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The role of axonal synaptic delays in the efficacy and performance of artificial neural networks has been largely unexplored. In step-based analog-valued neural network models (ANNs), the concept is almost absent. In their spiking…

Sequences of events including infectious disease outbreaks, social network activities, and crimes are ubiquitous and the data on such events carry essential information about the underlying diffusion processes between communities (e.g.,…

Social and Information Networks · Computer Science 2021-06-08 Maya Okawa , Tomoharu Iwata , Yusuke Tanaka , Hiroyuki Toda , Takeshi Kurashima , Hisashi Kashima

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

Predictive process monitoring (PPM) focuses on predicting future process trajectories, including next activity predictions. This is crucial in dynamic environments where processes change or face uncertainty. However, current frameworks…

Machine Learning · Computer Science 2026-04-03 Marwan Hassani , Tamara Verbeek , Sjoerd van Straten

Student mental health is an increasing concern in academic institutions, where stress can severely impact well-being and academic performance. Traditional assessment methods rely on subjective surveys and periodic evaluations, offering…

Machine Learning · Computer Science 2025-08-05 Md Sultanul Islam Ovi , Jamal Hossain , Md Raihan Alam Rahi , Fatema Akter

Hawkes processes are a popular framework to model the occurrence of sequential events, i.e., occurrence dynamics, in several fields such as social diffusion. In real-world scenarios, the inter-arrival time among events is irregular.…

Machine Learning · Computer Science 2023-05-19 Minju Jo , Seungji Kook , Noseong Park

Epilepsy is a neurological disorder characterized by recurrent seizures affecting more than 70 million people worldwide. Often, an individual with epilepsy is more likely to experience subsequent seizures following an initial seizure, a…

In this paper, we are interested in linear prediction of a particular kind of stochastic process, namely a marked temporal point process. The observations are event times recorded on the real line, with marks attached to each event. We show…

Methodology · Statistics 2022-07-18 Maximilian Aigner , Valérie Chavez-Demoulin

Targeting a better understanding of credit market dynamics, the authors have studied a stochastic model named the Hawkes process. Describing trades arrival times, this kind of model allows for the capture of self-excitement and mutual…

Applications · Statistics 2019-02-12 Achraf Bahamou , Maud Doumergue , Philippe Donnat

Spiking neural networks (SNNs) are biologically inspired, event-driven models suited for temporal data processing and energy-efficient neuromorphic computing. In SNNs, richer neuronal dynamic allows capturing more complex temporal…

Machine Learning · Computer Science 2026-03-27 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

The ability to predict future events or patterns based on previous experience is crucial for many applications such as traffic control, weather forecasting, or supply chain management. While modern supervised Machine Learning approaches…

Neurons and Cognition · Quantitative Biology 2024-10-16 Florian Feiler , Emre Neftci , Younes Bouhadjar

Learning causal structure among event types from discrete-time event sequences is a particularly important but challenging task. Existing methods, such as the multivariate Hawkes processes based methods, mostly boil down to learning the…

Machine Learning · Computer Science 2023-05-11 Jie Qiao , Ruichu Cai , Siyu Wu , Yu Xiang , Keli Zhang , Zhifeng Hao

Multivariate Hawkes Processes (MHPs) are a class of point processes that can account for complex temporal dynamics among event sequences. In this work, we study the accuracy and computational efficiency of three classes of algorithms which,…

Computation · Statistics 2025-02-24 Alex Ziyu Jiang , Abel Rodríguez

Crowdfunding is a powerful tool for individuals or organizations seeking financial support from a vast audience. Despite widespread adoption, managers often lack information about dynamics of their platforms. Hawkes processes have been used…

Applications · Statistics 2024-02-26 Alexandra Djorno , Forrest W. Crawford

Aggressive behavior in autistic inpatient youth often arises in temporally clustered bursts complicating efforts to distinguish external triggers from internal escalation. The sample population branching factor-the expected number of new…

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 this work, we study the event occurrences of individuals interacting in a network. To characterize the dynamic interactions among the individuals, we propose a group network Hawkes process (GNHP) model whose network structure is observed…

Methodology · Statistics 2023-08-31 Guanhua Fang , Ganggang Xu , Haochen Xu , Xuening Zhu , Yongtao Guan

Synaptic delays play a crucial role in biological neuronal networks, where their modulation has been observed in mammalian learning processes. In the realm of neuromorphic computing, although spiking neural networks (SNNs) aim to emulate…

Neural and Evolutionary Computing · Computer Science 2025-06-19 Marissa Dominijanni , Alexander Ororbia , Kenneth W. Regan

Spiking Neural Networks (SNNs) offer biologically inspired, energy-efficient alternatives to traditional Deep Neural Networks (DNNs) for real-time control systems. However, their training presents several challenges, particularly for…

Artificial Intelligence · Computer Science 2025-07-15 Ali Safa , Farida Mohsen , Ali Al-Zawqari

We are interested in the problem of classifying Multivariate Hawkes Processes (MHP) paths coming from several classes. MHP form a versatile family of point processes that models interactions between connected individuals within a network.…

Statistics Theory · Mathematics 2026-03-24 Charlotte Dion-Blanc , Christophe Denis , Laure Sansonnet , Romain Edmond Lacoste