@article{ahamiltoniandrivengeometricconstructiono, title = {A Hamiltonian driven Geometric Construction of Neural Networks on the Lognormal Statistical Manifold}, author = {Prosper Rosaire Mama Assandje and Teumsa Aboubakar and Thomas Bouetou Bouetou}, year = {2025}, eprint = {2509.25778}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2509.25778}, }