Solution of linear ill-posed problems using overcomplete dictionaries

Preprint, Other literature type English OPEN
Pensky, Marianna (2016)
  • Publisher: The Institute of Mathematical Statistics
  • Journal: (issn: 0090-5364)
  • Related identifiers: doi: 10.1214/16-AOS1445
  • Subject: Mathematics - Statistics Theory | Primary: 62G05, Secondary: 62C10 | 62G05 | Linear inverse problems | Statistics - Methodology | Lasso | oracle inequality | 62C10 | adaptive estimation

In the present paper we consider application of overcomplete dictionaries to solution of general ill-posed linear inverse problems. Construction of an adaptive optimal solution for such problems usually relies either on a singular value decomposition or representation o... View more
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