Experiences with Target-Platform Heterogeneity in Clouds, Grids, and On-Premises Resources. - Jaroslaw Slawinski; Tiziano Passerini; Umberto Villa; Alessandro Veneziani; Vaidy S. Sunderam (IPDPS Workshops, 2012)

Issues in Communication Heterogeneity for Message-Passing Concurrent Computing. - Jaroslaw Slawinski; Umberto Villa; Tiziano Passerini; Alessandro Veneziani; Vaidy S. Sunderam (IPDPS Workshops, 2013)

ALADINS: An ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations. - Alessandro Veneziani; Umberto Villa (J. Comput. Phys., 2013)

A Block-Diagonal Algebraic Multigrid Preconditioner for the Brinkman Problem. - Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2013)

Experiences with Cost and Utility Trade-offs on IaaS Clouds, Grids, and On-Premise Resources. - Tiziano Passerini; Jaroslaw Slawinski; Umberto Villa; Vaidy S. Sunderam (IC2E, 2014)

A Mixed Formulation for the Brinkman Problem. - Panayot S. Vassilevski; Umberto Villa (SIAM J. Numer. Anal., 2014)

Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method. - Delyan Kalchev; Chak Shing Lee; Umberto Villa; Yalchin Efendiev; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2016)

Platform and algorithm effects on computational fluid dynamics applications in life sciences. - Sofia Guzzetti; Tiziano Passerini; Jaroslaw Slawinski; Umberto Villa; Alessandro Veneziani; Vaidy S. Sunderam (Future Gener. Comput. Syst., 2017)

A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems. - Nick Alger; Umberto Villa; Tan Bui-Thanh; Omar Ghattas (SIAM J. Sci. Comput., 2017)

Numerical Multilevel Upscaling for Incompressible Flow in Reservoir Simulation: An Element-Based Algebraic Multigrid (AMGe) Approach. - Max la Cour Christensen; Umberto Villa; Allan Peter Engsig-Karup; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2017)

A Multilevel, Hierarchical Sampling Technique for Spatially Correlated Random Fields. - Sarah Osborn 001; Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2017)

Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. - Max la Cour Christensen; Panayot S. Vassilevski; Umberto Villa (J. Comput. Appl. Math., 2018)

hIPPYlib: An Extensible Software Framework for Large-Scale Inverse Problems. - Umberto Villa; Noemi Petra; Omar Ghattas (J. Open Source Softw., 2018)

Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. - Sarah Osborn 001; Patrick Zulian; Thomas Benson; Umberto Villa; Rolf Krause; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2018)

Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty. - Peng Chen 024; Umberto Villa; Omar Ghattas (J. Comput. Phys., 2019)

Multifidelity probability estimation via fusion of estimators. - Boris Kramer; Alexandre Noll Marques; Benjamin Peherstorfer; Umberto Villa; Karen Willcox (J. Comput. Phys., 2019)

Proximal Newton Methods for X-Ray Imaging with Non-Smooth Regularization. - Tao Ge 002; Umberto Villa; Ulugbek S. Kamilov; Joseph A. O'Sullivan (Computational Imaging, 2020)

Derivative-Informed Projected Neural Networks for High-Dimensional Parametric Maps Governed by PDEs. - Thomas O'Leary-Roseberry; Umberto Villa; Peng Chen 024; Omar Ghattas (CoRR, 2020)

A Predictive Discrete-Continuum Multiscale Model of Plasticity With Quantified Uncertainty. - Jingye Tan; Umberto Villa; Nima Shamsaei; Shuai Shao; Hussein M. Zbib; Danial Faghihi (CoRR, 2020)

Bayesian Poroelastic Aquifer Characterization from InSAR Surface Deformation Data Part II: Quantifying the Uncertainty. - Amal Alghamdi; Marc Andre Hesse; Jingyi Chen; Umberto Villa; Omar Ghattas (CoRR, 2021)

Consensus ADMM for Inverse Problems Governed by Multiple PDE Models. - Luke Lozenski; Umberto Villa (CoRR, 2021)

Parallel Element-based Algebraic Multigrid for H(curl) and H(div) Problems Using the ParELAG Library. - Delyan Z. Kalchev; Panayot S. Vassilevski; Umberto Villa (CoRR, 2021)

A Predictive Multiphase Model of Silica Aerogels for Building Envelope Insulations. - Pedram Maleki; Jingye Tan; Lu An; Massimigliano Di Luigi; Umberto Villa; Chi Zhou; Shenqiang Ren; Danial Faghihi (CoRR, 2021)

Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo. - Hillary R. Fairbanks; Umberto Villa; Panayot S. Vassilevski (SIAM J. Sci. Comput., 2021)

hIPPYlib: An Extensible Software Framework for Large-Scale Inverse Problems Governed by PDEs: Part I: Deterministic Inversion and Linearized Bayesian Inference. - Umberto Villa; Noemi Petra; Omar Ghattas (ACM Trans. Math. Softw., 2021)

Learned Hotelling observers for use with multi-modal data. - Jason L. Granstedt; Fu Li; Umberto Villa; Mark A. Anastasio (Image Perception, Observer Performance, and Technology Assessment, 2022)

Forward and inverse modeling of fault transmissibility in subsurface flows. - Jeonghun J. Lee; Tan Bui-Thanh; Umberto Villa; Omar Ghattas (Comput. Math. Appl., 2022)

