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Coded aperture snapshot spectral imaging (CASSI) is a promising technique to capture the three-dimensional hyperspectral image (HSI) using a single coded two-dimensional (2D) measurement, in which algorithms are used to perform the inverse…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Wei He , Naoto Yokoya , Xin Yuan

The problem of clustering noisy and incompletely observed high-dimensional data points into a union of low-dimensional subspaces and a set of outliers is considered. The number of subspaces, their dimensions, and their orientations are…

Machine Learning · Statistics 2015-08-24 Reinhard Heckel , Helmut Bölcskei

Subspace sparse coding (SSC) algorithms have proven to be beneficial to clustering problems. They provide an alternative data representation in which the underlying structure of the clusters can be better captured. However, most of the…

Machine Learning · Computer Science 2019-03-14 Babak Hosseini , Barbara Hammer

In this paper, a novel unsupervised low-rank representation model, i.e., Auto-weighted Low-Rank Representation (ALRR), is proposed to construct a more favorable similarity graph (SG) for clustering. In particular, ALRR enhances the…

Machine Learning · Computer Science 2021-04-27 Zhiqiang Fu , Yao Zhao , Dongxia Chang , Xingxing Zhang , Yiming Wang

Low-rank matrix approximation (LRMA) is a powerful technique for signal processing and pattern analysis. However, its potential for data compression has not yet been fully investigated in the literature. In this paper, we propose sparse…

Multimedia · Computer Science 2016-02-22 Junhui Hou , Lap-Pui Chau , Nadia Magnenat-Thalmann , Ying He

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

Machine Learning · Statistics 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

Although large language models (LLM) have achieved remarkable performance, their enormous parameter counts hinder deployment on resource-constrained hardware. Low-rank compression can reduce both memory usage and computational demand, but…

Computation and Language · Computer Science 2025-10-13 Yu-Chen Lu , Chong-Yan Chen , Chi-Chih Chang , Yu-Fang Hu , Kai-Chiang Wu

This paper studies the subspace clustering problem. Given some data points approximately drawn from a union of subspaces, the goal is to group these data points into their underlying subspaces. Many subspace clustering methods have been…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Canyi Lu , Jiashi Feng , Zhouchen Lin , Tao Mei , Shuicheng Yan

The high dimensionality of hyperspectral images often results in the degradation of clustering performance. Due to the powerful ability of deep feature extraction and non-linear feature representation, the clustering algorithm based on deep…

Machine Learning · Computer Science 2019-04-02 Jinguang Sun , Wanli Wang , Xian Wei , Li Fang , Xiaoliang Tang , Yusheng Xu , Hui Yu , Wei Yao

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

Machine Learning · Computer Science 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

Machine Learning · Computer Science 2020-05-05 Ying Chen , Chun-Guang Li , Chong You

Tag-based image retrieval (TBIR) has drawn much attention in recent years due to the explosive amount of digital images and crowdsourcing tags. However, the TBIR applications still suffer from the deficient and inaccurate tags provided by…

Computer Vision and Pattern Recognition · Computer Science 2016-08-09 Yuqing Hou , Zhouchen Lin

Compressive spectral imaging (CSI) has emerged as an attractive compression and sensing technique, primarily to sense spectral regions where traditional systems result in highly costly such as in the near-infrared spectrum. Recently, it has…

Machine Learning · Computer Science 2022-05-30 Jorge Bacca , Alejandra Hernandez-Rojas , Henry Arguello

In many applications, high-dimensional data points can be well represented by low-dimensional subspaces. To identify the subspaces, it is important to capture a global and local structure of the data which is achieved by imposing low-rank…

Machine Learning · Computer Science 2018-12-18 Maria Brbić , Ivica Kopriva

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

Signal Processing · Electrical Eng. & Systems 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

Multi-view spectral clustering, which aims at yielding an agreement or consensus data objects grouping across multi-views with their graph laplacian matrices, is a fundamental clustering problem. Among the existing methods, Low-Rank…

Machine Learning · Computer Science 2016-08-22 Yang Wang , Wenjie Zhang , Lin Wu , Xuemin Lin , Meng Fang , Shirui Pan

We propose Ordered Subspace Clustering (OSC) to segment data drawn from a sequentially ordered union of subspaces. Similar to Sparse Subspace Clustering (SSC) we formulate the problem as one of finding a sparse representation but include an…

Computer Vision and Pattern Recognition · Computer Science 2015-04-17 Stephen Tierney , Yi Guo , Junbin Gao

Matrix rank minimizing subject to affine constraints arises in many application areas, ranging from signal processing to machine learning. Nuclear norm is a convex relaxation for this problem which can recover the rank exactly under some…

Computer Vision and Pattern Recognition · Computer Science 2015-08-20 Zhao Kang , Chong Peng , Qiang Cheng

Under the framework of spectral clustering, the key of subspace clustering is building a similarity graph which describes the neighborhood relations among data points. Some recent works build the graph using sparse, low-rank, and…

Machine Learning · Computer Science 2017-05-17 Xi Peng , Huajin Tang , Lei Zhang , Zhang Yi , Shijie Xiao

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) denoising. Unfortunately, with more spectral bands for HSI, while the running time of these methods significantly…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao
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