preprint · HAL (Le Centre pour la Communication Scientifique Directe) · 2016

SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS

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Abstract

This paper presents a new algorithm which aims at the resolution of inverse problems of the form f (x) = 0, for x ∈ R d and f an arbitrary function with mild regularity condition. The set of solutions S may be infinite. This algorithm produces a good coverage of S, with a limited number of evaluations of the function f. It is therefore appropriate for complex problems where those evaluations are costly. Various examples are presented, with d varying from 2 to 10. Proofs of convergence and of coverage of S are presented.

Cite this paper

APA 7

Biret, M., & Broniatowski, M. (2016). SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS. HAL (Le Centre pour la Communication Scientifique Directe).

MLA 9

Biret, Maëva, and Michel Broniatowski. “SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS.” HAL (Le Centre pour la Communication Scientifique Directe), 2016.

Chicago

Biret, Maëva, and Michel Broniatowski. 2016. “SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS.” HAL (Le Centre pour la Communication Scientifique Directe).

Harvard

Biret, M. and Broniatowski, M. (2016) ‘SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS’, HAL (Le Centre pour la Communication Scientifique Directe).

BibTeX

@misc{biret2016safip,
  title = {{SAFIP: A STREAMING ALGORITHM FOR INVERSE PROBLEMS}},
  author = {Biret, Maëva and Broniatowski, Michel},
  journal = {HAL (Le Centre pour la Communication Scientifique Directe)},
  year = {2016}
}

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