Robust clustering of functional directional data

Author:

Álvarez-Esteban Pedro C.ORCID,García-Escudero Luis A.

Abstract

AbstractA robust approach for clustering functional directional data is proposed. The proposal adapts “impartial trimming” techniques to this particular framework. Impartial trimming uses the dataset itself to tell us which appears to be the most outlying curves. A feasible algorithm is proposed for its practical implementation justified by some theoretical properties. A “warping” approach is also introduced which allows including controlled time warping in that robust clustering procedure to detect typical “templates”. The proposed methodology is illustrated in a real data analysis problem where it is applied to cluster aircraft trajectories.

Funder

Centre for Industrial Technological Development

Ministerio de Economía y Competitividad

Consejería de Educación, Junta de Castilla y León

Consejería de Educación

Junta de Castilla y León

European Regional Development Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Statistics and Probability

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Clustering on the cylinder, sphere and torus–Statistical machine learning approaches;FIRST INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE & DATA ANALYTICS: Incorporating the 1st South-East Asia Workshop on Computational Physics and Data Analytics (CPDAS 2021);2023

2. Basis expansion approaches for functional analysis of variance with repeated measures;Advances in Data Analysis and Classification;2022-04-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3