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Notes

“Magic is really very simple, all you’ve got to do is want something and then let yourself have it.”

– Aggie Cromwell from Halloweentown

Below are some notes that I typesetted for less formal presentations, e.g., in class or research group meetings.

Caution: there are certainly mistakes (typographical or otherwise). Feel free to contact me if you’d like to see them corrected :)

Graduate

• This is a group meeting presentation I did on diffusion models for generative modeling.
• This is a subset of the topics covered in areading course (under Prof. Paul Dupuis) over the summer on stochastic analysis.
• Here’s a set of (very incomplete) notes on large deviations theory. The reading course was made possible by the guidance of Prof. Paul Dupuis and companion of Will (Yaochen) Zhu.

Undergrad

• Here’s the basics of Markov Chain, Monte Carlo, and Markov Chain Monte Carlo. We covered Markov chain mixing, psuedorandomness, and two MCMC algorithms (Metropolis-Hastings and Glauber dynamics).
• There was a version of non-measure-theoretic stochastic processes in preparation, but there are just so much more to learn. To put something up for the sake of uploading, here’s a (very) incomplete version up.