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math.NA2023
Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets
Aiqing Zhu, Tom Bertalan, Beibei Zhu +2
We focus on learning unknown dynamics from data using ODE-nets templated on implicit numerical initial value problem solvers. First, we perform Inverse Modified error analysis of t…
math.NA2023★ 13 cited
From partial data to out-of-sample parameter and observation estimation with Diffusion Maps and Geometric Harmonics
Eleni D. Koronaki, Nikolaos Evangelou, Yorgos M. Psarellis +2
A data-driven framework is presented, that enables the prediction of quantities, either observations or parameters, given sufficient partial data. The framework is illustrated via…