Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: A review

A Alexanderian - Inverse Problems, 2021 - iopscience.iop.org
We present a review of methods for optimal experimental design (OED) for Bayesian inverse
problems governed by partial differential equations with infinite-dimensional parameters …

Computational toolkits for model-based design and optimization

DT Agi, KD Jones, MJ Watson, HG Lynch… - Current Opinion in …, 2024 - Elsevier
Highlights•Systematically review 82 model-based design (MBD) toolkits.•Dynamic,
multiscale, and interdisciplinary grand challenges drive software trends.•Organize MBD …

Data-driven discovery of closure models

S Pan, K Duraisamy - SIAM Journal on Applied Dynamical Systems, 2018 - SIAM
Derivation of reduced order representations of dynamical systems requires the modeling of
the truncated dynamics on the retained dynamics. In its most general form, this so-called …

Exploiting occlusion in non-line-of-sight active imaging

C Thrampoulidis, G Shulkind, F Xu… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
Active non-line-of-sight imaging systems are of growing interest for diverse applications. The
most commonly proposed approaches to date rely on exploiting time-resolved …

A direct method to identify Young's moduli and boundary conditions of the heterogeneous material

T Xu, M Li, Z Wang, Y Hu, S Du, Y Lei - International Journal of Mechanical …, 2025 - Elsevier
Identifying unknown Young's moduli and boundary conditions of the heterogeneous material
using locally observed boundary data is the inverse problem which is generally solved by …

Optimal design of large-scale nonlinear Bayesian inverse problems under model uncertainty

A Alexanderian, R Nicholson, N Petra - Inverse Problems, 2024 - iopscience.iop.org
We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems
governed by partial differential equations (PDEs) under model uncertainty. Specifically, we …

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 …, 2021 - SIAM
We consider optimal design of infinite-dimensional Bayesian linear inverse problems
governed by partial differential equations that contain secondary reducible model …

Differential equations in data analysis

I Dattner - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Differential equations have proven to be a powerful mathematical tool in science and
engineering, leading to better understanding, prediction, and control of dynamic processes …

[PDF][PDF] Dynamic graph based epidemiological model for COVID-19 contact tracing data analysis and optimal testing prescription

S Ubaru, L Horesh, G Cohen - arXiv preprint arXiv:2009.04971, 2020 - researchgate.net
In this study, we address three important challenges related to the COVID-19 pandemic,
namely,(a) providing an early warning to likely exposed individuals,(b) identifying …

[HTML][HTML] Dynamic graph and polynomial chaos based models for contact tracing data analysis and optimal testing prescription

S Ubaru, L Horesh, G Cohen - Journal of biomedical informatics, 2021 - Elsevier
In this study, we address three important challenges related to disease transmissions such
as the COVID-19 pandemic, namely,(a) providing an early warning to likely exposed …