Publications
Books
- Valeriya Naumova:
Numerical Methods for Diabetes Technology: Mathematical Algorithms for a Better Management of Type 1 Diabetes,
LAP LAMBERT Academic Publishing.
Book chapters
- Katerina Hlavackova-Schindler, Valeriya Naumova, Sergiy Pereverzyev Jr:
Granger Causality for Ill-Posed Problems: Ideas, Methods, and Application in Life Sciences
A. von Eye, and W. Wiedermann (Eds.), Causality and Statistics. Methods for Applied Empirical Research. Hoboken, NJ: Wiley, 2016.
- Valeriya Naumova, Lucian Nita, Jens Ulrik Poulsen, Sergey V. Pereverzyev:
Meta-learning based Blood Glucose Predictor for Diabetic Smartphone App
Springer Lecture Notes in Bioengineering, 2016.
Refereed journal papers
- Markus Grasmair and Valeriya Naumova:
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization
submitted, 2015.
- Katerina Hlavackova-Schindler, Valeriya Naumova, Sergiy Pereverzyev Jr:
Multi-penalty regularization for detecting relevant variables
submitted, 2015.
- Shuai Lu, Valeriya Naumova, Sergey V. Pereverzyev:
Numerical Differentiation by means of Legendre Polynomials in the presence of Square Summable Noise
submitted, 2014.
- Valeriya Naumova, Steffen Peter:
Minimization of multi-penalty functionals by alternating iterative thresholding and optimal parameter choices
Inverse Problems, vol. 30, 125003, 2014, 34 pp.
- Massimo Fornasier, Valeriya Naumova, Sergey V. Pereverzyev:
Parameter Choice Strategies for Multi-Penalty Regularization
SIAM Journal on Numerical Analysis, vol. 52, 2014, pp. 1770–1794.
- Valeriya Naumova, Sergei V. Pereverzyev, Pavlo Tkachenko:
Regularized collocation for Spherical harmonics Gravitational Field Modeling
International Journal on Geomathematics, vol. 5, 2014, pp. 81-98.
- Hrushikesh N. Mhaskar, Valeriya Naumova, Sergey V. Pereverzyev:
Filtered Legendre Expansion Method for Numerical Differentiation at the Boundary Point with Application to Blood Glucose Predictions
Applied Mathematics and Computation, vol. 224, 2013, pp. 835-847.
- Valeriya Naumova, Sergey V. Pereverzyev:
Multi-Penalty Regularization with a Component-Wise Penalization
Inverse Problems, vol. 29, 075002, 2013, 16pp.
- Valeriya Naumova, Sergey V. Pereverzyev:
Blood Glucose Predictors: an Overview on How Recent Developments Help to Unlock the Problem of Glucose Regulation
Recent Patents on Computer Science, vol. 5, 2012, pp.1-11.
- Shuai Lu, Valeriya Naumova, Sergey V. Pereverzyev:
Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise
Journal of Inverse and Ill-posed Problems, vol. 20, 2012, pp.1-22.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
A Meta-Learning Approach to the Regularized Learning – Case Study: Blood Glucose Prediction
Neural Networks, vol. 33, 2012, pp. 181-193.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology
Journal of Complexity, vol. 28, 2012, pp. 524-538.
- Sivananthan Sampath, Valeriya Naumova, Chiara Dalla Man, Andrea Facchinetti, Eric Renard, Claudio Cobelli, and Sergey V. Pereverzyev, :
Assessment of Blood Glucose Predictors: The Prediction-Error Grid Analysis
Diabetes Technol Ther, vol. 13, no. 8, 2011, pp. 787-796.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Extrapolation in variable RKHSs with application to the blood glucose reading
Inverse Problems, vol. 27, 075010, 2011, 13 pp.
Conference papers / Research reports
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Learning in variable RKHSs with application to the blood glucose reading
Dagstuhl Report ``Algorithms and Complexity for Continuous Problems'' (Dagstuhl Seminar 12391) vol. 2, no. 9, 2013, pp. 213–214.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
A Meta-Learning Approach to the Adaptive Regularization – Case Study: Blood Glucose Prediction
Mathematisches Forschungsinstitut Oberwolfach, Report No 51/2012, Oberwolfach, Germany.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Learning in variable RKHSs with application to the blood glucose reading
Mathematisches Forschungsinstitut Oberwolfach, Report No 51/2012, Oberwolfach, Germany.
- Shuai Lu, Valeriya Naumova, Sergey V. Pereverzyev:
Numerical Differentiation by means of Legendre Polynomials in the presence of Square Summable Noise
RICAM Report No 2012-15, April 2012.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Regularization in variable RKHSs with application to the blood glucose reading
Mathematisches Forschungsinstitut Oberwolfach, Report No 31/2012, Oberwolfach, Germany.
- Valeriya Naumova, Sergey V. Pereverzyev, Sivananthan Sampath:
Reading Blood Glucose from Subcutaneous Electric Current by Means of a Regularization in Variable Reproducing Kernel Hilbert Spaces
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, Fl USA, December 2011, pp. 5158-5163.