A randomized method for solving discrete ill-posed problems

DA Rachkovskij, EG Revunova - Cybernetics and Systems Analysis, 2012 - Springer
An approach is proposed to the stable solution of discrete ill-posed problems on the basis of
a combination of random projection of the initial ill-conditioned matrix with an ill-defined …

Model selection criteria for a linear model to solve discrete ill-posed problems on the basis of singular decomposition and random projection

EG Revunova - Cybernetics and Systems Analysis, 2016 - Springer
Criteria are developed to determine the optimal number of components of a linear model in
solving a discrete ill-posed problem by the methods of truncated singular value …

Averaging over matrices in solving discrete ill-posed problems on the basis of random projection

EG Revunova - 2017 12th International Scientific and Technical …, 2017 - ieeexplore.ieee.org
Averaging over matrices in solving discrete ill-posed problems on the basis of random projection
Page 1 CSIT 2017, 05 – 08 September, 2017, Lviv, Ukraine 473 Averaging over matrices in …

[PDF][PDF] Using randomized algorithms for solving discrete ill-posed problems

EG Revunova, DA Rachkovskij - Information Theories and Applications, 2009 - foibg.com
In this paper, we develop an approach for improving the accuracy and speed of the solution
of discrete ill-posed problems using the pseudo-inverse method. It is based on a random …

Solution of the discrete ill-posed problem on the basis of singular value decomposition and random projection

EG Revunova - Advances in Intelligent Systems and Computing II …, 2018 - Springer
A brief overview of our work on the solution of DIP is presented. The stable solution of DIP
we obtained, by truncated singular value decomposition and by random projection methods …

Increasing the accuracy of solving discrete ill-posed problems by the random projection method

EG Revunova - Cybernetics and Systems Analysis, 2018 - Springer
To solve discrete ill-posed problems by the random projection method, the error bias and
variance that arise from averaging over the random matrix realizations are studied. An …

[PDF][PDF] INFORMATION THEORIES & APPLICATIONS

A Timofeev, I Mitov, A Voloshin, J Castellanos… - 1993 - Citeseer
INFORMATION THEORIES & APPLICATIONS Page 2 International Journal" Information
Theories & Applications" Vol. 10 122 International Journal INFORMATION THEORIES & …