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Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

The main objective of the Multiple Kernel k-Means (MKKM) algorithm is to extract non-linear information and achieve optimal clustering by optimizing base kernel matrices. Current methods enhance information diversity and reduce redundancy…

机器学习 · 计算机科学 2024-03-07 Rina Su , Yu Guo , Caiying Wu , Qiyu Jin , Tieyong Zeng

In this abstract paper, we introduce a new kernel learning method by a nonparametric density estimator. The estimator consists of a group of k-centroids clusterings. Each clustering randomly selects data points with randomly selected…

机器学习 · 计算机科学 2017-08-02 Xiao-Lei Zhang

Due to the complexity of cancer, clustering algorithms have been used to disentangle the observed heterogeneity and identify cancer subtypes that can be treated specifically. While kernel based clustering approaches allow the use of more…

机器学习 · 统计学 2018-11-21 Nora K. Speicher , Nico Pfeifer

We describe a robust, fast, and memory-efficient procedure that can cluster millions of structures derived from molecular dynamics simulations. The essence of the method is based on a peak-picking algorithm applied to three- and…

生物大分子 · 定量生物学 2015-12-15 Athanasios S. Baltzis , Panagiotis I. Koukos , Nicholas M. Glykos

Cluster structure detection is a fundamental task for the analysis of graphs, in order to understand and to visualize their functional characteristics. Among the different cluster structure detection methods, spectral clustering is…

Spectral clustering is a powerful unsupervised machine learning algorithm for clustering data with non convex or nested structures. With roots in graph theory, it uses the spectral properties of the Laplacian matrix to project the data in a…

量子物理 · 物理学 2021-06-15 Iordanis Kerenidis , Jonas Landman

In this work, we study the $k$-median clustering problem with an additional equal-size constraint on the clusters, from the perspective of parameterized preprocessing. Our main result is the first lossy ($2$-approximate) polynomial kernel…

数据结构与算法 · 计算机科学 2021-07-16 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , Nidhi Purohit , Kirill Simonov

We propose a novel methodology for feature screening in clustering massive datasets, in which both the number of features and the number of observations can potentially be very large. Taking advantage of a fusion penalization based convex…

统计方法学 · 统计学 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

The clustering ensemble technique aims to combine multiple clusterings into a probably better and more robust clustering and has been receiving an increasing attention in recent years. There are mainly two aspects of limitations in the…

机器学习 · 统计学 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

In kernel methods, temporal information on the data is commonly included by using time-delayed embeddings as inputs. Recently, an alternative formulation was proposed by defining a gamma-filter explicitly in a reproducing kernel Hilbert…

机器学习 · 统计学 2017-06-13 Steven Van Vaerenbergh , Simone Scardapane , Ignacio Santamaria

We have carried out a principal component analysis for 625 gamma-ray bursts in the BATSE 3B catalog for which non-zero values exist for the nine measured variables. This shows that only two out of the three basic quantities of duration,…

天体物理学 · 物理学 2008-03-22 Z. Bagoly , A. Meszaros , I. Horvath , L. G. Balazs , P. Meszaros

Gaussian Process (GP) has gained much attention in cosmology due to its ability to reconstruct cosmological data in a model-independent manner. In this study, we compare two methods for GP kernel selection: Approximate Bayesian Computation…

宇宙学与河外天体物理 · 物理学 2023-06-07 Hao Zhang , Yu-Chen Wang , Tong-Jie Zhang , Ting-ting Zhang

Cluster of galaxies are the largest concentrations of visible mass in the Universe and therefore a fundamental topic of cosmology and astrophysics. Recent radio, EUV, and X-ray observations suggest that clusters contain large populations of…

天体物理学 · 物理学 2007-05-23 P. Goldoni , A. Goldwurm , P. Laurent , M. Casse' , J. Paul , C. Sarazin

Hyperspectral imaging is a powerful technology that is plagued by large dimensionality. Herein, we explore a way to combat that hindrance via non-contiguous and contiguous (simpler to realize sensor) band grouping for dimensionality…

图像与视频处理 · 电气工程与系统科学 2019-05-31 Muhammad Aminul Islam , Derek T. Anderson , John E. Ball , Nicolas H. Younan

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

A new method for hierarchical clustering is presented. It combines treelets, a particular multiscale decomposition of data, with a projection on a reproducing kernel Hilbert space. The proposed approach, called kernel treelets (KT),…

机器学习 · 统计学 2019-07-24 Hedi Xia , Hector D. Ceniceros

A wavelet analysis has been performed on 80 intense gamma-ray bursts GRBs) from the BATSE 3B catalog with durations longer than 2 seconds. The wavelet analysis applied novel features developed for edge detection in image processing and this…

天体物理学 · 物理学 2010-12-13 Kevin J. Hurley , Brian McBreen , Fergus Quilligan , Matt Delaney , Lorraine Hanlon

We consider the problem of clustering partially labeled data from a minimal number of randomly chosen pairwise comparisons between the items. We introduce an efficient local algorithm based on a power iteration of the non-backtracking…

机器学习 · 计算机科学 2018-06-28 Alaa Saade , Florent Krzakala , Marc Lelarge , Lenka Zdeborová

Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data…

机器学习 · 统计学 2013-09-11 Jing Qian , Venkatesh Saligrama
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