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Special Colloquium: Fokker-Planck Equations and Machine Learning

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Mar 1, 2022   4:00 - 5:00 pm  
Speaker
Yuhua Zhu (Stanford University)
Contact
Jared Bronski
E-Mail
bronski@illinois.edu
Phone
650-200-6349
Views
19

Abstract: As the continuous limit of many discretized algorithms, PDEs can provide a qualitative description of algorithm's behavior and give principled theoretical insight into many mysteries in machine learning. In this talk, I will give a theoretical interpretation of several machine learning algorithms using Fokker-Planck (FP) equations. In the first one, we provide a mathematically rigorous explanation of why resampling outperforms reweighting in correcting biased data when stochastic gradient-type algorithms are used in training. In the second one, we propose a new method to alleviate the double sampling problem in model-free reinforcement learning, where the FP equation is used to do error analysis for the algorithm. In the last one, inspired by an interactive particle system whose mean-field limit is a non-linear FP equation, we develop an efficient gradient-free method that finds the global minimum exponentially fast. 

Zoom Link:  https://illinois.zoom.us/j/88665020956?pwd=bWRqRDAzbmpBdzMzbG5CN0trQWdBUT09

If you are interested in talking with Yuhua during her virtual visit  please contact her host, Jared Bronski. In particular there will be a virtual lunch from 1:00-2:00pm central time at https://illinois.zoom.us/j/84555155062?pwd=bVJpVEdubXVaNUg1R3ZIVnBXdzBFdz09 — feel free to drop in for the whole hour or just a few minutes.

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