4 papers
Conditional gradient methods on unbounded feasible regions
R. DÃaz Millán, Tuan Thanh Lu, Julien Ugon
The conditional gradient method is attractive when linear minimization over the feasible region is substantially cheaper than projection. Its classical convergence theory, however,…
KKT-based optimality conditions for neural network approximation
Vinesha Peiris, Nadezda Sukhorukova, Julien Ugon
In this paper, we obtain necessary optimality conditions for neural network approximation. We consider neural networks in Manhattan ( norm) and Chebyshev ( norm). The op…
Flexible rational approximation and its application for matrix functions
Nir Sharon, Vinesha Peiris, Nadia Sukhorukova +1
This paper proposes a unique optimization approach for estimating the minimax rational approximation and its application for evaluating matrix functions. Our method enables the ext…
Bivariate rational approximations of the general temperature integral
Alireza Aghili, Nadezda Sukhorukova, Julien Ugon
The non-isothermal analysis of materials with the application of the Arrhenius equation involves temperature integration. If the frequency factor in the Arrhenius equation depends…