Suggestion of a topic for a Statistical Mechanics project

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The discussion centers on a graduate-level Statistical Physics project focusing on phase transitions, with a particular interest in intersecting artificial intelligence and neuroscience. The project, which constitutes 15% of the final grade, should draw from specific subsections of a referenced textbook, excluding the first three chapters. The participant is seeking project ideas, specifically ones that could evolve into future research opportunities. One potential idea mentioned is exploring an Ising model on a graph. The conversation encourages sharing of concrete project suggestions and relevant resources.
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Hi friends,

I have to do a semester project (analytic, computational, or both) for my second course in Statistical Physics - a graduate level course with great emphasis on phase transitions. It will be graded just 15% of the final grade (so, it is not necessary to elaborate exhaustively) and it should consist of some subject related with one of the subsections of this book https://books.google.pt/books?id=cc3pApnX3kYC&lpg=PP1&hl=pt-PT&pg=PR7#v=onepage&q&f=false , excluding chapters 1 to 3.

Now, I've been getting progressively interested in the subject of artificial intelligence (and also neuroscience) and I would like to find a project in which I could more or less intersect AI with Statistical Mechanics and explore some system. The problem is I don't have many ideas. Could you think of some project that I could do? And if so could you go even further and suggest me something in which I could build on and keep exploring and expanding into some research project in the future?

Something that came to my mind was to explore an ising model on a graph.

Whatever you can tell me about some of these thoughts would be nice. Thanks in advance.
 
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