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- École PolytechniqueFR461 papers
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38 papers · 1 filter
On the matchings-Jack and hypermap-Jack conjectures for labelled matchings and star hypermaps
Andrei L. Kanunnikov, Valentin V. Promyslov, Ekaterina A. Vassilieva
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the -conjecture) are two major open question…
La production de nitrites lors de la dénitrification des eaux usées par biofiltration - Stratégie de contrôle et de réduction des concentrations résiduelles
Vincent Rocher, Cédric Join, Stéphane Mottelet +6
The recent popularity of post-denitrification processes in the greater Paris area wastewater treatment plants has caused a resurgence of the presence of nitrite in the Seine river.…
Globally Optimal Symbolic Regression
Vernon Austel, Sanjeeb Dash, Oktay Gunluk +4
In this study we introduce a new technique for symbolic regression that guarantees global optimality. This is achieved by formulating a mixed integer non-linear program (MINLP) who…
Un résultat intrigant en commande sans modèle
Cédric Join, Emmanuel Delaleau, Michel Fliess +1
An elementary mathematical example proves, thanks to the Routh-Hurwitz criterion, a result that is intriguing with respect to today's practical understanding of model-free control,…
Quotientopes
Vincent Pilaud, Francisco Santos
For any lattice congruence of the weak order on , N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class define…
Convergence of uniform noncrossing partitions toward the Brownian triangulation
Jérémie Bettinelli
We give a short proof that a uniform noncrossing partition of the regular -gon weakly converges toward Aldous's Brownian triangulation of the disk, in the sense of the Hausdorff…