TDA Mapper Project
Project HW 1 (Due 1/24) -- 5 points
Download a data set and answer the following questions:
- a.) Where did you get your data?
- b.) Briefly describe your data
- c.) What format is your data in (eg excel, text, etc.)?
- d.) How many data points are in your data set?
- e.) Does your data live in a fixed dimension and if so, what is that dimension?
Project HW 2 (Due 1/26) -- 10 points
Draft of slides describing a clustering method.
Project HW 3 (Due 2/2) -- 10 points
Write a 2-5 page description of a clustering method (include R command(s)).
Project HW 4 (Due 2/7) -- 10 points
Slides describing a clustering method.
Project HW 4 (Due 2/7) -- 10 points
Slides describing TDA mapper.
Project HW (Due 2/17)
Intro draft including 2, 8, 10
Project HW (due 3/23) -- 30 points
2 well-written pages plus comments from the Writing Center
Project HW (due 4/4) -- 100 points
Draft of your project which should be at least 50% done.
Project due 4/25 (200 - 500 pts)
Draft of project slides due 4/30 (50 pts)
Project HW (due 5/5)
Outside presentation (25 - 100 pts each for up to 300 pts total)
Researchers present their work at conferences. You should too. Find one that interests you and submit an abstract for either a talk or a poster. Travel funds may be available to cover your travel costs. You may present your work at a research conference, an undergraduate research conference, seminar, record a video podcast etc., either off-campus or on.
Some conference at (or related to) UI:
One can also give a seminar at UI or a public talk.
Some conferences outside of UI:
Funding to travel to conferences is often available by applying to the conference organizers. UI also has funds available:
If you are collaborating with someone, you should decide as a group how the work
will be divided and what you would like to accomplish. I will not require that you finish all (or even most
parts), but your collaborators can. The following is one potential project outline, but you may follow any
journal format you prefer. Note that while the ideal paper would include
all of the
following, even published
papers do not include all of the following. You
and your collaborators will need to decide what to include.
NOTE: Even published
papers do not include all (or even most) of the following. You
and your collaborators will need to decide what to include.
- Abstract.
-
Introduction: Briefly introduce the problem, techniques, and outline the paper. Try to use as few technical
terms as possible (or reference section where defined).
- Background
- Problem description:
Fully describe the problem. Describe how the data is created, what is its format, what are issues that one
should consider (for example are their different types of noise), etc. Please keep in mind that people from a
variety of backgrounds may be interested in your article, so please help them understand your data. Deeper
mathematics can be applied if more people have a better understanding of the problem.
- Mathematical
background:
One can reference appropriate papers that describe the methods used in your paper or you can
provide the background yourself. Including motivation specific to your problem would be particularly helpful.
- Results
- Data analysis.
In either the results or discussion section, motivate your choice of software. Software often requires one to
choose various values
for different parameters. Motivate your parameter choices. Are these choices robust (for example, does one get
similar results for different choices of parameter values).
- Discussion
- Conclusion
- Acknowledgement
You should acknowledge anyone who has provided significant feedback. If you publish the results of your project,
please acknowledge this course. If I provide you with significant helpful feedback, you are also welcome to
acknowledge me.
- Author contribution
Summarize who contributed what to the paper (who designed, computed, analyzed, wrote, etc.).
- Funding sources and conflicts of interest
- References
This is a very important part of your paper. It lets the reader know where to find additional
information. One is also required to reference other people's ideas, analysis, conclusions, figures, etc (even if
modified, reworded, or redrawn).
Using other people's work without acknowledgment constitutes plagerism. For figures,
one may also need to obtain copyright permission if you submit your paper for publication, and redrawing a figure may be
discouraged.
If you prefer to write software, there are many other types of potential projects.