Math 4v91: Topological Data
Analysis
Fall
2022
FO
2.208 / TTh 4 – 5:15pm
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Instructor: |
Baris
Coskunuzer / FA 2.410 / coskunuz@utdallas.edu |
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Office Hours: |
Tuesday,
Thursday 2-3pm |
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Textbooks: |
Topological
Data Analysis with Applications
by G. Carlsson & M. Vejdemo-Johansson Computational
Topology for Data Analysis by
Tamal Dey & Yusu Wang |
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Prerequisites: |
Math 2418 or
CS 3305 |
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Content |
Topological
Data Analysis (TDA) is a recent and fast growing field providing a set of new
topological and geometric tools to infer relevant patterns and features for
various forms of complex data. In this course, we will give a friendly
introduction to the subject and introduce the key methods. We start with a
visual introduction to topology. Then, we cover persistent homology,
nonlinear dimension reduction with Reeb graphs and mapper techniques and
their applications in different domains. |
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Projects: |
There will be
projects suitable for students in both CS major and Math/Data Science major.
For students with coding background, projects will cover some hands-on TDA
applications in real life data, while students without coding skills will
present important papers in the subject. |
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Grading: |
Midterm Exam 20% + Final Exam 40% + Project 40% |
Student
Projects:
1. Classification of
Lymph Node Metastases by David Brodsky
2. Colon Cancer Detection
with Histopathological Images by William Croom
3. White Blood Cell
Classification with TDA by Hamza Daruger
4. Melanoma Detection
with TDA by Anupa Desai
5. Graph Classification
with TDA (IMDB) by Jack Myrick
6. Age Prediction from
fMRI data by Jamie Padilla (Theoretical)
7. Pneumonia
Classification from Chest XRays by Prachi Patel