Analytical Study of Error Components for Solving Discrete Ill-Posed Problems Using Random Projections
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| 024 | 7 | 0 | |a 10.1007/s10559-015-9791-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10559-015-9791-0 | ||
| 100 | 1 | |a Revunova |D E. |u International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine |4 aut | |
| 245 | 1 | 0 | |a Analytical Study of Error Components for Solving Discrete Ill-Posed Problems Using Random Projections |h [Elektronische Daten] |c [E. Revunova] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a discrete ill-posed problem |2 nationallicence | |
| 690 | 7 | |a regularization |2 nationallicence | |
| 690 | 7 | |a random projection |2 nationallicence | |
| 690 | 7 | |a error component |2 nationallicence | |
| 690 | 7 | |a minimum error |2 nationallicence | |
| 773 | 0 | |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/6(2015-11-01), 978-991 |x 1060-0396 |q 51:6<978 |1 2015 |2 51 |o 10559 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10559-015-9791-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10559-015-9791-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Revunova |D E. |u International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences and Ministry of Education and Science of Ukraine, Kyiv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Cybernetics and Systems Analysis |d Springer US; http://www.springer-ny.com |g 51/6(2015-11-01), 978-991 |x 1060-0396 |q 51:6<978 |1 2015 |2 51 |o 10559 | ||