan

We propose a new approach, named PolyMapper, to circumvent the conventional pixel-wise segmentation of (aerial) images and predict objects in a vector representation directly. PolyMapper directly extracts the topological map of a city from…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Zuoyue Li , Jan Dirk Wegner , Aurélien Lucchi

Neural implicit representation has attracted attention in 3D reconstruction through various success cases. For further applications such as scene understanding or editing, several works have shown progress towards object compositional…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Taekbeom Lee , Youngseok Jang , H. Jin Kim
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