# About me

I'm a PhD candidate in the Department of Mathematical Sciences at Carnegie Mellon University. My advisor is Gautam Iyer . My interest lies in applied math, including mixing, fluid PDEs and analysis of algorithms in machine learning.

# Education

2013-present. PhD candidate in Mathematics. Carnegie Mellon University.

2008-2013. Mathematics. B.S. Tsinghua University, Beijing.

# Preprints

Dissipation Enhancement by Mixing

Y. Feng, G. Iyer. Submitted

# Publications

Semi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

Y. Feng, L. Li, J. Liu

*Communications in Mathematical Sciences*2018. Vol. 16. JournalContinuous and discrete one dimensional autonomous fractional ODEs

Y. Feng, L. Li, J. Liu, X. Xu

*. Discrete & Continuous Dynamical Systems - B*2018. Vol. 23. Issue 8.JournalA note on one-dimensional time fractional ODEs

Y. Feng, L. Li, J. Liu, X. Xu

*Applied Mathematics Letters*2018. Vol. 83. Journal# Teaching

## CMU

- MATH 21-269 - Vector Analysis, Fall 2016
- MATH 21-120 - Calculus 1, Fall 2017
- MATH 21-120 - Calculus 1, Spring 2018
- MATH 21-120 - Calculus 1, Fall 2018