Hi, This is Shizhou Xu
A place to share my study process in Applied Math & Probability
Feature Extraction and Link Prediction via Regular Partitions
The following is my currently working paper on relational data analysis:
Feature Extraction and Link Prediction via Regular Partitions
The preliminary results include a theoretical guarantee of general stochastic block model community recovery, an algorithm for extraction of features that induce connectivity patterns, and an algorithm forms link prediction using the extracted features.
My work in the Limit Theorem II class at Courant
I am really grateful to my favorite professor at Courant, Yuri Bakhtin. I did not know what is probability until taking his Basic Probability and the Limit Theorems II class. The following documents are my answers to his homework questions for the Limit Theorems II in Spring 2018. The questions can be found here: https://cims.nyu.edu/~bakhtin/prob-lim-th-2-2018.pdf
Operator-Theoretical Treatment of Ergodic Theorem and Its Application to Dynamic Models in Economics
The following is my work on the application of ergodic theorems to a general Markov evolution model setting in Economics:
Operator-Theoretical Treatment of Ergodic Theorem and Its Application to Dynamic Models in Economics