Search Results for author: Barry Koren

Found 5 papers, 2 papers with code

A hybrid approach for solving the gravitational N-body problem with Artificial Neural Networks

1 code implementation31 Oct 2023 Veronica Saz Ulibarrena, Philipp Horn, Simon Portegies Zwart, Elena Sellentin, Barry Koren, Maxwell X. Cai

To increase the robustness of a method that uses neural networks, we propose a hybrid integrator that evaluates the prediction of the network and replaces it with the numerical solution if considered inaccurate.

Numerical Integration

Comparison of neural closure models for discretised PDEs

1 code implementation26 Oct 2022 Hugo Melchers, Daan Crommelin, Barry Koren, Vlado Menkovski, Benjamin Sanderse

Of the two trajectory fitting procedures, the discretise-then-optimise approach produces more accurate models than the optimise-then-discretise approach.

On the influence of stochastic roundoff errors and their bias on the convergence of the gradient descent method with low-precision floating-point computation

no code implementations24 Feb 2022 Lu Xia, Stefano Massei, Michiel E. Hochstenbach, Barry Koren

When implementing the gradient descent method in low precision, the employment of stochastic rounding schemes helps to prevent stagnation of convergence caused by the vanishing gradient effect.

A Simple and Efficient Stochastic Rounding Method for Training Neural Networks in Low Precision

no code implementations24 Mar 2021 Lu Xia, Martijn Anthonissen, Michiel Hochstenbach, Barry Koren

Conventional stochastic rounding (CSR) is widely employed in the training of neural networks (NNs), showing promising training results even in low-precision computations.

Improved stochastic rounding

no code implementations31 May 2020 Lu Xia, Martijn Anthonissen, Michiel Hochstenbach, Barry Koren

When a sequence of computations is implemented, round-off errors may be magnified or accumulated.

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