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We present an algorithm for computing $\epsilon$-coresets for $(k, \ell)$-median clustering of polygonal curves in $\mathbb{R}^d$ under the Fr\'echet distance. This type of clustering is an adaption of Euclidean $k$-median clustering: we…

计算几何 · 计算机科学 2021-11-22 Maike Buchin , Dennis Rohde

The Fr\'echet distance is a popular distance measure for curves. We study the problem of clustering time series under the Fr\'echet distance. In particular, we give $(1+\varepsilon)$-approximation algorithms for variations of the following…

计算几何 · 计算机科学 2015-12-15 Anne Driemel , Amer Krivošija , Christian Sohler

Most data processing techniques, applied to biomedical and sociological time series, are only valid for random fluctuations that are stationary in time. Unfortunately, these data are often non stationary and the use of techniques of…

数据分析、统计与概率 · 物理学 2009-11-10 M. Ignaccolo , P. Allegrini , P. Grigolini , P. Hamilton , B. J. West

Wavelets are scaleable, oscillatory functions that deviate from zero only within a limited spatial regime and have average value zero. In addition to their use as source characterizers, wavelet functions are rapidly gaining currency within…

天体物理学 · 物理学 2009-11-07 Peter E. Freeman , Vinay Kashyap , Robert Rosner , Donald Q. Lamb

We propose a simple and efficient time-series clustering framework particularly suited for low Signal-to-Noise Ratio (SNR), by simultaneous smoothing and dimensionality reduction aimed at preserving clustering information. We extend the…

机器学习 · 计算机科学 2015-10-20 Tom Hope , Avishai Wagner , Or Zuk

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

Clustering ensemble has been a popular research topic in data science due to its ability to improve the robustness of the single clustering method. Many clustering ensemble methods have been proposed, most of which can be categorized into…

机器学习 · 计算机科学 2025-08-28 Feijiang Li , Jieting Wang , Liuya zhang , Yuhua Qian , Shuai jin , Tao Yan , Liang Du

This article proposes a Bayesian nonparametric method for forecasting, imputation, and clustering in sparsely observed, multivariate time series data. The method is appropriate for jointly modeling hundreds of time series with widely…

统计方法学 · 统计学 2019-02-27 Feras A. Saad , Vikash K. Mansinghka

In this paper we target the class of modal clustering methods where clusters are defined in terms of the local modes of the probability density function which generates the data. The most well-known modal clustering method is the k-means…

机器学习 · 计算机科学 2022-03-04 Gaël Beck , Tarn Duong , Mustapha Lebbah , Hanane Azzag , Christophe Cérin

Determining the number of clusters present in a dataset is an important problem in cluster analysis. Conventional clustering techniques generally assume this parameter to be provided up front. %user supplied. %Recently, robustness of any…

机器学习 · 计算机科学 2020-09-01 Jayasree Saha , Jayanta Mukherjee

In the field of psychopathology, Ecological Momentary Assessment (EMA) methodological advancements have offered new opportunities to collect time-intensive, repeated and intra-individual measurements. This way, a large amount of data has…

机器学习 · 计算机科学 2022-12-05 Mandani Ntekouli , Gerasimos Spanakis , Lourens Waldorp , Anne Roefs

Developing technology and changing lifestyles have made online grocery delivery applications an indispensable part of urban life. Since the beginning of the COVID-19 pandemic, the demand for such applications has dramatically increased,…

机器学习 · 计算机科学 2022-04-19 Aysun Bozanta , Sean Berry , Mucahit Cevik , Beste Bulut , Deniz Yigit , Fahrettin F. Gonen , Ayşe Başar

This paper introduces a novel asynchronous, event-driven algorithm for real-time detection of small event clusters in event camera data. Like other hierarchical agglomerative clustering algorithms, the algorithm detects the event clusters…

计算机视觉与模式识别 · 计算机科学 2026-02-03 David El-Chai Ben-Ezra , Adar Tal , Daniel Brisk

Synchronization cluster analysis is an approach to the detection of underlying structures in data sets of multivariate time series, starting from a matrix R of bivariate synchronization indices. A previous method utilized the eigenvectors…

数据分析、统计与概率 · 物理学 2007-12-20 Carsten Allefeld , Stephan Bialonski

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

计算机视觉与模式识别 · 计算机科学 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

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 this paper, we present a new method for egocentric video temporal segmentation based on integrating a statistical mean change detector and agglomerative clustering(AC) within an energy-minimization framework. Given the tendency of most…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Estefania Talavera , Mariella Dimiccoli , Marc Bolaños , Maedeh Aghaei , Petia Radeva

We propose a new unsupervised learning method for clustering a large number of time series based on a latent factor structure. Each cluster is characterized by its own cluster-specific factors in addition to some common factors which impact…

统计理论 · 数学 2022-09-09 Bo Zhang , Guangming Pan , Qiwei Yao , Wang Zhou

Clustering algorithms are among the most widely used data mining methods due to their exploratory power and being an initial preprocessing step that paves the way for other techniques. But the problem of calculating the optimal number of…

机器学习 · 计算机科学 2023-10-03 Md Nishat Raihan

In the era of big data, k-means clustering has been widely adopted as a basic processing tool in various contexts. However, its computational cost could be prohibitively high as the data size and the cluster number are large. It is well…

机器学习 · 计算机科学 2017-05-05 Cheng-Hao Deng , Wan-Lei Zhao
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