Search Results for author: Katharina Ott

Found 4 papers, 2 papers with code

ResNet After All? Neural ODEs and Their Numerical Solution

1 code implementation30 Jul 2020 Katharina Ott, Prateek Katiyar, Philipp Hennig, Michael Tiemann

If the trained model is supposed to be a flow generated from an ODE, it should be possible to choose another numerical solver with equal or smaller numerical error without loss of performance.

valid

Bayesian Numerical Integration with Neural Networks

1 code implementation22 May 2023 Katharina Ott, Michael Tiemann, Philipp Hennig, François-Xavier Briol

Bayesian probabilistic numerical methods for numerical integration offer significant advantages over their non-Bayesian counterparts: they can encode prior information about the integrand, and can quantify uncertainty over estimates of an integral.

Numerical Integration

ResNet After All: Neural ODEs and Their Numerical Solution

no code implementations ICLR 2021 Katharina Ott, Prateek Katiyar, Philipp Hennig, Michael Tiemann

If the trained model is supposed to be a flow generated from an ODE, it should be possible to choose another numerical solver with equal or smaller numerical error without loss of performance.

valid

Uncertainty and Structure in Neural Ordinary Differential Equations

no code implementations22 May 2023 Katharina Ott, Michael Tiemann, Philipp Hennig

As a first contribution, we show that basic and lightweight Bayesian deep learning techniques like the Laplace approximation can be applied to neural ODEs to yield structured and meaningful uncertainty quantification.

Uncertainty Quantification

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