Notes
- Detailed balance [May 27, 2020]
- Unbounded operator and Schrödinger equation [December, 2020]
- Optimization methods [January 11, 2021]
- Second-order elliptic equations [May 29, 2021]
- Convergence of preconditioned Hamiltonian Monte Carlo [May 29, 2021]
- Multi-level Monte Carlo [June 24, 2021]
- Exact mapping of Schrödinger equations [August 15, 2021]
- Consensus-based sampling [August 24, 2021]
- Heterogeneous multi-scale method [November 30, 2021]
- Functional analysis [January 4, 2022]
- Numerical study of gradient-free sampling methods [January, 2022]
- Harris ergodic theorem [March 10, 2022]
- Functional inequalities [May 26, 2022]
- Mean-field and classical limits of quantum mechanics [July 14, 2022]
- Hypocoercivity [September 12, 2022]
- Ergodicity and long-time behavior of RB-IPS (talk at POSTECH) [November 1, 2023]
- Replica exchange SGLD [May 19, 2024]
- Functional inequalities [June 22, 2024]
- Statistical Error of Integrators for Langevin Dynamics (talk at Westlake) [August 8, 2024]
- Poincaré and Log-Sobolev Inequalities [October 9, 2024]
- Complexity of Metropolis adjusted Langevin algorithm (MALA) [October 9, 2024]
- Proximal Sampling Algorithm [October 30, 2024]
- Introduction to Gaussian Process Regression [October 28, 2025]
- Handbook of Generative Models for Mathematicians [November 10, 2025] [new]
- Iterative Proportional Fitting [November 13, 2025] [new]
- Variable Curvature Condition [November 15, 2025]
- Rectified Flow [November 21, 2025] [new]
- Essence of Differential (Differential Manifolds) [November 28, 2025]
- Stochastic Normalizing Flow [December 5, 2025] [new]
Blogs
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