Former Member

Dr. Pavlo Tkachenko

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Pavlo Tkachenko

Peer Reviewed Journal Publication
  • Kriukova, Galyna; Pereverzyev, Sergiy, Jr.; Tkachenko, Pavlo (2017) Nystrom type subsampling analyzed as a regularized projection. Inverse Probl., Bd. 33 (7), S. ARTN 074001.
  • Galyna Kriukova, Sergiy Pereverzyev Jr and Pavlo Tkachenko (2017) Nyström type subsampling analyzed as a regularized projection. Inverse problems, Bd. 33 (7), S. 074001 <'http://iopscience.iop.org/0266-5611/33/7/074001'>. (link)
  • Tkachenko, Sergei V. Pereverzyev and Pavlo (2017) Regularization by the Linear Functional Strategy with Multiple Kernels. Frontiers in Applied Mathematics and Statistics, S. 9 <'http://journal.frontiersin.org/article/10.3389/fams.2017.00001/full'>. (link)
  • Gerhards, Christian; Jr., Sergiy Pereverzyev; Tkachenko, Pavlo (2017, online: 2016) A parameter choice strategy for the inversion of multiple observations. Advances in Computational Mathematics, Bd. 43 (1), S. 101-112 <'http://link.springer.com/article/10.1007/s10444-016-9477-9?wt_mc=Internal.Event.1.SEM.ArticleAuthorAssignedToIssue'>. (link)
  • Sampath, Sivananthan; Tkachenko, Pavlo; Renard, Eric; Pereverzev, Sergei V. (2016, online: 2016) Glycemic Control Indices and Their Aggregation in the Prediction of Nocturnal Hypoglycemia From Intermittent Blood Glucose Measurements. Journal of Diabetes Science and Technology, Bd. 10, S. 1245-1250 <'http://dst.sagepub.com/content/10/6/1245.abstract'>. (link)
  • Tkachenko, Pavlo; Kriukova, Galyna; Aleksandrova, Marharyta; Chertov, Oleg; Renard, Eric et al. [..] (2016) Prediction of nocturnal hypoglycemia by an aggregation of previously known prediction approaches: proof of concept for clinical application. Computer Methods and Programs in Biomedicine, Bd. 134, S. 179-186 <'http://www.cmpbjournal.com/article/S0169-2607(16)30164-X/abstract'>. (link)
  • Tkachenko, Pavlo (2016, online: 2015) Regularization by Aggregation of Global and Local Data on the Sphere. Computational Methods in Applied Mathematics, Bd. 16 (2), S. 299–307 <'http://www.degruyter.com/view/j/cmam.2016.16.issue-2/cmam-2015-0039/cmam-2015-0039.xml?format=INT'>. (link)
  • Kriukova, Galyna; Pereverzyev, Sergei; Tkachenko, Pavlo (2016, online: 2015) On the convergence rate and some applications of regularized ranking algorithms. Journal of Complexity, Bd. 33, S. 14-29.
  • Cao, Hui; Pereverzyev, Sergei V; Sloan, Ian H; Tkachenko, Pavlo (2016, online: 2015) Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Applied Mathematics and Computation, Bd. 273, S. 993-1005. (link)
  • Kriukova, Galyna; Panasiuk, Oleksandra; Pereverzyev, Sergei V; Tkachenko, Pavlo (2016, online: 2015) A linear functional strategy for regularized ranking. Neural networks, Bd. 73, S. 26-35. (link)
  • Pereverzyev, S. V.; Sloan, I. H.; Tkachenko, P. (2015, online: 2015) Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. SIAM Journal on Numerical Analysis, Bd. 53 (2), S. 820-835. (link)
  • Pereverzyev, S. V.; Tkachenko, P. (2015, online: 2015) Pointwise Computation in an Ill-Posed Spherical Pseudo-Differential Equation. Computational Methods in Applied Mathematics, Bd. 15 (2), S. 213–219. (link)
  • Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2014, online: 2013) Regularized collocation for spherical harmonics gravitational field modeling. International Journal on Geomathematics, Bd. 5 (1), S. 17. (link)
  • Christian Gerhalds, Sergiy Pereverzyev Jr. and Pavlo Tkachenko (online: 2017) Joint Inversion of Multiple Observations. Handbook of Mathematical Geodesy Geosystems Mathematics, S. 861-888.

Dissertation
  • Tkachenko, Pavlo (2016) Regularization in RKHS with applications in geoscience and learning theory. Doktorarbeit, Johann Radon Institute for Computational and Applied Mathematics, Johannes Kepler University, Linz.

Research Report
  • Kriukova, Galyna; Pereverzyev Jr, Sergiy; Tkachenko, Pavlo (2016, online: 2016) Nyström type subsampling analyzed as a regularized projection. Bericht-Nr. 22; Innsbruck. (link)
  • Gerhards, Christian; Jr., Sergei Pereverzyev; Tkachenko, Pavlo (2015, online: 2015) A Parameter Choice Strategy for the Inversion of Multiple Observations. Bericht-Nr. 20; Leopold-Franzens-Universität Innsbruck: Innsbruck. (link)
  • Kriukova, Galyna; Panasiuk, Oleksandra; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2015) A Linear Functional Strategy for Regularized Ranking. Bericht-Nr. 2015-13; RICAM: Linz. (link)
  • Kriukova, Galyna; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2014, online: 2014) On the convergence rate and some applications of regularized ranking algorithms. Bericht-Nr. 2014-21; RICAM: Linz. (link)
  • Cao, Hui; Pereverzyev, Sergei; Sloan, Ian H.; Tkachenko, Pavlo (2014, online: 2014) Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions. Bericht-Nr. 2014-17; RICAM: Linz. (link)
  • Pereverzyev, Sergei V.; Sloan, Ian H.; Tkachenko, Pavlo (2014, online: 2014) Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere. Bericht-Nr. 2014-04; RICAM: Linz. (link)
  • Pereverzyev, Sergiy V.; Tkachenko, Pavlo (2014, online: 2014) Approximation of the solution of an ill-posed spherical pseudo-differential equation at a given point. RICAM: Linz. (link)
  • Naumova, Valeriya; Pereverzyev, Sergei V.; Tkachenko, Pavlo (2013, online: 2013) Regularized collocation for Spherical harmonics Gravitational Field Modeling. Bericht-Nr. 2013-12; RICAM: Linz. (link)