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math.OC2026
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,…
math.OC2025
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…
math.OC2024
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…