polynomial-chaos

High-dimensional Polynomial Chaos Basis Selection with Bayesian Compressive Sensing

Talk

Surrogate Construction via Bayesian Compressive Sensing for the Community Land Model

Talk

Surrogate-Based Uncertainty Quantification in Climate Models in presence of High Dimensional, Dependent Inputs and Nonsmooth Outputs

Poster

Uncertainty Quantification in MD Simulations. Part I: Stochastic Reformulation of the Forward Problem

This work focuses on quantifying the effect of intrinsic (thermal) noise and parametric uncertainty in molecular dynamics (MD) simulations. We consider isothermal, isobaric MD simulations of TIP4P (or four-site) water at ambient conditions, $T=298$ K …

Uncertainty Quantification in MD Simulations. Part II: Inference of Force-Field Parameters

This paper explores the inference of small-scale, atomistic parameters, based on the specification of large, or macroscale, observables. Specifically, we focus on estimating a set of force-field parameters for the four-site, TIP4P, water model, based …

Multiparameter Spectral Representation of Noise-Induced Competence in Bacillus subtilis

In this work, the problem of representing a stochastic forward model output with respect to a large number of input parameters is considered. The methodology is applied to a stochastic reaction network of competence dynamics in Bacillus subtilis …

A Stochastic Multiscale Coupling Scheme to Account for Sampling Noise in Atomistic-to-Continuum Simulations

We present a methodology to assess the predictive fidelity of multiscale simulations by incorporating uncertainty in the information exchanged between the atomistic and continuum simulation components. Focusing on uncertainty due to finite sampling …

Adaptive Basis Selection and Dimensionality Reduction with Bayesian Compressive Sensing

Talk

UQ Challenges and Techniques to Address Them

Talk

Uncertainty Quantification given Discontinuous Model Response and a Limited Number of Model Runs

We outline a methodology for forward uncertainty quantification in systems with uncertain parameters, discontinuous model response, and a limited number of model runs. Our approach involves two stages. First we detect the discontinuity with Bayesian …