Implementation of the emulator-based component analysis




Vladyka, Anton; Eronen, Eemeli A.; Niskanen, Johannes

PublisherElsevier Ltd

2024

Journal of Computational Science

Journal of Computational Science

102437

83

1877-7503

1877-7511

DOIhttps://doi.org/10.1016/j.jocs.2024.102437

http://dx.doi.org/10.1016/j.jocs.2024.102437

https://research.utu.fi/converis/portal/detail/Publication/458210671



We present a PyTorch-powered implementation of the emulator-based component analysis used for ill-posed numerical non-linear inverse problems, where an approximate emulator for the forward problem is known. This emulator may be a numerical model, an interpolating function, or a fitting function such as a neural network. With the help of the emulator and a data set, the method seeks dimensionality reduction by projection in the variable space so that maximal variance of the target (response) values of the data is covered. The obtained basis set for projection in the variable space defines a subspace of the greatest response for the outcome of the forward problem. The method allows for the reconstruction of the coordinates in this subspace for an approximate solution to the inverse problem. We present an example of using the code provided as a Python class.


Academy of Finland is acknowledged for funding via project 331234 . The authors acknowledge CSC – IT Center for Science, Finland, and the FGCI – Finnish Grid and Cloud Infrastructure for computational resources. E.A.E. acknowledges Jenny and Antti Wihuri Foundation for funding.


Last updated on 2025-27-01 at 19:20