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You do a project only if you are registered for the graduate version, 6.833.
You do something interesting that is related to the subject, loosely defined. Then:
Projects can be, but are not limited to, any of the following types:
For example, you could redo the work reported in the Greenblatt and Vaina paper or the Borchardt paper. Of course, everyone seems to overestimate what they can do in a short time. On the other hand, if sufficient detail is given, and you are a good coder, this can be a lot of fun.
One way to generate ideas is to write all the paper names on slips of paper, put them in a hat, and draw two at a time, asking if they make any sense. A famous mathematician (who?) claims he does new mathematics in a roughly analogous fashion.
For example, you might draw the Rao paper and the Borchardt paper and ask if Borchardt's representation might be useful in describing Rao's routines.
If you get inspired and passionate about something, you might just find yourself with a real thesis proposal when you are done with this. After all, Dave Huffman discovered Huffman coding while doing a term paper in Bob Fano's information theory class.