Yucong Liu

I am currently a Machine Learning Ph.D student at Georgia Tech, advised by Vladimir Koltchinskii and Florian Schäffer.

My research mainly focus on

High dimensional and infinite dimensional statistics
Randomized numerical linear algebra
Mathematical perspective of modern machine learning models
Sampling and Optimization
Ai4Math, Mathematical proof generating and Lean code auto-revision

Before joining Gerogia Tech, I obtained my MS degree in Statistics at the University of Chicago, under the supervision of Lek-Heng Lim and Alexander Strang. I received my bachelor's degrees from the School of EECS and the School of Mathematical Science at Peking University.

Yucong Liu

yucongliu@gatech.edu

School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta
USA

Google Scholar

Publications

Published Articles

Zilai Si, Yucong Liu, Alexander Strang Path-following methods for Maximum a Posteriori estimators in Bayesian hierarchical models SIAM Journal on Optimization
Yucong Liu Neural Networks are Integrable International Conference on Scientific Computing and Machine Learning 2024 [Oral]
Yucong Liu, Simiao Jiao, Lek-Heng Lim LU decomposition and Toeplitz decomposition of a neural network Applied and Computational Harmonic Analysis
Yucong Liu, Shixing Yu, Tong Lin Hessian regularization of deep neural networks: A novel approach based on stochastic estimators of Hessian trace Neurocomputing
Hanwen Xu, Jiayou Zhang, Zhirui Wang, Shizhuo Zhang, Megh Bhalerao, Yucong Liu, Dawei Zhu, Sheng Wang GraphPrompt: Graph-Based Prompt Templates for Biomedical Synonym Prediction AAAI 2023

Preprint

Zehua Lai, Lek-Heng Lim, Yucong Liu Attention is a smoothed cubic spline
Yucong Liu, Chi-Hua Wang, Guang Cheng On the Utility Recovery Incapability of Neural Net-based Differential Private Tabular Training Data Synthesizer under Privacy Deregulation

Reading List

Mathematical Foundations of Infinite-Dimensional Statistical Models Evarist Giné, Richard Nickl

High-Dimensional Probability Roman Vershynin

Randomized numerical linear algebra: Foundations and algorithms Per-Gunnar Martinsson and Joel A. Tropp

Randomized Algorithms for Matrix Computations Joel A. Tropp

Mathematical Theory of Finite Elements Leszek F. Demkowicz

Real Algebraic Geometry Jacek Bochnak , Michel Coste , Marie-Françoise Roy

"Once again I had to put myself in a vulnerable position in order to become stronger." ― Cédric Villani, Birth of a Theorem: A Mathematical Adventure