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Hawkes processes are often applied to model dependence and interaction phenomena in multivariate event data sets, such as neuronal spike trains, social interactions, and financial transactions. In the nonparametric setting, learning the…

Statistics Theory · Mathematics 2023-09-04 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

We propose novel neural temporal models for predicting and synthesizing human motion, achieving state-of-the-art in modeling long-term motion trajectories while being competitive with prior work in short-term prediction and requiring…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Anand Gopalakrishnan , Ankur Mali , Dan Kifer , C. Lee Giles , Alexander G. Ororbia

We consider modeling of angular or directional data viewed as a linear variable wrapped onto a unit circle. In particular, we focus on the spatio-temporal context, motivated by a collection of wave directions obtained as computer model…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

A large fraction of data generated via human activities such as online purchases, health records, spatial mobility etc. can be represented as a sequence of events over a continuous-time. Learning deep learning models over these…

Machine Learning · Computer Science 2022-08-29 Vinayak Gupta , Srikanta Bedathur , Sourangshu Bhattacharya , Abir De

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

Normative modeling has recently been introduced as a promising approach for modeling variation of neuroimaging measures across individuals in order to derive biomarkers of psychiatric disorders. Current implementations rely on Gaussian…

Machine Learning · Statistics 2019-04-16 Seyed Mostafa Kia , Andre F. Marquand

Temporal Point Processes (TPPs), especially Hawkes Process are commonly used for modeling asynchronous event sequences data such as financial transactions and user behaviors in social networks. Due to the strong fitting ability of neural…

Machine Learning · Computer Science 2024-05-14 Anningzhe Gao , Shan Dai

This paper presents an algorithm for the simulation of Hawkes-type processes where the intensity is expressed in terms of a continuous-time autoregressive moving average model. We identify upper bounds for both the univariate and the…

Computation · Statistics 2025-06-10 Lorenzo Mercuri , Andrea Perchiazzo , Edit Rroji

Events in spatiotemporal domains arise in numerous real-world applications, where uncovering event relationships and enabling accurate prediction are central challenges. Classical Poisson and Hawkes processes rely on restrictive parametric…

Machine Learning · Computer Science 2026-03-26 Zhitong Xu , Qiwei Yuan , Yinghao Chen , Yan Sun , Bin Shen , Shandian Zhe

This paper introduces a matrix-variate regression model for analyzing multivariate data observed across spatial locations and over time. The model's design incorporates a mean structure that links covariates to the response matrix and a…

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

Point process data are becoming ubiquitous in modern applications, such as social networks, health care, and finance. Despite the powerful expressiveness of the popular recurrent neural network (RNN) models for point process data, they may…

Machine Learning · Computer Science 2022-11-22 Zheng Dong , Xiuyuan Cheng , Yao Xie

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

Methodology · Statistics 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

We present a novel model designed for resource-efficient multichannel speech enhancement in the time domain, with a focus on low latency, lightweight, and low computational requirements. The proposed model incorporates explicit spatial and…

Sound · Computer Science 2024-01-17 Ashutosh Pandey , Buye Xu

We present the first exact analysis of some of the temporal properties of multivariate self-excited Hawkes conditional Poisson processes, which constitute powerful representations of a large variety of systems with bursty events, for which…

Statistical Mechanics · Physics 2014-08-26 A. Saichev , D. Sornette

The ability to predict future events or patterns based on previous experience is crucial for many applications such as traffic control, weather forecasting, or supply chain management. While modern supervised Machine Learning approaches…

Neurons and Cognition · Quantitative Biology 2024-10-16 Florian Feiler , Emre Neftci , Younes Bouhadjar

Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has become a popular tool for modeling the network of interactions among high-dimensional point process data. While evaluating the uncertainty of the…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

We propose a latent topic model with a Markovian transition for process data, which consist of time-stamped events recorded in a log file. Such data are becoming more widely available in computer-based educational assessment with complex…

Methodology · Statistics 2019-11-06 Haochen Xu , Guanhua Fang , Zhiliang Ying

Real-time decoding of target variables from multiple simultaneously recorded neural time-series modalities, such as discrete spiking activity and continuous field potentials, is important across various neuroscience applications. However, a…

Machine Learning · Computer Science 2025-12-16 Eray Erturk , Maryam M. Shanechi

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari