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An accurate forecast of the red tide respiratory irritation level would improve the lives of many people living in areas affected by algal blooms. Using a decades-long database of daily beach conditions, two conceptually different models to…

Data Analysis, Statistics and Probability · Physics 2021-12-16 Shane D. Ross , Jeremie Fish , Klaus Moeltner , Erik M. Bollt , Landon Bilyeu , Tracy Fanara

Physiological signal analysis often involves identifying events crucial to understanding biological dynamics. Traditional methods rely on handcrafted procedures or supervised learning, presenting challenges such as expert dependence, lack…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Guillaume Staerman , Virginie Loison , Thomas Moreau

Stroke affected millions annually, yet poor symptom recognition often delayed care-seeking. To address risk recognition gap, we developed a passive surveillance system for early stroke risk detection using patient-reported symptoms among…

The multivariate Hawkes process is a past-dependent point process used to model the relationship of event occurrences between different phenomena.Although the Hawkes process was originally introduced to describe excitation effects, which…

Methodology · Statistics 2023-06-30 Anna Bonnet , Miguel Martinez Herrera , Maxime Sangnier

Wildfire frequency is increasing as the climate changes, and the resulting air pollution poses health risks. Just as people routinely use hourly weather forecasts to plan their day's activities around precipitation, reliable hourly air…

Machine Learning · Computer Science 2025-09-03 Renato Berlinghieri , David R. Burt , Paolo Giani , Arlene M. Fiore , Tamara Broderick

Purpose: Identify and examine the associations between health behaviors and increased risk of adolescent suicide attempts, while controlling for socioeconomic and demographic differences. Design: A data-driven analysis using cross-sectional…

Applications · Statistics 2020-09-10 Zhiyuan Wei , Sayanti Mukherjee

The onset of several silent, chronic diseases such as diabetes can be detected only through diagnostic tests. Due to cost considerations, self-reported outcomes are routinely collected in lieu of expensive diagnostic tests in large-scale…

Applications · Statistics 2015-09-15 Xiangdong Gu , Yunsheng Ma , Raji Balasubramanian

An extension of the Hawkes model where the productivity is variable is considered. In particular, the case is considered where each point may have its own productivity and a simple analytic formula is derived for the maximum likelihood…

Applications · Statistics 2020-03-20 Frederic Paik Schoenberg

High levels of air pollution may seriously affect people's living environment and even endanger their lives. In order to reduce air pollution concentrations, and warn the public before the occurrence of hazardous air pollutants, it is…

Machine Learning · Computer Science 2019-06-03 Pei Du , Jianzhou Wang , Yan Hao , Tong Niu , Wendong Yang

Motivated by the recent outbreak of coronavirus (COVID-19), we propose a stochastic model of epidemic temporal growth and mitigation based on a time-modulated Hawkes process. The model is sufficiently rich to incorporate specific…

Populations and Evolution · Quantitative Biology 2021-03-18 Michele Garetto , Emilio Leonardi , Giovanni Luca Torrisi

In epidemiology, identifying the effect of exposure variables in relation to a time-to-event outcome is a classical research area of practical importance. Incorporating propensity score in the Cox regression model, as a measure to control…

Methodology · Statistics 2019-06-11 Yingrui Yang , Molin Wang

We propose an extension to Hawkes processes by treating the levels of self-excitation as a stochastic differential equation. Our new point process allows better approximation in application domains where events and intensities accelerate…

Machine Learning · Computer Science 2016-09-23 Young Lee , Kar Wai Lim , Cheng Soon Ong

According to GHO (Global Health Observatory (GHO), the high prevalence of a large variety of diseases such as Ischaemic heart disease, stroke, lung cancer disease and lower respiratory infections have remained the top killers during the…

Artificial Intelligence · Computer Science 2020-09-17 Mayssa Ben Kahla , Dalel Kanzari , Ahmed Maalel

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

Machine Learning · Computer Science 2021-01-05 Rafael Lima

In many clinical trials studying neurodegenerative diseases such as Parkinson's disease (PD), multiple longitudinal outcomes are collected to fully explore the multidimensional impairment caused by this disease. If the outcomes deteriorate…

Applications · Statistics 2017-05-18 Jue Wang , Sheng Luo , Liang Li

Previous work has shown that popular trending events are important external factors which pose significant influence on user search behavior and also provided a way to computationally model this influence. However, their problem formulation…

Machine Learning · Computer Science 2019-03-05 Shubhra Kanti Karmaker Santu , Liangda Li , Yi Chang , ChengXiang Zhai

Chronic respiratory diseases, such as chronic obstructive pulmonary disease and asthma, are a serious health crisis, affecting a large number of people globally and inflicting major costs on the economy. Current methods for assessing the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-06 Rohan Tan Bhowmik

Transformer Hawkes process models have shown to be successful in modeling event sequence data. However, most of the existing training methods rely on maximizing the likelihood of event sequences, which involves calculating some intractable…

Machine Learning · Computer Science 2023-10-26 Zichong Li , Yanbo Xu , Simiao Zuo , Haoming Jiang , Chao Zhang , Tuo Zhao , Hongyuan Zha

When the sample path of a Hawkes process is observed discretely, such that only the total event counts in disjoint time intervals are known, the likelihood function becomes intractable. To overcome the challenge of likelihood-based…

Methodology · Statistics 2025-06-24 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan

This study introduces an integrated framework for predictive causal inference designed to overcome limitations inherent in conventional single model approaches. Specifically, we combine a Hidden Markov Model (HMM) for spatial health state…

Methodology · Statistics 2025-10-31 Byunghee Lee , Hye Yeon Sin , Joonsung Kang
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