A singular Riemannian geometry approach to Deep Neural Networks I. Theoretical foundations
Alessandro Benfenati, Alessio Marta
Topics & Concepts
Riemannian geometryMathematicsManifold (fluid mechanics)Metric (unit)Riemannian manifoldEuclidean spaceTopology (electrical circuits)Space (punctuation)Artificial neural networkPure mathematicsStatistical manifoldGeometrySequence (biology)Information geometryAlgebra over a fieldArtificial intelligenceComputer scienceCombinatoricsScalar curvatureGeneticsEconomicsOperating systemBiologyEngineeringMechanical engineeringOperations managementCurvatureMorphological variations and asymmetryTopological and Geometric Data Analysis3D Shape Modeling and Analysis