Organizers: Lei Li (SJTU), Zhenfu Wang (PKU) and Shuyang Ling (NYU-SH)
This is a joint reading seminar about many-body systems and their applications.
The current topics include:
Uniform-in-time propagation of chaos.
Approximate message passing (AMP) for high-dimensional problems.
Applications of particle systems in machine learning.
All online meetings, if not specially marked, will be held in Zoom meeting room.
If you are interested in our seminar, please contact the organizers.
| DATE | Speaker | Title |
|---|---|---|
| 2021 Dec 7 (Tue.) 9.30am-11:00am | Zhenfu Wang | Introduction to current trends about uniform-in-time propagation of chaos |
| 2021 Dec 14 (Tue.) 9.30am-11:00am | Shuyang Ling | On applications of Kac-Rice formula |
| 2021 Dec 28 (Tue.) 9.30am-11:00am | Zhenfu Wang | Introduction to current trends about uniform-in-time propagation of chaos (Lecture 2) |
| 2022 Mar 17 (Thur.) 9.30am-11:00am | Lei Li | A mean field view of the landscape of two-layer neural networks |
| 2022 Mar 27 (Sun.) 10:00am-12:00pm | Zhenfu Wang | Mean-field limit of non-exchangeable systems |
| 2022 Apr 3 (Sun.) 10:00am-12:00pm | Shuyang Ling | A global synchronization theorem for oscillators on a random graph |
| 2022 Apr 10 (Sun.) 10:00am-12:00pm | Lei Li | A mean field view of the landscape of two-layer neural networks (Lecture 2) |
| 2022 Apr 17 (Sun.) 10:00am-12:00pm | Lei Li | A mean field view of the landscape of two-layer neural networks (Lecture 3) |
| 2022 Apr 24 (Sun.) 10:00am-12:00pm | Zhenfu Wang | Mean-field limit of non-exchangeable systems(Lecture 2) |
| 2022 May 8 (Sun.) 10:00am-12:00pm | Zhenfu Wang | Derivation of Vlasov-Poisson-Fokker-Planck in 2D |
| 2022 May 15 (Sun.) 10:00am-12:00pm | Shuyang Ling | Approximate message passing algorithm |
| 2022 May 22 (Sun.) 10:00am-12:00pm | Shuyang Ling | Approximate message passing algorithm (Lecture 2) |
| 2022 May 29 (Sun.) 10:00am-12:00pm | Lei Li | Dynamical central limit theorem in two-layer NN |
| 2022 June 5 (Sun.) 10:00am-12:00pm | Lei Li | Implicit bias in 2-layer NN |
| 2022 June 12 (Sun.) 10:00am-12:00pm | Haitao Wang | Mean field limit for quantum systems |
| 2022 June 19 (Sun.) 10:00am-12:00pm | Haitao Wang | Mean field limit for quantum systems ( Lecture 2) |
| DATE | Speaker | Title | Files |
|---|---|---|---|
| 2022 Sep 25 (Sun.) 9.30am-11:30am | Zhenfu Wang | Phase transitions in mean field limit | PDF Notes |
| 2022 Oct 9 (Sun.) 9.30am-11:30am | Shuyang Ling | Empirical process | PDF Notes |
| 2022 Oct 16 (Sun.) 9.30am-11:30am | Lin Liu | Empirical process Lecture2 | Notes |
| 2022 Oct 23 (Sun.) 9.30am-11:30am | Lin Liu | Empirical process Lecture3 | |
| 2022 Nov 6 (Sun.) 9.30am-11:30am | Shuyang Ling | Empirical process Lecture4 | |
| 2022 Nov 13 (Sun.) 9.30am-11:30am | Lei Li | Mean field analysis of neural networks | |
| 2022 Nov 27 (Sun.) 9.30am-11:30am | Zhenfu Wang | Phase transitions in mean field limit Lecture2 | PDF Notes |
| 2022 Dec 4 (Sun.) 9.30am-11:30am | Zhenfu Wang | Phase transitions in mean field limit Lecture3 | |
| 2022 Jan 8 (Sun.) 9.30am-11:30am | Lei Li | Mean field analysis of neural networks Lecture2 | |
| 2022 Jan 15 (Sun.) 9.30am-11:30am | Zhenfu Wang | Phase transitions in mean field limit Lecture4 |
| DATE | Speaker | Title | Files |
|---|---|---|---|
| 2023 Feb 26 (Sun.) 9.30am-11:30am | Lei Li | Mean Field Langevin Dynamics: Exponential Convergence and Annealing | |
| 2023 Mar 5 (Sun.) 9.30am-11:30am | Lei Li | Mean-field Langevin Dynamics and Energy Landscape of Neural Networks | Paper |
| 2023 Mar 12 (Sun.) 9.30am-11:30am | Zhenfu Wang | Discussion of future topics | Notes |
| 2023 Apr 2 (Sun.) 9.30am-11:30am | Shuyang Ling | Global convergence of Langevin dynamics based algorithms for nonconvex optimization | Paper |
