Estimates of the solutions of operator equations under uncertainty

DOI10.1007/s10559-024-00731-1MaRDI QIDQ6660279

P. M. Zinko, T. P. Zinko, O. G. Nakonechnyi

Publication date: 10 January 2025

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

linear operator equationconjugate operatoroperator kernelguaranteed a posteriori error of matrix estimateguaranteed a posteriori estimate of matrixminimum-norm solution of equation

Mathematics Subject Classification ID

Parametric inference (62Fxx) Multivariate analysis (62Hxx) Nonparametric inference (62Gxx)

Cites Work

• Distributed testing and estimation under sparse high dimensional models
• Approximate minimax estimation of functionals of solutions to the wave equation under nonlinear observations
• User-friendly covariance estimation for heavy-tailed distributions
• Matrix estimation by universal singular value thresholding
• Estimation of the Number of Spiked Eigenvalues in a Covariance Matrix by Bulk Eigenvalue Matching Analysis
• Estimates of matrix solutions of operator equations with random parameters under uncertainties

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