Simultaneous estimation and group identification for network vector autoregressive model with heterogeneous nodes

X Zhu, G Xu, J Fan - Journal of Econometrics, 2023 - Elsevier
Individuals or companies in a large social or financial network often display rather
heterogeneous behaviors for various reasons. In this work, we propose a network vector …

Spatio-Temporal Hawkes Point Processes: A Review

A Bernabeu, J Zhuang, J Mateu - Journal of Agricultural, Biological and …, 2024 - Springer
Hawkes processes are a particularly interesting class of stochastic point processes that were
introduced in the early seventies by Alan Hawkes, notably to model the occurrence of …

Perturbation-robust predictive modeling of social effects by network subspace generalized linear models

J Wang, CM Le, T Li - arXiv preprint arXiv:2410.01163, 2024 - arxiv.org
Network-linked data, where multivariate observations are interconnected by a network, are
becoming increasingly prevalent in fields such as sociology and biology. These data often …

Two-way Homogeneity Pursuit for Quantile Network Vector Autoregression

W Liu, G Xu, J Fan, X Zhu - arXiv preprint arXiv:2404.18732, 2024 - arxiv.org
While the Vector Autoregression (VAR) model has received extensive attention for modelling
complex time series, quantile VAR analysis remains relatively underexplored for high …

Mamba hawkes process

A Gao, S Dai, Y Hu - arXiv preprint arXiv:2407.05302, 2024 - arxiv.org
Irregular and asynchronous event sequences are prevalent in many domains, such as social
media, finance, and healthcare. Traditional temporal point processes (TPPs), like Hawkes …

Multi-Task Decouple Learning With Hierarchical Attentive Point Process

W Wu, X Zhang, S Zhao, C Fu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Sequential data mining is ubiquitous in various scenarios. Modeling event sequence and
predicting event occurrence is of vital importance in sequential data mining, and Temporal …

Count network autoregression

M Armillotta, K Fokianos - Journal of Time Series Analysis, 2024 - Wiley Online Library
We consider network autoregressive models for count data with a non‐random
neighborhood structure. The main methodological contribution is the development of …

Bayesian Bi-clustering of Neural Spiking Activity with Latent Structures

G Wei - arXiv preprint arXiv:2309.02213, 2023 - arxiv.org
Modern neural recording techniques allow neuroscientists to obtain spiking activity from
many hundreds of neurons simultaneously over long time periods, and new statistical …

Multi-relational Network Autoregression Model with Latent Group Structures

Y Ren, X Zhu, G Xu, Y Ma - arXiv preprint arXiv:2406.03296, 2024 - arxiv.org
Multi-relational networks among entities are frequently observed in the era of big data.
Quantifying the effects of multiple networks have attracted significant research interest …

On Robust Clustering of Temporal Point Process

Y Zhang, G Fang, W Yu - arXiv preprint arXiv:2405.17828, 2024 - arxiv.org
Clustering of event stream data is of great importance in many application scenarios,
including but not limited to, e-commerce, electronic health, online testing, mobile music …