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Mobile apps and wearable devices accurately and continuously measure human activity; patterns within this data can provide a wealth of information applicable to fields such as transportation and health. Despite the potential utility of this…

Methodology · Statistics 2024-09-16 Martha Barnard , Yingling Fan , Julian Wolfson

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…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

Genetic data are frequently categorical and have complex dependence structures that are not always well understood. For this reason, clustering and classification based on genetic data, while highly relevant, are challenging statistical…

Methodology · Statistics 2016-06-13 Gabriela Bettella Cybis , Marcio Valk , Silvia Regina Costa Lopes

Clustering analysis identifies samples as groups based on either their mutual closeness or homogeneity. In order to detect clusters in arbitrary shapes, a novel and generic solution based on boundary erosion is proposed. The clusters are…

Computer Vision and Pattern Recognition · Computer Science 2018-04-16 Cheng-Hao Deng , Wan-Lei Zhao

The coupled cluster iteration scheme for determining the cluster amplitudes involves a set of nonlinearly coupled difference equations. In the space spanned by the amplitudes, the set of equations are analysed as a multivariate…

We present a methodology for clustering N objects which are described by multivariate time series, i.e. several sequences of real-valued random variables. This clustering methodology leverages copulas which are distributions encoding the…

Machine Learning · Statistics 2016-11-15 Gautier Marti , Sébastien Andler , Frank Nielsen , Philippe Donnat

Human behavior modeling deals with learning and understanding behavior patterns inherent in humans' daily routines. Existing pattern mining techniques either assume human dynamics is strictly periodic, or require the number of modes as…

Machine Learning · Computer Science 2021-10-26 Rohan Kabra , Divya Saxena , Dhaval Patel , Jiannong Cao

The clustering of categories in a multivariate categorical data set is investigated, where the problem separates into that of merging categories of the same variables (i.e., within-variable categories), and combining categories of different…

Methodology · Statistics 2025-09-22 Michael Greenacre , Maurizio Vichi

Time series data, spanning applications ranging from climatology to finance to healthcare, presents significant challenges in data mining due to its size and complexity. One open issue lies in time series clustering, which is crucial for…

Machine Learning · Computer Science 2023-07-07 Jorge Marco-Blanco , Rubén Cuevas

Clustering time series into similar groups can improve models by combining information across like time series. While there is a well developed body of literature for clustering of time series, these approaches tend to generate clusters…

Methodology · Statistics 2022-01-19 Benny Ren , Ian Barnett

Here, we propose a clustering technique for general clustering problems including those that have non-convex clusters. For a given desired number of clusters $K$, we use three stages to find a clustering. The first stage uses a hybrid…

Machine Learning · Statistics 2015-03-09 Saeid Amiri , Bertrand Clarke , Jennifer Clarke , Hoyt A. Koepke

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…

Methodology · Statistics 2013-02-15 Anestis Antoniadis , Xavier Brossat , Jairo Cugliari , Jean-Michel Poggi

Energy being the very key concern area with sensor networks, so the main focus lies in developing a mechanism to increase the lifetime of a sensor network by energy balancing. To achieve energy balancing and maximizing network lifetime we…

Networking and Internet Architecture · Computer Science 2013-06-07 Deepali Virmani , Akshay Jain , Ankit Khandelwal , Divik Gupta , Nitin Garg

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…

The proposed distributed dynamic clustering algorithm enables to group agents based on their pre-selected feature states. The clusters are determined by comparing the distance of the agents' current feature states with average estimates of…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Runfan Zhang , Branislav Hredzak

This paper presents algorithms for hierarchical, agglomerative clustering which perform most efficiently in the general-purpose setup that is given in modern standard software. Requirements are: (1) the input data is given by pairwise…

Machine Learning · Statistics 2011-09-13 Daniel Müllner

In high-dimension, low-sample size (HDLSS) data, it is not always true that closeness of two objects reflects a hidden cluster structure. We point out the important fact that it is not the closeness, but the "values" of distance that…

Machine Learning · Statistics 2013-12-30 Yoshikazu Terada

Given a set of variables and the correlations among them, we develop a method for finding clustering among the variables. The method takes advantage of information implicit in higher-order (not just pairwise) correlations. The idea is to…

Statistical Mechanics · Physics 2015-05-13 L. S. Schulman

In this paper, we propose a new time-aware dissimilarity measure that takes into account the temporal dimension. Observations that are close in the description space, but distant in time are considered as dissimilar. We also propose a…

Machine Learning · Computer Science 2016-01-13 Marian-Andrei Rizoiu , Julien Velcin , Stéphane Lallich

We develop new econometric methods for the comparison of nonparametric time trends. In many applications, practitioners are interested in whether the observed time series all have the same time trend. Moreover, they would often like to know…

Econometrics · Economics 2022-09-23 Marina Khismatullina , Michael Vogt
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