A block-coordinate approach of multi-level optimization with an application to physics-informed neural networks

Author:

Gratton Serge,Mercier Valentin,Riccietti ElisaORCID,Toint Philippe L.

Funder

ANITI

GDR-ISIS

Publisher

Springer Science and Business Media LLC

Reference48 articles.

1. Briggs, W.L., Henson, V.E., McCormick, S.F.: A Multigrid Tutorial, 2nd edn. SIAM, Philadelphia, USA (2000)

2. Trottenberg, U., Oosterlee, C.W., Schüller, A.: Multigrid. Elsevier, Amsterdam, The Netherlands (2001)

3. Nash, S.G.: A multigrid approach to discretized optimization problems. Optim. Methods Softw. 14, 99–116 (2000)

4. Gratton, S., Sartenaer, A. and Toint, Ph. L., On recursive multiscale trust-region algorithms for unconstrained minimization. In F. Jarre, C. Lemaréchal, and J. Zowe, editors, Oberwolfach Reports: Optimization and Applications, (2005)

5. Gratton, S., Sartenaer, A., Toint, Ph.L.: Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization. J. Comput. Appl. Math. 24(6), 676–692 (2006)

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