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Using Mixture Models to Characterize the Process Durations of Daily Living

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Abstract

In recent years, process mining (PM) has found widespread
use across the healthcare, education, logistics, and finance domain. Smart
homes employ PM to examine human behavior, health conditions, and
enhance daily living. Existing research uses PM to study human behavior. However, it failed to provide a comprehensive approach that studied/compared the different mixture models (MM) to determine the best
model that closely characterizes human behavior. As a result, this paper
uses the gamma, Weibull and Gaussian MMs to represents the process
durations of daily living to facilitate an accurate representation of human
behavior. The Expectation-Maximization (EM) algorithm was employed
where the Kolmogorov-Smirnov (KS), Kullback-Leibler (KL) divergence,
and Cramer-von Mises (CvM) tests were chosen to determine the best
MM. The proposed approach was applied over the Kasteren, UCI and
4TU dataset.
Original languageEnglish
Title of host publication24th UK Workshop in Computational Intelligence (UKCI 2025)
Publication statusAccepted/In press - 1 Jul 2025
Event24th UK Workshop in Computational Intelligence - Edinburgh, United Kingdom
Duration: 3 Sept 20255 Sept 2025

Conference

Conference24th UK Workshop in Computational Intelligence
Country/TerritoryUnited Kingdom
CityEdinburgh
Period3/09/255/09/25

Funding

This research is supported by the VCRS (Vice-Chancellor’s Research Studentships), funded by Ulster University.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

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