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Imposing some flexible sampling scheme we provide some discretization of continuous time discrete scale invariant (DSI) processes which is a subsidiary discrete time DSI process. Then by introducing some simple random measure we provide a…

Methodology · Statistics 2016-06-22 S. Rezakhah , Y. Maleki

Survival analysis aims to estimate a time-to-event distribution from data with censored observations. Many existing methods either impose structural assumptions on the hazard function or discretize the time axis, which may limit flexibility…

Machine Learning · Computer Science 2026-05-22 Stanislav R. Kirpichenko , Andrei V. Konstantinov , Lev V. Utkin

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

Machine Learning · Computer Science 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

We develop a way of simulating disease spread in networks faster at the cost of some accuracy. Instead of a discrete event simulation (DES) we use a discrete time simulation. This aggregates events into time periods. We prove a bound on the…

Dynamical Systems · Mathematics 2013-04-30 Aaron Lucas , Benjamin Armbruster

Nowadays there is a large availability of discrete event simulation software that can be easily used in different domains: from industry to supply chain, from healthcare to business management, from training to complex systems design.…

Other Computer Science · Computer Science 2010-04-20 Antonio Cimino , Francesco Longo , Giovanni Mirabelli

Many events occur in the world. Some event types are stochastically excited or inhibited---in the sense of having their probabilities elevated or decreased---by patterns in the sequence of previous events. Discovering such patterns can help…

Machine Learning · Computer Science 2017-11-22 Hongyuan Mei , Jason Eisner

Process mining is a well-established discipline of data analysis focused on the discovery of process models from information systems' event logs. Recently, an emerging subarea of process mining, known as stochastic process discovery, has…

Databases · Computer Science 2025-03-07 Anna Kalenkova , Lewis Mitchell , Matthew Roughan

Carbon isotope labeling method is a standard metabolic engineering tool for flux quantification in living cells. To cope with the high dimensionality of isotope labeling systems, diverse algorithms have been developed to reduce the number…

Molecular Networks · Quantitative Biology 2022-02-11 Quentin Thommen , Julien Hurbain , Benjamin Pfeuty

Kernel survival analysis models estimate individual survival distributions with the help of a kernel function, which measures the similarity between any two data points. Such a kernel function can be learned using deep kernel survival…

Machine Learning · Computer Science 2025-02-18 George H. Chen

Continuous-time stochastic processes pervade everyday experience, and the simulation of models of these processes is of great utility. Classical models of systems operating in continuous-time must typically track an unbounded amount of…

Quantum Physics · Physics 2018-03-05 Thomas J. Elliott , Mile Gu

Survival regression aims to predict the time when an event of interest will take place, typically a death or a failure. A fully parametric method [18] is proposed to estimate the survival function as a mixture of individual parametric…

Machine Learning · Computer Science 2024-04-25 Qinxin Wang , Jiayuan Huang , Junhui Li , Jiaming Liu

This paper is composed of two main results concerning chains of infinite order which are not necessarily continuous. The first one is a decomposition of the transition probability kernel as a countable mixture of unbounded probabilistic…

Probability · Mathematics 2010-06-01 Sandro Gallo , Nancy L. Garcia

Learning-based methodologies increasingly find applications in safety-critical domains like autonomous driving and medical robotics. Due to the rare nature of dangerous events, real-world testing is prohibitively expensive and unscalable.…

Machine Learning · Computer Science 2021-08-10 Aman Sinha , Matthew O'Kelly , Russ Tedrake , John Duchi

Machine learning applications for longitudinal electronic health records often forecast the risk of events at fixed time points, whereas survival analysis achieves dynamic risk prediction by estimating time-to-event distributions. Here, we…

Machine Learning · Computer Science 2024-11-26 Munib Mesinovic , Peter Watkinson , Tingting Zhu

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

In biochemical systems some of the chemical species are present with only small numbers of molecules. In this situation discrete and stochastic simulation approaches are more relevant than continuous and deterministic ones. The fundamental…

Computational Engineering, Finance, and Science · Computer Science 2013-03-18 Tae-Hyuk Ahn , Adrian Sandu , Xiaoying Han

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

Organizations that develop software have recognized that software process models are particularly useful for maintaining a high standard of quality. In the last decade, simulations of software processes were used in several settings and…

Software Engineering · Computer Science 2014-02-24 Holger Neu , Thomas Hanne , Jürgen Münch , Stefan Nickel , Andreas Wirsen

This work presents novel discrete event-based simulation algorithms based on the Quantized State System (QSS) numerical methods. QSS provides attractive features for particle transportation processes, in particular a very efficient handling…

Computational Physics · Physics 2021-09-16 Lucio Santi , Lucas Rossi , Rodrigo Castro