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12/14/2022
Learning Invariant Subspaces of Koopman Operators–Part 2: Heterogeneous Dictionary Mixing to Approximate Subspace Invariance
This work builds on the models and concepts presented in part 1 to learn...
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12/14/2022
Learning Invariant Subspaces of Koopman Operators–Part 1: A Methodology for Demonstrating a Dictionary's Approximate Subspace Invariance
Koopman operators model nonlinear dynamics as a linear dynamic system ac...
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06/27/2022
Heterogeneous mixtures of dictionary functions to approximate subspace invariance in Koopman operators
Koopman operators model nonlinear dynamics as a linear dynamic system ac...
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09/30/2019
Towards Scalable Koopman Operator Learning: Convergence Rates and A Distributed Learning Algorithm
In this paper, we propose an alternating optimization algorithm to the n...
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01/09/2019
A Constructive Approach for One-Shot Training of Neural Networks Using Hypercube-Based Topological Coverings
In this paper we presented a novel constructive approach for training de...
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03/22/2018
Enforcing constraints for interpolation and extrapolation in Generative Adversarial Networks
Generative Adversarial Networks (GANs) are becoming popular choices for ...
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12/08/2017
A Class of Logistic Functions for Approximating State-Inclusive Koopman Operators
An outstanding challenge in nonlinear systems theory is identification o...
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08/22/2017