Mining the manifolds of deep generative models for multiple data-consistent solutions of ill-posed tomographic imaging problems. - Sayantan Bhadra; Umberto Villa; Mark A. Anastasio (CoRR, 2022)

A Memory-Efficient Self-Supervised Dynamic Image Reconstruction Method Using Neural Fields. - Luke Lozenski; Mark A. Anastasio; Umberto Villa (IEEE Trans. Computational Imaging, 2022)

Technical Note: PDE-constrained Optimization Formulation for Tumor Growth Model Calibration. - Baoshan Liang; Luke Lozenski; Umberto Villa; Danial Faghihi (CoRR, 2023)

Parallel Element-Based Algebraic Multigrid for ( boldsymbol{H} ) (curl) and ( boldsymbol{H} ) (div) Problems Using the ParELAG Library. - Delyan Z. Kalchev; Panayot S. Vassilevski; Umberto Villa (SIAM J. Sci. Comput., 2023)

hIPPYlib-MUQ: A Bayesian Inference Software Framework for Integration of Data with Complex Predictive Models under Uncertainty. - Ki-Tae Kim; Umberto Villa; Matthew D. Parno; Youssef M. Marzouk; Omar Ghattas; Noemi Petra (ACM Trans. Math. Softw., 2023)

Bayesian Inference of Tissue Heterogeneity for Individualized Prediction of Glioma Growth. - Baoshan Liang; Jingye Tan; Luke Lozenski; David A. Hormuth; Thomas E. Yankeelov; Umberto Villa; Danial Faghihi (IEEE Trans. Medical Imaging, 2023)

Ideal Observer Computation by Use of Markov-Chain Monte Carlo With Generative Adversarial Networks. - Weimin Zhou; Umberto Villa; Mark A. Anastasio (IEEE Trans. Medical Imaging, 2023)

Democratizing Uncertainty Quantification. - Linus Seelinger; Anne Reinarz; Mikkel Bue Lykkegaard; Amal Mohammed A. Alghamdi; David Aristoff; Wolfgang Bangerth; Jean Bénézech; Matteo Diez; Kurt Frey; John D. Jakeman; Jakob Sauer Jørgensen; Ki-Tae Kim; et al. (CoRR, 2024)

A note on the relationship between PDE-based precision operators and Matérn covariances. - Umberto Villa; Thomas O'Leary-Roseberry (CoRR, 2024)

Physics and Deep Learning in Computational Wave Imaging. - Youzuo Lin; Shihang Feng; James Theiler; Yinpeng Chen; Umberto Villa; Jing Rao; John James Greenhall; Cristian Pantea; Mark A. Anastasio; Brendt Wohlberg (CoRR, 2024)

Optimizing Quantitative Photoacoustic Imaging Systems: The Bayesian Cramér-Rao Bound Approach. - Evan Scope Crafts; Mark A. Anastasio; Umberto Villa (CoRR, 2024)

Learning a Filtered Backprojection Reconstruction Method for Photoacoustic Computed Tomography with Hemispherical Measurement Geometries. - Panpan Chen; Seonyeong Park; Refik Mert Çam; Hsuan-Kai Huang; Alexander A. Oraevsky; Umberto Villa; Mark A. Anastasio (CoRR, 2024)

SOUPy: Stochastic PDE-constrained optimization under high-dimensional uncertainty in Python. - Dingcheng Luo; Peng Chen 024; Thomas O'Leary-Roseberry; Umberto Villa; Omar Ghattas (J. Open Source Softw., 2024)

ProxNF: Neural Field Proximal Training for High-Resolution 4D Dynamic Image Reconstruction. - Luke Lozenski; Refik Mert Çam; Mark D. Pagel; Mark A. Anastasio; Umberto Villa (IEEE Trans. Computational Imaging, 2024)

Learned Full Waveform Inversion Incorporating Task Information for Ultrasound Computed Tomography. - Luke Lozenski; Hanchen Wang 003; Fu Li; Mark A. Anastasio; Brendt Wohlberg; Youzuo Lin; Umberto Villa (IEEE Trans. Computational Imaging, 2024)

Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning. - Thomas O'Leary-Roseberry; Peng Chen 024; Umberto Villa; Omar Ghattas (J. Comput. Phys., 2024)

Democratizing uncertainty quantification. - Linus Seelinger; Anne Reinarz; Mikkel Bue Lykkegaard; Robert Akers; Amal Mohammed A. Alghamdi; David Aristoff; Wolfgang Bangerth; Jean Bénézech; Matteo Diez; Kurt Frey; John D. Jakeman; Jakob Sauer Jørgensen; et al. (J. Comput. Phys., 2025)

Full-Wave Image Reconstruction in Transcranial Photoacoustic Computed Tomography Using a Finite Element Method. - Yilin Luo; Hsuan-Kai Huang; Karteekeya Sastry; Peng Hu; Xin Tong; Joseph Kuo; Yousuf Abo Rahama; Shuai Na; Umberto Villa; Mark A. Anastasio; Lihong V. Wang (IEEE Trans. Medical Imaging, 2025)

Can Diffusion Models Provide Rigorous Uncertainty Quantification for Bayesian Inverse Problems? - Evan Scope Crafts; Umberto Villa (CoRR, 2025)

Predictive Digital Twins with Quantified Uncertainty for Patient-Specific Decision Making in Oncology. - Graham Pash; Umberto Villa; David A. Hormuth II; Thomas E. Yankeelov; Karen Willcox (CoRR, 2025)