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Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

Data Structures and Algorithms · Computer Science 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

Biclustering has proved to be a powerful data analysis technique due to its wide success in various application domains. However, the existing literature presents efficient solutions only for enumerating maximal biclusters with constant…

Discrete Mathematics · Computer Science 2015-07-24 Rosana Veroneze , Arindam Banerjee , Fernando J. Von Zuben

Clustering is a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

The dynamical and physical properties of asteroid family members are widely used to reconstruct the collisional evolution of the main belt and of individual objects. Families offer insights into the properties of the parent bodies and the…

Earth and Planetary Astrophysics · Physics 2026-04-01 Roberto Balossi , Paolo Tanga , Aldo Dell'Oro

This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Machine Learning · Computer Science 2014-09-03 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

The problem of hierarchical clustering items from pairwise similarities is found across various scientific disciplines, from biology to networking. Often, applications of clustering techniques are limited by the cost of obtaining…

Machine Learning · Statistics 2012-07-20 Brian Eriksson

A recently proposed clustering method, called the Nearest Descent (ND), can organize the whole dataset into a sparsely connected graph, called the In-tree. This ND-based Intree structure proves able to reveal the clustering structure…

Machine Learning · Computer Science 2018-01-30 Teng Qiu , Yongjie Li

Bagging and boosting are proved to be the best methods of building multiple classifiers in classification combination problems. In the area of "flat clustering" problems, it is also recognized that multi-clustering methods based on boosting…

Machine Learning · Computer Science 2018-05-31 Elaheh Rashedi , Abdolreza Mirzaei

One of the main challenges for hierarchical clustering is how to appropriately identify the representative points in the lower level of the cluster tree, which are going to be utilized as the roots in the higher level of the cluster tree…

Machine Learning · Statistics 2021-11-16 Wen-Bo Xie , Zhen Liu , Jaideep Srivastava

In this paper a variant of the classical hierarchical cluster analysis is reported. This agglomerative (bottom-up) cluster technique is referred to as the Adaptive Mean-Linkage Algorithm. It can be interpreted as a linkage algorithm where…

Methodology · Statistics 2015-02-10 H. M. de Oliveira

A combinatorial cost function for hierarchical clustering was introduced by Dasgupta \cite{dasgupta2016cost}. It has been generalized by Cohen-Addad et al. \cite{cohen2019hierarchical} to a general form named admissible function. In this…

Machine Learning · Computer Science 2021-08-16 Yicheng Pan , Feng Zheng , Bingchen Fan

We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of…

Machine Learning · Statistics 2014-04-15 Omur Arslan , Daniel E. Koditschek

Although many successful ensemble clustering approaches have been developed in recent years, there are still two limitations to most of the existing approaches. First, they mostly overlook the issue of uncertain links, which may mislead the…

Machine Learning · Statistics 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

Context: Potentially hazardous asteroids (PHA) in Earth-crossing orbits pose a constant threat to life on Earth. Several mitigation methods have been proposed, and the most feasible technique appears to be the disintegration of the impactor…

Earth and Planetary Astrophysics · Physics 2023-09-06 Zs. Regaly , V. Frohlich , P. Berczik

Hierarchical clustering has been a popular method in various data analysis applications. It partitions a data set into a hierarchical collection of clusters, and can provide a global view of (cluster) structure behind data across different…

Data Structures and Algorithms · Computer Science 2018-12-19 Dingkang Wang , Yusu Wang

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

Data Structures and Algorithms · Computer Science 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

A new, improved version of a cosmic crystallography method for constraining cosmic topology is introduced. Like the circles-in-the-sky method using CMB data, we work in a thin, shell-like region containing plenty of objects. Two pairs of…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-19 Hirokazu Fujii , Yuzuru Yoshii

With the rapid development of online social media, online shopping sites and cyber-physical systems, heterogeneous information networks have become increasingly popular and content-rich over time. In many cases, such networks contain…

Databases · Computer Science 2012-02-01 Yizhou Sun , Charu C. Aggarwal , Jiawei Han

We introduce a novel ensemble approach for feature selection based on hierarchical stacking for non-stationarity and/or a limited number of samples with a large number of features. Our approach exploits the co-dependency between features…

Machine Learning · Computer Science 2024-10-08 Aysin Tumay , Mustafa E. Aydin , Ali T. Koc , Suleyman S. Kozat
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