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Risk-Sensitive Stochastic Control and Differential Games
This thesis studies risk-sensitive stochastic optimal control and differential game problems.
First, we study risk-sensitive stochastic differential games for controlled reflecting
diffusion processes in a smooth bounded ...
Analyzing Credit Risk Models In A Regime Switching Market
(2016-04-25)
Recently, the financial world witnessed a series of major defaults by several institutions and investment banks. Therefore, it is not at all surprising that credit risk analysis have turned out to be one of the most important ...
Single and Multi-player Stochastic Dynamic Optimization
(2018-04-06)
In this thesis we investigate single and multi-player stochastic dynamic optimization prob-lems. We consider both discrete and continuous time processes. In the multi-player setup we investigate zero-sum games with both ...
Stochastic Differential Games In A Bounded Domain
(2012-11-21)
Learning Filters, Filterbanks, Wavelets and Multiscale Representations
The problem of filter design is ubiquitous. Frequency selective filters are used in speech/audio processing, image analysis, convolutional neural networks for tasks such as denoising, deblurring/deconvolution, enhancement, ...
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(2018-07-14)
Significant advancements in genome sequencing techniques and other high-throughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ...
A Multiscale Modeling Study of Iron Homeostasis in Mycrobacterium Tuberculosis
(2018-05-10)
Mycobacterium tuberculosis (M.tb), the causative agent of tuberculosis (TB), has remained the largest killer among infectious diseases for over a century. The increasing emergence of drug resistant varieties such as the ...
On Critical Points of Random Polynomials and Spectrum of Certain Products of Random Matrices
(2018-07-30)
In the first part of this thesis, we study critical points of random polynomials. We choose two deterministic sequences of complex numbers, whose empirical measures converge to the same probability measure in complex plane. ...
Inferences on Structure and Function of Proteins from Sequence Data : Development of Methods and Applications
(2018-07-23)
Structural and functional annotation of sequences of putative proteins encoded in the newly sequenced genomes pose an important challenge. While much progress has been made towards high throughput experimental techniques ...
Analysis of Proportional Navigation Class of Guidance Law against Agile Targets
(2017-12-12)
Guidance is defined as the determination of a strategy for following a nominal path in the presence of o-nominal conditions, disturbances and uncertainties, and the strategy employed is called a guidance law. Variants of ...