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We propose a new clustering approach, called optimality-based clustering, that clusters data points based on their latent decision-making preferences. We assume that each data point is a decision generated by a decision-maker who…

最优化与控制 · 数学 2022-02-15 Zahed Shahmoradi , Taewoo Lee

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

统计方法学 · 统计学 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

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

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

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

The idea of representations of the data in negatively curved manifolds recently attracted a lot of attention and gave a rise to the new research direction named {\it hyperbolic machine learning} (ML). In order to unveil the full potential…

机器学习 · 计算机科学 2025-02-03 Vladimir Jaćimović , Aladin Crnkić

One potential solution to combat the scarcity of tail observations in extreme value analysis is to integrate information from multiple datasets sharing similar tail properties, for instance, a common extreme value index. In other words, for…

统计方法学 · 统计学 2025-06-25 Liujun Chen , Marco Oesting , Chen Zhou

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

The paper presents a cursory examination of clustering, focusing on a rarely explored field of hierarchy of clusters. Based on this, a short discussion of clustering quality measures is presented and the F-score measure is examined more…

计算机视觉与模式识别 · 计算机科学 2016-03-29 Michał Spytkowski , Łukasz P. Olech , Halina Kwaśnicka

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

机器学习 · 计算机科学 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Inferring cluster structure in microarray datasets is a fundamental task for the -omic sciences. A fundamental question in Statistics, Data Analysis and Classification, is the prediction of the number of clusters in a dataset, usually…

数据结构与算法 · 计算机科学 2011-02-16 Filippo Utro

We improve current instability-based methods for the selection of the number of clusters $k$ in cluster analysis by developing a normalized cluster instability measure that corrects for the distribution of cluster sizes, a previously…

机器学习 · 统计学 2018-10-16 Jonas M. B. Haslbeck , Dirk U. Wulff

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

计算几何 · 计算机科学 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

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…

经济学 · 定量金融 2017-12-04 Johannes Freiesleben , Nicolas Guérin

A new method for clustering functional data is proposed via information maximization. The proposed method learns a probabilistic classifier in an unsupervised manner so that mutual information (or squared loss mutual information) between…

应用统计 · 统计学 2023-06-08 Xinyu Li , Jianjun Xu , Haoyang Cheng

Efficient and robust data clustering remains a challenging task in the field of data analysis. Recent efforts have explored the integration of granular-ball (GB) computing with clustering algorithms to address this challenge, yielding…

机器学习 · 计算机科学 2024-05-16 Zihang Jia , Zhen Zhang , Witold Pedrycz

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…

机器学习 · 统计学 2019-06-25 Hanyuan Hang , Yuchao Cai , Hanfang Yang

A new cluster validity index is proposed for fuzzy clusters obtained from fuzzy c-means algorithm. The proposed validity index exploits inter-cluster proximity between fuzzy clusters. Inter-cluster proximity is used to measure the degree of…

人工智能 · 计算机科学 2024-07-10 Dae-Won Kim , Kwang H. Lee

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

计算机视觉与模式识别 · 计算机科学 2020-04-13 Shukun Zhang , James M. Murphy