This workshop will be offered virtually. The in-person meeting has been cancelled due to the COVID-19 outbreak. The virtual schedule is posted below. Accepted participants have been notified how to access the virtual presentations. All other interested parties can view the talks via live-stream.
Organizing Committee
Abstract

Mathematical advances that reduce the complexity of models are complemented by algorithms that achieve the desired reduction in computational effort. This workshop focuses on the synthesis and development of algorithmic approaches to model order reduction. These methods tackle fundamental problems in structure- and topology-preserving reductions, low-rank models and dimension reduction, multi-level approaches, and empirical interpolation and approximations, etc. Complementary approaches that target computational efficiency include strategies with offline and online phases and divide-and-conquer algorithms.

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Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, March 23, 2020
TimeEventLocationMaterials
9:50 - 10:00am EDTWelcome - ICERM Director  
10:00 - 10:45am EDTReduced order modelling in electronic structure calculations - first attempts - Benjamin Stamm, RWTH Aachen University 
11:00 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTTensor star-M product SVDs for compression, with applications in POD and in system identification. - Misha Kilmer, Tufts University 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTNovel tensor framework for model reduction and neural networks - Shashanka Ubaru, IBM Research 
2:30 - 2:45pm EDTCoffee/Tea Break  
2:45 - 3:30pm EDTReduced basis methods for linear fractional elliptic problems - Akil Narayan, University of Utah 
3:30 - 3:45pm EDTClose the day  
Tuesday, March 24, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTLocalized model order reduction - Kathrin Smetana, University of Twente 
11:00 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTA Time-Multiscale Model Order Reduction Method In Nonlinear Solid Mechanics - Pierre Ladeveze, Ens Paris-Saclay 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTModel Order Reduction of Energy Networks with a Focus on Hyperbolic Systems - Sara Grundel, Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg 
2:30 - 2:45pm EDTCoffee/Tea Break  
2:45 - 3:30pm EDTGoal-oriented adaptivity within the Generalized Multiscale Finite Element Method - Sara Pollock, University of Florida 
3:45 - 4:30pm EDTThe p-AAA algorithm for data driven modeling of parametric dynamical systems - Serkan Gugercin, Virginia Tech 
4:30 - 4:45pm EDTClose the day  
Wednesday, March 25, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTStructured Autoencoders for Operator-theoretic decomposition and Model reduction of Spatio-temporal dynamics - Karthik Duraisamy, University of Michigan 
11:00 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTPort-Reduced Reduced Basis Component for incompressible fluid flows - Amina Benaceur, MIT 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTData-Driven Variational Multiscale Reduced Order Models - Traian Iliescu, Virginia Tech 
2:30 - 2:45pm EDTCoffee/Tea Break  
2:45 - 3:30pm EDTOn the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows - Charbel Farhat, Stanford University 
3:45 - 4:30pm EDTPOD Reduced-Order Modeling of Complex Fluid Flows - Zhu Wang, University of South Carolina 
4:30 - 4:45pm EDTClose the day  
Thursday, March 26, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTA Reduced Order Modeling approach for PDEs with bifurcating solutions - Annalisa Quaini, University of Houston 
11:00 - 11:15am EDTCoffee/Tea Break  
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTSensor Selection for Bayesian Inverse Problems and Data Assimilation via Dimension Reduction - Nicole Nellesen, RWTH Aachen University 
2:30 - 2:45pm EDTCoffee/Tea Break  
2:45 - 3:30pm EDTEfficient randomized algorithms for subspace system identification - Arvind Saibaba, North Carolina State University 
3:30 - 3:45pm EDTClose the day  
Friday, March 27, 2020
TimeEventLocationMaterials
10:00 - 10:45am EDTRandomization for the Efficient Reduced Order Models in Diffuse Optical Tomography - Selin Aslan, Argonne National Laboratory 
11:00 - 11:15am EDTCoffee/Tea Break  
11:15 - 12:00pm EDTReliable and efficient model reduction of parametrized aerodynamics problems - error estimation and Adaptivity - Masayuki Yano, University of Toronto 
12:15 - 1:30pm EDTBreak for Lunch / Free Time  
1:30 - 2:15pm EDTInterpretable data-driven model reduction for multiscale nonlinear dynamics - Jared Callaham, University of Washington 
2:30 - 2:50pm EDTClosing Remarks - Fariba Fahroo, AFOSR  
2:50 - 3:05pm EDTEnd of Workshop  

Poster Session Gallery

Learning block-oriented nonlinear models of dynamical systems from data

Victor Gosea

Gradient-Based Recovery of Linear Projections in Multi-Index Models

Patrick Martin

System-Theoretic Model Reduction in pyMOR

Petar Mlinarić

Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

Elizabeth Qian

Data-Driven Discovery of Emergent Behaviors

Ming Zhong

Associated Semester Workshops

Mathematics of Reduced Order Models
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Feb 17 - 21, 2020
Semester Workshop

Lecture Videos

Interpretable data-driven model reduction for multiscale nonlinear dynamics

Jared Callaham
University of Washington
March 27, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Reliable and efficient model reduction of parametrized aerodynamics problems - error estimation and Adaptivity

Masayuki Yano
University of Toronto
March 27, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Randomization for the Efficient Reduced Order Models in Diffuse Optical Tomography

Selin Aslan
Argonne National Laboratory
March 27, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Efficient randomized algorithms for subspace system identification

Arvind Saibaba
North Carolina State University
March 26, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Sensor Selection for Bayesian Inverse Problems and Data Assimilation via Dimension Reduction

Nicole Nellesen
RWTH Aachen University
March 26, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

A Reduced Order Modeling approach for PDEs with bifurcating solutions

Annalisa Quaini
University of Houston
March 26, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

POD Reduced-Order Modeling of Complex Fluid Flows

Zhu Wang
University of South Carolina
March 25, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

Data-Driven Variational Multiscale Reduced Order Models

Traian Iliescu
Virginia Tech
March 25, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

Structured Autoencoders for Operator-theoretic decomposition and Model reduction of Spatio-temporal dynamics

Karthik Duraisamy
University of Michigan
March 25, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

The p-AAA algorithm for data driven modeling of parametric dynamical systems

Serkan Gugercin
Virginia Tech
March 24, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Goal-oriented adaptivity within the Generalized Multiscale Finite Element Method

Sara Pollock
University of Florida
March 24, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Model Order Reduction of Energy Networks with a Focus on Hyperbolic Systems

Sara Grundel
Max Planck Insitute
March 24, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

A Time-Multiscale Model Order Reduction Method In Nonlinear Solid Mechanics

Pierre Ladeveze
École Normale Supérieure Paris-Saclay
March 24, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

Localized model order reduction

Kathrin Smetana
University of Twente
March 24, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides

Reduced basis methods for linear fractional elliptic problems

Akil Narayan
University of Utah
March 23, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract

Novel tensor framework for model reduction and neural networks

Shashanka Ubaru
IBM T.J. Watson Research Center
March 23, 2020
VIRTUAL ONLY: Algorithms for Dimension and Complexity Reduction
Play     Abstract     Slides