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In this paper, we tackle two important problems in low-rank learning, which are partial singular value decomposition and numerical rank estimation of huge matrices. By using the concepts of Krylov subspaces such as Golub-Kahan…

Machine Learning · Statistics 2021-09-07 Reza Godaz , Reza Monsefi , Faezeh Toutounian , Reshad Hosseini

The Coarse-to-Fine Few-Shot (C2FS) task is designed to train models using only coarse labels, then leverages a limited number of subclass samples to achieve fine-grained recognition capabilities. This task presents two main challenges:…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Xin-yang Zhao , Jian Jin , Yang-yang Li , Yazhou Yao

Computed tomography is widely used as an imaging tool to visualize three-dimensional structures with expressive bone-soft tissue contrast. However, CT resolution and radiation dose are tightly entangled, highlighting the importance of…

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

We propose a novel pooling strategy that learns how to adaptively rank deep convolutional features for selecting more informative representations. To this end, we exploit discriminative analysis to project the features onto a space spanned…

Machine Learning · Computer Science 2017-10-23 Arash Shahriari , Fatih Porikli

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro

Small sample sizes are common in many disciplines, which necessitates pooling roughly similar datasets across multiple institutions to study weak but relevant associations between images and disease outcomes. Such data often manifest…

Machine Learning · Computer Science 2024-11-19 Sotirios Panagiotis Chytas , Vishnu Suresh Lokhande , Peiran Li , Vikas Singh

This paper studies the problem of decomposing a low-rank matrix into a factor with binary entries, either from $\{\pm 1\}$ or from $\{0,1\}$, and an unconstrained factor. The research answers fundamental questions about the existence and…

Data Structures and Algorithms · Computer Science 2019-08-01 Richard Kueng , Joel A. Tropp

Feature matters. How to train a deep network to acquire discriminative features across categories and polymerized features within classes has always been at the core of many computer vision tasks, specially for large-scale recognition…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Yu Liu , Hongyang Li , Xiaogang Wang

Deep convolutional neural networks have shown high efficiency in computer visions and other applications. However, with the increase in the depth of the networks, the computational complexity is growing exponentially. In this paper, we…

Machine Learning · Computer Science 2021-01-08 Ali Mirzaeian , Sai Manoj , Ashkan Vakil , Houman Homayoun , Avesta Sasan

Low-rank matrix decomposition has gained great popularity recently in scaling up kernel methods to large amounts of data. However, some limitations could prevent them from working effectively in certain domains. For example, many existing…

Machine Learning · Computer Science 2012-08-27 Kai Zhang , Liang Lan , Jun Liu , andreas Rauber , Fabian Moerchen

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

We propose a new method for creating computationally efficient convolutional neural networks (CNNs) by using low-rank representations of convolutional filters. Rather than approximating filters in previously-trained networks with more…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Yani Ioannou , Duncan Robertson , Jamie Shotton , Roberto Cipolla , Antonio Criminisi

In this paper, we propose a compact network called CUNet (compact unsupervised network) to counter the image classification challenge. Different from the traditional convolutional neural networks learning filters by the time-consuming…

Computer Vision and Pattern Recognition · Computer Science 2016-07-07 Le Dong , Ling He , Gaipeng Kong , Qianni Zhang , Xiaochun Cao , Ebroul Izquierdo

The cross-media retrieval problem has received much attention in recent years due to the rapid increasing of multimedia data on the Internet. A new approach to the problem has been raised which intends to match features of different…

Multimedia · Computer Science 2015-12-18 Cuicui Kang , Shengcai Liao , Yonghao He , Jian Wang , Wenjia Niu , Shiming Xiang , Chunhong Pan

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

Fine-grained categories are more difficulty distinguished than generic categories due to the similarity of inter-class and the diversity of intra-class. Therefore, the fine-grained visual categorization (FGVC) is considered as one of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-12 Guo Lihua , Guo Chenggan

The Fine-Grained Visual Categorization (FGVC) is challenging because the subtle inter-class variations are difficult to be captured. One notable research line uses the Global Covariance Pooling (GCP) layer to learn powerful representations…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Yue Song , Nicu Sebe , Wei Wang

Large spatial datasets are becoming ubiquitous in environmental sciences with the explosion in the amount of data produced by sensors that monitor and measure the Earth system. Consequently, the geostatistical analysis of these data…

Statistics Theory · Mathematics 2018-06-06 Thomas Romary , Nicolas Desassis

Efficient LiDAR Place Recognition (LPR) compresses dense pointwise features into compact global descriptors. While first-order aggregators such as GeM and NetVLAD are widely used, they overlook inter-feature correlations that second-order…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Saimunur Rahman , Peyman Moghadam