[PDF][PDF] Randomization approach to the reconstruction of signals resulted from indirect measurements

EG Revunova - Proc. ICIM, 2013 - astrid.irtc.org.ua
Proc. ICIM, 2013astrid.irtc.org.ua
This paper proposes an approach to the stable solution of the output transformation
problem, based on random projections and QR-decomposition. The behavior of the error
and its components depending on the projection matrix dimension is experimentally
investigated. For a randomized method of solving discrete ill-posed problem, the
dependence of the error on the dimension of the projection matrix is investigated.
Abstract
This paper proposes an approach to the stable solution of the output transformation problem, based on random projections and QR-decomposition. The behavior of the error and its components depending on the projection matrix dimension is experimentally investigated. For a randomized method of solving discrete ill-posed problem, the dependence of the error on the dimension of the projection matrix is investigated.
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