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07/28/2023
Learning Nonlinear Projections for Reduced-Order Modeling of Dynamical Systems using Constrained Autoencoders
Recently developed reduced-order modeling techniques aim to approximate ...
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09/20/2022
Learning Bilinear Models of Actuated Koopman Generators from Partially-Observed Trajectories
Data-driven models for nonlinear dynamical systems based on approximatin...
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07/28/2022
Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance
Data-driven reduced-order models often fail to make accurate forecasts o...
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01/27/2021
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems; a New Approach Using Secants
Sensor placement and feature selection are critical steps in engineering...
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05/18/2019
A Discrete Empirical Interpolation Method for Interpretable Immersion and Embedding of Nonlinear Manifolds
Manifold learning techniques seek to discover structure-preserving mappi...
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12/04/2017