Browsing Auburn Theses and Dissertations by Author "Glotov, Dmitry"

Now showing items 1-8 of 8

Applications of Stochastic Gradient Descent for Optimization of Complex Systems with Uncertainty

Das, Somak (2021-07-27)

The Stochastic Gradient Descent (SGD) method in all its variations has gained popularity with the recent progress in Machine learning. In this dissertation we implement and analyze two modifications of the SGD method. In ...

Defining Chaos

Rock, Brittany (2017-07-26)

This thesis is a study of the paper "Defining chaos" by Brian Hunt and Edward Ott [1] with added details to make arguments easier to follow. They introduced a new entropy-based definition of chaos called expansion entropy. ...

Defining Chaos

Rock, Brittany (2017-07-18)

This thesis is a study of the paper “Deﬁning Chaos” by Brian Hunt and Edward Ott [1] with added details to make arguments easier to follow. They introduced a new entropy based deﬁnition of chaos called expansion entropy. ...

Hardy space associated with flag-type singular integrals of three parameters

Long, Yang (2020-07-21) ETD File Embargoed

The main purpose of this thesis is to establish a Hardy space theory associated with the flag-type singular integrals on Euclidean space. This theory is a continuation of those the classical one parameter, product setting ...

Interior Backus Problem with Expanded Data

Zheng, Yuxiang (2019-12-09)

We consider a special formulation of the Backus geomagnetic problem in two and higher dimension. Given a domain $\Omega \subset \mathbb{R}^n$, we seek to determine whether there exists a unique harmonic function $u$ ...

Inverse source problem and inverse diffusion coefficient problem for parabolic equations with applications in geology

Ngoma, Sedar (2017-07-26)

This dissertation deals with inverse problems for parabolic partial differential equations with an integral constraint and their applications in geology. We employ analytical and numerical methods to analyze and approximate ...

Numerical Modeling of Electromagnetic Wave Scattering by Layered Random Surfaces

Ulmer, Kelsey (2020-12-01)

We present an efficient numerical method for modeling the scattering of electromagnetic fields by a multiply layered medium with random interfaces. We propose a combination of the Monte Carlo-Transformed Field Expansion ...

Upper Bounds on the Coarsening Rates for Some Non-Conserving Equations

Jiang, Nan (2012-08-02)

In this thesis, we prove one-sided bounds on the coarsening rates for two models of non-conserved curvature driven dynamics by following a strategy developed by Kohn and Otto in [20]. In the rst part, we analyze the ...