output
20092025
most citedIdentities involving values of Bernstein, q-Bernoulli and q-Euler polynomials

103 citations

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Showing 2022Show all

12 papers · 1 filter

cs.LG2022

Learning 4DVAR inversion directly from observations

Arthur Filoche, Julien Brajard, Anastase Charantonis +1

Variational data assimilation and deep learning share many algorithmic aspects in common. While the former focuses on system state estimation, the latter provides great inductive b…

q-fin.MF2022★ 1 cited

The rough Hawkes Heston stochastic volatility model

Alessandro Bondi, Sergio Pulido, Simone Scotti

We study an extension of the Heston stochastic volatility model that incorporates rough volatility and jump clustering phenomena. In our model, named the rough Hawkes Heston stocha…

stat.ML2022

Local and Regional Counterfactual Rules: Summarized and Robust Recourses

Salim I. Amoukou, Nicolas J. B Brunel

Counterfactual Explanations (CE) face several unresolved challenges, such as ensuring stability, synthesizing multiple CEs, and providing plausibility and sparsity guarantees. From…

math.AP2022

Forces for the Navier-Stokes equations and the Koch and Tataru theorem

P. G. Lemarié-Rieusset

We consider the Cauchy problem for the incompressible Navier--Stokes equations on the whole space , with initial value (as in Koch and Ta…

math.PR2022

Limit of the environment viewed from Sinaï's walk

Francis Comets, Oleg Loukianov, Dasha Loukianova

For Sinaï's walk (X_k) we show that the empirical measure of the environment seen from the particle (\bar\w_k) converges in law to some random measure S. This limit measure is expl…

math.OC2022★ 1 cited

Existence of optimal controls for stochastic Volterra equations

Andrés Cárdenas, Sergio Pulido, Rafael Serrano

We provide sufficient conditions that guarantee the existence of relaxed optimal controls in the weak formulation of stochastic control problems for stochastic Volterra equations (…