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Presenter: |
McKinzie Fruchtl |
| Title: |
Metabolic flux analysis via linear programming |
| Presentation: | Tue 1 Apr, 4:00pm, MCRey 317 |
| Abstract: |
Metabolic flux analysis (MFA) involves the mathematical
analysis of metabolic processes that occur within biological
cells. It utilizes a constraints-based approach, where
these constraints can limit the behavior of a particular
cell. MFA uses optimality principles to predict cellular
growth under given conditions. Through the use of linear
programming, these optimization problems can be solved. In
the event that external constraints become dominant
influences on cellular behavior, regulation can be
incorporated into the linear programming problem using
Boolean logic. The importance of MFA is observed in the
engineering industry. It can be used to reduce contaminants
in certain compounds, thus reducing costs via time and
purification methods. |
| Advisor: |
Dr. Duff Campbell |
| |
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Presenter: |
David Gould |
| Title: |
Fragmentation and recognition of playing card faces |
| Presentation: | Wed 2 Apr, 5:00pm, MCRey 317 |
| Abstract: |
The use of artificial intelligence in web-based poker
clients is dependent upon accurate real-time collection of
image data from a poker table window. Current image matching
techniques are susceptible to corruption by even minor
perturbations of the images. Basic OCR contour analysis
techniques are used to examine example images of playing
card faces. Card color and image location within the table
window are ignored, the primary focus being the relations of
contours to their bounding boxes and to one another. The end
goal is to find a more robust method of gathering image data,
which is resistant to dynamic image changes. |
| Advisor: |
Dr. Dwayne Collins |
| |
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Presenter: |
Daniel Levy |
| Title: |
Fuzzy Q-learning |
| Presentation: | Wed 2 Apr, 4:30pm, MCRey 317 |
| Abstract: |
Q-learning is a machine learning algorithm which stores
predicted reward values for performing actions from states
in an N+1-dimensional matrix, one dimension out
of N for each mutually-exclusive set of states, plus
one dimension for the actions. With finer granularity in
states comes an exponential increase in the number of values
in the matrix. Fuzzy logic is a mathematical field which
extends Boolean logic to real numbers in [0,1]. Presented
is an algorithm augmenting Q-learning with fuzzy logic in
which the the number of values in the matrix can be reduced,
using a coarser granularity per state without decreasing the
algorithm's learning potential. This modified Q-learning
was tested in the domain of single-player Pong. |
| Advisor: |
Dr. Gabe Ferrer |
| |
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Presenter: |
Zach Person |
| Title: |
Modeling with difference and differential equations
in neoclassical growth theory |
| Presentation: | Tue 1 Apr, 4:30pm, MCRey 317 |
| Abstract: |
This project will investigate the foundations of
Neoclassical Growth Theory and the idea of equilibrium
analysis used in interpreting a single output market. The
models explored in this project will be derived in two ways.
The first will be developed over continuous time. Analysis
of this construction involves the use of differential
equations. The second and less common derivation utilized
discrete time and therefore requires difference equations.
Since a fair portion of Neoclassical theory is concerned
with how equilibrium exists and how it reacts to certain
shocks, influences such as changes in saving and technology
will be investigated. The goal is to see if one method will
offer anything unique from the other. |
| Advisor: |
Dr. Dwayne Collins |
| |
 |
Presenter: |
Henry Phillips |
| Title: |
An analysis of degree-6 electrical networks |
| Abstract: |
In an electrical network there is often the concern of
knowing what the effective resistance from the source of
the network to the sink. The resistance in a network is a
measure of just how poorly the network conducts electricity.
This project is an examination of electrical networks where
every vertex in the network, except for those on the boundary,
has degree 6. It is examined whether or not as the size of
the network approaches infinity, if the effective resistance
from source to sink approaches infinity, or if it converges
to a value. |
| Presentation: | Tue 1 Apr, 5:00pm, MCRey 317 |
| Advisor: |
Dr. Bill Wood |
| |
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Presenter: |
Mandy Thomas |
| Title: |
Art and computers |
| Presentation: | Wed 2 Apr, 4:00pm, MCRey 317 |
| Advisor: |
Dr. Carl Burch |
| |
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Presenter: |
Jeanette Reyes |
| Title: |
Chromatic polynomials |
| Presentation: | Tue 1 Apr, 5:30pm, MCRey 317 |
| Abstract: |
This project explores the relationship between graphs
and polynomials through their respective chromatic
polynomials. Graphs with similar characteristics were
grouped into families and generated. All graphs up to seven
vertices were found by partitioning their total degree sums.
All chromatic polynomials were found up to five vertices
with the help of P numbers. Relationships were explored
between certain family graphs and polynomials in order to
generalize the polynomials for a certain number of vertices.
All the chromatic polynomials were found to have certain
characteristics in common. These characteristic were
explored and proved through a series of theorems. |
| Advisor: |
Dr. Duff Campbell |
| |