Published June 5, 2025 | Version v2

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

  • 1. Max Planck Institute for Dynamics of Complex Technical Systems

Description

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction

This repository contains a MATLAB/OCTAVE implementation of an algorithm that actively samples interpolation points to identify dominant subspaces for model reduction. The approach is proposed in [2].  To reproduce the results and the images reported in this chapter, please follow the instructions in the README-file.

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code_active_dropv1.1.zip

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References

  • Benner P, Goyal P, Pontes Duff I. Identification of dominant subspaces for model reduction of structured parametric systems. Int J Numer Methods Eng. 2024;e7496. doi: 10.1002/nme.7496.
  • Reddig C, Goyal P, Pontes Duff I, Benner P, Active sampling of interpolation points to identify dominant subspaces for model reduction, (2024), arXiv preprint arXiv:2409.03892, https://arxiv.org/abs/2409.03892
  • Niconet e.V., SLICOT - Subroutine Library in Systems and Control Theory, http://www.slicot.org
  • Michiels W, Jarlebring E, and Meerbergen K, Krylov-based model order reduction of time-delay systems, *SIAM J. Matrix Anal. Appl.*, 32 (2011), pp. 1399–1421, doi:10.1137/100797436
  • Breiten T, Structure-preserving model reduction for integro-differential equations, *SIAM J Control Optim.*, 54 (2016), pp. 2992–3015,  doi:10.1137/15M1032296
  • Oberwolfach Benchmark Collection, Butterfly Gyroscope. hosted at MORwiki - Model Order Reduction Wiki, 2004. http://modelreduction.org/index.php/Butterfly_Gyroscope