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It is necessary to estimate the expected energy usage of a building to determine how to reduce energy usage. The expected energy usage of a building can be reliably simulated using a Building Energy Model (BEM). Many of the numerous input…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Arpan Mukherjee , Anna Kuechle Szweda , Andrew Alegria , Rahul Rai , Tarunraj Singh

Researchers in explainable artificial intelligence have developed numerous methods for helping users understand the predictions of complex supervised learning models. By contrast, explaining the $\textit{uncertainty}$ of model outputs has…

Machine Learning · Statistics 2023-11-01 David S. Watson , Joshua O'Hara , Niek Tax , Richard Mudd , Ido Guy

Multi-fidelity methods are prominently used when cheaply-obtained, but possibly biased and noisy, observations must be effectively combined with limited or expensive true data in order to construct reliable models. This arises in both…

Machine Learning · Statistics 2019-03-19 Kurt Cutajar , Mark Pullin , Andreas Damianou , Neil Lawrence , Javier González

As the use of Artificial Intelligence (AI) components in cyber-physical systems is becoming more common, the need for reliable system architectures arises. While data-driven models excel at perception tasks, model outcomes are usually not…

Machine Learning · Computer Science 2023-06-01 Janek Groß , Michael Kläs , Lisa Jöckel , Pascal Gerber

Obtaining accurate estimates of machine learning model uncertainties on newly predicted data is essential for understanding the accuracy of the model and whether its predictions can be trusted. A common approach to such uncertainty…

Agent-based modeling (ABM) offers powerful insights into complex systems, but its practical utility has been limited by computational constraints and simplistic agent behaviors, especially when simulating large populations. Recent…

Multiagent Systems · Computer Science 2024-11-12 Ayush Chopra , Shashank Kumar , Nurullah Giray-Kuru , Ramesh Raskar , Arnau Quera-Bofarull

Uncertainty quantification (UQ) methods for Large Language Models (LLMs) encompass a variety of approaches, with two major types being particularly prominent: information-based, which focus on model confidence expressed as token…

Computation and Language · Computer Science 2025-12-10 Roman Vashurin , Maiya Goloburda , Albina Ilina , Aleksandr Rubashevskii , Preslav Nakov , Artem Shelmanov , Maxim Panov

Agent-based models (ABMs) highlight the importance of simulation validation, such as qualitative face validation and quantitative empirical validation. In particular, we focused on quantitative validation by adjusting simulation input…

Artificial Intelligence · Computer Science 2022-03-08 Dongjun Kim , Tae-Sub Yun , Il-Chul Moon , Jang Won Bae

Agent-Based Models (ABMs) are gaining great popularity in economics and social science because of their strong flexibility to describe the realistic and heterogeneous decisions and interaction rules between individual agents. In this work,…

Machine Learning · Computer Science 2026-01-13 Junyao Zhang , Jinglai Li , Junqi Tang

The computational efficiency of approximate Bayesian computation (ABC) has been improved by using surrogate models such as Gaussian processes (GP). In one such promising framework the discrepancy between the simulated and observed data is…

Machine Learning · Statistics 2020-08-07 Marko Järvenpää , Aki Vehtari , Pekka Marttinen

Representing and quantifying uncertainty in physical parameterisations is a central challenge in weather and climate modelling, and approaches are often developed separately for different timescales. Here, we introduce a unified framework…

Atmospheric and Oceanic Physics · Physics 2025-12-01 Laura A. Mansfield , Hannah M. Christensen

Graphical models have demonstrated their exceptional capabilities across numerous applications. However, their performance, confidence, and trustworthiness are often limited by the inherent randomness in data generation and the lack of…

Machine Learning · Computer Science 2026-04-15 Chao Chen , Chenghua Guo , Rui Xu , Jiujiu Chen , Xiangwen Liao , Xi Zhang , Sihong Xie , Hui Xiong , Philip Yu

Bayesian modelling allows for the quantification of predictive uncertainty which is crucial in safety-critical applications. Yet for many machine learning (ML) algorithms, it is difficult to construct or implement their Bayesian…

Machine Learning · Statistics 2024-10-22 Ziyu Wang , Chris Holmes

Uncertainty quantification is a critical aspect of machine learning models, providing important insights into the reliability of predictions and aiding the decision-making process in real-world applications. This paper proposes a novel way…

Machine Learning · Computer Science 2024-01-02 Yusuf Sale , Paul Hofman , Lisa Wimmer , Eyke Hüllermeier , Thomas Nagler

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

Probability · Mathematics 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

Extreme weather poses a large risk to critical energy systems (Ekisheva, Rieder, Norris, Lauby, & Dobson 2021; Levin, Botterud, Mann, Kwon, & Zhou 2022). Uncertainty quantification of negative impacts is important for developing resilience,…

Methodology · Statistics 2026-03-11 Mitchell L. Krock , W. Neal Mann , Zhi Zhou

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Sebastian Kersting , Michael Kohler

Model-form uncertainty (MFU) in assumptions made during physics-based model development is widely considered a significant source of uncertainty; however, there are limited approaches that can quantify MFU in predictions extrapolating…

Computational Engineering, Finance, and Science · Computer Science 2025-09-16 Teresa Portone , Rebekah D. White , Joseph L. Hart

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

Standard deep learning methods, such as Ensemble Models, Bayesian Neural Networks and Quantile Regression Models provide estimates to prediction uncertainties for data-driven deep learning models. However, they can be limited in their…