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The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

Visual grouping is a key mechanism in human scene perception. There, it belongs to the subconscious, early processing and is key prerequisite for other high level tasks such as recognition. In this paper, we introduce an efficient, realtime…

计算机视觉与模式识别 · 计算机科学 2016-09-23 Dominik Alexander Klein , Dirk Schulz , Armin Bernd Cremers

Hierarchical clustering is a critical task in numerous domains. Many approaches are based on heuristics and the properties of the resulting clusterings are studied post hoc. However, in several applications, there is a natural cost function…

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

最优化与控制 · 数学 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

机器学习 · 统计学 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

计算几何 · 计算机科学 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

机器学习 · 计算机科学 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Many real-world clustering problems are plagued by incomplete data characterized by missing or absent features for some or all of the data instances. Traditional clustering methods cannot be directly applied to such data without…

机器学习 · 计算机科学 2018-07-10 Shounak Datta , Supritam Bhattacharjee , Swagatam Das

This paper describes a method for clustering data that are spread out over large regions and which dimensions are on different scales of measurement. Such an algorithm was developed to implement a robotics application consisting in sorting…

机器学习 · 计算机科学 2017-03-23 Joris Guérin , Olivier Gibaru , Stéphane Thiery , Eric Nyiri

Clustering analysis has received considerable attention in spatial data mining for several years. With the rapid development of the geospatial information technologies, the size of spatial information data is growing exponentially which…

分布式、并行与集群计算 · 计算机科学 2016-08-25 Xia Yue , Wang Man , Jun Yue , Guangcao Liu

In consensus clustering, a clustering algorithm is used in combination with a subsampling procedure to detect stable clusters. Previous studies on both simulated and real data suggest that consensus clustering outperforms native algorithms.…

This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods that, based on the dissimilarity structure, output hierarchical clusters, i.e., a family of nested…

机器学习 · 计算机科学 2016-07-22 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

We address the problem of cluster identity estimation in a hierarchical federated learning setting in which users work toward learning different tasks. To overcome the challenge of task heterogeneity, users need to be grouped in a way such…

机器学习 · 计算机科学 2024-10-04 Abdulmoneam Ali , Ahmed Arafa

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

机器学习 · 计算机科学 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Recent works on Hierarchical Clustering (HC), a well-studied problem in exploratory data analysis, have focused on optimizing various objective functions for this problem under arbitrary similarity measures. In this paper we take the first…

数据结构与算法 · 计算机科学 2018-12-31 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh , Grigory Yaroslavtsev

In high dimensional regression, feature clustering by their effects on outcomes is often as important as feature selection. For that purpose, clustered Lasso and octagonal shrinkage and clustering algorithm for regression (OSCAR) are used…

机器学习 · 统计学 2020-06-17 Atsumori Takahashi , Shunichi Nomura

Hierarchical clustering is a recursive partitioning of a dataset into clusters at an increasingly finer granularity. Motivated by the fact that most work on hierarchical clustering was based on providing algorithms, rather than optimizing a…

数据结构与算法 · 计算机科学 2017-04-10 Vincent Cohen-Addad , Varun Kanade , Frederik Mallmann-Trenn , Claire Mathieu

A limitation of many clustering algorithms is the requirement to tune adjustable parameters for each application or even for each dataset. Some techniques require an \emph{a priori} estimate of the number of clusters while density-based…

统计方法学 · 统计学 2016-05-20 Jeremy F. Magland , Alex H. Barnett

Efficient exact algorithms for Discrete Optimization (DO) rely heavily on strong primal and dual bounds. Relaxed Decision Diagrams (DDs) provide a versatile mechanism for deriving such dual bounds by compactly over-approximating the…

人工智能 · 计算机科学 2025-12-18 Mohsen Nafar , Michael Römer , Lin Xie

In this paper, we propose a low-rank representation with symmetric constraint (LRRSC) method for robust subspace clustering. Given a collection of data points approximately drawn from multiple subspaces, the proposed technique can…

计算机视觉与模式识别 · 计算机科学 2017-05-16 Jie Chen , Hua Mao , Yongsheng Sang , Zhang Yi