caa a22 4500 60551870X CHVBK 20210128100726.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s10559-015-9791-0 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9791-0 Revunova E. International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine aut Analytical Study of Error Components for Solving Discrete Ill-Posed Problems Using Random Projections [Elektronische Daten] [E. Revunova] This article analytically studies the dependence of components of the error of reconstructing the true signal on the number of rows of a random projection matrix. It is shown that, with increasing the dimension of the random projector, the deterministic error component decreases and the stochastic one increases. Expressions are obtained for calculating the interval of noise levels that ensure the availability of the global minimum of the error. The analytical results are confirmed by numerical experiments. Springer Science+Business Media New York, 2015 discrete ill-posed problem nationallicence regularization nationallicence random projection nationallicence error component nationallicence minimum error nationallicence Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 978-991 1060-0396 51:6<978 2015 51 10559 https://doi.org/10.1007/s10559-015-9791-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9791-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Revunova E. International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/6(2015-11-01), 978-991 1060-0396 51:6<978 2015 51 10559