Alen Alexanderian
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Works (43)
Updated: April 11th, 2023 10:13
2023 journal article
A new perspective on parameter study of optimization problems
APPLIED MATHEMATICS LETTERS, 140.
author keywords: Optimization; Post-optimal sensitivity analysis; Inverse problems
arxiv.org (repository)
Source: Web Of Science
Added: February 20, 2023
2022 journal article
Hyper-differential sensitivity analysis for inverse problems governed by ODEs with application to COVID-19 modeling
MATHEMATICAL BIOSCIENCES, 351.
author keywords: Inverse problems; Sensitivity analysis; Uncertainty quantification; Design of experiments; Computational epidemiology
Source: Web Of Science
Added: September 26, 2022
2022 journal article
MONTE CARLO ESTIMATORS FOR THE SCHATTEN p-NORM OF SYMMETRIC POSITIVE SEMIDEFINITE MATRICES
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 55, 213–241.
author keywords: Schatten p-norm; Monte Carlo estimator; optimal experimental design; Chebyshev polynomials
Sources: Web Of Science, ORCID
Added: January 31, 2022
2022 journal article
Using ultrasonic attenuation in cortical bone to infer distributions on pore size
APPLIED MATHEMATICAL MODELLING, 109, 819–832.
author keywords: Ultrasound; Cortical bone; Polydisperse; Waterman truell; Inverse problems; Variational regularization
Source: Web Of Science
Added: June 27, 2022
2021 journal article
Global sensitivity analysis informed model reduction and selection applied to a Valsalva maneuver model
JOURNAL OF THEORETICAL BIOLOGY, 526.
Source: Web Of Science
Added: July 26, 2021
2021 journal article
Inferring pore radius and density from ultrasonic attenuation using physics-based modeling
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 149(1), 340–347.
Source: Web Of Science
Added: February 15, 2021
2021 journal article
MULTISCALE GLOBAL SENSITIVITY ANALYSIS FOR STOCHASTIC CHEMICAL SYSTEMS
MULTISCALE MODELING & SIMULATION, 19(1), 440–459.
author keywords: chemical reaction networks; stochastic processes; global sensitivity analysis; multiscale modeling; thermodynamic limit
Source: Web Of Science
Added: May 3, 2021
2021 journal article
Optimal Design of Large-scale Bayesian Linear Inverse Problems Under Reducible Model Uncertainty: Good to Know What You Don't Know
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 9(1), 163–184.
author keywords: optimal experimental design; Bayesian inference; inverse problems; model uncertainty; sensor placement; sparsified designs
Source: Web Of Science
Added: May 10, 2021
2021 review
Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review
[Review of ]. INVERSE PROBLEMS, 37(4).
author keywords: optimal experimental design; inverse problem; Bayesian inference in Hilbert space; sensor placement
Source: Web Of Science
Added: April 5, 2021
2021 article
Structure exploiting methods for fast uncertainty quantification in multiphase flow through heterogeneous media
Cleaves, H., Alexanderian, A., & Saad, B. (2021, September 8). COMPUTATIONAL GEOSCIENCES.
author keywords: Uncertainty quantification; Surrogate models; Dimension reduction; Multiphase flow; Sensitivity analysis; Spectral representations
Source: Web Of Science
Added: September 20, 2021
2020 journal article
A Distributed Active Subspace Method for Scalable Surrogate Modeling of Function Valued Outputs
JOURNAL OF SCIENTIFIC COMPUTING, 85(2).
author keywords: Distributed active subspace; Karhunen– Loè ve expansion; Dimension reduction; Function valued outputs; Porous medium flow; Biotransport
Source: Web Of Science
Added: November 24, 2020
2020 journal article
Hyper-differential sensitivity analysis for inverse problems constrained by partial differential equations
INVERSE PROBLEMS, 36(12).
author keywords: inverse problems; sensitivity analysis; design of experiments; subsurface flow; model uncertainty
Source: Web Of Science
Added: December 21, 2020
2020 journal article
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs
INVERSE PROBLEMS, 36(7).
author keywords: optimal design; inverse problems; model uncertainty; optimization under uncertainty; model reduction; subsurface flow
Source: Web Of Science
Added: August 3, 2020
2020 journal article
RANDOMIZATION AND REWEIGHTED l(1)-MINIMIZATION FOR A-OPTIMAL DESIGN OF LINEAR INVERSE PROBLEMS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 42(3), A1714–A1740.
