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Filtering by: Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics License All rights reserved Remove constraint License: All rights reserved

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Enhancing Facial Recognition: A Comparative Analysis of Image Preprocessing Techniques in PCA, KL Expansion and SVD

Creator:

Tuffour, Prince A.

Abstract:

Facial recognition has become increasingly important in recent years, due to the wide range of applications it has in fields such as security, surveillance, and human-computer interaction. Three popular methods for facial recognition are the Principal Component Analysis (PCA), Karhunen-Loeve Expansions, which is fundamentally a continuous form of PCA but...

Resource Type:

Capstone Project
Characterizing and Understanding Semiotic Representations in Combinatorics Problems

Creator:

De Chenne, Adaline E.

Abstract:

Combinatorics is a field of mathematics that concerns enumeration and existence, and its most notable applications are in computer science and statistics. Most students are introduced to combinatorics through counting problems, where they are tasked with determining the cardinality of a set of outcomes. Such problems are well-known for being...

Resource Type:

Dissertation
An inner product on adelic measures

Creator:

Oberly, Peter J.

Abstract:

We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...

Resource Type:

Dissertation
Arithmetic dynamical questions with local rationality conditions

Creator:

Noytaptim, Chatchai

Abstract:

We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...

Resource Type:

Dissertation
One-Parameter Deformations of the Bowen-Series Map Associated to Cocompact Triangle Groups

Creator:

Yiltekin-Karatas, Ayse

Abstract:

In 1979, for each signature for Fuchsian groups of the first kind, Bowen and Series constructed an explicit fundamental domain for one group of the signature, and from this a function on the unit circle tightly associated with this group. In general, their fundamental domain enjoys what has since been...

Resource Type:

Dissertation
On the Remaining Cases of the Kang Park Conjecture in Partition Theory

Creator:

Sturman, Leah

Abstract:

In 1956, Alder conjectured an integer partition inequality which generalized Euler’s partition identity, the first Rogers-Ramanujan identity, and a partition identity of Schur. Alder’s conjecture, proved in part by Andrews in 1971, followed by Yee in 2008, and finally completed by Alfes, Jameson, and Lemke Oliver in 2010 states that...

Resource Type:

Dissertation
Local Existence for a Non-local Multi-Species Advection-Diffusion Equation with Newtonian Potential

Creator:

Radke, Zachary

Abstract:

In biological models, advection is inherently a non-local process. Coupled with diffusion, it typically models chemotaxis, which is the response of bacteria to the presence of some chemo attractant. For example, E. coli cells use their flagella to probe their surroundings to determine where they should move. The advection-diffusion equation...

Resource Type:

Masters Thesis
On Invariant Galton-Watson Trees with Exponential Edge Lengths

Creator:

Xu, Guochen

Resource Type:

Dissertation
Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Creator:

Pantuso, Nicholas M.

Abstract:

Living in the Pacific Northwest, we are acutely aware of the dangers posed by wildfires. Largely due to the worsening effects of climate change, this danger is only increasing. Along with causing property and economic damage to those communities affected by wildfires, exposure to the smoke generated by wildfires can...

Resource Type:

Masters Thesis
Zeros of Replicable Functions

Creator:

Toomey, Benjamin J.

Abstract:

Following the work of Asai, Kaneko, and Ninomiya for Faber polynomials associated to the modular group, and Bannai, Kojima, and Miezaki's partial proof for the case of the Fricke group of level 2, we show that the zeros of certain modular functions for some low-level genus zero groups associated to...

Resource Type:

Dissertation

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Academic Affiliation

Mathematics[remove]143
Electrical Engineering and Computer Science1

Advisor

Peszynska, Malgorzata11
Bogley, William A.7
Schmidt, Thomas A.7
Beisiegel, Mary D.6
Bokil, Vrushali A.6
more Advisors »

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1991 to 2024

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Committee Member

Guo, Ren12
Petsche, Clayton12
Faridani, Adel11
Showalter, Ralph11
Dascaliuc, Radu9
more Committee Members »

Creator

Costa, Timothy B.2
Erickson, Sarah A.2
Gibbons, Claire J.2
Umhoefer, Joseph G.2
Al Hammali, Hussain Y.1
more Creators »

Contributor

Bokil, Vrushali1
Dascaliuc, Radu1
Gibson, Nathan L.1
Otto, Peter T.1
Swisher, Holly1
more Contributors »

Date

Date range begin – Date range end

Current results range from 1990 to 2023

View distribution

Decade

2020-202929
2010-201986
2000-200927
1990-19991

Degree Field

Mathematics141
Computer Science1
Mathematics Education1
Physics1

Degree Level

Doctoral100
Master's43

Degree Name

Doctor of Philosophy (Ph.D.)100
Master of Science (M.S.)42
Master of Arts (M.A.)1

File Format

application/pdf10
pdf1

Language

English [eng]143

License

All rights reserved[remove]143

Non-Academic Affiliation

Oregon State University. Graduate School92

Peer Reviewed

No137

Resource Type

Dissertation100
Masters Thesis42
Capstone Project1

Rights Statement

In Copyright143

Subject

Brownian motion processes4
Finite differences3
Finite element method3
Fluid dynamics -- Mathematical models3
Random fields3
more Subjects »

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