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Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

机器学习 · 计算机科学 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

Sparse subspace clustering (SSC) is an elegant approach for unsupervised segmentation if the data points of each cluster are located in linear subspaces. This model applies, for instance, in motion segmentation if some restrictions on the…

机器学习 · 统计学 2018-02-12 Hanno Ackermann , Michael Ying Yang , Bodo Rosenhahn

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

统计方法学 · 统计学 2021-04-02 Saptarshi Chakraborty , Jason Xu

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

机器学习 · 统计学 2020-11-13 Joshua Tobin , Mimi Zhang

Spectral clustering is one of the most prominent clustering approaches. The distance-based similarity is the most widely used method for spectral clustering. However, people have already noticed that this is not suitable for multi-scale…

机器学习 · 计算机科学 2020-09-11 Hengrui Wang , Yubo Zhang , Mingzhi Chen , Tong Yang

In addition to finding meaningful clusters, centroid-based clustering algorithms such as K-means or mean-shift should ideally find centroids that are valid patterns in the input space, representative of data in their cluster. This is…

机器学习 · 计算机科学 2014-06-17 Weiran Wang , Miguel Á. Carreira-Perpiñán

Modern information processing relies on the axiom that high-dimensional data lie near low-dimensional geometric structures. This paper revisits the problem of data-driven learning of these geometric structures and puts forth two new…

机器学习 · 统计学 2018-03-06 Tong Wu , Waheed U. Bajwa

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…

计算机视觉与模式识别 · 计算机科学 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

机器学习 · 计算机科学 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

In this paper, we focus on unsupervised representation learning for clustering of images. Recent advances in deep clustering and unsupervised representation learning are based on the idea that different views of an input image (generated…

计算机视觉与模式识别 · 计算机科学 2022-04-26 Aniket Anand Deshmukh , Jayanth Reddy Regatti , Eren Manavoglu , Urun Dogan

In the past few years co-clustering has emerged as an important data mining tool for two way data analysis. Co-clustering is more advantageous over traditional one dimensional clustering in many ways such as, ability to find highly…

机器学习 · 计算机科学 2014-12-02 Chandrima Sarkar , Jaideep Srivastava

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

机器学习 · 计算机科学 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

Clustering uncertain data is an essential task in data mining for the internet of things. Possible world based algorithms seem promising for clustering uncertain data. However, there are two issues in existing possible world based…

机器学习 · 计算机科学 2019-09-30 Han Liu , Xianchao Zhang , Xiaotong Zhang , Qimai Li , Xiao-Ming Wu

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

计算机视觉与模式识别 · 计算机科学 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

Similarity-based clustering methods separate data into clusters according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper, we propose {\em Clustering by Discriminative…

机器学习 · 计算机科学 2022-06-24 Yingzhen Yang , Ping Li

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

机器学习 · 统计学 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

Correlation clustering is a central problem in unsupervised learning, with applications spanning community detection, duplicate detection, automated labelling and many more. In the correlation clustering problem one receives as input a set…

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

机器学习 · 计算机科学 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert