Research interest
My research interest lies in applied math, including stochastic algorithms (for sampling, machine learning and particle systems etc), minmax optimization, diffusion models, sequential Monte Carlo, etc.
Publications
(in alphabetical order)
- Uniform-in-time error estimate of random batch method with replacement for the Cucker-Smale model
Yuelin Wang, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2501.15152
- On Random Batch Methods (RBM) for interacting particle systems driven by L\'evy processes
Jian-Guo Liu, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2412.06291
- Error estimates of the Euler's method for stochastic differential equations with multiplicative noise via relative entropy
Lei Li, Mengchao Wang, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2409.04991
- Guidance for twisted particle filter: a continuous-time perspective
Jianfeng Lu, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2409.02399
- Convergence of Random Batch Method with replacement for interacting particle systems
Zhenhao Cai, Jian-Guo Liu, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2407.19315
- Propagation of chaos in path spaces via information theory
Lei Li, Yuelin Wang, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2312.00339
- Geometric ergodicity of SGLD via reflection coupling
Lei Li, Jian-Guo Liu, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2301.06769
- A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics
Lei Li, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2207.09304
- On uniform-in-time diffusion approximation for stochastic gradient descent
Lei Li, Yuliang Wang
arxiv preprint | https://arxiv.org/abs/2207.04922
- Topic-aware chatbot using Recurrent Neural Networks and Nonnegative Matrix Factorization
Yuchen Guo, Nicholas Hanoian, Zhexiao Lin, Nicholas Liskij, Hanbaek Lyu, Deanna Needell, Jiahao Qu, Henry Sojico, Yuliang Wang, Zhe Xiong, Zhenhong Zou
arxiv preprint | https://arxiv.org/abs/1912.00315
Education and experience
2020.9-present. Math. Ph.D. candidate. Shanghai Jiao Tong Univeristy. (advised by Prof. Lei Li)
2024.3-present. Visit scholar. Duke University. (advised by Prof. Jianfeng Lu)
2016.9-2020.6. Math and applied math (Zhiyuan Honors Program). B.S. Shanghai Jiao Tong Univeristy.(thesis advised by Prof. Lei Li)
2019.6-2020.1. Visit scholar. University of California, Los Angeles. (advised by Prof. Deanna Needell and Prof. Hanbaek Lyu)
2018.6-2018.7. Exchange. Hertford College, Oxford University.
Talks
Past talks:
- On the ergodicity and sharp error estimate of Stochastic Gradient Langevin Dynamics
2022.12 | AMPHD seminar , Fudan University, Shanghai
- Ergodicity and sharp error estimate of Stochastic Gradient Langevin Dynamics
2023.8 | ICIAM2023, Tokyo
- Random Batch Methods and Kinetic Monte Carlo for Interacting Particle Systems with Levy Noise
2025.2 | Zu Chongzhi Mathematics Research Seminar, Duke-Kunshan University, Kunshan
Teaching
Malliavin calculus, Yuliang Wang, Shanghai Jiao Tong University, Spring 2022 - Fall 2023 (lecturer).
Artificial intelligence and partial differential equations, Lei Li, Harbin, Summer 2023 (TA).
MA378, Optimization, Lei Li, Shanghai Jiao Tong University, Fall 2023 (TA).
MA1208, Calculus, Gang Zhou, Shanghai Jiao Tong University, Fall 2022 (TA).
MA378, Optimization, Lei Li, Shanghai Jiao Tong University, Fall 2021 (TA).
MA1608H, Mathematical analysis, Kaizhi Wang, Shanghai Jiao Tong University, Fall 2020 (TA).