Schedule of Workshop on Mathematical Machine Learning and Application

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 Dec. 14, Monday (EST)

Session 1 (Chair: Jinchao Xu, Co-chair: John Harlim)

Time (EST)

Invited Speaker

Title

9:50-10:00

Opening Remarks(Slides, Video)

10:00-11:00

Ingrid Daubechies

Low-dimensional Manifolds in High-dimensional Data Sets (Video)

11:00-12:00

Andrew Stuart

Learning Operators (Video)

12:00-13:00

John Urschel

Stress Minimization for Low Diameter Graphs (Video)

Session 2 (Chair: Pierre-Emmanual Jabin, Co-chair: Lu Lu)

14:00-15:00

George Em Karniadakis

DeepOnet - Theory-based Learning of General Nonlinear Multiscale Operators (Video)

15:00-16:00

Eric Darve

Reinforcement Learning for Combinatorial Control of Partial Differential Equations (Video)

16:00-17:00

Juncai He

Hierarchical and Multigrid Structures in Deep and Convolutional Neural Networks (Video)

Session 3 (Chair: Alberto Bressan, Co-chair: Haizhao Yang)

19:00-20:00

Weinan E

Machine Learning and PDEs (Video)

20:00-21:00

Zuowei Shen

Deep Approximation via Deep Learning (Video)

21:00-22:00

Bin Dong

Learning to Solve PDEs with Hypernetworks (Video)

 Dec. 15, Tuesday (EST)

Session 4 (Chair: Ludmil Zikatanov, Co-chair: Jonathan Siegel)

10:00-11:00

Ronald DeVore

Neural Network Approximation: What we know and what you may not want to know (Video)

11:00-12:00

Gregery T. Buzzard

Computational Imaging without Cost: Plug and Play and Equilibrium Methods (Video)

12:00-13:00

Rachel Ward

Concentration for Matrix Products, and Convergence of Oja's Algorithm for Streaming PCA

Session 5 (Chair: Alexei Novikov, Co-Chair: John Harlim)

14:00-15:00

Thomas Y. Hou

High-Dimensional Bayesian Inference with Multiscale Invertible Generative Networks (MsIGN) (Video)

15:00-16:00

Lin Xiao

Statistical Preconditioning for Distributed Empirical Risk Minimization (Video)

16:00-17:00

Tyrus Berry

Optimal Bases for Data-Driven Forecasting (Video)

Session 6 (Chair: Leonid Berlyand, Co-chair: Tyrus Berry)

19:00-20:00

Jonathan Siegel

Optimal Approximation Rates for Neural Networks with Cosine and ReLUk Activation Functions (Video)

20:00-21:00

Dimitris Giannakis

Quantum compiler for Classical Dynamical Systems (Video)

21:00-22:00

Zuoqiang Shi

PDE-based Models in Machine Learning (Video)

 Dec. 16, Wednesday

Session 7 (Chair: Wenrui Hao, Co-chair: Tyrus Berry)

10:00-11:00

Peter Markowich

Selection Dynamics for Deep Neural Networks (Video)

11:00-12:00

Ji Hui

Self-supervised Deep Learning for Image Recovery (Video)

12:00-13:00

Mireille Boutin

Highly Likely Clusterable Data with No Cluster (Video)

Session 8 (Chair: Xiantao Li, Co-chair: Jonathan Siegel)

14:00-15:00

Andrea Bertozzi

Total Variation Minimization on Graphs for Semisupervised and Unsupervised Machine Learning

15:00-16:00

Christoph Schwab

Exponential Deep Neural Network Expression for Solution Sets of PDEs (Slides)

16:00-17:00

John Harlim

Machine Learning of Missing Dynamical Systems (Video)

Session 9 (Chair: John Harlim, Co-chair: Juncai He)

19:00-19:30

Poster

Brief introduction by each poster presenter

19:30-22:00

Presentation and discussion in individual zoom room