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.
- Probability theory – Infinite and finite exchangeability, random graphs and graph limits (graphons).
- Statistical machine learning – Neural networks with heavy-tailed behavior.
- François Caron, Fadhel Ayed, Paul Jung, Hoil Lee, Juho Lee, and Hongseok Yang, “Over-parameterised Shallow Neural Networks with Asymmetrical Node Scaling: Global Convergence Guarantees and Feature Learning”, submitted (arXiv:2302.01002).
- 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).
- Paul Jung, Hoil Lee, Jiho Lee, and Hongseok Yang, “-Stable convergence of heavy-tailed infinitely-wide neural networks”, to appear in Advances in Applied Probability, (arXiv:2106.11064).
- “-Stable convergence of heavy-tailed infinitely-wide neural networks”, contributed talk, 2021 Korean Mathematical Society Annual meetings, October 2021, online.
- 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)