Markov chain Monte Carlo with neural network surrogates: Application to contaminant source identification

Z Zhou, DM Tartakovsky - Stochastic Environmental Research and Risk …, 2021 - Springer
Subsurface remediation often involves reconstruction of contaminant release history from
sparse observations of solute concentration. Markov Chain Monte Carlo (MCMC), the most …

Data-driven discovery of coarse-grained equations

J Bakarji, DM Tartakovsky - Journal of Computational Physics, 2021 - Elsevier
Statistical (machine learning) tools for equation discovery require large amounts of data that
are typically computer generated rather than experimentally observed. Multiscale modeling …

Thermal experiments for fractured rock characterization: theoretical analysis and inverse modeling

Z Zhou, D Roubinet… - Water Resources …, 2021 - Wiley Online Library
Field‐scale properties of fractured rocks play a crucial role in many subsurface applications,
yet methodologies for identification of the statistical parameters of a discrete fracture network …

Deep learning for simultaneous inference of hydraulic and transport properties

Z Zhou, N Zabaras… - Water Resources …, 2022 - Wiley Online Library
Identification of a heterogeneous conductivity field and reconstruction of a contaminant
release history are key aspects of subsurface remediation. These two goals are achieved by …

Feature-informed data assimilation

A Srivastava, W Kang, DM Tartakovsky - Journal of Computational Physics, 2023 - Elsevier
We introduce a mathematical formulation of feature-informed data assimilation (FIDA). In
FIDA, the information about feature events, such as shock waves, level curves, wavefronts …

Fast and accurate estimation of evapotranspiration for smart agriculture

W Li, DM Tartakovsky - Water Resources Research, 2023 - Wiley Online Library
The ability to quantify evapotranspiration (ET) is crucial for smart agriculture and sustainable
groundwater management. Efficient ET estimation strategies often rely on the vertical‐flow …

Estimation of evapotranspiration rates and root water uptake profiles from soil moisture sensor array data

W Li, HM Wainwright, Q Yan, H Zhou… - Water Resources …, 2021 - Wiley Online Library
Evapotranspiration is arguably the least quantified component of the hydrologic cycle. We
propose two complementary strategies for estimation of evapotranspiration rates and root …

Information geometry of physics-informed statistical manifolds and its use in data assimilation

F Boso, DM Tartakovsky - Journal of Computational Physics, 2022 - Elsevier
The data-aware method of distributions (DAMD) is a low-dimensional data assimilation
procedure to forecast the behavior of dynamical systems described by differential equations …

Information geometry and Bose–Einstein condensation

P Pessoa - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
It is a long held conjecture in the connection between information geometry (IG) and
thermodynamics that the curvature endowed by IG diverges at phase transitions. Recent …

Dynamics of data-driven ambiguity sets for hyperbolic conservation laws with uncertain inputs

F Boso, D Boskos, J Cortés, S Martínez… - SIAM Journal on …, 2021 - SIAM
Ambiguity sets of probability distributions are used to hedge against uncertainty about the
true probabilities of uncertain inputs and random quantities of interest (QoIs). When …