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MATh.en.JEANS

Introducing young people to mathematical research through teamwork on open-ended problems.

publications

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

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
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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
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talks

RT-UQ PhD-day

Published:

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

PhD defense

Published:

Nonlinear dimension reduction for high dimensional approximation and inverse problems.

teaching