Reading Seminar on Stochastic Many-body Systems

 

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:

  1. Uniform-in-time propagation of chaos.
  2. Approximate message passing (AMP) for high-dimensional problems.
  3. 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.

2022 Spring

DATESpeakerTitle
2021 Dec 7 (Tue.) 9.30am-11:00amZhenfu WangIntroduction to current trends about uniform-in-time propagation of chaos
2021 Dec 14 (Tue.) 9.30am-11:00amShuyang LingOn applications of Kac-Rice formula
2021 Dec 28 (Tue.) 9.30am-11:00amZhenfu WangIntroduction to current trends about uniform-in-time propagation of chaos (Lecture 2)
2022 Mar 17 (Thur.) 9.30am-11:00amLei LiA mean field view of the landscape of two-layer neural networks
2022 Mar 27 (Sun.) 10:00am-12:00pmZhenfu WangMean-field limit of non-exchangeable systems
2022 Apr 3 (Sun.) 10:00am-12:00pmShuyang LingA global synchronization theorem for oscillators on a random graph
2022 Apr 10 (Sun.) 10:00am-12:00pmLei LiA mean field view of the landscape of two-layer neural networks (Lecture 2)
2022 Apr 17 (Sun.) 10:00am-12:00pmLei LiA mean field view of the landscape of two-layer neural networks (Lecture 3)
2022 Apr 24 (Sun.) 10:00am-12:00pmZhenfu WangMean-field limit of non-exchangeable systems(Lecture 2)
2022 May 8 (Sun.) 10:00am-12:00pmZhenfu WangDerivation of Vlasov-Poisson-Fokker-Planck in 2D
2022 May 15 (Sun.) 10:00am-12:00pmShuyang LingApproximate message passing algorithm
2022 May 22 (Sun.) 10:00am-12:00pmShuyang LingApproximate message passing algorithm (Lecture 2)
2022 May 29 (Sun.) 10:00am-12:00pmLei LiDynamical central limit theorem in two-layer NN
2022 June 5 (Sun.) 10:00am-12:00pmLei LiImplicit bias in 2-layer NN
2022 June 12 (Sun.) 10:00am-12:00pmHaitao WangMean field limit for quantum systems
2022 June 19 (Sun.) 10:00am-12:00pmHaitao WangMean field limit for quantum systems ( Lecture 2)

2022 Autumn

DATESpeakerTitleFiles
2022 Sep 25 (Sun.) 9.30am-11:30amZhenfu WangPhase transitions in mean field limitPDF Notes
2022 Oct 9 (Sun.) 9.30am-11:30amShuyang LingEmpirical processPDF Notes
2022 Oct 16 (Sun.) 9.30am-11:30amLin LiuEmpirical process Lecture2Notes
2022 Oct 23 (Sun.) 9.30am-11:30amLin LiuEmpirical process Lecture3 
2022 Nov 6 (Sun.) 9.30am-11:30amShuyang LingEmpirical process Lecture4 
2022 Nov 13 (Sun.) 9.30am-11:30amLei LiMean field analysis of neural networks 
2022 Nov 27 (Sun.) 9.30am-11:30amZhenfu WangPhase transitions in mean field limit Lecture2PDF Notes
2022 Dec 4 (Sun.) 9.30am-11:30amZhenfu WangPhase transitions in mean field limit Lecture3 
2022 Jan 8 (Sun.) 9.30am-11:30amLei LiMean field analysis of neural networks Lecture2 
2022 Jan 15 (Sun.) 9.30am-11:30amZhenfu WangPhase transitions in mean field limit Lecture4 

