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:
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 |
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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 |
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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 |
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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 |
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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 |
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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 |