2017
DOI: 10.1111/biom.12790
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Modeling Associations Between Latent Event Processes Governing Time Series of Pulsing Hormones

Abstract: This work is motivated by a desire to quantify relationships between two time series of pulsing hormone concentrations. The locations of pulses are not directly observed and may be considered latent event processes. The latent event processes of pulsing hormones are often associated. It is this joint relationship we model. Current approaches to jointly modeling pulsing hormone data generally assume that a pulse in one hormone is coupled with a pulse in another hormone (one-to-one association). However, pulse c… Show more

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Cited by 4 publications
(5 citation statements)
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“…Our decision model is a marked temporal point process (MTPP) (Aalen et al, 2008), which is a natural tool to model discrete events in continuous time. It has been widely applied and become increasingly popular in various domains, including social science (Butts and Marcum, 2017), medical analytics (Liu et al, 2018), finance (Hawkes, 2018), and stochastic optimal control (Tabibian et al, 2019). In our example application of Section 1.1, each follow-up visitation is an event: the visitation time is assumed to be stochastically scheduled according to the probability distribution characterized by the proposed MTPP; and the assigned tacrolimus dosage, when the visitation happens, is treated as the corresponding "mark.…”
Section: Why Use Our Method?mentioning
confidence: 99%
See 1 more Smart Citation
“…Our decision model is a marked temporal point process (MTPP) (Aalen et al, 2008), which is a natural tool to model discrete events in continuous time. It has been widely applied and become increasingly popular in various domains, including social science (Butts and Marcum, 2017), medical analytics (Liu et al, 2018), finance (Hawkes, 2018), and stochastic optimal control (Tabibian et al, 2019). In our example application of Section 1.1, each follow-up visitation is an event: the visitation time is assumed to be stochastically scheduled according to the probability distribution characterized by the proposed MTPP; and the assigned tacrolimus dosage, when the visitation happens, is treated as the corresponding "mark.…”
Section: Why Use Our Method?mentioning
confidence: 99%
“…Modeling event data with marker information is important to learn the latent mechanisms that govern the observed stochastic event patterns over time in many domains, such as social science (Butts and Marcum, 2017) and medical analytics (Liu et al, 2018). Marked temporal point processes (Aalen et al, 2008) are a general framework for modeling such event data.…”
Section: Modeling Clinical Decisionsmentioning
confidence: 99%
“…applied and become increasingly popular in various domains, including social science (Butts and Marcum, 2017), medical analytics (Liu et al, 2018), finance (Hawkes, 2018), and stochastic optimal control (Tabibian et al, 2019). In our example application of section 1.1, each follow-up visitation is an event: the visitation time is assumed to be stochastically scheduled according to the probability distribution characterized by the proposed MTPP; and the assigned tacrolimus dosage, when the visitation happens, is treated as the corresponding "mark.…”
Section: Why Use Our Method?mentioning
confidence: 99%
“…Modeling event data with marker information is important to learn the latent mechanisms that govern the observed stochastic event patterns over time in many domains, such as social science (Butts and Marcum, 2017) and medical analytics (Liu et al, 2018). Marked temporal point processes (Aalen et al, 2008) are a general framework for modeling such event data.…”
Section: Modeling Clinical Decisionsmentioning
confidence: 99%
“…The issue of the statistical estimation of signal features becomes even harder when one considers several linked data series, such as joint measurement of LH and FSH levels [50]. To decipher the inherent multi-hormone interactions gonadotropins are part of, Veldhuis et al have combined peak detection algorithms, deconvolution-based methods and biomathematical modeling to reconstruct unobserved signals in a framework called ensemble models [51].…”
Section: 2) Computational Approaches Of the Gnrh And Lh Pulse Generatormentioning
confidence: 99%