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In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

机器学习 · 统计学 2012-03-07 Brian McWilliams , Giovanni Montana

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

机器学习 · 计算机科学 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and…

数值分析 · 数学 2010-11-05 Blake Hunter , Thomas Strohmer

Representation based classification methods have become a hot research topic during the past few years, and the two most prominent approaches are sparse representation based classification (SRC) and collaborative representation based…

计算机视觉与模式识别 · 计算机科学 2020-01-22 Zi-Qi Li , Jun Sun , Xiao-Jun Wu , He-Feng Yin

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

计算机视觉与模式识别 · 计算机科学 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

High-order clustering aims to classify objects in multiway datasets that are prevalent in various fields such as bioinformatics, recommendation systems, and social network analysis. Such data are often sparse and high-dimensional, posing…

统计理论 · 数学 2025-12-05 Ian Välimaa , Lasse Leskelä

Subspace clustering is a powerful unsupervised approach for hyperspectral image (HSI) analysis, but its high computational and memory costs limit scalability. Superpixel segmentation can improve efficiency by reducing the number of data…

计算机视觉与模式识别 · 计算机科学 2025-09-30 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Aleksandra Pizurica

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

信息论 · 计算机科学 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

Sparse Subspace Clustering (SSC) is one of the most popular methods for clustering data points into their underlying subspaces. However, SSC may suffer from heavy computational burden. Orthogonal Matching Pursuit applied on SSC accelerates…

机器学习 · 计算机科学 2020-01-08 Wenqi Zhu , Yuesheng Zhu , Li Zhong , Shuai Yang

An improved version of the sparse multiway kernel spectral clustering (KSC) is presented in this brief. The original algorithm is derived from weighted kernel principal component (KPCA) analysis formulated within the primal-dual…

机器学习 · 计算机科学 2023-10-23 Mihaly Novak , Rocco Langone , Carlos Alzate , Johan Suykens

Sparse Subspace Clustering (SSC) is a state-of-the-art method for clustering high-dimensional data points lying in a union of low-dimensional subspaces. However, while $\ell_1$ optimization-based SSC algorithms suffer from high…

机器学习 · 计算机科学 2018-02-14 Yanxi Chen , Gen Li , Yuantao Gu

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2015-05-27 Guoshen Yu , Guillermo Sapiro

Subspace clustering methods based on expressing each data point as a linear combination of all other points in a dataset are popular unsupervised learning techniques. However, existing methods incur high computational complexity on…

机器学习 · 计算机科学 2019-08-05 Farhad Pourkamali-Anaraki

Sparse subspace clustering (SSC), as one of the most successful subspace clustering methods, has achieved notable clustering accuracy in computer vision tasks. However, SSC applies only to vector data in Euclidean space. As such, there is…

计算机视觉与模式识别 · 计算机科学 2016-03-08 Ming Yin , Yi Guo , Junbin Gao , Zhaoshui He , Shengli Xie

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…

机器学习 · 计算机科学 2022-05-30 Jorge Bacca , Alejandra Hernandez-Rojas , Henry Arguello

Subspace clustering techniques have shown promise in hyperspectral image segmentation. The fundamental assumption in subspace clustering is that the samples belonging to different clusters/segments lie in separable subspaces. What if this…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Anurag Goel , Angshul Majumdar

A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based…

计算机视觉与模式识别 · 计算机科学 2019-09-30 Tanaya Guha , Rabab K. Ward

The problem of dimension reduction is of increasing importance in modern data analysis. In this paper, we consider modeling the collection of points in a high dimensional space as a union of low dimensional subspaces. In particular we…

机器学习 · 统计学 2020-06-12 Weiwei Li , Jan Hannig , Sayan Mukherjee

In the last few years, large improvements in image clustering have been driven by the recent advances in deep learning. However, due to the architectural complexity of deep neural networks, there is no mathematical theory that explains the…

计算机视觉与模式识别 · 计算机科学 2021-08-30 Angel Villar-Corrales , Veniamin I. Morgenshtern

Subspace clustering (SC) refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Based on spectral clustering, state-of-the-art approaches solve SC problem within a two-stage framework. In the…

机器学习 · 计算机科学 2019-05-06 Shuai Yang , Wenqi Zhu , Yuesheng Zhu