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Markov chain Monte Carlo with neural network surrogates: Application to contaminant source identification
Subsurface remediation often involves reconstruction of contaminant release history from
sparse observations of solute concentration. Markov Chain Monte Carlo (MCMC), the most …
sparse observations of solute concentration. Markov Chain Monte Carlo (MCMC), the most …
Data-driven discovery of coarse-grained equations
Statistical (machine learning) tools for equation discovery require large amounts of data that
are typically computer generated rather than experimentally observed. Multiscale modeling …
are typically computer generated rather than experimentally observed. Multiscale modeling …
Thermal experiments for fractured rock characterization: theoretical analysis and inverse modeling
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 …
yet methodologies for identification of the statistical parameters of a discrete fracture network …
Deep learning for simultaneous inference of hydraulic and transport properties
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 …
release history are key aspects of subsurface remediation. These two goals are achieved by …
Feature-informed data assimilation
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 …
FIDA, the information about feature events, such as shock waves, level curves, wavefronts …
Fast and accurate estimation of evapotranspiration for smart agriculture
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 …
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
Evapotranspiration is arguably the least quantified component of the hydrologic cycle. We
propose two complementary strategies for estimation of evapotranspiration rates and root …
propose two complementary strategies for estimation of evapotranspiration rates and root …
Information geometry of physics-informed statistical manifolds and its use in data assimilation
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 …
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 …
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
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 …
true probabilities of uncertain inputs and random quantities of interest (QoIs). When …