Vous préférez peut-être la version française.

I am a research scientist in the Serena group, a joint project-team between Inria (Paris) Center and Cermics from École des Ponts ParisTech.

My domains of interests are inverse problems and adjoint techniques. In particular, the refinement indicators algorithm which builds an adaptative parameterization of the distributed quantities to be identified. An interesting application is image segmentation.

Now, my main domain of interest is the use of functional programming for
scientific computation, and more precisely to the
OCaml language
developed at Inria.

I am also interested in formal proof for scientific computing programs.
I am a member of the MILC
project (DIM-RFSI 2018) that deals with the formalization in Coq of the
Lebesgue integral.
These works are related to those of the
ELFIC working group
from Labex DigiCosme - Paris-Saclay, and follow the former ANR projects
CerPAN
and Fost.

- Sklml: the OCaml parallel skeleton system, a functional parallel skeleton compiler and programming system for OCaml programs (easy coarse grain parallelization).
- Ref-indic: Refinement indicators, an adaptive parameterization platform using refinement indicators (details only where they are worth it).
- Ref-image: Image Segmentation by Refinement, image segmentation using optimal control techniques (no gestalt inside).

- 2021, S. Boldo, F. Clément, F. Faissole, V. Martin, and M. Mayero,
*A Coq Formalization of Lebesgue Integration of Nonnegative Functions*, Research Report**9401**, Inria. - 2021, F. Clément, V. Martin,
*Lebesgue Integration. Detailed proofs to be formalized in Coq*, Research Report**9386**, Inria. - 2018, H. Ben Ameur, G. Chavent, F. Cheikh, F. Clément, V. Martin, and
J. E. Roberts,
*First-Order Indicators for the Estimation of Discrete Fractures in Porous Media*, Inverse Problems in Science and Engineering,**26**, pp. 1-32 (pre-published in Research Report**8857**, Inria. - 2017, S. Boldo, F. Clément, F. Faissole, V. Martin, and M. Mayero,
*A Coq Formal Proof of the Lax-Milgram theorem*, Proc. of the 6th ACM SIGPLAN Conf. on Certified Programs and Proofs (CPP 2017), pp. 79-89 (pre-published on HAL). - 2016, F. Clément, V. Martin,
*The Lax-Milgram Theorem. A detailed proof to be formalized in Coq*, Research Report**8934**, Inria. - 2014, S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond,
and P. Weis,
*Trusting Computations: a Mechanized Proof from Partial Differential Equations to Actual Program*, Computers & Mathematics with Applications,**68**, pp. 325-352 (pre-published in Research Report**8197**, Inria). - 2013, S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond,
and P. Weis,
*Wave Equation Numerical Resolution: a Comprehensive Mechanized Proof of a C Program*, Journal of Automated Reasoning,**50**, pp. 423-456 (pre-published in Research Report**7826**, Inria). - 2011, H. Ben Ameur, G. Chavent, F. Clément, and P. Weis,
*Image Segmentation with Multidimensional Refinement Indicators*, Inverse Problems in Science and Engineering,**19**, pp. 577-597 (pre-published in Research Report**7446**, Inria).

My personal web site (in French, but including some pictures).

E-mail: `Francois.Clement@inria.fr`.

URL: **https://who.paris.inria.fr/Francois.Clement/index.en.htm**

Author: François Clément

Last modification on Monday, April 12th, 2021.

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