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Validation is often defined as the process of determining the degree to which a model is an accurate representation of the real world from the perspective of its intended uses. Validation is crucial as industries and governments depend…

Data Analysis, Statistics and Probability · Physics 2015-06-26 D. Sornette , A. B. Davis , K. Ide , K. R. Vixie , V. Pisarenko , J. R. Kamm

The validation of a data-driven model is the process of assessing the model's ability to generalize to new, unseen data in the population of interest. This paper proposes a set of general rules for model validation. These rules are designed…

Methodology · Statistics 2026-01-30 José Camacho

In the field of modeling, the word validation refers to simple comparisons between model outputs and experimental data. Usually, this comparison constitutes plotting the model results against data on the same axes to provide a visual…

Applications · Statistics 2021-06-11 Farid Mohammadi

A key question in evaluation of computer models is Does the computer model adequately represent reality? A six-step process for computer model validation is set out in Bayarri et al. [Technometrics 49 (2007) 138--154] (and briefly…

Systems design processes are increasingly reliant on simulation models to inform design decisions. A pervasive issue within the systems engineering community is trusting in the models used to make decisions about complex systems. This work…

Computational Engineering, Finance, and Science · Computer Science 2025-08-05 Edward Louis , Gregory Mocko , Evan Taylor

Despite the general consensus in transport research community that model calibration and validation are necessary to enhance model predictive performance, there exist significant inconsistencies in the literature. This is primarily due to a…

Methodology · Statistics 2023-09-18 Samson Ting , Thomas Lymburn , Thomas Stemler , Yuchao Sun , Michael Small

Numerical predictions of quantities of interest measured within physical systems rely on the use of mathematical models that should be validated, or at best, not invalidated. Model validation usually involves the comparison of experimental…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Antonin Paquette-Rufiange , Serge Prudhomme , Marc Laforest

This paper presents a comprehensive overview of model validation practices and advancement in the banking industry based on the experience of managing Model Risk Management (MRM) since the inception of regulatory guidance SR11-7/OCC11-12…

Computers and Society · Computer Science 2024-11-12 Agus Sudjianto , Aijun Zhang

This paper presents a formal theory of verification and validation (V&V) within systems engineering, grounded in the axiom that V&V are fundamentally knowledge-building activities. Using dynamic epistemic modal logic, we develop precise…

Software Engineering · Computer Science 2025-06-16 Hanumanthrao Kannan , Alejandro Salado

Validation of models for powder flow requires that the models be stochastic and that they be fit by statistical inference. Methods from spatial and multivariate statistics can be used for model fitting and assessment. If the quality of the…

Materials Science · Physics 2009-11-03 Jeffrey Picka

Existing procedures for model validation have been deemed inadequate for many engineering systems. The reason of this inadequacy is due to the high degree of complexity of the mechanisms that govern these systems. It is proposed in this…

Artificial Intelligence · Computer Science 2007-05-23 A. Guergachi

In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework to a general calibration and validation framework by…

Methodology · Statistics 2020-08-04 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

We present examples of validating components of an astrophysical simulation code. Problems of stellar astrophysics are multi-dimensional and involve physics acting on large ranges of length and time scales that are impossible to include in…

Solar and Stellar Astrophysics · Physics 2018-09-10 A. C. Calder , D. M. Townsley

Qualification of components operating in future fusion power plants will be heavily reliant on simulations of component behaviour. The lack of representative test environments for many aspects of the expected operating environment will…

Plasma Physics · Physics 2026-05-13 J. T. Horne-Jones , M. Baxter , A. Tayeb , L. Fletcher , J. Paterson , S. Biggs-Fox , A. Harte

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

Machine Learning · Statistics 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

Methodology · Statistics 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon

Simulation is essential to validate autonomous driving systems. However, a simple simulation, even for an extremely high number of simulated miles or hours, is not sufficient. We need well-founded criteria showing that simulation does…

Software Engineering · Computer Science 2023-01-24 Changwen Li , Joseph Sifakis , Qiang Wang , Rongjie Yan , Jian Zhang

In scientific inference problems, the underlying statistical modeling assumptions have a crucial impact on the end results. There exist, however, only a few automatic means for validating these fundamental modelling assumptions. The…

Methodology · Statistics 2019-05-21 Andreas Svensson , Dave Zachariah , Petre Stoica , Thomas B. Schön

The ultimate purpose of most computational models is to make predictions, commonly in support of some decision-making process (e.g., for design or operation of some system). The quantities that need to be predicted (the quantities of…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Todd A. Oliver , Gabriel Terejanu , Christopher S. Simmons , Robert D. Moser
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