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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

Assessing the risk of low-probability high-impact transient instability (TI) events is crucial for ensuring robust and stable power system operation under high uncertainty. However, direct Monte Carlo (DMC) simulation for rare TI event…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

Advancements in high-computing devices increase the necessity for improved and new understanding and development of smart manufacturing factories. Discrete-event models with simulators have been shown to be critical to architect, designing,…

Machine Learning · Computer Science 2024-08-20 Vamsi Krishna Pendyala , Hessam S. Sarjoughian , Bala Potineni , Edward J. Yellig

In this work we deal with a mechanism for process simulation called a NonDeterministic Stochastic Activity Network (NDSAN). An NDSAN consists basically of a set of activities along with precedence relations involving these activities, which…

Discrete Mathematics · Computer Science 2009-03-23 Valmir C. Barbosa , Fernando M. L. Ferreira , Daniel V. Kling , Eduardo Lopes , Fabio Protti , Eber A. Schmitz

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

Evaluation and validation of complicated control systems are crucial to guarantee usability and safety. Usually, failure happens in some very rarely encountered situations, but once triggered, the consequence is disastrous. Accelerated…

Machine Learning · Computer Science 2017-10-03 Zhiyuan Huang , Yaohui Guo , Henry Lam , Ding Zhao

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a…

Risk Management · Quantitative Finance 2025-11-25 Gilles Zumbach

Neural Stochastic Differential Equations (NSDEs) model the drift and diffusion functions of a stochastic process as neural networks. While NSDEs are known to make accurate predictions, their uncertainty quantification properties have been…

Machine Learning · Computer Science 2022-09-13 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters

This paper provides guidance for researchers with some mathematical background on the conduct of time-to-event analysis in observational studies based on intensity (hazard) models. Discussions of basic concepts like time axis, event…

Simulation studies are computer experiments that involve creating data by pseudorandom sampling. The key strength of simulation studies is the ability to understand the behaviour of statistical methods because some 'truth' (usually some…

Methodology · Statistics 2019-01-18 Tim P Morris , Ian R White , Michael J Crowther

Simulating longitudinal data from specified marginal structural models is a crucial but challenging task for evaluating causal inference methods and informing study design. While data generation typically proceeds in a fully conditional…

Methodology · Statistics 2025-04-25 Xi Lin , Daniel de Vassimon Manela , Chase Mathis , Jens Magelund Tarp , Robin J. Evans

We present a novel simulation-free framework for training continuous-time diffusion processes over very general objective functions. Existing methods typically involve either prescribing the optimal diffusion process -- which only works for…

Machine Learning · Computer Science 2025-06-24 Mengjian Hua , Eric Vanden-Eijnden , Ricky T. Q. Chen

We propose a novel calibration method for computer simulators, dealing with the problem of covariate shift. Covariate shift is the situation where input distributions for training and test are different, and ubiquitous in applications of…

Machine Learning · Statistics 2020-03-20 Keiichi Kisamori , Motonobu Kanagawa , Keisuke Yamazaki

Stochastic simulation models are generative models that mimic complex systems to help with decision-making. The reliability of these models heavily depends on well-calibrated input model parameters. However, in many practical scenarios,…

Methodology · Statistics 2024-11-11 Ziwei Su , Diego Klabjan

Process simulation is gaining attention for its ability to assess potential performance improvements and risks associated with business process changes. The existing literature presents various techniques, generally grounded in process…

Artificial Intelligence · Computer Science 2024-06-26 Rafael S. Oyamada , Gabriel M. Tavares , Sylvio Barbon Junior , Paolo Ceravolo

Existing extremum-seeking control (ESC) approaches typically rely on applying repeated perturbations to input parameters and performing measurements of the corresponding performance output. The required separation between the different…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wouter Weekers , Alessandro Saccon , Nathan van de Wouw

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

Hawkes processes are a self-exciting stochastic process used to describe phenomena whereby past events increase the probability of the occurrence of future events. This work presents a flexible approach for modelling a variant of these,…

Methodology · Statistics 2022-08-08 Raiha Browning , Judith Rousseau , Kerrie Mengersen

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

Computation · Statistics 2025-11-19 Alba Bernabeu , Jorge Mateu

The stochastic simulation of large-scale biochemical reaction networks is of great importance for systems biology since it enables the study of inherently stochastic biological mechanisms at the whole cell scale. Stochastic Simulation…

Molecular Networks · Quantitative Biology 2017-10-30 Elias S. Manolakos , Elias Kouskoumvekakis