The '''probabilistic learning on manifolds''' (PLoM) is a novel type [[machine learning]] technique, to construct learned datasets from a given small dataset. Originally proposed by [[Christian Soize]] and [[Roger Ghanem]]<ref>[https://www.sciencedirect.com/science/article/pii/S0021999116301899 Data-driven probability concentration and sampling on manifold]</ref> in 2016, the methodology has been gaining ground in several [[machine learning]] applications in [[computational science and engineering]], especially in [[inverse problems]], [[optimization]], and [[uncertainty quantification]], where it is often necessary to constructevaluate learnedan datasetsextremely fromcostly function defined by a givencomputational small datasetmodel.
