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Approximation Error of Sobolev Regular Functions with tanh Neural Networks: Theoretical Impact on PINNs

Authors : Girault, Benjamin; Emonet, Rémi; Habrard, Amaury ...

Subjects: Approximation error; Sobolev space; Physics-informed neural network

Source: https://inria.hal.science/hal-04518335 ; 2024.

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Academic Journal

Where Sobolev interacts with Gagliardo-Nirenberg

Authors : Brezis, Haim; Mironescu, Petru;

Subjects: Gagliardo-Nirenberg-Sobolev inequalities; Sobolev space; Interpolation inequalities

Source: ISSN: 0022-1236.

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Academic Journal

A uniform continuity property of the winding number of self-mappings of the circle

Authors : Mironescu, Petru; Shafrir, Itai;

Subjects: Sobolev space; VMO; winding number

Source: ISSN: 2189-3756.

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Dissertation/ Thesis

Inside and around Wasserstein barycenters ; A travers et autour des barycentres de Wasserstein

Authors : Kroshnin, Aleksei;

Subjects: Optimal transport; Wasserstein barycenter; Central limit theorem

Source: https://theses.hal.science/tel-03541396 ; General Mathematics [math.GM]. Université de Lyon; Kharkevich Institute, 2021. English. ⟨NNT : 2021LYSE1221⟩.

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