Browsing Applied mathematics by Title
Now showing items 109-117 of 117
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Uncertainty Quantification Problems in Tsunami Modeling and Reduced Order Models for Hyperbolic Partial Differential Equations
In this thesis, we consider an uncertainty quantification (UQ) problem that arises from tsunami modeling, namely the probabilistic tsunami hazard assessment (PTHA) problem. The goal of PTHA is to compute the probability ... -
Understanding Variational Autoencoders and Disentanglement Metrics
In this thesis, we conduct a thorough study of "Variational Autoencoders". We explain the limitations of ``supervised learning" and emphasize the need for ``generative models" to solve complex problems. Variational Autoencoder ... -
Value function approximation methods for Linearly-solvable Markov Decision Process
(2014-02-24)Optimal control provides an appealing machinery to complete complicated control tasks with limited prior knowledge. Both global methods and online trajectory optimization methods are powerful techniques for solving optimal ... -
Variability in Modified Estimators of VaR and ES
Modified Value-at-Risk (mVaR) and Modified Expected Shortfall (mES) are risk estimators that can be calculated without modelling the distribution of asset returns. These modifided estimators use skewness and kurtosis ... -
Verification of cloud production in the Community Atmosphere Model: A comparison of two data assimilation techniques
Clouds play an important role in regulating our climate, and it is vital that we are able to accurately simulate them in global climate models. Data assimilation can be used to force the model towards simulating a specific ... -
Vortex Dynamics of Geostrophically Adjusted Density Perturbations in Triply-Periodic Models of Stratified Incompressible Fluids
(2013-02-25)A model exploring contributions to lateral dispersion in the oceanic submesoscale is presented. Well-mixed patches of fluid, produced by turbulent mixing events, are geostrophically adjusted to create compound vortices. ... -
Vortex Dynamics of Geostrophically Adjusted Density Perturbations in Triply-Periodic Models of Stratified Incompressible Fluids
(2012-09-13)A model exploring contributions to lateral dispersion in the oceanic submesoscale is presented. Well-mixed patches of uid, produced by turbulent mixing events, are geostrophically adjusted to create compound vortices. ... -
Wave propagation algorithms for multicomponent compressible flows with applications to volcanic jets
(2005)Numerical algorithms are developed for compressible multicomponent flow problems in the framework of wave propagation finite volume methods based on approximate Riemann solvers. Both models for multifluid flows, which ... -
Wavelet-spectral analysis and large-eddy simulation using neural networks of droplet-laden decaying isotropic turbulence
In this work, we propose new methods for both the analysis and simulation of droplet-laden isotropic turbulence. First, we suggest using the wavelet energy spectrum to study multiphase turbulent flows to overcome the ...