Alen Alexanderian

Works (43)

Updated: July 14th, 2023 11:15

2023 journal article

A new perspective on parameter study of optimization problems

APPLIED MATHEMATICS LETTERS, 140.

By: A. Alexanderian n, J. Hart* & M. Stevensโ€‰ n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Optimization; Post-optimal sensitivity analysis; Inverse problems
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.

By: M. Stevensโ€‰ n, I. Sunseri n & A. Alexanderian n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Inverse problems; Sensitivity analysis; Uncertainty quantification; Design of experiments; Computational epidemiology
MeSH headings : Algorithms; COVID-19; Humans; Linear Models; Models, Biological; Uncertainty
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, 213โ€“241.

By: E. Dudley, A. Saibaba*โ€‰ & A. Alexanderian*

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, 819โ€“832.

By: R. White n, A. Alexanderian n, O. Yousefianโ€‰ n, Y. Karbalaeisadegh n, K. Bekele-Maxwell n, A. Kasali n, H. Banks n, M. Talmant*, Q. Grimal*, M. Muller n

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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.

By: E. Randall n, N. Randolphโ€‰ n, A. Alexanderian n & M. Olufsen n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
MeSH headings : Bayes Theorem; Blood Pressure; Heart Rate; Valsalva Maneuver
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), 340โ€“347.

By: R. White n, O. Yousefian*, H. Banks n, A. Alexanderian n & M. Mueller

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
MeSH headings : Bone Density; Bone and Bones; Cortical Bone / diagnostic imaging; Porosity; Ultrasonics; Ultrasonography
Source: Web Of Science
Added: February 15, 2021

2021 journal article

MULTISCALE GLOBAL SENSITIVITY ANALYSIS FOR STOCHASTIC CHEMICAL SYSTEMS

MULTISCALE MODELING & SIMULATION, 19(1), 440โ€“459.

By: M. Merritt*, A. Alexanderian* & P. Gremaud*

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), 163โ€“184.

By: A. Alexanderian*, N. Petra, G. Stadler & I. Sunseri*

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).

By: A. Alexanderian n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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.

By: H. Cleaves n, A. Alexanderian n & B. Saadโ€‰*

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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).

By: H. Guy n, A. Alexanderian n & M. Yuโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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).

By: I. Sunseri n, J. Hart n, B. Bloemen Waandersโ€‰ n & A. Alexanderian n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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).

By: K. Koval*, A. Alexanderian n & G. Stadlerโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), A1714โ€“A1740.

By: E. Herman, A. Alexanderian* & A. Saibaba*โ€‰

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.

By: A. Alexanderian n, P. Gremaud n & R. Smith nโ€‰

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 152โ€“161.

By: M. Vohra*, A. Alexanderian n, H. Guy n & S. Mahadevanโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), A3524โ€“A3551.

By: H. Cleaves*, A. Alexanderian*, H. Guy, R. Smith*โ€‰ & M. Yu

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), 1105โ€“1131.

By: A. Saibaba*โ€‰, J. Bardsley, D. Brown & A. Alexanderian*

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).

By: A. Alexanderian n, W. Reese n, R. Smith nโ€‰ & M. Yuโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 1335โ€“1359.

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), A2956โ€“A2985.

By: A. Alexanderian* & A. Saibaba*โ€‰

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).

By: A. Attiaโ€‰*, A. Alexanderian n & A. Saibaba nโ€‰

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 584โ€“601.

co-author countries: Canada ๐Ÿ‡จ๐Ÿ‡ฆ Saudi Arabia ๐Ÿ‡ธ๐Ÿ‡ฆ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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).

By: B. Crestel*, A. Alexanderian n, G. Stadlerโ€‰* & O. Ghattasโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), A1514โ€“A1530.

By: J. Hart*, A. Alexanderian* & P. Gremaud*

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).

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: uncertain permeability and porosity; statistical modeling; mass transportation; uncertainty quantification; Karhunen-Loeve expansion; polynomial chaos; nonintrusive spectral projection; sparse quadrature
MeSH headings : Biological Transport; Models, Biological; Nanoparticles; Neoplasms / diagnostic imaging; Neoplasms / metabolism; Permeability; Porosity; Pressure; Uncertainty; X-Ray Microtomography
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), 1166โ€“1192.

By: A. Alexanderian n, N. Petraโ€‰*, G. Stadler & O. Ghattasโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 353โ€“395.

By: A. Saibaba nโ€‰, A. Alexanderian n & I. Ipsen nโ€‰

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ

Contributors: A. Saibaba nโ€‰, A. Alexanderian n & I. Ipsenโ€‰ n

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), 516โ€“550.

By: C. Michoskiโ€‰*, A. Alexanderian n, C. Paillet*, E. Kubatko* & C. Dawsonโ€‰*

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), A243โ€“A272.

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 671โ€“695.

By: A. Alexanderian*, P. Gloor & O. Ghattas

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), 703โ€“735.

By: A. Alexanderian*

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), A2122โ€“A2148.

By: A. Alexanderian*, N. Petra, G. Stadler & O. Ghattas

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), 2347โ€“2367.

By: I. Srajโ€‰*, M. Iskandarani*, A. Srinivasan*, W. Thacker*, J. Winokur*, A. Alexanderian*, C. Lee*, S. Chen*, O. Knioโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 20, 2019

2013 journal article

On spectral methods for variance based sensitivity analysis

Probability Surveys, 10(0), 51โ€“68.

By: A. Alexanderian*

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), 592โ€“626.

By: A. Alexanderian*, F. Rizzi*, M. Rathinam*, O. Le Maรฎtreโ€‰* & O. Knioโ€‰*

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 757โ€“778.

By: A. Alexanderian*, J. Winokur*, I. Srajโ€‰*, A. Srinivasan*, M. Iskandarani*, W. Thacker*, O. Knioโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 20, 2019

2012 journal article

Homogenization, Symmetry, and Periodization in Diffusive Random Media

Acta Mathematica Scientia, 32(1), 129โ€“154.

By: A. Alexanderian*, M. Rathinam* & R. Rostamian*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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, 121โ€“138.

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 3483โ€“3498.

By: A. Alexanderian*, M. Gobbert, K. Fister, H. Gaff, S. Lenhart & E. Schaefer

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), 306โ€“340.

By: A. Alexanderian*, O. Le Maรฎtre*, H. Najmโ€‰*, M. Iskandarani* & O. Knioโ€‰*

co-author countries: France ๐Ÿ‡ซ๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 151โ€“174.

By: A. Alexanderian*, M. Rathinam* & R. Rostamian*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
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), 38โ€“47.

By: D. Muller, B. Fleck, G. Dimitoglou*, B. Caplinsโ€‰*, D. Amadigwe*, J. Ortiz*, B. Wamsler*, A. Alexanderian*, V. Hughittโ€‰*, J. Irelandโ€‰*

co-author countries: Germany ๐Ÿ‡ฉ๐Ÿ‡ช Spain ๐Ÿ‡ช๐Ÿ‡ธ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 20, 2019

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