Published in Advances in Computational Mathematics, Volume 50, article number 32, (2024), 2024
Inverse problem, model order reduction, sparse approximation, randomized linear algebra.
Recommended citation: Nouy, A. and Pasco, A. (2024). Dictionary-Based Model Reduction for State Estimation. Adv Comput Math, 50(3), 32. doi:10.1007/s10444-024-10129-4
Download Paper | Download Slides | Download Bibtex
Published in arXiv, 2026
High-dimensional approximation, Poincaré inequality, collective dimension reduction, structured dimension reduction, nonlinear feature learning, deviation inequalities.
Recommended citation: Pasco, A. and Nouy, A. (2025). Surrogate to Poincaré inequalities on manifolds for structured dimension reduction in nonlinear feature spaces. Preprint. doi:10.48550/arXiv.2602.01143
Download Paper | Download Bibtex
Published in arXiv, 2025
High-dimensional approximation, Poincaré inequality, dimension reduction, nonlinear feature learning, deviation inequalities.
Recommended citation: Nouy, A. and Pasco, A. (2025). Surrogate to Poincaré inequalities on manifolds for dimension reduction in nonlinear feature spaces. Preprint. doi:10.48550/arXiv.2505.01807
Download Paper | Download Slides | Download Bibtex
Published in HAL, 2026
High-dimensional approximation, dimension reduction, inverse problems, random sketching, Poincaré inequality
Recommended citation: Pasco, A. (2026). Nonlinear dimension reduction for high dimensional approximation and inverse problems.
Download Paper | Download Slides | Download Bibtex