11 papers
Geometric Dissipation Structures and the Koszul Form
Prosper Rosaire Mama Assandje, Frédéric Barbaresco, Romain Nimpa Pefoukeu +2
This paper investigates the canonical Koszul one-form at the interface of Jean Marie Souriau's Lie group thermodynamics and Paulette Libermann's symplectically complete foliations…
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…
On examples of duals Saito's basis of some inhomogeneous divisors, and application
Kamtila Kari, Joseph Dongho, Prosper Rosaire Mama Assandje +1
We investigate a class of non-quasi-homogeneous free divisors in the sense of Saito. These divisors are defined by equations of the form on , where the…
On Logit Weibull Manifold
Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouetou Bouetou
In this work, it is shown that there is no potential function on the Weilbull statistical manifold. However, from the two-parameter Weibull model we can extract a model with a pote…
Deformation quantization of a hessian KV- structure on
Herguey Mopeng, Prosper Rosaire Mama Assandje, Joseph Dongho +1
This paper studies the quantization of the deformation of Hessian structures on a two-dimensional vector space, in the framework of Koszul-Vinberg algebras. We analyze how Hessian…
On KV-Poisson Structure and related invariants
Prosper Rosaire Mama Assandje, Herguey Mopeng, Joseph Dongho
We propose an deepened analysis of KV-Poisson structures of on IR^2. We present their classification their properties an their possible applications in different domains. We prove…
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, Landry Foka Marius, Arnaud Gires Fobasso Tchinda +3
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…
Souriau-Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3)
Prosper Rosaire Mama Assandje, Michel Bertrand Djiadeu Ngaha, Romain Nimpa Pefoukeu +1
We study the generalize Fisher metric on SO(2) and SO(3) via the thermodynamics Lie group theories of Souriau. Then we give the effect of 2-cocycle on the integrability of gradient…
Completely Integrable Gradient System on the bivariate beta statistical manifold
Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouetou Bouetou
This paper investigates the geometry of a completely integrable gradient system defined on the three parameter bivariate beta statistical manifold of the first kind. We prove that…
Riemannian curvature of gaussian distribution in dual coordinate system
Prosper Rosaire Mama Assandje, Dongho Joseph, Thomas Bouetou Bouetou
In this paper, we study the geometric nonlinearity properties, such as curvature and torsion, in a dual coordinate system of the Riemannian manifold defined by the Gaussian distrib…
A Kahlerian approche to the Schrodinger equation in Siegel jacobi Space of the lognormal distribution
Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouetou Bouetou
In this paper, we describe the evolution of spectral curves in the Siegel Jacobi space through the Schrodinger equation constructed from a Kahler geometry induced on the lognormal…