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Hawkes processes are a particularly interesting class of stochastic process that have been applied in diverse areas, from earthquake modelling to financial analysis. They are point processes whose defining characteristic is that they…

Probability · Mathematics 2015-07-13 Patrick J. Laub , Thomas Taimre , Philip K. Pollett

Many events occur in the world. Some event types are stochastically excited or inhibited---in the sense of having their probabilities elevated or decreased---by patterns in the sequence of previous events. Discovering such patterns can help…

Machine Learning · Computer Science 2017-11-22 Hongyuan Mei , Jason Eisner

The election narrative is formed under the competitions of ideas among critical players involving politicians, news media, public influentials, and the general public. Untangling the complex process of narrative formation, however, is no…

Computers and Society · Computer Science 2015-12-11 Pau Perng-Hwa Kung , Deb Roy

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

Monitoring news content automatically is an important problem. The news content, unlike traditional text, has a temporal component. However, few works have explored the combination of natural language processing and dynamic system models.…

Computation and Language · Computer Science 2022-02-15 Honggen Zhang , June Zhang

Asynchronous events on the continuous time domain, e.g., social media actions and stock transactions, occur frequently in the world. The ability to recognize occurrence patterns of event sequences is crucial to predict which typeof events…

Machine Learning · Computer Science 2020-02-17 Qiang Zhang , Aldo Lipani , Omer Kirnap , Emine Yilmaz

Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has become a popular tool for modeling the network of interactions among high-dimensional point process data. While evaluating the uncertainty of the…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

Hawkes Processes capture self-excitation and mutual-excitation between events when the arrival of an event makes future events more likely to happen. Identification of such temporal covariance can reveal the underlying structure to better…

Machine Learning · Computer Science 2020-06-03 Rafael Lima , Jaesik Choi

Information popularity prediction is important yet challenging in various domains, including viral marketing and news recommendations. The key to accurately predicting information popularity lies in subtly modeling the underlying temporal…

Artificial Intelligence · Computer Science 2024-09-26 Xin Jing , Yichen Jing , Yuhuan Lu , Bangchao Deng , Sikun Yang , Dingqi Yang

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

Event data consisting of time of occurrence of the events arises in several real-world applications. Recent works have introduced neural network based point processes for modeling event-times, and were shown to provide state-of-the-art…

Machine Learning · Computer Science 2022-01-20 Manisha Dubey , Ragja Palakkadavath , P. K. Srijith

Given a collection of entities (or nodes) in a network and our intermittent observations of activities from each entity, an important problem is to learn the hidden edges depicting directional relationships among these entities. Here, we…

Machine Learning · Statistics 2017-08-01 Triet M Le

Temporal networks are characterised by interdependent link events between nodes, forming ordered sequences of links that may represent specific information flows in the system. Nevertheless, representing temporal networks using discrete…

Social and Information Networks · Computer Science 2025-01-30 Yuwei Zhu , Paolo Barucca

It is widely understood that diffusion of and simultaneous interactions between narratives -- defined here as persistent point-of-view messaging -- significantly contributes to the shaping of political discourse and public opinion. In this…

Social and Information Networks · Computer Science 2021-11-23 Akshay Aravamudan , Xi Zhang , Jihye Song , Stephen M. Fiore , Georgios C. Anagnostopoulos

Hawkes processes are a self-exciting stochastic process used to describe phenomena whereby past events increase the probability of the occurrence of future events. This work presents a flexible approach for modelling a variant of these,…

Methodology · Statistics 2022-08-08 Raiha Browning , Judith Rousseau , Kerrie Mengersen

A point process for event arrivals in high frequency trading is presented. The intensity is the product of a Hawkes process and high dimensional functions of covariates derived from the order book. Conditions for stationarity of the process…

Trading and Market Microstructure · Quantitative Finance 2026-05-12 Luca Mucciante , Alessio Sancetta

Spreading processes play an increasingly important role in modeling for diffusion networks, information propagation, marketing and opinion setting. We address the problem of learning of a spreading model such that the predictions generated…

Social and Information Networks · Computer Science 2021-07-27 Mateusz Wilinski , Andrey Y. Lokhov

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

In this paper we propose an overview of the recent academic literature devoted to the applications of Hawkes processes in finance. Hawkes processes constitute a particular class of multivariate point processes that has become very popular…

Trading and Market Microstructure · Quantitative Finance 2015-05-19 Emmanuel Bacry , Iacopo Mastromatteo , Jean-François Muzy