Publications

You can also find my articles on my Google Scholar profile.

Journal Articles

Surrogate to Poincaré inequalities on manifolds for dimension reduction in nonlinear feature spaces

Published in Information and Inference: A Journal of the IMA, Volume 15, Issue 1, March 2026, iaag005, 2026

High-dimensional approximation, Poincaré inequality, dimension reduction, nonlinear feature learning, deviation inequalities.

Recommended citation: Nouy, A. and Pasco, A. Information and Inference: A Journal of the IMA, Volume 15, Issue 1, March 2026, iaag005, https://doi.org/10.1093/imaiai/iaag005
Download Paper | Download Slides | Download Bibtex

Dictionary-based model reduction for state estimation

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., Pasco, A. Dictionary-based model reduction for state estimation. Adv Comput Math 50, 32 (2024). https://doi.org/10.1007/s10444-024-10129-4
Download Paper | Download Slides | Download Bibtex

Preprints

Gradient-based collective and structured nonlinear dimension reduction with quadratic surrogates

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). Gradient-based collective and structured nonlinear dimension reduction with quadratic surrogates. Preprint. doi:10.48550/arXiv.2602.01143
Download Paper | Download Slides | Download Bibtex

Other

Nonlinear dimension reduction for high dimensional approximation and inverse problems.

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

Alexandre Pasco