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 …

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 …

We analyze the estimation of the angle, scalar product, and the Euclidean distance of real-
valued vectors using binary vectors with controlled sparsity. Transformation is carried out by …

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 …

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 …

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 …

An approach to a stable transformation of the output of a linear system into the output of a
linear system with some particular basis is proposed. To provide stability, we use two …

Èíôîðìàòèêà è èíôîðìàöèîííûå òåõíîëîãèè Page 1 ISSN 2519-2205 (Online), ISSN 0454-9910
(Print). Киб. и выч. техн. 2018. № 3 (193) Èíôîðìàòèêà è èíôîðìàöèîííûå òåõíîëîãèè DOI: https://doi.org/10.15407/kvt192.03.005 …

Для розв'язання дискретних некоректних задач на основі аналітичного усереднення
випадкового проектування розроблено метод визначення оптимальної розмірності …

Results. Comparison of TSVD and MUSIC (implemented in real numbers) when working
with correlated sources and five snapshots showed the advantage of TSVD in terms of the …