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A fuzzy clustering algorithm for multidimensional data is proposed in this article. The data is described by vectors whose components are linguistic variables defined in an ordinal scale. The obtained results confirm the efficiency of the…

人工智能 · 计算机科学 2017-01-16 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

In this work clustering schemes for uncertain and structured data are considered relying on the notion of Wasserstein barycenters, accompanied by appropriate clustering indices based on the intrinsic geometry of the Wasserstein space where…

Many data clustering applications must handle objects that cannot be represented as vectors. In this context, the bag-of-vectors representation describes complex objects through discrete distributions, for which the Wasserstein distance…

机器学习 · 计算机科学 2025-10-15 Alfredo Oneto , Blazhe Gjorgiev , Giovanni Sansavini

Fuzzy Geographically Weighted Clustering (FGWC) is considered as a suitable tool for the analysis of geo-demographic data that assists the provision and planning of products and services to local people. Context variables were attached to…

人工智能 · 计算机科学 2015-04-15 Nguyen Van Minh , Le Hoang Son

In this paper two novel possibilistic clustering algorithms are presented, which utilize the concept of sparsity. The first one, called sparse possibilistic c-means, exploits sparsity and can deal well with closely located clusters that may…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Spyridoula D. Xenaki , Konstantinos D. Koutroumbas , Athanasios A. Rontogiannis

Fuzzy K-Means clustering is a critical technique in unsupervised data analysis. Unlike traditional hard clustering algorithms such as K-Means, it allows data points to belong to multiple clusters with varying degrees of membership,…

机器学习 · 计算机科学 2024-11-08 Yichen Bao , Han Lu , Quanxue Gao

Clustering is one of the widely used data mining techniques for medical diagnosis. Clustering can be considered as the most important unsupervised learning technique. Most of the clustering methods group data based on distance and few…

机器学习 · 计算机科学 2012-12-24 K. Dhanalakshmi , H. Hannah Inbarani

Fuzzy clustering algorithms can be roughly categorized into two main groups: Fuzzy C-Means (FCM) based methods and mixture model based methods. However, for almost all existing FCM based methods, how to automatically selecting proper…

机器学习 · 计算机科学 2024-05-24 Qiang Chen , Weizhong Yu , Feiping Nie , Xuelong Li

Using statistical learning methods to analyze stochastic simulation outputs can significantly enhance decision-making by uncovering relationships between different simulated systems and between a system's inputs and outputs. We focus on…

统计方法学 · 统计学 2026-05-28 Mohammadmahdi Ghasemloo , David J. Eckman

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

机器学习 · 统计学 2021-05-26 Viet Huynh , Nhat Ho , Nhan Dam , XuanLong Nguyen , Mikhail Yurochkin , Hung Bui , and Dinh Phung

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

机器学习 · 统计学 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

Cluster analysis is widely used in the areas of machine learning and data mining. Fuzzy clustering is a particular method that considers that a data point can belong to more than one cluster. Fuzzy clustering helps obtain flexible clusters,…

机器学习 · 计算机科学 2018-06-06 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

机器学习 · 计算机科学 2025-11-25 Naitik Gada

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

统计方法学 · 统计学 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Mean shift is a simple interactive procedure that gradually shifts data points towards the mode which denotes the highest density of data points in the region. Mean shift algorithms have been effectively used for data denoising, mode…

机器学习 · 计算机科学 2021-05-11 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

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

In this paper a novel possibilistic c-means clustering algorithm, called Adaptive Possibilistic c-means, is presented. Its main feature is that {\it all} its parameters, after their initialization, are properly adapted during its execution.…

计算机视觉与模式识别 · 计算机科学 2015-10-16 Spyridoula D. Xenaki , Konstantinos D. Koutroumbas , Athanasios A. Rontogiannis

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

机器学习 · 计算机科学 2022-06-13 Yiqun Zhang , Houbiao Li

In high energy physics experiments, calorimetric data reconstruction requires a suitable clustering technique in order to obtain accurate information about the shower characteristics such as position of the shower and energy deposition.…

核实验 · 物理学 2012-04-17 Radha Pyari Sandhir , Sanjib Muhuri , Tapan Nayak

In a variety of research areas, the weighted bag of vectors and the histogram are widely used descriptors for complex objects. Both can be expressed as discrete distributions. D2-clustering pursues the minimum total within-cluster variation…

统计计算 · 统计学 2017-01-10 Jianbo Ye , Panruo Wu , James Z. Wang , Jia Li