Determining point distributions from their projections

Aingeru Fernandez-Bertolin (1) , Philippe Jaming (1) , Karlheinz Gröchenig (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 Fakultät für Mathematik [Wien]

Determining a set of points in R d from its projection on lower dimensional spaces is a common task in data analysis. The aim of this note is to overview some general results from the 50s that might have been overlooked in the data analysis community and then to summerize our recent work on the subject in which the data is assumed to be supported on a quadratic manifold. Special attention is devoted to the spherical case.

Domaines: Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Aingeru Fernandez-Bertolin, Philippe Jaming, Karlheinz Gröchenig. Determining point distributions from their projections. SAMPTA2017, Jul 2017, Tallinn, Estonia. ⟨hal-01514073⟩