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We develop a new method to locally cluster curves and discover functional motifs, i.e.~typical ``shapes'' that may recur several times along and across the curves capturing important local characteristics. In order to identify these shared…

统计方法学 · 统计学 2023-01-30 Marzia A. Cremona , Francesca Chiaromonte

In real-world application scenarios, the identification of groups poses a significant challenge due to possibly occurring outliers and existing noise variables. Therefore, there is a need for a clustering method which is capable of…

统计方法学 · 统计学 2017-09-29 Sarka Brodinova , Peter Filzmoser , Thomas Ortner , Christian Breiteneder , Maia Zaharieva

In the design of clinical trials, it is essential to assess the design operating characteristics (e.g., power and the type I error rate). Common practice for the evaluation of operating characteristics in Bayesian clinical trials relies on…

统计方法学 · 统计学 2026-03-17 Luke Hagar , Shirin Golchi

There is a rich literature on clustering functional data with applications to time-series modeling, trajectory data, and even spatio-temporal applications. However, existing methods routinely perform global clustering that enforces…

统计方法学 · 统计学 2024-12-16 Tsung-Hung Yao , Suprateek Kundu

The $k$-Means algorithm is one of the most popular choices for clustering data but is well-known to be sensitive to the initialization process. There is a substantial number of methods that aim at finding optimal initial seeds for…

应用统计 · 统计学 2021-06-03 Javier Albert-Smet , Aurora Torrente , Juan Romo

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

统计方法学 · 统计学 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

In cluster analysis, a common first step is to scale the data aiming to better partition them into clusters. Even though many different techniques have throughout many years been introduced to this end, it is probably fair to say that the…

机器学习 · 计算机科学 2023-05-30 Eduardo J. Aguilar , Valmir C. Barbosa

We propose a novel framework for sparse functional clustering that also embeds an alignment step. Sparse functional clustering means finding a grouping structure while jointly detecting the parts of the curves' domains where their grouping…

统计方法学 · 统计学 2019-12-03 Valeria Vitelli

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

We introduce a repulsive mixture model to cluster observation units represented by multivariate functional data, based on similarity of curve shapes and individual-specific covariates. We propose a repulsive prior distribution for the…

统计方法学 · 统计学 2026-03-10 Ricardo Cunha Pedroso , Fernando Andrés Quintana , Rosangela Helena Loschi

We introduce a Bayesian framework for indirect local clustering of functional data, leveraging B-spline basis expansions and a novel dependent random partition model. By exploiting the local support properties of B-splines, our approach…

统计方法学 · 统计学 2026-04-03 Giovanni Toto , Antonio Canale

We present two methods for detecting patterns and clusters in high dimensional time-dependent functional data. Our methods are based on wavelet-based similarity measures, since wavelets are well suited for identifying highly discriminant…

统计方法学 · 统计学 2013-02-15 Anestis Antoniadis , Xavier Brossat , Jairo Cugliari , Jean-Michel Poggi

Vibration-based condition monitoring systems are receiving increasing attention due to their ability to accurately identify different conditions by capturing dynamic features over a broad frequency range. However, there is little research…

机器学习 · 计算机科学 2023-05-12 Philipp Sepin , Jana Kemnitz , Safoura Rezapour Lakani , Daniel Schall

In this article, we propose a penalized clustering method for large scale data with multiple covariates through a functional data approach. In the proposed method, responses and covariates are linked together through nonparametric…

统计方法学 · 统计学 2008-01-17 Ping Ma , Wenxuan Zhong

Understanding treatment effect heterogeneity is vital for scientific and policy research. However, identifying and evaluating heterogeneous treatment effects pose significant challenges due to the typically unknown subgroup structure.…

统计方法学 · 统计学 2024-11-05 Kwangho Kim , Jisu Kim , Larry A. Wasserman , Edward H. Kennedy

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…

信息检索 · 计算机科学 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

A major challenge in cluster analysis is that the number of data clusters is mostly unknown and it must be estimated prior to clustering the observed data. In real-world applications, the observed data is often subject to heavy tailed noise…

机器学习 · 统计学 2020-05-06 Freweyni K. Teklehaymanot , Michael Muma , Abdelhak M. Zoubir

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

统计方法学 · 统计学 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

This paper presents a new fuzzy k-means algorithm for the clustering of high-dimensional data in various subspaces. Since high-dimensional data, some features might be irrelevant and relevant but may have different significance in the…

机器学习 · 计算机科学 2025-02-14 Vikas Singh , Nishchal K. Verma