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03/31/2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets
We focus on learning unknown dynamics from data using ODE-nets templated...
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05/04/2021
Personalized Algorithm Generation: A Case Study in Meta-Learning ODE Integrators
We study the meta-learning of numerical algorithms for scientific comput...
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04/27/2021
Initializing LSTM internal states via manifold learning
We present an approach, based on learning an intrinsic data manifold, fo...
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12/23/2020
Learning emergent PDEs in a learned emergent space
We extract data-driven, intrinsic spatial coordinates from observations ...
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11/16/2020
Coarse-grained and emergent distributed parameter systems from data
We explore the derivation of distributed parameter system evolution laws...
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07/10/2020
Transformations between deep neural networks
We propose to test, and when possible establish, an equivalence between ...
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04/15/2020
LOCA: LOcal Conformal Autoencoder for standardized data coordinates
We propose a deep-learning based method for obtaining standardized data ...
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04/13/2020