Mystical World of Information Geometry.
Information geometry is a mathematical tool for exploring the world of information using geometry.
towardsdatascience.com/mystical-wor...
#informationgeometry #geometry #informationtheory #datascience #machinelearning #ml #Ai #optimization #topology

Golder & Griffin derive the Laplace-Beltrami spectrum, Green's functions, and quantum wavefunctions for a Bernoulli information manifold, showing the KL-potential harmonic oscillator maps exactly to a quantum pendulum in Euclidean space.

#QuantumPhysics #InformationGeometry #Research

I'm looking to gather material about the practical importance of the sign of curvatures in #informationgeometry .. what are the consequences in practical statistical estimation, if we know that the curvature in the regions of interest is positive/negative? Anyone knows about this?

We establish geometric and statistical properties of geodesic quantum f-divergences, computing explicit Hessian metrics and revealing deep connections to classical hypothesis testing through canonical likelihood surfaces.

#QuantumInformation #InformationGeometry #QuantumMetrics

Who am I, and why am I here? #introduction

I am a machine learning researcher, using tools from #bayes, #stats, #optimization, #InformationGeometry, #deeplearning, signal processing, etc.

I care deeply about people, their well-being, inclusion, diversity, equity, privacy, and justice.

I […]

The Fisher co‑metric, defined directly on the cotangent bundle, links variance to geometry; the revised paper was posted on 4 Oct 2025 and appears in Information Geometry (2024). Read more: https://getnews.me/fisher-co-metric-new-perspective-on-cotangent-bundles/ #informationgeometry #fishermetric

Researchers show variational Bayes often needs natural‑gradient calculations; the Bayesian Learning Rule (BLR) from 2023 enables inference for models with billions of parameters. https://getnews.me/information-geometry-and-variational-bayes-natural-gradients-for-ai/ #informationgeometry #bayes

Beyond metric preservation: build symplectic structural invariance into representation.

arxiv.org/abs/2512.19409

#ReservoirComputing #RepresentationLearning #InformationGeometry #SymplecticGeometry #HamiltonianDynamics #GeometricDeepLearning #DynamicalSystems #PhysicsInformedML

De la dispersion des flux à l'Equivalence : E = m*c² de A.Einstein

💡via E.G Fischer (1813):
Boulliau: I ∝ 1/d²
Rømer: v = d/t
Galilée: S = ½gT², V = √(2gS)
Kepler-Rømer: L ∝ 1/d²
Newton: F = m*a
Lambert-Bouguer: L:l = (AB²):(AE²)

Boulliau → Newton

#InformationGeometry #propagation #diffusion

Wanting to geek out on information geometry I went looking for ways to understand this through category theory.

Information Structure and their cohomology by Juan Pablo Vigneaux.

Pretty dense, working on a visualization.

arxiv.org/abs/1709.07807

#informationgeometry #categorytheory #math #AI