Welcome

Welcome

My name is Hoil Lee. I am a Ph.D. student in KAIST Dept of Mathematical Sciences. I study probability theory, and my advisor is Paul Jung.


Research interests

  • Probability theory – Infinite and finite exchangeability, random graphs and graph limits (graphons).
  • Statistical machine learning – Neural networks with heavy-tailed behavior.

Publications

  1. Hoil Lee, Fadhel Ayed, Paul Jung, Juho Lee, Hongseok Yang, and François Caron, “Deep neural networks with dependent weights: Gaussian Process mixture limit, heavy tails, sparsity and compressibility”, submitted (arXiv:2205.08187).
  2. Paul Jung, Hoil Lee, Jiho Lee, and Hongseok Yang, \alpha-Stable convergence of heavy-tailed infinitely-wide neural networks”, submitted (arXiv:2106.11064).

Talks

  • \alpha-Stable convergence of heavy-tailed infinitely-wide neural networks”, contributed talk, 2021 Korean Mathematical Society Annual meetings, October 2021, online.

Academic travels

  • Random Matrices and Related Topics, May 2019, KIAS, Seoul, Korea.
  • Conference in Honor of S. R. S. Varadhan’s 80th Birthday, June 2022, Jeju, Korea.
  • New tools for optimal mixing of Markov chains: Spectral independence and entropy decay, August 2022, UCSB, Santa Barbara, California.

Solutions Manual to Durrett’s Probability: Theory and Examples, 5th edition

Wonjun Seo, my dear freind in UC Davis statistics, and I are working on a project where we make solutions to every exercise problem in Durrett’s Probability: Theory and Examples, 5th edition. Here is the latest (incomplete) version of it. (Last updated on Sep. 9, 2021)

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