| 2023 Apr 9 (Sun.) 9.30am-11:30am | Shuyang Ling | High-dimensional limit theorems for SGD: Effective dynamics and critical scaling | Paper |
| 2023 Apr 20 (Thur.) 9.00pm-11:00pm | Zhenfu Wang | High-dimensional limit theorems for SGD: Effective dynamics and critical scaling | Notes |
| 2023 Apr 27 (Thur.) 9.00pm-11:00pm | Lei Li | Stochastic Gradient Descent with Noise of Machine Learning Type | Paper |
| 2023 May 4 (Thur.) 9.00pm-11:00pm | Lei Li | Stochastic Gradient Descent with Noise of Machine Learning Type Lecture 2 | |
| 2023 May 25 (Thur.) 9.00pm-11:00pm | Zhenfu Wang | Exponential Entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations | Paper |
| 2023 June 1 (Thur.) 9.00pm-11:00pm | Shuyang Ling | Acceleration of stochastic approximation by averaging | Paper |
| 2023 June 8 (Thur.) 9.00pm-11:00pm | Lei Li | Bakry-Emery meet Villani | Paper |
| 2023 June 15 (Thur.) 9.00pm-11:00pm | Haitao Wang | On the Quantum Boltzmann Equation | Paper Notes |
| 2023 June 29 (Thur.) 9.00pm-11:00pm | Lin Liu | Weak Signal Asymptotics for Sequentially Randomized Experiments | Paper |
| DATE | Speaker | Title | Files |
|---|---|---|---|
| 2023 Oct 24 (Tue.) 9.00am-11:00am | Shuyang Ling | Overview of Sherrington Kirkpatrick model & Parisi formula | Paper 1 Paper 2 Notes |
| 2023 Oct 31 (Tue.) 9.00am-11:00am | Lei Li | Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows | Paper |
| 2023 Nov 7 (Tue.) 9.00am-11:00am | Yun Gong | Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space | Paper |
| 2023 Nov 14 (Tue.) 9.00am-11:00am | Shuyang Ling | Overview of Sherrington Kirkpatrick model & Parisi formula Lecture 2 | |
| 2023 Nov 21 (Tue.) 9.00am-11:00am | Lei Li | Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows Lecture 2 | |
| 2023 Nov 28 (Tue.) 9.00am-11:00am | Zhenfu Wang | Modulated logarithmic Sobolev inequalities and generation of chaos | Paper Notes |
| 2023 Dec 12 (Tue.) 9.00am-11:00am | Shuyang Ling | Overview of Sherrington Kirkpatrick model & Parisi formula Lecture 3 | |
| 2023 Dec 26 (Tue.) 9.00am-11:00am | Lei Li | Taming correlations through entropy-efficientmeasure decompositions with applications to mean-field approximation | Paper 1 Paper 2 |
| 2024 Jan 2 (Tue.) 9.00am-11:00am | Xie Pengzhi | Higher-order propagation of chaos in L^2 for interacting diffusions | Paper 1 Notes |
| DATE | Speaker | Title | Files |
|---|---|---|---|
| 2024 Mar 26 (Tue.) 9.00am-11:00am | Zhenfu Wang | A duality method for mean-field limits with singular interations | Paper Note |
| 2024 Apr 2 (Tue.) 9.00am-11:00am | Zhenyu Huang | Mean field error estimate of the random batch method for large interacting particle system | Paper |
| 2024 Apr 9 (Tue.) 9.00am-11:00am | Shuyang Ling | Introduction to diffusion models | |
| 2024 Apr 16 (Tue.) 9.00am-11:00am | Lei Li | Stochastic Localization | Paper 1 Paper 2 |
| 2024 Apr 23 (Tue.) 9.00am-11:00am | Yun Gong | Duality method for mean field limit with singular interactions | Note |
| 2024 May7 (Tue.) 9.00am-11:00am | Shuyang Ling | Introduction to diffusion models Lecture 2 | |
| 2024 May 14 (Tue.) 9.00am-11:00am | Lei Li | Thin shell implies spectral gap up to polylog via a stochastic localization scheme | Paper |
| 2024 May 21 (Tue.) 9.00am-11:00am | Zhenfu Wang | Duality method for mean field limit with singular interactions Lecture 2 | |
| 2024 May 28 (Tue.) 9.00am-11:00am | Shuyang Ling | Introduction to diffusion models Lecture 3 | |
| 2024 June 11 (Tue.) 9.00am-11:00am | Lei Li | Thin shell implies spectral gap up to polylog via a stochastic localization scheme Lecture 2 | Paper |
| DATE | Speaker | Title | Files |
|---|---|---|---|
| 2025 Mar 6 (Thu.) 9:30 a.m.-11:00 a.m. | Lei Li | The Landau Equation as a Gradient Flow | Paper |