Coupled reduced order model and adjoint methodologies for proton therapy
Applied Physics | Applied Mathematics
Development of Specialized Nonlinear Inversion Algorithms, Basis Functions, Eikonal Solvers, and Their Integration for U...
Many approaches and packages have been developed for tomographic inversion of seismic data and have consistently remained in high demand in both academic and industrial geophysics for subsurface imaging. However, our survey of published implementations has shown them to suffer from shortcomings. They include: low computational efficiency leading to...
Frozen Gaussian Approximation for Elastic Waves, Seismic Inversion and Deep Learning
The frozen Gaussian approximation (FGA) is an efficient solver for high frequency wave propagation. This work is to generalize the FGA to solve the 3-D elastic wave equation and use it as the forward modeling tool for seismic tomography with high-frequency initial datum. The evolution equation is derived by weak asymptotic analysis in conjunction w...
Uncertainty Estimation in Continuous Models applied to Reinforcement Learning
We consider the model-based reinforcement learning framework where we are interested in learning a model and control policy for a given objective. We consider modeling the dynamics of an environment using Gaussian Processes or a Bayesian neural network. For Bayesian neural networks we must define how to estimate uncertainty through a neural network...
Enhancing Ground Penetrating Radar Signals Through Frequency Compositing
In this dissertation, we explore methods to combine multiple frequency Ground Penetrating Radar (GPR) signals in a manner to improve the resolution of images of deeply buried targets. We propose using an optimization problem solver to combine multiple GPR frequency scans over the same area to improve image resolution. First, we discuss GPR basics. ...
The Structure of Inverse Problems and Unnormalized Optimal Transport
In this thesis we consider the solution of inverse problems, especially the components of a numerical inversion, and detection of forward operator error by the use of an extension optimal transport that accepts unnormalized arguments. We improve the inversion in wingen2015regularization in both speed and quality of reconstruction and motivated by t...
Volatility Estimation Methods for High-Frequency and Bivariate Open, Close, High, Low Prices
Statistical models of price volatility most commonly use low-frequency (daily, weekly, or monthly) returns. However, despite their availability, two types of financial data have not been extensively studied: high-frequency data where sampling periods are on the order of seconds; and open, close, high, and low (OCHL) data which incorporate intraperi...
Computational Modeling and Mechanistic Elucidation of the Complement System Under Homeostasis, Disease, and Therapeutic ...
The complement system is a major part of the innate immune system that targets invading pathogens and assists in maintaining host homeostasis. Complement is composed of three pathways known as alternative (AP), classical (CP), and lectin (LP) that work in concert to mediate an immune response. Although activation of the complement system is tightly...
En studie på relationen mellan en fonds riskjusterade avkastning och hållbarhetsbetyg : Presterar hållbara fonder bättre...
Under de senaste årtionden har hållbara investeringar ökat och på senare tid även blivit en väletablerad investeringsstrategi. Då tidigare studier inom området uppvisat motstridiga resultat gällande hur effektiv denna strategi är inom värdeskapande, fokuserar denna rapport på att klargöra ifall hållbara alternativt vanliga fonder är fördelaktiga ut...
Applications of Uncertainty Quantification to Coagulation Biology
Blood coagulation is a complex system comprised of numerous biochemical reactions. Due to this complexity, mathematical modeling has been used to increase the overall understanding of the system as a whole, determine previously unknown mechanisms, and to predict system responses. These models, however, may involve uncertainty in both parameter valu...
