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Multivariate Hawkes process provides a powerful framework for modeling temporal dependencies and event-driven interactions in complex systems. While existing methods primarily focus on uncovering causal structures among observed…

Machine Learning · Computer Science 2026-03-03 Songyao Jin , Biwei Huang

The Hawkes process is a class of point processes whose future depends on their own history. Previous theoretical work on the Hawkes process is limited to a special case in which a past event can only increase the occurrence of future…

Methodology · Statistics 2019-06-21 Shizhe Chen , Ali Shojaie , Eric Shea-Brown , Daniela Witten

We present a novel methodology to build powerful predictive process models. Our method, denoted ProcK (Process & Knowledge), relies not only on sequential input data in the form of event logs, but can learn to use a knowledge graph to…

Machine Learning · Computer Science 2022-08-04 Tobias Jacobs , Jingyi Yu , Julia Gastinger , Timo Sztyler

Multivariate point processes are widely applied to model event-type data such as natural disasters, online message exchanges, financial transactions or neuronal spike trains. One very popular point process model in which the probability of…

Statistics Theory · Mathematics 2023-01-27 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

Statistics Theory · Mathematics 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

The availability of large scale event data with time stamps has given rise to dynamically evolving knowledge graphs that contain temporal information for each edge. Reasoning over time in such dynamic knowledge graphs is not yet well…

Artificial Intelligence · Computer Science 2017-06-22 Rakshit Trivedi , Hanjun Dai , Yichen Wang , Le Song

We propose a novel modeling framework for time-evolving networks allowing for long-term dependence in network features that update in continuous time. Dynamic network growth is functionally parameterized via the conditional intensity of a…

Methodology · Statistics 2026-03-20 Duncan A Clark , Conor J. Kresin , Charlotte M. Jones-Todd

Cascading chains of events are a salient feature of many real-world social, biological, and financial networks. In social networks, social reciprocity accounts for retaliations in gang interactions, proxy wars in nation-state conflicts, or…

Machine Learning · Statistics 2016-07-05 Eric C. Hall , Rebecca M. Willett

We propose a Multivariate Spatio-Temporal Neural Hawkes Process for modeling complex multivariate event data with spatio-temporal dynamics. The proposed model extends continuous-time neural Hawkes processes by integrating spatial…

Machine Learning · Statistics 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

We propose a novel probabilistic framework to model continuous-time interaction events data. Our goal is to infer the \emph{implicit} community structure underlying the temporal interactions among entities, and also to exploit how the…

Social and Information Networks · Computer Science 2020-06-24 Sikun Yang , Heinz Koeppl

Multivariate Hawkes processes are past-dependant point processes originally introduced to model excitation effects, later extended to a nonlinear framework to account for the opposite effect, known as inhibition. Motivated by applications…

Methodology · Statistics 2026-05-12 Sacha Quayle , Anna Bonnet , Maxime Sangnier

Learning the influence structure of multiple time series data is of great interest to many disciplines. This paper studies the problem of recovering the causal structure in network of multivariate linear Hawkes processes. In such processes,…

Machine Learning · Computer Science 2016-03-15 Jalal Etesami , Negar Kiyavash , Kun Zhang , Kushagra Singhal

This paper introduces the Neural Network for Nonlinear Hawkes processes (NNNH), a non-parametric method based on neural networks to fit nonlinear Hawkes processes. Our method is suitable for analyzing large datasets in which events exhibit…

Machine Learning · Statistics 2023-03-07 Sobin Joseph , Shashi Jain

Temporal point process serves as an essential tool for modeling time-to-event data in continuous time space. Despite having massive amounts of event sequence data from various domains like social media, healthcare etc., real world…

Machine Learning · Computer Science 2022-10-04 Manisha Dubey , P. K. Srijith , Maunendra Sankar Desarkar

Neural Temporal Point Processes (TPPs) have emerged as the primary framework for predicting sequences of events that occur at irregular time intervals, but their sequential nature can hamper performance for long-horizon forecasts. To…

Machine Learning · Computer Science 2024-07-23 Mai Zeng , Florence Regol , Mark Coates

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

In recent years, temporal knowledge graph (TKG) reasoning has received significant attention. Most existing methods assume that all timestamps and corresponding graphs are available during training, which makes it difficult to predict…

Artificial Intelligence · Computer Science 2024-02-22 Yongquan He , Peng Zhang , Luchen Liu , Qi Liang , Wenyuan Zhang , Chuang Zhang

The rapid growth of social media has been witnessed during recent years as a result of the prevalence of the internet. This trend brings an increasing interest in simulating social media which can provide valuable insights to both academic…

Social and Information Networks · Computer Science 2021-08-11 Ao Qu , Ismael Lemhadri

Hawkes processes are a class of self-exciting point processes that are used to model complex phenomena. While most applications of Hawkes processes assume that event data occurs in continuous-time, the less-studied discrete-time version of…

Applications · Statistics 2023-06-01 Trinnhallen Brisley , Gordon Ross , Daniel Paulin , Jake Easto

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