activity
20142026
most citedCharacterization theorem for best polynomial spline approximation with free knots

14 citations · 48 across the 28 of their papers we have counts for

collaborators

32 papers

math.OC2026

Conditional gradient methods on unbounded feasible regions

R. Díaz 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…

math.OC2023

A comparison of rational and neural network based approximations

Vinesha Peiris, Reinier Diaz Millan, Nadezda Sukhorukova +1

Rational and neural network based approximations are efficient tools in modern approximation. These approaches are able to produce accurate approximations to nonsmooth and non-Lips…

math.CO2022

Edge connectivity of simplicial polytopes

Vincent Pilaud, Guillermo Pineda-Villavicencio, Julien Ugon

We show that the graph of a simplicial polytope of dimension has no nontrivial minimum edge cut with fewer than edges, hence the graph is …

math.CO2022

Exact Counts of s in Blow-Up Graphs

S. Y. Chan, K. Morgan, J. Ugon

Cycles have many interesting properties and are widely studied in many disciplines. In some areas, maximising the counts of -cycles are of particular interest. A natural candida…