author keywords: Bayesian inversion; A-optimal experimental design; large-scale ill-posed inverse problems; randomized matrix methods; reweighted l(1) minimization; uncertainty quantification
Sources: Web Of Science, ORCID
Added: August 10, 2020
2020 journal article
Variance-based sensitivity analysis for time-dependent processes
RELIABILITY ENGINEERING & SYSTEM SAFETY, 196.
author keywords: Global sensitivity analysis; Sobol' Indices; Karhunen-Loeve expansion; Time-dependent processes; Surrogate models; Polynomial chaos; Uncertainty quantification
Sources: Web Of Science, ORCID
Added: March 16, 2020
2019 journal article
Active subspace-based dimension reduction for chemical kinetics applications with epistemic uncertainty
COMBUSTION AND FLAME, 204, 152–161.
author keywords: Chemical kinetics; Epistemic uncertainty; Active subspace; Dimension reduction; Surrogate
Source: Web Of Science
Added: June 17, 2019
2019 journal article
DERIVATIVE-BASED GLOBAL SENSITIVITY ANALYSIS FOR MODELS WITH HIGH-DIMENSIONAL INPUTS AND FUNCTIONAL OUTPUTS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(6), A3524–A3551.
author keywords: global sensitivity analysis; DGSMs; functional Sobol' indices; Karhunen-Loeve expansions
Sources: Web Of Science, ORCID
Added: August 3, 2020
2019 journal article
Efficient Marginalization-Based MCMC Methods for Hierarchical Bayesian Inverse Problems
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 7(3), 1105–1131.
author keywords: Markov chain Monte Carlo; hierarchical Bayesian approach; inverse problems; one-block algorithm; low-rank approximations
Sources: Web Of Science, ORCID
Added: October 14, 2019
2019 journal article
Model Input and Output Dimension Reduction Using Karhunen-Loeve Expansions With Application to Biotransport
ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING, 5(4).
Sources: Web Of Science, ORCID
Added: January 27, 2020
2019 journal article
Sensitivity-Driven Adaptive Construction of Reduced-space Surrogates
JOURNAL OF SCIENTIFIC COMPUTING, 79(2), 1335–1359.
author keywords: Global sensitivity analysis; Polynomial chaos; Parameter screening; Surrogate modeling
Source: Web Of Science
Added: May 6, 2019
2018 journal article
EFFICIENT D-OPTIMAL DESIGN OF EXPERIMENTS FOR INFINITE-DIMENSIONAL BAYESIAN LINEAR INVERSE PROBLEMS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 40(5), A2956–A2985.
author keywords: Bayesian inversion; D-optimal experimental design; large-scale ill-posed inverse problems; randomized matrix methods; low-rank approximation; uncertainty quantification
Sources: Web Of Science, ORCID
Added: November 19, 2018
2018 journal article
Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems
INVERSE PROBLEMS, 34(9).
author keywords: design of experiments; inverse problems; sensor placement; data assimilation
Sources: Web Of Science, ORCID
Added: October 19, 2018
2018 journal article
Probabilistic modeling and global sensitivity analysis for CO2 storage in geological formations: a spectral approach
APPLIED MATHEMATICAL MODELLING, 53, 584–601.
author keywords: Carbon sequestration; Multiphase flow; Risk assessment; Parametric uncertainty; Polynomial chaos; Sensitivity analysis
Source: Web Of Science
Added: August 6, 2018
2017 journal article
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem
INVERSE PROBLEMS, 33(7).
author keywords: source encoding; Bayesian nonlinear inverse problem; A-optimal experimental design; randomized trace estimator; Helmholtz equation
Source: Web Of Science
Added: August 6, 2018
2017 journal article
EFFICIENT COMPUTATION OF SOBOL' INDICES FOR STOCHASTIC MODELS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(4), A1514–A1530.
author keywords: global sensitivity; Sobol' indices; stochastic models; surrogate models; MARS; high dimensions
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Investigation of Biotransport in a Tumor With Uncertain Material Properties Using a Nonintrusive Spectral Uncertainty Quantification Method
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 139(9).
author keywords: uncertain permeability and porosity; statistical modeling; mass transportation; uncertainty quantification; Karhunen-Loeve expansion; polynomial chaos; nonintrusive spectral projection; sparse quadrature
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 5(1), 1166–1192.
author keywords: optimization under uncertainty; PDE-constrained optimization; optimal control; risk-aversion; PDEs with random coefficients; Gaussian measure; Hessian; trace estimators
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Randomized matrix-free trace and log-determinant estimators
NUMERISCHE MATHEMATIK, 137(2), 353–395.
