Burcu Tunga, Ph.D.

Burcu TUNGA, Ph.D.

İstanbul Technical University, Faculty of Science and Letters
Mathematics Engineering Department

  • JOURNAL PAPERS (Indexed in SCI)

    1. E. K. Özay, B. Tunga,"A Novel Method for Multispectral Image Pansharpening Based on HDMR", Expert Systems with Applications, 170 114512 2021.

    2. B. Tunga and A. Koçanaoğulları, "Digital image decomposition and contrast enhancement using high-dimensional model representation”, Signal, Image and Video Processing, 12 (2), 299–306, 2018.

    3. B. Tunga, "A Hybrid Algorithm with Cluster Analysis in Modelling High Dimensional Data”, Discrete Applied Mathematics, 235, 161-168, 2018.

    4. B. Tunga and M. Demiralp, "Weight Optimization in HDMR with Perturbation Expansion Method", Journal of Mathematical Chemistry, 53(10), 2155-2171, 2015.

    5. S. Tuna and B. Tunga, "Representing Multivariate Functions Through a Piecewise Model Using Universal Matrix Representation", Journal of Mathematical Chemistry, 51, 1784–1801, 2013.

    6. M. Demiralp and B. Tunga, "A Probabilistic Evolution Approach Trilogy, Part 3: Temporal Variation of State Variable Expectation Values from Liouville Equation Perspective", Journal of Mathematical Chemistry, 51, 1198–1210, 2013.

    7. B. Tunga and M. Demiralp, "Hybrid HDMR Method with an Optimized Hybridity Parameter in Multivariate Function Representation", Journal of Mathematical Chemistry, 50, 2223–2238, 2012.

    8. B. Tunga and M. Demiralp, "A Novel Approximation Method for Multivariate Data Partitioning: Fluctuation Free Integration Based HDMR", Engineering Computations, 29(7), 743 – 765, 2012.

    9. B. Tunga and M. Demiralp, "Constancy Maximization Based Weight Optimization in High Dimensional Model Representation for Multivariate Functions", Journal of Mathematical Chemistry, 49(9), 1996-2012, 2011.

    10. B. Tunga and M. Demiralp, "Fluctuation Free Multivariate Integration Based Logarithmic HDMR in Multivariate Function Representation", Journal of Mathematical Chemistry, 49, 894–909, 2011.

    11. B. Tunga and M. Demiralp, "The Influence of the Support Functions on the Quality of Enhanced Multivariance Product Representation", Journal of Mathematical Chemistry, 48(3), 827–840, 2010.

    12. B. Tunga and M. Demiralp, "Constancy Maximization Based Weight Optimization in High Dimensional Model Representation", Numerical Algorithms, 52(3), 435-459, 2009.

  • JOURNAL PAPERS (Indexed in other databases)

    1. B. Tunga and M. Weber, "Free Energy Calculation Using Mayer Cluster Expansion and Fluctuation Free Integration", ZIB report, 12-35, 2012.

    2. S. Tuna, B. Tunga, N. A. Baykara and M. Demiralp, "Fluctuation Free Matrix Representation Based Univariate Integration in Hybrid High Dimensional Model Representation (HHDMR) Over Plain and Factorized HDMR", WSEAS Transactions on Mathematics, 8(6), 225-230,2009.

    3. B. Tunga and M. Demiralp, "A Nonlinear Perturbative Scheme to Solve Weight Optimization Problem of High Dimensional Model Representation (HDMR)", WSEAS Transactions on Mathematics, 8(6), 231-237, 2009.

    4. M. Demiralp and B. Tunga, "Instantaneous Stability and Robustness Investigations in Quantum Optimal Control: Harmonic Oscillator Under Linear Dipole and Quadratic Control Agents, Appl. Num. Anal. Comp. Math., 2, No. 1, 60-69, 2005.

    5. B. Tunga and M. Demiralp, "Optimally Controlled Dynamics of One Dimensional Harmonic Oscillator: Linear Dipole Functions and Quadratic Penalty", Appl. Num. Anal. Comp. Math., 1, No. 1, 242-250, 2004.

