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A new model called Clustering with Neural Network and Index (CNNI) is introduced. CNNI uses a Neural Network to cluster data points. Training of the Neural Network mimics supervised learning, with an internal clustering evaluation index…

Machine Learning · Computer Science 2024-12-03 Gangli Liu

Determining the number of clusters is a central challenge in unsupervised learning, where ground-truth labels are unavailable. The Silhouette coefficient is a widely used internal validation metric for this task, yet its standard…

Machine Learning · Computer Science 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

Purpose: The primary goal of this study is to explore the application of evaluation metrics to different clustering algorithms using the data provided from the Canadian Longitudinal Study (CLSA), focusing on cognitive features. The…

Machine Learning · Computer Science 2025-05-19 ChenNingZhi Sheng

Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

Methodology · Statistics 2025-09-15 Bettina Grün

The explosion in the amount of data available for analysis often necessitates a transition from batch to incremental clustering methods, which process one element at a time and typically store only a small subset of the data. In this paper,…

Machine Learning · Computer Science 2014-06-26 Margareta Ackerman , Sanjoy Dasgupta

The evaluation of clustering algorithms can involve running them on a variety of benchmark problems, and comparing their outputs to the reference, ground-truth groupings provided by experts. Unfortunately, many research papers and graduate…

Machine Learning · Computer Science 2023-10-27 Marek Gagolewski

Globular Clusters (GCs) have historically been subdivided in either two (disk/halo) or three (disk/inner-halo/outer-halo) groups based on their orbital, chemical and internal physical properties. The qualitative nature of this subdivision…

Astrophysics of Galaxies · Physics 2020-01-08 Mario Pasquato , Chul Chung

This paper considers the problem of evaluating clusterings of very large populations of items. Given two clusterings, namely a Baseline clustering and an Experiment clustering, the tasks are twofold: 1) characterize their differences, and…

Information Retrieval · Computer Science 2024-08-01 Stephan van Staden , Alexander Grubb

Clustering is a fundamental task in unsupervised learning, but most existing methods heavily rely on hyperparameters such as the number of clusters or other sensitive settings, limiting their applicability in real-world scenarios. To…

Machine Learning · Computer Science 2026-03-25 Lijun Zhang , Suyuan Liu , Siwei Wang , Shengju Yu , Xueling Zhu , Miaomiao Li , Xinwang Liu

Cluster validity indexes are very important tools designed for two purposes: comparing the performance of clustering algorithms and determining the number of clusters that best fits the data. These indexes are in general constructed by…

Machine Learning · Computer Science 2018-12-24 Ahmed Ben Said , Rachid Hadjidj , Sebti Foufou

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

Machine Learning · Statistics 2018-10-09 Kumarjit Pathak , Jitin Kapila

In the last years, Astroinformatics has become a well defined paradigm for many fields of Astronomy. In this work we demonstrate the potential of a multidisciplinary approach to identify globular clusters (GCs) in the Fornax cluster of…

In many applications we want to find the number of clusters in a dataset. A common approach is to use the penalized k-means algorithm with an additive penalty term linear in the number of clusters. An open problem is estimating the value of…

Machine Learning · Computer Science 2019-11-18 Behzad Kamgar-Parsi , Behrooz Kamgar-Parsi

This paper presents and analyzes an approach to cluster-based inference for dependent data. The primary setting considered here is with spatially indexed data in which the dependence structure of observed random variables is characterized…

Statistics Theory · Mathematics 2022-11-16 Jianfei Cao , Christian Hansen , Damian Kozbur , Lucciano Villacorta

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

Clustering methods based on deep neural networks have proven promising for clustering real-world data because of their high representational power. In this paper, we propose a systematic taxonomy of clustering methods that utilize deep…

Machine Learning · Computer Science 2018-09-17 Elie Aljalbout , Vladimir Golkov , Yawar Siddiqui , Maximilian Strobel , Daniel Cremers

We propose a novel clustering pipeline that combines two classic clustering algorithms to better understand student problem-solving strategies. This unsupervised machine learning method helps uncover patterns in reasoning without…

Physics Education · Physics 2025-04-15 Winter Allen , N. Sanjay Rebello

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…

Information Retrieval · Computer Science 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

We conduct a comparative analysis on various estimates of the number of clusters in community detection. An exhaustive comparison requires testing of all possible combinations of frameworks, algorithms, and assessment criteria. In this…

Social and Information Networks · Computer Science 2018-03-08 Tatsuro Kawamoto , Yoshiyuki Kabashima

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. For most applications, applying clustering is only appropriate when cluster structure is present. As such, the study of clusterability,…

Machine Learning · Statistics 2018-10-30 A. Adolfsson , M. Ackerman , N. C. Brownstein
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