Miscellaneous

Google Classic papers

According to Google Scholar, the MADS paper is the second most cited paper of 2006 in optimization.

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C. Audet and J. E. Dennis, Jr. Mesh adaptive direct search algorithms for constrained optimization. SIAM Journal on Optimization, 17(1):188–217, 2006.

Collaboration graph

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Genealogy

Visualization of my research

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Number of publication in various scientific fields (from ISI Web of Science).

Animation of Mads

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The yellow dot is the current best point. At each iteration, the poll step of the Mads algorithm randomly generates a maximal positive basis (the black crosses after the spinning). The green poll points are evaluated and the best point is retained.

In case of a success the mesh is coarsened, and in case of failure, the mesh size parameter is refined more aggressively than the poll size parameter. The union of all normalized poll directions grows dense in the unit sphere.

Hansen’s octagon

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Erdös number

My Erdös number is 3 via Pierre Hansen and Siemion Fajtlowicz.

h-index

My h-index is h=26 on ISI Web of Science, and h=38 on Google Scholar (this means that h of my papers were cited at least h times).

Journal rankings

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