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In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a spotlight to the growing prevalence of stochastic computer…

Motivated by recently emerging problems in machine learning and statistics, we propose data models which relax the familiar i.i.d. assumption. In essence, we seek to understand what it means for data to come from a set of probability…

Statistics Theory · Mathematics 2025-01-08 Christian Fröhlich , Robert C. Williamson

Business process compliance is a key area of business process management and aims at ensuring that processes obey to compliance constraints such as regulatory constraints or business rules imposed on them. Process compliance can be checked…

Software Engineering · Computer Science 2023-04-18 Stefanie Rinderle-Ma , Karolin Winter , Janik-Vasily Benzin

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

This paper addresses the design of safety certificates for stochastic systems, with a focus on ensuring long-term safety through fast real-time control. In stochastic environments, set invariance-based methods that restrict the probability…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Zhuoyuan Wang , Haoming Jing , Christian Kurniawan , Albert Chern , Yorie Nakahira

Learning how to predict future events from patterns of past events is difficult when the set of possible event types is large. Training an unrestricted neural model might overfit to spurious patterns. To exploit domain-specific knowledge of…

Machine Learning · Computer Science 2020-08-18 Hongyuan Mei , Guanghui Qin , Minjie Xu , Jason Eisner

When faced with the task of forecasting a dynamic system, practitioners often have available historical data, knowledge of the system, or a combination of both. While intuition dictates that perfect knowledge of the system should in theory…

Methodology · Statistics 2012-05-18 Luke Bornn , Marian Anghel , Ingo Steinwart

Process analytic approaches play a critical role in supporting the practice of business process management and continuous process improvement by leveraging process-related data to identify performance bottlenecks, extracting insights about…

Artificial Intelligence · Computer Science 2023-01-27 Asjad Khan , Arsal Huda , Aditya Ghose , Hoa Khanh Dam

Recent trends in information management involve the periodic transcription of data onto secondary devices in a networked environment, and the proper scheduling of these transcriptions is critical for efficient data management. To assist in…

Databases · Computer Science 2007-05-23 Avigdor Gal , Jonathan Eckstein

After data selection, pre-processing, transformation, and feature extraction, knowledge extraction is not the final step in a data mining process. It is then necessary to understand this knowledge in order to apply it efficiently and…

Machine Learning · Computer Science 2016-05-23 Dominik Fisch , Christian Gruhl , Edgar Kalkowski , Bernhard Sick , Seppo J. Ovaska

Conformance checking quantifies the deviations between a set of traces in a given process log and a set of possible traces defined by a process model. Current approaches mostly focus on added or missing events. Lately, multi-perspective…

Software Engineering · Computer Science 2020-08-18 Florian Stertz , Juergen Mangler , Stefanie Rinderle-Ma

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

Process discovery algorithms learn process models from executed activity sequences, describing concurrency, causality, and conflict. Concurrent activities require observing multiple permutations, increasing data requirements, especially for…

There exist many methods for sensitivity analysis readily available to the practitioner. While each seeks to help the modeler answer the same general question -- How do sources of uncertainty or changes in the model inputs relate to…

Methodology · Statistics 2025-06-16 Devin Francom , Abigael Nachtsheim

The correct use and interpretation of models depends on several steps, two of which being the calibration by parameter estimation and the analysis of uncertainty. In the biological literature, these steps are seldom discussed together, but…

Quantitative Methods · Quantitative Biology 2015-08-17 André Chalom , Paulo Inácio de Knegt López de Prado

There are two reasons why uncertainty may not be adequately described by Probability Theory. The first one is due to unique or nearly-unique events, that either never realized or occurred too seldom for frequencies to be reliably measured.…

Artificial Intelligence · Computer Science 2023-03-17 Florian Ellsaesser , Guido Fioretti , Gail E. James

In this paper, we describe a representation for spatial information, called the stochastic map, and associated procedures for building it, reading information from it, and revising it incrementally as new information is obtained. The map…

Artificial Intelligence · Computer Science 2013-04-12 Randall Smith , Matthew Self , Peter Cheeseman

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

Automatically recognizing the e-learning activities is an important task for improving the online learning process. Probabilistic graphical models such as hidden Markov models and conditional random fields have been successfully used in…

Artificial Intelligence · Computer Science 2016-08-10 Anis Elbahi , Mohamed Nazih Omri , Mohamed Ali Mahjoub , Kamel Garrouch

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

Artificial Intelligence · Computer Science 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy