3 papers
q-bio.MN2025
Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel Ángel García-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…
math.AT2024
New divergence measures between persistence diagrams and stability of vectorizations
Alessandro Bravetti, Martín Mijangos, Pablo Padilla
Given a filtration of simplicial complexes, one usually applies persistent homology and summarizes the results in barcodes. Then, in order to extract statistical information from t…
math-ph2024
Asymmetric Relaxations Through the Lens of Information Geometry
Alessandro Bravetti, Miguel Ángel García 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…