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Related papers: Self-Attentive Hawkes Processes

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The prevalence of location-based social networks (LBSNs) has eased the understanding of human mobility patterns. Knowledge of human dynamics can aid in various ways like urban planning, managing traffic congestion, personalized…

Social and Information Networks · Computer Science 2020-09-09 Manisha Dubey , P. K. Srijith , Maunendra Sankar Desarkar

An extension of the Hawkes process, the Marked Hawkes process distinguishes itself by featuring variable jump size across each event, in contrast to the constant jump size observed in a Hawkes process without marks. While extensive…

Machine Learning · Statistics 2024-02-08 Sobin Joseph , Shashi Jain

Hawkes process is a class of simple point processes that is self-exciting and has clustering effect. The intensity of this point process depends on its entire past history. It has wide applications in finance, insurance, neuroscience,…

Probability · Mathematics 2018-03-28 Xuefeng Gao , Lingjiong Zhu

Hawkes process is a class of simple point processes with self-exciting and clustering properties. Hawkes process has been widely applied in finance, neuroscience, social networks, criminology, seismology, and many other fields. In this…

Probability · Mathematics 2020-11-23 Fuqing Gao , Lingjiong Zhu

Attributed event sequences are commonly encountered in practice. A recent research line focuses on incorporating neural networks with the statistical model -- marked point processes, which is the conventional tool for dealing with…

Machine Learning · Computer Science 2021-07-08 Tianbo Li , Tianze Luo , Yiping Ke , Sinno Jialin Pan

Temporal networks observed continuously over time through timestamped relational events data are commonly encountered in application settings including online social media communications, financial transactions, and international relations.…

Machine Learning · Statistics 2025-05-29 Lingfei Zhao , Hadeel Soliman , Kevin S. Xu , Subhadeep Paul

Identifying key influencers from time series data without a known prior network structure is a challenging problem in various applications, from crime analysis to social media. While much work has focused on event-based time series…

Dynamical Systems · Mathematics 2025-04-30 Naratip Santitissadeekorn , Martin Short , David J. B. Lloyd

Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

The ability to model and predict the popularity dynamics of individual user generated items on online media has important implications in a wide range of areas. In this paper, we propose a probabilistic model using a Self-Excited Hawkes…

Social and Information Networks · Computer Science 2015-03-11 Peng Bao , Hua-Wei Shen , Xiaolong Jin , Xue-Qi Cheng

Temporal graph representation learning has drawn significant attention for the prevalence of temporal graphs in the real world. However, most existing works resort to taking discrete snapshots of the temporal graph, or are not inductive to…

Social and Information Networks · Computer Science 2022-03-29 Zhihao Wen , Yuan Fang

Neural processes (NPs) learn stochastic processes and predict the distribution of target output adaptively conditioned on a context set of observed input-output pairs. Furthermore, Attentive Neural Process (ANP) improved the prediction…

Machine Learning · Computer Science 2019-10-22 Shenghao Qin , Jiacheng Zhu , Jimmy Qin , Wenshuo Wang , Ding Zhao

Event occurrence is not only subject to the environmental changes, but is also facilitated by the events that have occurred in a system. Here, we develop a method for estimating such extrinsic and intrinsic factors from a single series of…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Shinsuke Koyama , Shigeru Shinomoto

Self- and mutually-exciting point processes are popular models in machine learning and statistics for dependent discrete event data. To date, most existing models assume stationary kernels (including the classical Hawkes processes) and…

Machine Learning · Computer Science 2022-02-15 Shixiang Zhu , Haoyun Wang , Zheng Dong , Xiuyuan Cheng , Yao Xie

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

Event prediction tasks often handle spatio-temporal data distributed in a large spatial area. Different regions in the area exhibit different characteristics while having latent correlations. This spatial heterogeneity and correlations…

Machine Learning · Computer Science 2025-01-22 Wang-Tao Zhou , Zhao Kang , Sicong Liu , Lizong Zhang , Ling Tian

Classic estimation methods for Hawkes processes rely on the assumption that observed event times are indeed a realisation of a Hawkes process, without considering any potential perturbation of the model. However, in practice, observations…

Methodology · Statistics 2025-08-21 Anna Bonnet , Felix Cheysson , Miguel Martinez Herrera , Maxime Sangnier

We introduce a model-independent approximation for the branching ratio of Hawkes self-exciting point processes. Our estimator requires knowing only the mean and variance of the event count in a sufficiently large time window, statistics…

Statistical Finance · Quantitative Finance 2014-12-17 Stephen J. Hardiman , Jean-Philippe Bouchaud

We study a multivariate Hawkes process as a model for time-continuous relational event networks. The model does not assume the network to be known, it includes covariates, and it allows for both common drivers, parameters common to all the…

Statistics Theory · Mathematics 2025-04-08 Alexander Kreiss , Enno Mammen , Wolfgang Polonik

The increasing accessibility and precision of Earth observation satellite data offers considerable opportunities for industrial and state actors alike. This calls however for efficient methods able to process time-series on a global scale.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 Vivien Sainte Fare Garnot , Loic Landrieu

The Hawkes process is a simple point process with wide applications in finance, social networks, criminology, seismology, and many other fields. The Hawkes process is defined for continuous-time setting. However, data is also recorded in a…

Probability · Mathematics 2021-06-23 Haixu Wang