4 papers
Statistical Properties of the Rooted-Tree Encoding of
Pierluigi Contucci, Claudio Giberti, Godwin Osabutey +1
We prime-encode the natural numbers via recursive factorisation, iterated to the exponents, generating a corpus of planar rooted trees equivalently represented as Dyck words. This…
A New Lens on the Sustainability of the AI Revolution
Pierluigi Contucci, Godwin Osabutey, Filippo Zimmaro
We introduce the Economic Productivity of Energy (EPE), GDP generated per unit of energy consumed, as a quantitative lens to assess the sustainability of the Artificial Intelligenc…
Hybrid Geometry-Adaptive MCMC for Bayesian Inference in Higher-Order Ising Models
Godwin Osabutey, Robert Richardson, Garritt L. Page
We address the inverse problem for the mean-field Ising model with two- and three-body interactions using a Bayesian framework. Parameter recovery in this setting is notoriously di…
Limit theorems for the non-convex multispecies Curie-Weiss model
Francesco Camilli, Emanuele Mingione, Godwin Osabutey
We study the thermodynamic properties of the generalized non-convex multispecies Curie-Weiss model, where interactions among different types of particles (forming the species) are…