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Marked temporal point processes (MTPPs) model sequences of events occurring at irregular time intervals, with wide-ranging applications in fields such as healthcare, finance and social networks. We propose the state-space point process…

Machine Learning · Statistics 2025-10-24 Yuxin Chang , Alex Boyd , Cao Xiao , Taha Kass-Hout , Parminder Bhatia , Padhraic Smyth , Andrew Warrington

Recurrent neural networks (RNNs) are widely used in computational neuroscience and machine learning applications. In an RNN, each neuron computes its output as a nonlinear function of its integrated input. While the importance of RNNs,…

Neurons and Cognition · Quantitative Biology 2012-07-10 Sebastian Bitzer , Stefan J. Kiebel

We develop a model for point processes on the real line, where the intensity can be locally unbounded without inducing an explosion. In contrast to an orderly point process, for which the probability of observing more than one event over a…

Econometrics · Economics 2026-01-16 Kim Christensen , Alexei Kolokolov

Recurrent neural networks (RNNs) are capable of learning features and long term dependencies from sequential and time-series data. The RNNs have a stack of non-linear units where at least one connection between units forms a directed cycle.…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Hojjat Salehinejad , Sharan Sankar , Joseph Barfett , Errol Colak , Shahrokh Valaee

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

A core technology that has emerged from the artificial intelligence revolution is the recurrent neural network (RNN). Its unique sequence-based architecture provides a tractable likelihood estimate with stable training paradigms, a…

Disordered Systems and Neural Networks · Physics 2020-07-01 Mohamed Hibat-Allah , Martin Ganahl , Lauren E. Hayward , Roger G. Melko , Juan Carrasquilla

Point processes offer a versatile framework for sequential event modeling. However, the computational challenges and constrained representational power of the existing point process models have impeded their potential for wider…

Machine Learning · Statistics 2025-01-22 Zheng Dong , Zekai Fan , Shixiang Zhu

Self-exciting point processes are widely used to model the contagious effects of crime events living within continuous geographic space, using their occurrence time and locations. However, in urban environments, most events are naturally…

Applications · Statistics 2025-10-01 Zheng Dong , Jorge Mateu , Yao Xie

Recurrent neural network (RNN) is an effective neural network in solving very complex supervised and unsupervised tasks. There has been a significant improvement in RNN field such as natural language processing, speech processing, computer…

Cryptography and Security · Computer Science 2019-01-15 Mohammed Harun Babu R , Vinayakumar R , Soman KP

Point process models have been used to analyze interaction event times on a social network, in the hope to provides valuable insights for social science research. However, the diagnostics and visualization of the modeling results from such…

Applications · Statistics 2020-01-28 Jing Wu , Anna L. Smith , Tian Zheng

The analysis of spatial point patterns that occur in the network domain have recently gained much attraction and various intensity functions and measures have been proposed. However, the linkage of spatial network statistics to regression…

Applications · Statistics 2016-07-25 Matthias Eckardt , Jorge Mateu

Multi-class event streams arise in numerous real-world applications, where uncovering structured, interpretable inter-event relationships, together with accurate prediction, remains a central challenge. Existing neural point process models…

Machine Learning · Computer Science 2026-05-21 Zhitong Xu , Qiwei Yuan , Yinghao Chen , Shandian Zhe , Bin Shen

Next activity prediction represents a fundamental challenge for optimizing business processes in service-oriented architectures such as microservices environments, distributed enterprise systems, and cloud-native platforms, which enables…

Software Engineering · Computer Science 2025-07-04 Jiaxing Wang , Yifeng Yu , Jiahan Song , Bin Cao , Jing Fan , Ji Zhang

Recurrent neural networks (RNNs) are complex dynamical systems, capable of ongoing activity without any driving input. The long-term behavior of free-running RNNs, described by periodic, chaotic and fixed point attractors, is controlled by…

Neurons and Cognition · Quantitative Biology 2021-08-06 Claus Metzner , Patrick Krauss

Recurrent neural networks (RNNs) are instrumental in modelling sequential and time-series data. Yet, when using RNNs to inform decision-making, predictions by themselves are not sufficient; we also need estimates of predictive uncertainty.…

Machine Learning · Computer Science 2020-06-30 Ahmed M. Alaa , Mihaela van der Schaar

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Continuous-time event sequences, in which events occur at irregular intervals, are ubiquitous across a wide range of industrial and scientific domains. The contemporary modeling paradigm is to treat such data as realizations of a temporal…

Machine Learning · Computer Science 2026-04-07 Gavin Kerrigan , Kai Nelson , Padhraic Smyth

Understanding the intricate operations of Recurrent Neural Networks (RNNs) mechanistically is pivotal for advancing their capabilities and applications. In this pursuit, we propose the Episodic Memory Theory (EMT), illustrating that RNNs…

Neural and Evolutionary Computing · Computer Science 2023-10-05 Arjun Karuvally , Peter Delmastro , Hava T. Siegelmann

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

Materials Science · Physics 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf

Temporal point process is widely used for sequential data modeling. In this paper, we focus on the problem of modeling sequential event propagation in graph, such as retweeting by social network users, news transmitting between websites,…

Social and Information Networks · Computer Science 2020-05-06 Weichang Wu , Huanxi Liu , Xiaohu Zhang , Yu Liu , Hongyuan Zha