22 citations · 105 across the 15 of their papers we have counts for
15 papers
Inferential Moments of Uncertain Multivariable Systems
Kevin Vanslette
This article expands the framework of Bayesian inference and provides direct probabilistic methods for approaching inference tasks that are typically handled with information theor…
Reliable Neural Networks for Regression Uncertainty Estimation
Tony Tohme, Kevin Vanslette, Kamal Youcef-Toumi
While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To addre…
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…
The Inferential Design of Entropy and its Application to Quantum Measurements
Kevin Vanslette
This thesis synthesizes probability and entropic inference with Quantum Mechanics (QM) and quantum measurement [1-6]. It is shown that the standard and quantum relative entropies a…
A Multiple Observer Probability Analysis for Bell Scenarios in Special Relativity
Kevin Vanslette
Here we present a Multiple Observer Probability Analysis (MOPA) for the purpose of clarifying topics in experimental Bell scenarios. Because Bell scenarios are interested in quantu…
The Quantum Bayes Rule and Generalizations from the Quantum Maximum Entropy Method
Kevin Vanslette
The recent article "Entropic Updating of Probability and Density Matrices" [1] derives and demonstrates the inferential origins of both the standard and quantum relative entropies…
Entropic Updating of Probability and Density Matrices
Kevin Vanslette
We find that the standard relative entropy and the Umegaki entropy are designed for the purpose of inferentially updating probability and density matrices respectively. From the sa…
Entropic Dynamics: A hybrid-contextual theory of Quantum Mechanics
Kevin Vanslette
The Bell-KS theorem and the more recent -epistemic \emph{no-go} theorems of QM are discussed in the context of Entropic Dynamics. In doing so we find that the Bell-KS theorem al…
Quantum Measurement and Weak Values in Entropic Dynamics
Kevin Vanslette, Ariel Caticha
The problem of measurement in quantum mechanics is studied within the Entropic Dynamics framework. We discuss von Neumann and Weak measurements, wavefunction collapse, and Weak Val…
How Kirkwood and Probability Distributions Differ: A Coxian Perspective
Kevin Vanslette
Kolmogorov's first axiom of probability is probability takes values between 0 and 1; however, in Cox's derivation of probability having a maximum value of unity is arbitrary since…
Theoretical Study of Variable Measurement Uncertainty and Infinite Unobservable Entropy
Kevin Vanslette
This paper examines the statistical mechanical and thermodynamical consequences of variable phase-space volume element . Varying lea…