    6. B. Tunga and M. Demiralp, "Hybrid High Dimensional Model Representation Approximants and Their Utilization in Applications", Mathematical Research, 9, 438-446, 2003.

  • CONFERENCE PROCEEDINGS

    1. S. Kaçar, B. Tunga, "Image Denoising using Enhanced Multivariance Products Representation (EMPR)", Accepted for ICNPAA 2021.

    2. A. Saatci, B. Tunga, "A New Method for Face Recognition Using High Dimensional Model Representation", Accepted for ICNPAA 2021.

    3. A. Ceylan, B. Tunga, E.K. Özay, "Color to Grayscale Image Conversion Using High Dimensional Model Representation", 29. IEEE Conference on Signal Processing and Communication Applications, SIU 2021.

    4. E.K. Özay, B. Tunga, "Hyperspectral Image Denoising with Enhanced Multivariance Product Representation", 29. IEEE Conference on Signal Processing and Communication Applications, SIU 2021.

    5. U.C. Akdağ, B. Tunga, "Predicting The Direction of Stock Market Prizes With Machine Learning Algorithms", 3. Ulusal Başkent Disiplinler Arası Bilimsel Çalışmalar Kongresi, 14-16 Mart 2021.

    6. N. Dere and B. Tunga, "License Plate Recognition System by Using High Dimensional Model Representation", 2nd International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT 2018), October 19-21 , Ankara, Turkey, 2018, pp. 1-5.

    7. N. Beken, M. Balkaya, N. Balkaya, B. Tunga, M.A. Tunga, “Hafriyat Atıklarının Değerlendirilmesinin Çevre, İnşaat ve Ekonomik Açıdan İrdelenmesi”, 8. Ulusal Katı Atık Yönetimi Kongresi UKAY 2016, 11-14 Mayıs 2016, Kastamonu.

    8. A. Karcılı and B. Tunga, "High dimensional model representation (HDMR) with clustering for image retrieval", ICNPAA 2016 World Congress: International Conference in Nonlinear Problems in Aviation and Aerospace (July 5-8, 2016 La Rochelle, France), AIP Conference Proceedings, 1798, 2016.

    9. O. Kuş and B. Tunga, "Image Restoration Through Tridiagonal Matrix Enhanced Multivariance Products Representation (TMEMPR)", 8th International Conference on Image Processing, Wavelet and Applications (IWW 2016), 1-7, September 22-24, 2016, Istanbul, Turkey.

    10. B. Tunga, "Separate Multinode Ascending Derivatives Expansion (Demiralp's SMADE): Basis Polynomials", ICCMSE 2015 11th International Conference of Computational Methods in Sciences and Engineering (March 20-23, 2015 Athens, Greece), AIP Conference Proceedings, 1702, 170011, 2015.

    11. B. Tunga, "Logaritmic High Dimensional Model Representation in Image Processing", ICNPAA 2014 World Congress: 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (July 15-18, 2014 Narvik, Norway), AIP Conference Proceedings1637, 1120-1126.

    12. E.M. Altin, and B. Tunga, "High Dimensional Model Representation in Image Processing", Proceedings of the 2014 International Conference on Computational and Mathematical Methods in Science and Engineering, July 3-7, Vol I, pp. 55-64, Cadiz, Spain, 2014.

    13. B. Tunga, "Mobius Transformational Enhanced Multivariance Product Representation Through Fluctuation Free Integration", Proceedings of the 1st WSEAS International Conference on Optimization Techniques in Engineering (OTENG '13), October 8-10, 196-200, Antalya, Turkey, 2013.

    14. G. Ozdemir and B. Tunga, "Mobius Transformational Enhanced Multivariance Product Representation", Proceedings of the 1st WSEAS International Conference on Optimization Techniques in Engineering (OTENG'13), October 8-10, 217-221, Antalya, Turkey, 2013.

    15. B. Tunga, "Multivariate Data Modelling Through Factorized HDMR with Optimized Weight Factors", 13th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2013), June 24-27, 1331-1341, Almeria, Spain 2013.