2023 Spring

DATESpeakerTitleFiles
2023 Feb 26 (Sun.) 9.30am-11:30amLei LiMean Field Langevin Dynamics: Exponential Convergence and Annealing 
2023 Mar 5 (Sun.) 9.30am-11:30amLei LiMean-field Langevin Dynamics and Energy Landscape of Neural NetworksPaper
2023 Mar 12 (Sun.) 9.30am-11:30amZhenfu WangDiscussion of future topicsNotes
2023 Apr 2 (Sun.) 9.30am-11:30amShuyang LingGlobal convergence of Langevin dynamics based algorithms for nonconvex optimizationPaper
2023 Apr 9 (Sun.) 9.30am-11:30amShuyang LingHigh-dimensional limit theorems for SGD: Effective dynamics and critical scalingPaper
2023 Apr 20 (Thur.) 9.00pm-11:00pmZhenfu WangHigh-dimensional limit theorems for SGD: Effective dynamics and critical scalingNotes
2023 Apr 27 (Thur.) 9.00pm-11:00pmLei LiStochastic Gradient Descent with Noise of Machine Learning TypePaper
2023 May 4 (Thur.) 9.00pm-11:00pmLei LiStochastic Gradient Descent with Noise of Machine Learning Type Lecture 2 
2023 May 25 (Thur.) 9.00pm-11:00pmZhenfu WangExponential Entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equationsPaper
2023 June 1 (Thur.) 9.00pm-11:00pmShuyang LingAcceleration of stochastic approximation by averagingPaper
2023 June 8 (Thur.) 9.00pm-11:00pmLei LiBakry-Emery meet VillaniPaper
2023 June 15 (Thur.) 9.00pm-11:00pmHaitao WangOn the Quantum Boltzmann EquationPaper Notes
2023 June 29 (Thur.) 9.00pm-11:00pmLin LiuWeak Signal Asymptotics for Sequentially Randomized ExperimentsPaper

2023 Fall

DATESpeakerTitleFiles
2023 Oct 24 (Tue.) 9.00am-11:00amShuyang LingOverview of Sherrington Kirkpatrick model & Parisi formulaPaper 1 Paper 2 Notes
2023 Oct 31 (Tue.) 9.00am-11:00amLei LiHomogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flowsPaper
2023 Nov 7 (Tue.) 9.00am-11:00amYun GongQuantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole SpacePaper
2023 Nov 14 (Tue.) 9.00am-11:00amShuyang LingOverview of Sherrington Kirkpatrick model & Parisi formula Lecture 2 
2023 Nov 21 (Tue.) 9.00am-11:00amLei LiHomogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows Lecture 2 
2023 Nov 28 (Tue.) 9.00am-11:00amZhenfu WangModulated logarithmic Sobolev inequalities and generation of chaosPaper Notes
2023 Dec 12 (Tue.) 9.00am-11:00amShuyang LingOverview of Sherrington Kirkpatrick model & Parisi formula Lecture 3 
2023 Dec 26 (Tue.) 9.00am-11:00amLei LiTaming correlations through entropy-efficientmeasure decompositions with applications to mean-field approximationPaper 1 Paper 2
2024 Jan 2 (Tue.) 9.00am-11:00amXie PengzhiHigher-order propagation of chaos in L^2 for interacting diffusionsPaper 1 Notes

2024 Spring

DATESpeakerTitleFiles
2024 Mar 26 (Tue.) 9.00am-11:00amZhenfu WangA duality method for mean-field limits with singular interationsPaper Note
2024 Apr 2 (Tue.) 9.00am-11:00amZhenyu HuangMean field error estimate of the random batch method for large interacting particle systemPaper
2024 Apr 9 (Tue.) 9.00am-11:00amShuyang LingIntroduction to diffusion models 
2024 Apr 16 (Tue.) 9.00am-11:00amLei LiStochastic LocalizationPaper 1 Paper 2
2024 Apr 23 (Tue.) 9.00am-11:00amYun GongDuality method for mean field limit with singular interactionsNote
2024 May7 (Tue.) 9.00am-11:00amShuyang LingIntroduction to diffusion models Lecture 2 
2024 May 14 (Tue.) 9.00am-11:00amLei LiThin shell implies spectral gap up to polylog via a stochastic localization schemePaper
2024 May 21 (Tue.) 9.00am-11:00amZhenfu WangDuality method for mean field limit with singular interactions Lecture 2 
2024 May 28 (Tue.) 9.00am-11:00amShuyang LingIntroduction to diffusion models Lecture 3 
2024 June 11 (Tue.) 9.00am-11:00amLei LiThin shell implies spectral gap up to polylog via a stochastic localization scheme Lecture 2Paper