L. Minah Yang

L. Minah Yang

Postdoc at CIMS, NYU

Publications

Machine learning techniques to construct patched analog ensembles for data assimilation.

Published in Journal of Computational Physics, 2021

Highlights: Domains need to be partitioned when constructing analogs for geophysical models. Patches make the training of machine learning models more robust. The use of patches makes in data assimilation can be implemented in parallel. General autoencoders with an affine transformation in the latent space can be used. Patched constructed analogs can approximate ensemble members within DA methods.

Recommended citation: Yang, L. Minah, Ian Grooms, and Keith A. Julien. "The fidelity of exponential and IMEX integrators for wave turbulence: introduction of a new near-minimax integrating factor scheme." Journal of Computational Physics 434 (2021): 109992. https://doi.org/10.1016/j.jcp.2021.110532

The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme.

Published in Journal of Computational Physics, 2021

Highlights: Integrating Factor methods are the better exponential integrator for wave turbulence. A discrete-asymptotic analysis relates difference equations to asymptotic behavior. A new near-minimax rational approximation for the matrix exponential is proposed for use in IF methods. Implicit-Explicit integrators fundamentally treat wave resonances incorrectly.

Recommended citation: Yang, L. Minah, Ian Grooms, and Keith A. Julien. "The fidelity of exponential and IMEX integrators for wave turbulence: introduction of a new near-minimax integrating factor scheme." Journal of Computational Physics 434 (2021): 109992. https://doi.org/10.1016/j.jcp.2020.109992

Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms.

Published in Society for Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, 2021

This paper is about mixed precision block Householder QR algorithms and their rounding error analyses.

Recommended citation: Yang, L. Minah, Fox, Alyson, Sanders, Geoffrey 2019. “Rounding Error Analysis of Mixed Precision Block Householder QR Algorithms.” Society for Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, vol. 43, no. 3, pp. A1723–A1753, 2021. https://doi.org/10.1137/19M1296367