3 papers
math.DG2026
Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(R) and Galilei group SGal(3)
Prosper R. Mama Assandje, R. Nimpa Pefoukeu, Michel B. Djiadeu Ngaha +2
In this work, we compare the De Rham cohomology and the Koszul-Vinberg cohomology groups on the Lie groups SO(2), H3(R) and SGal(3). We model their interactions by constructing a t…
cs.LG2026
A Hamiltonian driven Geometric Construction of Neural Networks via the Lognormal family, Application to Financial Fraud Detection and to Network Security
Prosper Rosaire Mama Assandje, Teumsa Aboubakar, Landry Foka Marius +5
We presents a method for constructing neural networks intrinsically on statistical manifolds via the lognormal distribution. We demonstrate this approach by formulating a neural ne…
math.OC2025
Optimization of Radar Search Patterns for Multiple Scanning Missions in Localized Clutter
Yann Briheche, Frédéric Barbaresco, Fouad Bennis +1
Electronic Phased-Array Radars offer new possibilities for Optimization of Radar Search Pattern by using bi-dimensional beam forming and beam steering, along both elevation and azi…