Riemannian Geometry and Statistical Machine Learning

Statisticalmachinelearningalgorithmsdealwiththeproblemofselectinganappropriatestatisticalmodelfromamodelspacebasedonatrainingset{xi}Ni=1⊂Xor{(xi,yi)}Ni=1⊂X×Y.IndoingsotheyeitherimplicitlyorexplicitlymakeassumptionsonthegeometriesofthemodelspaceandthedataspaceX.Suchassumpt