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Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

In this paper, we present novel variations of an earlier approach called homogeneous clustering algorithm for reducing dataset size. The intuition behind the approaches proposed in this paper is to partition the dataset into homogeneous…

Machine Learning · Computer Science 2022-08-30 Shril Mody , Janvi Thakkar , Devvrat Joshi , Siddharth Soni , Rohan Patil , Nipun Batra

Dictionary learning and sparse coding have been widely studied as mechanisms for unsupervised feature learning. Unsupervised learning could bring enormous benefit to the processing of hyperspectral images and to other remote sensing data…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Joshua Bruton , Hairong Wang

Fairness of decision-making algorithms is an increasingly important issue. In this paper, we focus on spectral clustering with group fairness constraints, where every demographic group is represented in each cluster proportionally as in the…

Machine Learning · Computer Science 2025-06-11 Francesco Tonin , Alex Lambert , Johan A. K. Suykens , Volkan Cevher

In this paper, the new algorithm based on clustered multitask network is proposed to solve spectral unmixing problem in hyperspectral imagery. In the proposed algorithm, the clustered network is employed. Each pixel in the hyperspectral…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Orthogonal Matching Pursuit (OMP) plays an important role in data science and its applications such as sparse subspace clustering and image processing. However, the existing OMP-based approaches lack of data adaptiveness so that the data…

Machine Learning · Computer Science 2019-09-02 Jiaqiyu Zhan , Zhiqiang Bai , Yuesheng Zhu

Unmanned Aerial Vehicles (UAVs) combined with Hyperspectral imaging (HSI) offer potential for environmental and agricultural applications by capturing detailed spectral information that enables the prediction of invisible features like…

Computer Vision and Pattern Recognition · Computer Science 2025-01-20 Ciem Cornelissen , Sam Leroux , Pieter Simoens

In this chapter we review the main literature related to kernel spectral clustering (KSC), an approach to clustering cast within a kernel-based optimization setting. KSC represents a least-squares support vector machine based formulation of…

Machine Learning · Computer Science 2015-05-05 Rocco Langone , Raghvendra Mall , Carlos Alzate , Johan A. K. Suykens

Improved performance in higher-order spectral density estimation is achieved using a general class of infinite-order kernels. These estimates are asymptotically less biased but with the same order of variance as compared to the classical…

Statistics Theory · Mathematics 2007-06-13 Arthur Berg , Dimitris Politis

This paper focuses on scalability and robustness of spectral clustering for extremely large-scale datasets with limited resources. Two novel algorithms are proposed, namely, ultra-scalable spectral clustering (U-SPEC) and ultra-scalable…

Machine Learning · Computer Science 2019-03-06 Dong Huang , Chang-Dong Wang , Jian-Sheng Wu , Jian-Huang Lai , Chee-Keong Kwoh

Visual feature clustering is one of the cost-effective approaches to segment objects in videos. However, the assumptions made for developing the existing algorithms prevent them from being used in situations like segmenting an unknown…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 A. M. R. R. Bandara , L. Ranathunga , N. A. Abdullah

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

Constrained clustering has been well-studied for algorithms such as $K$-means and hierarchical clustering. However, how to satisfy many constraints in these algorithmic settings has been shown to be intractable. One alternative to encode…

Machine Learning · Computer Science 2012-09-24 Xiang Wang , Buyue Qian , Ian Davidson

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

Machine Learning · Computer Science 2023-10-31 Oleg I. Berngardt

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables, corrupted by the random noise. The entire clustering task…

The integration of hyperspectral imaging (HSI) and Light Detection and Ranging (LiDAR) data provides complementary spectral and spatial information for remote sensing applications. While previous studies have explored the role of band…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Judy X Yang , Jing Wang , Zhuanfeng , Li , Chenhong Sui Zekun Long , Jun Zhou

We present a nonparametric method for selecting informative features in high-dimensional clustering problems. We start with a screening step that uses a test for multimodality. Then we apply kernel density estimation and mode clustering to…

Statistics Theory · Mathematics 2014-06-10 Larry Wasserman , Martin Azizyan , Aarti Singh

In this thesis, we propose several modelling strategies to tackle evolving data in different contexts. In the framework of static clustering, we start by introducing a soft kernel spectral clustering (SKSC) algorithm, which can better deal…

Social and Information Networks · Computer Science 2014-11-24 Rocco Langone

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

Despite recent development in methodology, community detection remains a challenging problem. Existing literature largely focuses on the standard setting where a network is learned using an observed adjacency matrix from a single data…

Methodology · Statistics 2018-06-21 Luwan Zhang , Katherine Liao , Issac Kohane , Tianxi Cai
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