Author

Maxim A. Olshanskii

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Jul 2026

Tensor-Based Reduced-Order Modeling for Optimization-Based Inverse Problems

The results show that TROM reproduces full-order inversion at substantially reduced online cost and demonstrate that reduced-coordinate inversion, tensor-based optimization, and appropriate regularization improve robustness in higher-dimensional, noisy, and strongly nonconvex regimes.

Sahidul Islam, Andreas Mang, Maxim A. Olshanskii · arXiv.org · 1 citation

Preprint Jul 2026

Tensor-Based Reduced-Order Modeling for Optimization-Based Inverse Problems

We develop a tensor reduced-order modeling (TROM) framework for optimization-based inverse problems governed by parameter-dependent dynamical systems. The approach approximates the parameter-to-observation map directly in tensor-train format, using either TT-SVD or TT-Cross compression, and integrates the resulting rep...

S. Islam, Andreas Mang, Maxim A. Olshanskii · 1 citation