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Noemi Petra
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A computational framework for infinite-dimensional Bayesian inverse problems, Part II: Stochastic Newton MCMC with application to ice sheet flow inverse problems
N Petra, J Martin, G Stadler, O Ghattas
SIAM Journal on Scientific Computing 36 (4), A1525-A1555, 2014
2952014
Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the …
T Isaac, N Petra, G Stadler, O Ghattas
Journal of Computational Physics 296, 348-368, 2015
1862015
A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems
A Alexanderian, N Petra, G Stadler, O Ghattas
SIAM Journal on Scientific Computing 38 (1), A243-A272, 2016
1762016
A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized -Sparsification
A Alexanderian, N Petra, G Stadler, O Ghattas
SIAM Journal on Scientific Computing 36 (5), A2122-A2148, 2014
1732014
Theoretical analysis of a quartz-enhanced photoacoustic spectroscopy sensor
N Petra, J Zweck, AA Kosterev, SE Minkoff, D Thomazy
Applied Physics B 94, 673-680, 2009
1532009
An inexact Gauss-Newton method for inversion of basal sliding and rheology parameters in a nonlinear Stokes ice sheet model
N Petra, H Zhu, G Stadler, TJR Hughes, O Ghattas
Journal of Glaciology 58 (211), 889-903, 2012
1312012
hIPPYlib: An extensible software framework for large-scale inverse problems governed by PDEs: Part I: Deterministic inversion and linearized Bayesian inference
U Villa, N Petra, O Ghattas
ACM Transactions on Mathematical Software (TOMS) 47 (2), 1-34, 2021
1172021
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations
A Alexanderian, N Petra, G Stadler, O Ghattas
SIAM/ASA Journal on Uncertainty Quantification 5 (1), 1166-1192, 2017
1002017
A Bayesian approach for parameter estimation with uncertainty for dynamic power systems
N Petra, CG Petra, Z Zhang, EM Constantinescu, M Anitescu
IEEE Transactions on Power Systems 32 (4), 2735-2743, 2016
852016
hIPPYlib: An extensible software framework for large-scale inverse problems
U Villa, N Petra, O Ghattas
Journal of Open Source Software 3 (30), 2018
702018
Model variational inverse problems governed by partial differential equations
N Petra, G Stadler
ICES REPORT 11-05, 2011
652011
Towards adjoint-based inversion for rheological parameters in nonlinear viscous mantle flow
J Worthen, G Stadler, N Petra, M Gurnis, O Ghattas
Physics of the Earth and Planetary Interiors 234, 23-34, 2014
522014
Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: Good to know what you don't know
A Alexanderian, N Petra, G Stadler, I Sunseri
SIAM/ASA Journal on Uncertainty Quantification 9 (1), 163-184, 2021
292021
Inferring the basal sliding coefficient field for the Stokes ice sheet model under rheological uncertainty
O Babaniyi, R Nicholson, U Villa, N Petra
The Cryosphere 15 (4), 1731-1750, 2021
252021
Modeling and design optimization of a resonant optothermoacoustic trace gas sensor
N Petra, J Zweck, SE Minkoff, AA Kosterev, JH Doty III
SIAM Journal on Applied Mathematics 71 (1), 309-332, 2011
252011
Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field
R Nicholson, N Petra, JP Kaipio
Inverse Problems 34 (11), 115005, 2018
242018
hIPPYlib-MUQ: A Bayesian inference software framework for integration of data with complex predictive models under uncertainty
KT Kim, U Villa, M Parno, Y Marzouk, O Ghattas, N Petra
ACM Transactions on Mathematical Software 49 (2), 1-31, 2023
202023
Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model
H Zhu, N Petra, G Stadler, T Isaac, TJR Hughes, O Ghattas
The Cryosphere 10 (4), 1477-1494, 2016
182016
On the derivation of quasi-Newton formulas for optimization in function spaces
RG Vuchkov, CG Petra, N Petra
Numerical Functional Analysis and Optimization 41 (13), 1564-1587, 2020
142020
Optimal design of large-scale nonlinear Bayesian inverse problems under model uncertainty
A Alexanderian, R Nicholson, N Petra
Inverse Problems 40 (9), 095001, 2024
132024
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