Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Butler, Troy A."'
Bayesian inference provides a powerful tool for leveraging observational data to inform model predictions and uncertainties. However, when such data is limited, Bayesian inference may not adequately constrain uncertainty without the use of highly inf
Externí odkaz:
http://arxiv.org/abs/2407.13814
We present a novel method for generating sequential parameter estimates and quantifying epistemic uncertainty in dynamical systems within a data-consistent (DC) framework. The DC framework differs from traditional Bayesian approaches due to the incor
Externí odkaz:
http://arxiv.org/abs/2405.08307
We formulate a novel approach to solve a class of stochastic problems, referred to as data-consistent inverse (DCI) problems, which involve the characterization of a probability measure on the parameters of a computational model whose subsequent push
Externí odkaz:
http://arxiv.org/abs/2404.11886
This work presents novel extensions for combining two frameworks for quantifying both aleatoric (i.e., irreducible) and epistemic (i.e., reducible) sources of uncertainties in the modeling of engineered systems. The data-consistent (DC) framework pos
Externí odkaz:
http://arxiv.org/abs/2403.03233
A recently developed measure-theoretic framework solves a stochastic inverse problem (SIP) for models where uncertainties in model output data are predominantly due to aleatoric (i.e., irreducible) uncertainties in model inputs (i.e., parameters). Th
Externí odkaz:
http://arxiv.org/abs/2212.04587
Dynamical systems arise in a wide variety of mathematical models from science and engineering. A common challenge is to quantify uncertainties on model inputs (parameters) that correspond to a quantitative characterization of uncertainties on observa
Externí odkaz:
http://arxiv.org/abs/2009.06918
A previous study analyzed the convergence of probability densities for forward and inverse problems when a sequence of approximate maps between model inputs and outputs converges in $L^\infty$. This work generalizes the analysis to cases where the ap
Externí odkaz:
http://arxiv.org/abs/2001.04369
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 March 2023 407
Publikováno v:
SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 5, pA3124-A3150, 27p
Autor:
Janani, Negar, Young, Kendra A., Kinney, Greg, Strand, Matthew, Hokanson, John E., Liu, Yaning, Butler, Troy, Austin, Erin
Publikováno v:
Genetic Epidemiology; Sep2024, Vol. 48 Issue 6, p270-288, 19p