3 papers
Gradient systems and asymmetric relaxations in view of Riemannian geometry
Alessandro Bravetti, Miguel Ãngel GarcÃa Ariza, José Roberto Romero-Arias
In dually flat manifolds, there is a deep connection between gradient flows and pregeodesics. This was one of the many important contributions of Amari to information geometry. In…
Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel Ãngel GarcÃa-Ariza, Alessandro Bravetti, Pablo Padilla +1
The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks…
Asymmetric Relaxations Through the Lens of Information Geometry
Alessandro Bravetti, Miguel Ãngel GarcÃa Ariza, Pablo Padilla
We frame Newton's Law of Cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse-Carrot Theore…