Sökning: id:"swepub:oai:DiVA.org:ltu-94998" >
A Linear System Out...
A Linear System Output Transformation for Sparse Approximation*
-
- Tyshchuk, O. V. (författare)
- Roku Inc., Kyiv, Ukraine
-
- Desiateryk, O. O. (författare)
- Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
-
- Volkov, O. E. (författare)
- International Research and Training Center for Information Technologies and Systems of the NAS of Ukraine and the MES of Ukraine, Kyiv, Ukraine
-
visa fler...
-
- Revunova, E. G. (författare)
- International Research and Training Center for Information Technologies and Systems of the NAS of Ukraine and the MES of Ukraine, Kyiv, Ukraine
-
- Rachkovskij, Dmitri (författare)
- Luleå tekniska universitet,Datavetenskap,International Research and Training Center for Information Technologies and Systems of the NAS of Ukraine and the MES of Ukraine, Kyiv, Ukraine
-
visa färre...
-
Roku Inc, Kyiv, Ukraine Taras Shevchenko National University of Kyiv, Kyiv, Ukraine (creator_code:org_t)
- 2022-12-02
- 2022
- Engelska.
-
Ingår i: Cybernetics and Systems Analysis. - : Springer. - 1060-0396 .- 1573-8337. ; 58:5, s. 840-850
- Relaterad länk:
-
https://urn.kb.se/re...
-
visa fler...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- We propose an approach that provides a stable transformation of the output of a linear system into the output of a system with the desired basis. The matrix of basis functions of the linear system has a large condition number, and the series of its singular numbers gradually decreases to zero. Two types of methods for stable output transformation are developed using the approximation of matrices based on the truncated Singular Value Decomposition and on the Random Projection with different types of random matrices. It is shown that the use of the output transformation as preprocessing increases the accuracy of solving sparse approximation problems. An example of using the method to determine the activity of weak radiation sources is considered.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Nyckelord
- discrete ill-posed problem
- random projection
- singular value decomposition
- sparse approximation
- Dependable Communication and Computation Systems
- Kommunikations- och beräkningssystem
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas