11 papers
Geometric turbulence: a geodesic-regression crisis indicator for equity covariance dynamics, with evidence from African markets
E. B. Camara, Y. U. Gaba, I. G. M. Nsiloulou
The covariance matrix of a basket of assets is a symmetric positive-definite object that evolves on a curved manifold, not on a flat vector space. Standard linear regression on its…
A matched-integrator evaluation of Hamiltonian neural networks on pendulum and Kepler dynamics
Lenick Kemunto Nyabuto, Yae Ulrich Gaba, Birahim Tewe
Hamiltonian Neural Networks (HNNs) parameterize conservative dynamics through a learned scalar Hamiltonian, providing an architectural prior that is absent from generic vector-fiel…
On -startpoints and -fixed points in quasi-uniform spaces: a revisit and extensions
Yaé U. Gaba
We extend the $\U$-fixed-point and $\U$-startpoint framework for quasi-uniform spaces. We reformulate the original existence framework through the filter axioms and supply a two-si…
Hybrid LLM-Augmented Reinforcement Learning Agents for Complex Sequential Decision Tasks
Christophe D. Hounwanou, John Emeka Eze, Yaé Ulrich Gaba +1
Large Language Models (LLMs) have recently shown strong capabilities in reasoning, planning, and tool-use, enabling new forms of autonomous agents. However, LLM-based agents strugg…
Expansive homeomorphisms on complexity quasi-metric spaces
Yaé U. Gaba
The complexity quasi-metric of Schellekens is a topological framework in which the asymmetry of computational comparisons -- `` is at most as fast as '' carrying different in…
Intelligent resource allocation in wireless networks via deep reinforcement learning
Marie Diane Iradukunda, Chabi F. Elégbédé, Yaé Ulrich Gaba
This study addresses the challenge of optimal power allocation in stochastic wireless networks by employing a Deep Reinforcement Learning (DRL) framework. Specifically, we design a…