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We introduce a new approach to deciding the number of clusters. The approach is applied to Optimally Tuned Robust Improper Maximum Likelihood Estimation (OTRIMLE; Coretto and Hennig 2016) of a Gaussian mixture model allowing for…

统计方法学 · 统计学 2020-12-29 Christian Hennig , Pietro Coretto

There are many cluster analysis methods that can produce quite different clusterings on the same dataset. Cluster validation is about the evaluation of the quality of a clustering; "relative cluster validation" is about using such criteria…

统计方法学 · 统计学 2020-09-10 Christian Hennig

Multiple datasets containing different types of features may be available for a given task. For instance, users' profiles can be used to group users for recommendation systems. In addition, a model can also use users' historical behaviors…

机器学习 · 计算机科学 2016-05-10 Weixiang Shao , Xiaoxiao Shi , Philip S. Yu

Clustering is a difficult and widely-studied data mining task, with many varieties of clustering algorithms proposed in the literature. Nearly all algorithms use a similarity measure such as a distance metric (e.g. Euclidean distance) to…

神经与进化计算 · 计算机科学 2019-10-24 Andrew Lensen , Bing Xue , Mengjie Zhang

Estimating causal effects from randomized experiments is only possible if participants are willing to disclose their potentially sensitive responses. Differential privacy, a widely used framework for ensuring an algorithms privacy…

机器学习 · 统计学 2025-05-29 Adel Javanmard , Vahab Mirrokni , Jean Pouget-Abadie

Fast and high quality document clustering is an important task in organizing information, search engine results obtaining from user query, enhancing web crawling and information retrieval. With the large amount of data available and with a…

信息检索 · 计算机科学 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

Clustering is a commonly used method for exploring and analysing data where the primary objective is to categorise observations into similar clusters. In recent decades, several algorithms and methods have been developed for analysing…

机器学习 · 计算机科学 2021-02-17 Bryar A. Hassan , Tarik A. Rashid

We propose some axioms for hierarchical clustering of probability measures and investigate their ramifications. The basic idea is to let the user stipulate the clusters for some elementary measures. This is done without the need of any…

机器学习 · 统计学 2016-05-24 Philipp Thomann , Ingo Steinwart , Nico Schmid

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

机器学习 · 统计学 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

社会与信息网络 · 计算机科学 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

Networks often exhibit structure at disparate scales. We propose a method for identifying community structure at different scales based on multiresolution modularity and consensus clustering. Our contribution consists of two parts. First,…

社会与信息网络 · 计算机科学 2018-02-01 Lucas G. S. Jeub , Olaf Sporns , Santo Fortunato

We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial optimization…

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

机器学习 · 统计学 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

统计方法学 · 统计学 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

To adapt kernel two-sample and independence testing to complex structured data, aggregation of multiple kernels is frequently employed to boost testing power compared to single-kernel tests. However, we observe a phenomenon that directly…

机器学习 · 计算机科学 2025-10-14 Zhijian Zhou , Xunye Tian , Liuhua Peng , Chao Lei , Antonin Schrab , Danica J. Sutherland , Feng Liu

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

机器学习 · 计算机科学 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

In this paper, we initiate the study of fair clustering that ensures distributional similarity among similar individuals. In response to improving fairness in machine learning, recent papers have investigated fairness in clustering…

机器学习 · 计算机科学 2020-06-24 Nihesh Anderson , Suman K. Bera , Syamantak Das , Yang Liu

Spectral clustering algorithms typically require a priori selection of input parameters such as the number of clusters, a scaling parameter for the affinity measure, or ranges of these values for parameter tuning. Despite efforts for…

机器学习 · 计算机科学 2019-03-20 Milad Afzalan , Farrokh Jazizadeh

Semi-supervised clustering methods incorporate a limited amount of supervision into the clustering process. Typically, this supervision is provided by the user in the form of pairwise constraints. Existing methods use such constraints in…

机器学习 · 统计学 2016-09-26 Toon Van Craenendonck , Hendrik Blockeel