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Related papers: Subspace Clustering in Wavelet Packets Domain

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We consider the problem of subspace clustering: given points that lie on or near the union of many low-dimensional linear subspaces, recover the subspaces. To this end, one first identifies sets of points close to the same subspace and uses…

Machine Learning · Statistics 2014-11-03 Dohyung Park , Constantine Caramanis , Sujay Sanghavi

We present the source separation framework SCARLET for multi-band images, which is based on a generalization of the Non-negative Matrix Factorization to alternative and several simultaneous constraints. Our approach describes the observed…

Instrumentation and Methods for Astrophysics · Physics 2018-08-14 Peter Melchior , Fred Moolekamp , Maximilian Jerdee , Robert Armstrong , Ai-Lei Sun , James Bosch , Robert Lupton

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

Machine Learning · Computer Science 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

We study a clustering problem where the goal is to maximize the coverage of the input points by $k$ chosen centers. Specifically, given a set of $n$ points $P \subseteq \mathbb{R}^d$, the goal is to pick $k$ centers $C \subseteq…

Computational Geometry · Computer Science 2020-04-14 Arturs Backurs , Sariel Har-Peled

Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Zhengrui Ma , Zhao Kang , Guangchun Luo , Ling Tian

Nodes localization in Wireless Sensor Networks (WSN) has arisen as a very challenging problem in the research community. Most of the applications for WSN are not useful without a priori known nodes positions. One solution to the problem is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-27 Biljana Stojkoska , Danco Davcev , Andrea Kulakov

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

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…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Subspace clustering algorithms are notorious for their scalability issues because building and processing large affinity matrices are demanding. In this paper, we introduce a method that simultaneously learns an embedding space along…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Tong Zhang , Pan Ji , Mehrtash Harandi , Richard Hartley , Ian Reid

Point cloud analysis (such as 3D segmentation and detection) is a challenging task, because of not only the irregular geometries of many millions of unordered points, but also the great variations caused by depth, viewpoint, occlusion, etc.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Tuo Feng , Wenguan Wang , Xiaohan Wang , Yi Yang , Qinghua Zheng

This letter presents a new spectral-clustering-based approach to the subspace clustering problem. Underpinning the proposed method is a convex program for optimal direction search, which for each data point d finds an optimal direction in…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Mostafa Rahmani , George Atia

Hyperspectral image (HSI) clustering is a challenging task due to the high complexity of HSI data. Subspace clustering has been proven to be powerful for exploiting the intrinsic relationship between data points. Despite the impressive…

Computer Vision and Pattern Recognition · Computer Science 2020-09-01 Yaoming Cai , Zijia Zhang , Zhihua Cai , Xiaobo Liu , Xinwei Jiang , Qin Yan

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

Discovering and clustering subspaces in high-dimensional data is a fundamental problem of machine learning with a wide range of applications in data mining, computer vision, and pattern recognition. Earlier methods divided the problem into…

Machine Learning · Statistics 2018-08-30 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

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…

Machine Learning · Computer Science 2019-08-05 Farhad Pourkamali-Anaraki

Channel Attention reigns supreme as an effective technique in the field of computer vision. However, the proposed channel attention by SENet suffers from information loss in feature learning caused by the use of Global Average Pooling (GAP)…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Hadi Salman , Caleb Parks , Shi Yin Hong , Justin Zhan

Sparse subspace clustering (SSC) is a state-of-the-art method for segmenting a set of data points drawn from a union of subspaces into their respective subspaces. It is now well understood that SSC produces subspace-preserving data affinity…

Signal Processing · Electrical Eng. & Systems 2018-11-22 Chun-Guang Li , Chong You , René Vidal

Subspace clustering is a growing field of unsupervised learning that has gained much popularity in the computer vision community. Applications can be found in areas such as motion segmentation and face clustering. It assumes that data…

Machine Learning · Statistics 2019-11-12 Hankui Peng , Nicos G. Pavlidis