Operator Theoretic Methods in Dynamic Data Analysis and Control - IPAM

Operator Theoretic Methods in Dynamic Data Analysis and Control

February 11 - 15, 2019

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 11, 2019

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
09:00-09:40
Igor Mezic (University of California, Santa Barbara (UCSB))
Koopman Operator Theory for Dynamical Systems, Control and Data Analytics
09:50-10:10
Break
10:10-10:50
Ryan Mohr (University of California, Santa Barbara (UCSB))
The Koopman Operator, Diffusion Maps, and Partially Known Dynamics
11:00-11:20
Break
11:20-12:00
Frank Noe (MLPRC2)
Variational approximation of dynamical systems using machine learning

Afternoon Session

12:10-13:30
Lunch (on your own)
13:30-14:10
Amit Surana (United Technologies Research Center)
Tensor Dynamic Mode Decomposition
14:20-14:40
Break
14:40-15:20
Zlatko Drmač (University of Zagreb)
Data driven Koopman spectral analysis - a numerical linear algebra perspective
15:30-17:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, February 12, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Gary Froyland (University of New South Wales)
An overview of transfer operator methods in nonautonomous dynamics: geometry, spectrum, and data.
09:50-10:10
Break
10:10-10:50
Nader Motee (Lehigh University)
Koopman Performance Analysis of Nonlinear Networks
11:00-11:20
Break
11:20-12:00
Didier Henrion (Centre National de la Recherche Scientifique (CNRS))
Computing invariant measures with the Lasserre hierarchy

Afternoon Session

12:10-13:30
Lunch (on your own)
13:30-14:10
Irène Waldspurger (Université de Paris IX (Paris-Dauphine))
Rank optimality for the Burer-Monteiro factorization
14:20-14:40
Break
14:40-15:20
Milan Korda (Centre National de la Recherche Scientifique (CNRS))
Learning Koopman eigenfunctions for prediction and control: the transient case

Wednesday, February 13, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Mihai Putinar (University of California, Santa Barbara (UCSB))
Perturbation of the Christoffel-Darboux kernel in several variables
09:50-10:10
Break
10:10-10:50
Tillmann Weisser (Los Alamos National Laboratory)
A Moment Approach to Approximating Functional Solutions
11:00-11:20
Break
11:20-12:00
Jean Lasserre (Université de Toulouse III (Paul Sabatier))
Extracting classical solutions from « truncated moment solutions » of weak formulations of some ODEs and PDEs.

Afternoon Session

12:10-13:30
Lunch (on your own)
13:30-14:10
Alexandre Mauroy (Université de Namur)
Dual identification methods in Koopman operator theory: from ODEs to PDEs
14:20-14:40
Break
14:40-15:20
Nelida Črnjarić-Žic (University of Rijeka)
Stochastic Koopman operator and the numerical approximations of its spectral objects
15:30-15:50
Break
15:50-16:30
Yuri Latushkin (University of Missouri-Columbia)
The Maslov index and the spectrum of differential operators.

Thursday, February 14, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
J. Nathan Kutz (University of Washington)
Deep learning for universal linear embeddings of nonlinear dynamics
09:50-10:10
Break
10:10-10:50
Umesh Vaidya (Iowa State University)
Sample Complexity of Nonlinear Optimal Control
11:00-11:20
Break
11:20-12:00
Hiroya Nakao (Tokyo Institute of Technology)
Koopman eigenfunctionals and reduced description of partial differential equations

Afternoon Session

12:10-13:30
Lunch (on your own)
13:30-14:10
Maria Infusino (Universität Konstanz)
The realizability problem for point processes: explicit constructions on the lattice.
14:20-14:40
Break
14:40-15:20
Senka Maćešić (University of Rijeka)
Data-driven algorithms for nonautonomous Koopman operator
15:30-15:50
Break
15:50-16:30
Enoch Yeung (University of California, Santa Barbara (UCSB))
Data-Driven Discovery with Deep Koopman Operators: Novel Basis Functions with Approximate Closure and Operational Envelopes in Biological Systems

Friday, February 15, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:40
Maria Fonoberova (AIMdyn)
Koopman Mode Analyses of Agent Based Modeling of Urban Insurgence and Sea Ice Concentration
09:50-10:10
Break
10:10-10:50
Oliver Junge (Technical University of Munich)
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories
11:00-11:20
Break
11:20-12:00
Peter Schmid (Imperial College)
Towards analysis and prediction of rare events in turbulent flows

Afternoon Session

12:10-13:30
Lunch (on your own)
13:30-14:10
Dimitris Giannakis (New York University)
Reproducing kernel Hilbert space approaches for spectral analysis of dynamical systems
14:20-14:40
Break
14:40-15:20
Krithika Manohar (California Institute of Technology)
Dimension-Reduced Dynamics From Slow-Fast Systems Using Diffusion Kernels
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