22 citations · 105 across the 15 of their papers we have counts for
5 papers · 1 filter
A Generalized Bayesian Approach to Model Calibration
Tony Tohme, Kevin Vanslette, Kamal Youcef-Toumi
In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework…
Vectorized Uncertainty Propagation and Input Probability Sensitivity Analysis
Kevin Vanslette, Arwa Alanqari, Zeyad Al-awwad +1
In this article we construct a theoretical and computational process for assessing Input Probability Sensitivity Analysis (IPSA) using a Graphics Processing Unit (GPU) enabled tech…
A General Model Validation and Testing Tool
Kevin Vanslette, Tony Tohme, Kamal Youcef-Toumi
We construct and propose the "Bayesian Validation Metric" (BVM) as a general model validation and testing tool. We find the BVM to be capable of representing all of the standard va…
Why Simple Quadrature is just as good as Monte Carlo
Kevin Vanslette, Abdullatif Al Alsheikh, Kamal Youcef-Toumi
We motive and calculate Newton--Cotes quadrature integration variance and compare it directly with Monte Carlo (MC) integration variance. We find an equivalence between determinist…
The Design of Global Correlation Quantifiers and Continuous Notions of Statistical Sufficiency
Nicholas Carrara, Kevin Vanslette
Using first principles from inference, we design a set of functionals for the purposes of \textit{ranking} joint probability distributions with respect to their correlations. Start…