Sources: Web Of Science, ORCID
Added: August 6, 2018
2017 journal article
Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods
JOURNAL OF SCIENTIFIC COMPUTING, 70(2), 516–550.
author keywords: Stability analysis; Nonlinear; von Neumann; Discontinuous Galerkin; Runge-Kutta methods; RKSSP; RKC; Convection-Reaction-Diffusion
Source: Web Of Science
Added: August 6, 2018
2016 journal article
A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
SIAM Journal on Scientific Computing, 38(1), A243–A272.
author keywords: optimal experimental design; A-optimal design; Bayesian inference; sensor placement; nonlinear inverse problems; randomized trace estimator; sparsified designs
Sources: Web Of Science, Crossref
Added: August 6, 2018
2016 journal article
On Bayesian A- and D-Optimal Experimental Designs in Infinite Dimensions
BAYESIAN ANALYSIS, 11(3), 671–695.
author keywords: Bayesian inference in Hilbert space; Gaussian measure; Kullback-Leibler divergence; Bayesian optimal experimental design; expected information gain; Bayes risk
Source: Web Of Science
Added: August 6, 2018
2015 journal article
EXPOSITORY PAPER: A PRIMER ON HOMOGENIZATION OF ELLIPTIC PDES WITH STATIONARY AND ERGODIC RANDOM COEFFICIENT FUNCTIONS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 45(3), 703–735.
author keywords: Homogenization; random media; ergodic dynamical system; stationary random field; diffusion in random media
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized l_0-Sparsification
SIAM Journal on Scientific Computing, 36(5), A2122–A2148.
author keywords: optimal experimental design; A-optimal design; Bayesian inference; sensor placement; ill-posed inverse problems; low-rank approximation; randomized trace estimator; randomized SVD
Source: Crossref
Added: August 18, 2019
2013 journal article
Bayesian Inference of Drag Parameters Using AXBT Data from Typhoon Fanapi
Monthly Weather Review, 141(7), 2347–2367.
Source: Crossref
Added: July 20, 2019
2013 journal article
On spectral methods for variance based sensitivity analysis
Probability Surveys, 10(0), 51–68.
author keywords: Variance based sensitivity analysis; analysis of variance; spectral methods; generalized polynomial chaos; orthogonal polynomials; conditional expectation
Source: Crossref
Added: July 20, 2019
2013 journal article
Preconditioned Bayesian Regression for Stochastic Chemical Kinetics
Journal of Scientific Computing, 58(3), 592–626.
author keywords: Polynomial chaos; Bayesian regression; Preconditioner; Stochastic simulation algorithm; Chemical kinetics
Source: Crossref
Added: July 20, 2019
2012 journal article
Global sensitivity analysis in an ocean general circulation model: a sparse spectral projection approach
Computational Geosciences, 16(3), 757–778.
Source: Crossref
Added: July 20, 2019
2012 journal article
Homogenization, Symmetry, and Periodization in Diffusive Random Media
Acta Mathematica Scientia, 32(1), 129–154.
author keywords: homogenization; periodization; random media; ergodic dynamical systems; material symmetry; isotropy
Source: Crossref
Added: July 20, 2019
2012 journal article
Simplified CSP analysis of a stiff stochastic ODE system
Computer Methods in Applied Mechanics and Engineering, 217-220, 121–138.
author keywords: CSP; Stiff system; Uncertain ODE; Polynomial chaos; Random eigenvalues
Source: Crossref
Added: July 20, 2019
2011 journal article
An age-structured model for the spread of epidemic cholera: Analysis and simulation
Nonlinear Analysis: Real World Applications, 12(6), 3483–3498.
author keywords: Epidemic cholera; SIR model; Hyperbolic transport; Finite differences
Source: Crossref
Added: July 20, 2019
2011 journal article
Multiscale Stochastic Preconditioners in Non-intrusive Spectral Projection
Journal of Scientific Computing, 50(2), 306–340.
author keywords: Polynomial chaos; Stochastic preconditioner; Non-intrusive spectral projection; Uncertain dynamical system; Stretched measure
Source: Crossref
Added: July 20, 2019
2010 journal article
Irreducibility of a Symmetry Group Implies Isotropy
Journal of Elasticity, 102(2), 151–174.
author keywords: Linear elasticity; Isotropy; Symmetry groups; Group representation; Schur's Lemma; Random media
Source: Crossref
Added: July 20, 2019
2009 journal article
JHelioviewer: Visualizing Large Sets of Solar Images Using JPEG 2000
Computing in Science & Engineering, 11(5), 38–47.
Source: Crossref
Added: July 20, 2019
