Very high dimensional semiparametric models play a major role in many areas, in particular in signal detection problems when sparse signals or sparse events are hidden among high dimensional noise. Concrete examples are genomic studies in biostatistics or imaging problems. In a broad context all kind of statistical inference and model selection problems were discussed for high dimensional data.
Cite this article
Arnold Janssen, Aad van der Vaart, Jon A. Wellner, Very High Dimensional Semiparametric Models. Oberwolfach Rep. 8 (2011), no. 4, pp. 2745–2779DOI 10.4171/OWR/2011/48