Metric Analysis as a Tool for Interpolating Multivariate Functions in the Case of an Information Lack

  • Alexander KryanevEmail author
  • Gleb Lukin
  • David Udumyan
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 678)


In report the ill-posed problems in view arising at the solution of applied problems by means of the metric analysis are considered. In the report new schemes and algorithms for smoothing and restoration based on the metric analysis were presented. These schemes and algorithms have demonstrated a high accuracy of smoothing and retrieving the values of functions of one or many variables. Examples of such problems are problems of interpolation, filtration and forecasting of values of functions of one and many variables claimed at the solution of applied problems physicists, technicians, economy and other areas of researches.


Function of many variables Interpolation Ill-posed problems Metric analysis 



The reported study was funded within the Agreement No 02.a03.21.0008 dated 24.04.2016 between the Ministry of Education and Science of the Russian Federation and RUDN University.


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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  • Alexander Kryanev
    • 1
    Email author
  • Gleb Lukin
    • 1
  • David Udumyan
    • 1
    • 2
    • 3
  1. 1.National Research Nuclear University “MEPhI”MoscowRussia
  2. 2.Department of Applied Probability and InformaticsRUDN University (Peoples’ Friendship University of Russia)MoscowRussia
  3. 3.Department of MathematicsThe College of Arts and Sciences at the University of MiamiCoral GablesUSA

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