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Bibliographic Details
Main Authors: Perez, Mathilde, Romero, Raphaël, Kang, Bo, De Bie, Tijl, Lijffijt, Jefrey, Laclau, Charlotte
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2203.07260
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author Perez, Mathilde
Romero, Raphaël
Kang, Bo
De Bie, Tijl
Lijffijt, Jefrey
Laclau, Charlotte
author_facet Perez, Mathilde
Romero, Raphaël
Kang, Bo
De Bie, Tijl
Lijffijt, Jefrey
Laclau, Charlotte
contents Temporal networks allow representing connections between objects while incorporating the temporal dimension. While static network models can capture unchanging topological regularities, they often fail to model the effects associated with the causal generative process of the network that occurs in time. Hence, exploiting the temporal aspect of networks has been the focus of many recent studies. In this context, we propose a new framework for generative models of continuous-time temporal networks. We assume that the activation of the edges in a temporal network is driven by a specified temporal point process. This approach allows to directly model the waiting time between events while incorporating time-varying history-based features as covariates in the predictions. Coupled with a thinning algorithm designed for the simulation of point processes, SimHawNet enables simulation of the evolution of temporal networks in continuous time. Finally, we introduce a comprehensive evaluation framework to assess the performance of such an approach, in which we demonstrate that SimHawNet successfully simulates the evolution of networks with very different generative processes and achieves performance comparable to the state of the art, while being significantly faster.
format Preprint
id arxiv_https___arxiv_org_abs_2203_07260
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle SimHawNet: A Modified Hawkes Process for Temporal Network Simulation
Perez, Mathilde
Romero, Raphaël
Kang, Bo
De Bie, Tijl
Lijffijt, Jefrey
Laclau, Charlotte
Machine Learning
Temporal networks allow representing connections between objects while incorporating the temporal dimension. While static network models can capture unchanging topological regularities, they often fail to model the effects associated with the causal generative process of the network that occurs in time. Hence, exploiting the temporal aspect of networks has been the focus of many recent studies. In this context, we propose a new framework for generative models of continuous-time temporal networks. We assume that the activation of the edges in a temporal network is driven by a specified temporal point process. This approach allows to directly model the waiting time between events while incorporating time-varying history-based features as covariates in the predictions. Coupled with a thinning algorithm designed for the simulation of point processes, SimHawNet enables simulation of the evolution of temporal networks in continuous time. Finally, we introduce a comprehensive evaluation framework to assess the performance of such an approach, in which we demonstrate that SimHawNet successfully simulates the evolution of networks with very different generative processes and achieves performance comparable to the state of the art, while being significantly faster.
title SimHawNet: A Modified Hawkes Process for Temporal Network Simulation
topic Machine Learning
url https://arxiv.org/abs/2203.07260