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Mixtures of heterogeneous Poisson processes for the assessment of e-social activity in mental health

Authors: Bonilla Escribano, Pablo; Ramírez García, David; Artés Rodríguez, Antonio;

Mixtures of heterogeneous Poisson processes for the assessment of e-social activity in mental health

Abstract

This work introduces a novel method to assess the social activity maintained by psychiatric patients using information and communication technologies. In particular, we jointly model using point processes the e-social activity patterns from two heterogeneous sources: the usage of phone calls and social and communication apps. We propose a nonhomogeneous Poisson mixture model with periodic (circadian) intensity function using a truncated Fourier series expansion, which is inferred using a trust-region algorithm, and it is able to cope with the different daily patterns of a person. The analysis of the usage of phone calls and social and communication apps of a cohort of 164 patients reveals that 25 patterns suffice to characterize their daily behavior.

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Keywords

Telecomunicaciones, Medicina, Poisson processes, Electrónica, E-social activity, Mental health patients

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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