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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…

Optimization and Control · Mathematics 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

Unsupervised learning, and more specifically clustering, suffers from the need for expertise in the field to be of use. Researchers must make careful and informed decisions on which algorithm to use with which set of hyperparameters for a…

Machine Learning · Computer Science 2021-12-28 Antoine Zambelli

We propose a new method for clustering based on the local minimization of the \gamma-divergence, which we call the spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters…

Methodology · Statistics 2013-05-01 Akifumi Notsu , Osamu Komori , Shinto Eguchi

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

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…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

We construct a method by which we can calculate the precision with which an algorithm identifies the shape of a cluster. We present our results for several well known clustering algorithms and suggest ways to improve performance for newer…

Computational Geometry · Computer Science 2017-07-27 Clark Alexander , Sofya Akhmametyeva

Estimating the number of clusters (K) is a critical and often difficult task in cluster analysis. Many methods have been proposed to estimate K, including some top performers using resampling approach. When performing cluster analysis in…

Methodology · Statistics 2019-09-05 Yujia Li , Xiangrui Zeng , Chien-Wei Lin , George Tseng

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…

Single-level density-based approach has long been widely acknowledged to be a conceptually and mathematically convincing clustering method. In this paper, we propose an algorithm called "best-scored clustering forest" that can obtain the…

Machine Learning · Statistics 2019-06-25 Hanyuan Hang , Yuchao Cai , Hanfang Yang

Utilizing the sample size of a dataset, the random cluster model is employed in order to derive an estimate of the mean number of K-Means clusters to form during classification of a dataset.

Machine Learning · Computer Science 2016-02-12 Robert A. Murphy

We consider the problem of the statistical uncertainty of the correlation matrix in the optimization of a financial portfolio. We show that the use of clustering algorithms can improve the reliability of the portfolio in terms of the ratio…

Physics and Society · Physics 2008-12-02 Vincenzo Tola , Fabrizio Lillo , Mauro Gallegati , Rosario N. Mantegna

Averaging amplitudes over consecutive time samples within a time-window is widely used to calculate the amplitude of an event-related potential (ERP) for cognitive neuroscience. Objective determination of the time-window is critical for…

Neurons and Cognition · Quantitative Biology 2019-11-22 Reza Mahini , Peng Xu , Guoliang Chen , Yansong Li , Weiyan Ding , Lei Zhang , Nauman Khalid Qureshi , Asoke K. Nandi , Fengyu Cong

Data clustering is a process of arranging similar data into groups. A clustering algorithm partitions a data set into several groups such that the similarity within a group is better than among groups. In this paper a hybrid clustering…

Databases · Computer Science 2012-05-25 Ravindra Jain

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

We present a new theoretical and numerical assessment methodology for a one-dimensional process chain with general applicability to management problems such as the optimization of decision chains or production chains. The process is thereby…

Economics · Quantitative Finance 2017-12-04 Johannes Freiesleben , Nicolas Guérin

Biclustering is a method for detecting homogeneous submatrices in a given observed matrix, and it is an effective tool for relational data analysis. Although there are many studies that estimate the underlying bicluster structure of a…

Methodology · Statistics 2021-07-16 Chihiro Watanabe , Taiji Suzuki

Determining optimal number of clusters in a dataset is a challenging task. Though some methods are available, there is no algorithm that produces unique clustering solution. The paper proposes an Automatic Merging for Single Optimal…

Computer Vision and Pattern Recognition · Computer Science 2012-02-09 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao

As single-cell gene expression data analysis continues to grow, the need for reliable clustering methods has become increasingly important. The prevalence of heuristic means for method choice could lead to inaccurate reports if…

Quantitative Methods · Quantitative Biology 2026-05-19 Owen Visser , Somnath Datta

This paper proposes a simple, automatic and efficient clustering algorithm, namely, Automatic Merging for Optimal Clusters (AMOC) which aims to generate nearly optimal clusters for the given datasets automatically. The AMOC is an extension…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao

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…

Methodology · Statistics 2020-09-10 Christian Hennig