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Human behavior drives a range of complex social, urban, and economic systems, yet understanding its structure and dynamics at the individual level remains an open question. From credit card transactions to communications data, human…

Social and Information Networks · Computer Science 2020-05-15 Sharon Xu , Steven Morse , Marta C. González

The neural Hawkes process (Mei & Eisner, 2017) is a generative model of irregularly spaced sequences of discrete events. To handle complex domains with many event types, Mei et al. (2020a) further consider a setting in which each event in…

Machine Learning · Computer Science 2022-05-09 Chenghao Yang , Hongyuan Mei , Jason Eisner

Hawkes processes have recently risen to the forefront of tools when it comes to modeling and generating sequential events data. Multidimensional Hawkes processes model both the self and cross-excitation between different types of events and…

Machine Learning · Computer Science 2022-12-13 Renbo Zhao , Niccolò Dalmasso , Mohsen Ghassemi , Vamsi K. Potluru , Tucker Balch , Manuela Veloso

Many stochastic systems have arrival processes that exhibit clustering behavior. In these systems, arriving entities influence additional arrivals to occur through self-excitation of the arrival process. In this paper, we analyze an…

Probability · Mathematics 2018-05-10 Andrew Daw , Jamol Pender

Temporal correlations in the time series observed in various systems have been characterized by the autocorrelation function. Such correlations can be explained by heavy-tailed interevent time distributions as well as by correlations…

Computational Physics · Physics 2025-06-17 Min-ho Yu , Hang-Hyun Jo

We present a Hawkes model approach to foreign exchange market in which the high frequency price dynamics is affected by a self exciting mechanism and an exogenous component, generated by the pre-announced arrival of macroeconomic news. By…

Trading and Market Microstructure · Quantitative Finance 2015-06-19 Marcello Rambaldi , Paris Pennesi , Fabrizio Lillo

Temporal correlations of time series or event sequences in natural and social phenomena have been characterized by power-law decaying autocorrelation functions with decaying exponent $\gamma$. Such temporal correlations can be understood in…

Data Analysis, Statistics and Probability · Physics 2017-12-19 Hang-Hyun Jo

A Hawkes process model with a time-varying background rate is developed for analyzing the high-frequency financial data. In our model, the logarithm of the background rate is modeled by a linear model with a relatively large number of…

Statistical Finance · Quantitative Finance 2017-07-24 Takahiro Omi , Yoshito Hirata , Kazuyuki Aihara

Predicting popularity, or the total volume of information outbreaks, is an important subproblem for understanding collective behavior in networks. Each of the two main types of recent approaches to the problem, feature-driven and generative…

Social and Information Networks · Computer Science 2016-08-31 Swapnil Mishra , Marian-Andrei Rizoiu , Lexing Xie

We present the Bayesian Echo Chamber, a new Bayesian generative model for social interaction data. By modeling the evolution of people's language usage over time, this model discovers latent influence relationships between them. Unlike…

Machine Learning · Statistics 2015-01-28 Fangjian Guo , Charles Blundell , Hanna Wallach , Katherine Heller

The monitoring of conflict risk in the humanitarian sector is largely based on simple historic averages. The overarching goal of this work is to assess the potential for using a more statistically rigorous approach to monitor the risk of…

Applications · Statistics 2026-02-04 Raiha Browning , Hamish Patten , Judith Rousseau , Kerrie Mengersen

Dialogue systems have received increasing attention while automatically evaluating their performance remains challenging. User satisfaction estimation (USE) has been proposed as an alternative. It assumes that the performance of a dialogue…

Computation and Language · Computer Science 2023-05-23 Fanghua Ye , Zhiyuan Hu , Emine Yilmaz

Interval-censored data solely records the aggregated counts of events during specific time intervals - such as the number of patients admitted to the hospital or the volume of vehicles passing traffic loop detectors - and not the exact…

Machine Learning · Computer Science 2022-11-29 Marian-Andrei Rizoiu , Alexander Soen , Shidi Li , Pio Calderon , Leanne Dong , Aditya Krishna Menon , Lexing Xie

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 introduce the Hyperedge-triggered Hawkes (HTH) process for inferring higher-order interaction structure in multi-cellular systems from asynchronous event-time data. Beyond standard pairwise excitation, the HTH intensity includes a term…

Methodology · Statistics 2026-05-27 Zihan Xu

This article presents a Hawkes process model with Markovian baseline intensities for high-frequency order book data modeling. We classify intraday order book trading events into a range of categories based on their order types and the price…

Trading and Market Microstructure · Quantitative Finance 2022-01-07 Philip Protter , Qianfan Wu , Shihao Yang

Temporal sequences of discrete events that describe natural and social processes are often driven by non-Poisson dynamics. In addition to a heavy-tailed interevent time distribution, which primarily captures the deviation from a Poisson…

Physics and Society · Physics 2025-12-08 Takayuki Hiraoka , Hang-Hyun Jo

Hate speech is ubiquitous on the Web. Recently, the offline causes that contribute to online hate speech have received increasing attention. A recurring question is whether the occurrence of extreme events offline systematically triggers…

Applications · Statistics 2020-10-01 Erik Scharwächter , Emmanuel Müller

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

Many networks have event-driven dynamics (such as communication, social media and criminal networks), where the mean rate of the events occurring at a node in the network changes according to the occurrence of other events in the network.…

Social and Information Networks · Computer Science 2023-03-22 Santitissadeekorn N. , Delahaies S. , Lloyd D. J. B