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In many applications it will be useful to know those patterns that occur with a balanced interval, e.g., a certain combination of phone numbers are called almost every Friday or a group of products are sold a lot on Tuesday and Thursday. In…

Artificial Intelligence · Computer Science 2007-05-23 Edgar de Graaf Joost Kok Walter Kosters

Process analytics is an umbrella of data-driven techniques which includes making predictions for individual process instances or overall process models. At the instance level, various novel techniques have been recently devised, tackling…

Machine Learning · Computer Science 2021-07-29 Johannes De Smedt , Anton Yeshchenko , Artem Polyvyanyy , Jochen De Weerdt , Jan Mendling

Citizen science biodiversity data present great opportunities for ecology and conservation across vast spatial and temporal scales. However, the opportunistic nature of these data lacks the sampling structure required by modeling…

Machine Learning · Computer Science 2025-04-15 Nahian Ahmed , Mark Roth , Tyler A. Hallman , W. Douglas Robinson , Rebecca A. Hutchinson

Over the last few decades, various methods have been proposed for estimating prediction intervals in regression settings, including Bayesian methods, ensemble methods, direct interval estimation methods and conformal prediction methods. An…

Machine Learning · Statistics 2024-04-02 Nicolas Dewolf , Bernard De Baets , Willem Waegeman

Recent advances in data collection and storage have allowed both researchers and industry alike to collect data in real time. Much of this data comes in the form of 'events', or timestamped interactions, such as email and social media…

Social and Information Networks · Computer Science 2019-08-29 Andrew Mellor

This note considers the problem of statistical inference of the parameters of the input process to a queue from periodic workload observations. The main focus is the open problem of constructing statistically efficient estimators for a…

Performance · Computer Science 2022-02-23 Liron Ravner

Current statistics can be calculated in various ways. Event-based approaches use the statistics of the number of events occuring during a given time. Time-based approaches use the statistics of the time needed to reach a given number of…

Statistical Mechanics · Physics 2015-05-14 Massimiliano Esposito , Katja Lindenberg , Igor M. Sokolov

Numerical models indicate that collective animal behaviour may emerge from simple local rules of interaction among the individuals. However, very little is known about the nature of such interaction, so that models and theories mostly rely…

Populations and Evolution · Quantitative Biology 2009-11-13 M. Ballerini , N. Cabibbo , R. Candelier , A. Cavagna , E. Cisbani , I. Giardina , V. Lecomte , A. Orlandi , G. Parisi , A. Procaccini , M. Viale , V. Zdravkovic

We propose an analytical solution to the on-off problem within the framework of Bayesian statistics. Both the statistical significance for the discovery of new phenomena and credible intervals on model parameters are presented in a…

Instrumentation and Methods for Astrophysics · Physics 2016-04-20 Dalibor Nosek , Jana Nosková

Mass concentrations of birds, or lack of such, is a phenomenon of great ecological and domestic significance. Apart from being and indicator for e.g. food availability, ecological change and population size, it is also a source of conflict…

Quantitative Methods · Quantitative Biology 2021-04-27 Tomas Svensson

We describe the development of a system for an automated, iterative, real-time classification of transient events discovered in synoptic sky surveys. The system under development incorporates a number of Machine Learning techniques, mostly…

Instrumentation and Methods for Astrophysics · Physics 2011-10-24 S. G. Djorgovski , C. Donalek , A. Mahabal , B. Moghaddam , M. Turmon , M. Graham , A. Drake , N. Sharma , Y. Chen

Identifying a temporal pattern of events is a fundamental task of on-line (real-time) verification. We present efficient schemes for on-line monitoring of events for identifying desired/undesired patterns of events. The schemes use…

Data Structures and Algorithms · Computer Science 2015-05-28 Shlomi Dolev , Jonathan Goldfeld , Rami Puzis

We consider a sequence of independent random variables with the known distribution observed sequentially. The observation $n$ is assumed to be a value of one order statistics such as s:n-th, where 1 is less than s is less than n. It the…

Optimization and Control · Mathematics 2020-11-17 Zdzisław Porosiński , Marek Skarupski , Krzysztof Szajowski

Encouraged by decision makers' appetite for future information on topics ranging from elections to pandemics, and enabled by the explosion of data and computational methods, model based forecasts have garnered increasing influence on a…

Applications · Statistics 2022-07-22 Carl Boettiger

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

Forecasting the future course of epidemics has always been one of the main goals of epidemic modelling. This chapter reviews statistical methods to quantify the accuracy of epidemic forecasts. We distinguish point and probabilistic…

Methodology · Statistics 2019-12-19 Leonhard Held , Sebastian Meyer

A characteristic of existing predictive process monitoring techniques is to first construct a predictive model based on past process executions, and then use it to predict the future of new ongoing cases, without the possibility of updating…

Artificial Intelligence · Computer Science 2023-10-26 Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi , Williams Rizzi , Cosimo Damiano Persia

Several coupled maps models are sketched and reviewed in this short communication. First, a discrete logistic type model that was proposed for the symbiotic interaction of two species. Second, a model of many of these symbiotic species…

Adaptation and Self-Organizing Systems · Physics 2019-08-22 Ricardo Lopez-Ruiz

One way to warn of forthcoming critical transitions in Earth system components is using observations to detect declining system stability. It has also been suggested to extrapolate such stability changes into the future and predict tipping…

Geophysics · Physics 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

The notion of drift refers to the phenomenon that the distribution, which is underlying the observed data, changes over time. Albeit many attempts were made to deal with drift, formal notions of drift are application-dependent and…

Machine Learning · Computer Science 2019-12-05 Fabian Hinder , André Artelt , Barbara Hammer