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We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

统计方法学 · 统计学 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

机器学习 · 计算机科学 2025-10-16 Marek Gagolewski

Brain responses related to working memory originate from distinct brain areas and oscillate at different frequencies. EEG signals with high temporal correlation can effectively capture these responses. Therefore, estimating the functional…

机器学习 · 计算机科学 2024-05-01 Harshini Gangapuram , Vidya Manian

Modularity is widely used to effectively measure the strength of the disjoint community structure found by community detection algorithms. Several overlapping extensions of modularity were proposed to measure the quality of overlapping…

社会与信息网络 · 计算机科学 2018-07-02 Mingming Chen , Boleslaw K. Szymanski

Measures of association between cortical regions based on activity signals provide useful information for studying brain functional connectivity. Difficulties occur with signals of electric neuronal activity, where an observed signal is a…

统计方法学 · 统计学 2024-01-09 Roberto D. Pascual-Marqui , Kieko Kochi , Toshihiko Kinoshita

Performing analytic of household load curves (LCs) has significant value in predicting individual electricity consumption patterns, and hence facilitate developing demand-response strategy, and finally achieve energy efficiency improvement…

数据结构与算法 · 计算机科学 2018-11-27 Yunyou Huang , Jianfeng Zhan , Nana Wang , Chunjie Luo , Lei Wang , Rui Ren

Predicting post-operative seizure freedom using functional correlation networks derived from interictal intracranial EEG has shown some success. However, there are important challenges to consider. 1: electrodes physically closer to each…

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

物理与社会 · 物理学 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

Functional MRI is a neuroimaging technique that analyzes the functional activity of the brain by measuring blood-oxygen-level-dependent signals throughout the brain. The derived functional features can be used for investigating brain…

神经元与认知 · 定量生物学 2026-02-16 Giorgio Dolci , Silvia Saglia , Lorenza Brusini , Vince D. Calhoun , Ilaria Boscolo Galazzo , Gloria Menegaz

Reliable outlier detection in high-dimensional data is crucial in modern science, yet it remains a challenging task. Traditional methods often break down in these settings due to their reliance on asymptotic behaviors with respect to sample…

统计方法学 · 统计学 2025-11-05 Seong-ho Lee , Yongho Jeon

This paper applies conformal prediction techniques to compute simultaneous prediction bands and clustering trees for functional data. These tools can be used to detect outliers and clusters. Both our prediction bands and clustering trees…

机器学习 · 统计学 2013-02-27 Jing Lei , Alessandro Rinaldo , Larry Wasserman

Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learning is typically applied with the assist of side-information provided by experts,…

机器学习 · 计算机科学 2021-05-27 Rodrigo Randel , Daniel Aloise , Alain Hertz

Functional data analysis involves data described by regular functions rather than by a finite number of real valued variables. While some robust data analysis methods can be applied directly to the very high dimensional vectors obtained…

机器学习 · 统计学 2012-01-06 Fabrice Rossi , Yves Lechevallier

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

Clustering is a popular machine learning technique for data mining that can process and analyze datasets to automatically reveal sample distribution patterns. Since the ubiquitous categorical data naturally lack a well-defined metric space…

机器学习 · 计算机科学 2025-09-01 Yiqun Zhang , Mingjie Zhao , Hong Jia , Yang Lu , Mengke Li , Yiu-ming Cheung

The clustering coefficient quantifies the abundance of connected triangles in a network and is a major descriptive statistics of networks. For example, it finds an application in the assessment of small-worldness of brain networks, which is…

物理与社会 · 物理学 2018-06-28 Naoki Masuda , Michiko Sakaki , Takahiro Ezaki , Takamitsu Watanabe

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

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

机器学习 · 统计学 2024-01-09 Nathakhun Wiroonsri

The widespread adoption of smart meters for monitoring energy consumption has generated vast quantities of high-resolution time series data which remains underutilised. While clustering has emerged as a fundamental tool for mining smart…

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

计算机视觉与模式识别 · 计算机科学 2020-01-10 Luciano da F. Costa