    16. S. Tuna and B. Tunga, "Node Optimization Through Enhanced Multivariance Product Representation (EMPR)", 13th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2013), June 24-27, 1322-1330, Almeria, Spain, 2013.

    17. B. Tunga and M. Demiralp, "Probabilistic Evolutions in Classical Dynamics: Conicalization and Block triangularization of Lennard-Jonnes Systems", 10th International Conference of Numerical Analysis and Applied Mathematics, AIP Conf. Proc., September, 19-25, Kos, Greece 2012.

    18. B. Tunga and M. Demiralp, "Close-Pack Approach to the Evaluation of Classical Two Particle Cluster Integral for Lennard-Jonnes Potential", August, 19-25, 235-240 Istanbul, Turkey, 2012.

    19. B. Tunga and M. Demiralp, "Probabilistic Evolution of the State Variable Expected Values in Liouville Equation Perspective, for a Many Particle System Interacting Via Elastic Forces", Proceeding of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE, July, 2-5, 1186- 1197, Murcia, Spain, 2012.

    20. B. Tunga and M. Demiralp, "Basic Issues in Vector High Dimensional Model Representation", 9th International Conference of Numerical Analysis and Applied Mathematics, AIP Conf. Proc. 1389, 1143-1146, September, 19-25, Halkidiki, Greece, 2011.

    21. B. Tunga and M. Demiralp, "A Node Optimization in Piecewise HDMR", The 2nd International Symposium on Computing in Science & Engineering (ISCSE 2011), June 01-04, Kusadasi, Turkey, 2011.

    22. B. Tunga and M. Demiralp, "An Iterative Enhanced Multivariance Product Representation Scheme for Multivariate Function Decomposition", International Conference on Applied Computer Science, 247-253 Malta, September 15-17 2010.

    23. B. Tunga and M. Demiralp, "Support Function Influences on the Univariance of the Enhanced Multivariance Product Representation",Seventh International Conference of Computational Methods in Sciences and Engineering, Rhodes, Greece, 2009.

    24. S. Tuna, B. Tunga, N. A. Baykara and M. Demiralp, "Fluctuation Free Matrix Representation Based Univariate Integration in Hybrid High Dimensional Model Representation (HHDMR) Over Plain and Factorized HDMR", 2nd WSEAS International Conference on Multivariate Analysis and its Application in Science and Engineering (MAASE '09), 112-117, May 30-June 01, 2009, Istanbul, Turkey.

    25. B. Tunga and M. Demiralp, "A Nonlinear Perturbative Scheme to Solve Weight Optimization Problem of High Dimensional Model Representation (HDMR)", 2nd WSEAS International Conference on Multivariate Analysis and its Application in Science and Engineering (MAASE '09), 118-124, May 30-June 01, 2009, Istanbul, Turkey.

    26. B. Tunga and M. Demiralp, "Fluctuationlessness Approximation Based Multivariate Integration in Hybrid High Dimensional Model Representation", AIP Conference Proceedings 1048, 562-565, Kos Greece, 2008.

    27. B. Tunga and M. Demiralp, "Fluctuationlessness Approximation Towards Orthogonal Hyperprismatic Grid Construction", 1st WSEAS International Conference on Multivariate Analysis and its Application in Science and Engineering (MAASE '08), 193-197, 27-30 May, 2008, Istanbul, Turkey.

    28. B. Tunga and M. Demiralp, "A Novel Hybrid High Dimensional Model Representation HHDMR) Based on the Combination of Plain and Logarithmic High Dimensional Model Representations", 12th WSEAS International Conference on Applied Mathematics, Applied Mathematics for Science and Engineering, 157-161, 29-31 December, 2007, Cairo, Egypt 2007.

    29. B. Tunga and M. Demiralp, "Instantaneous Series in Stability and Robustness Investigations for Quantum Optimal Control: Harmonic Oscillator", International Conference on Numerical Analysis and Applied Mathematics, 64-66, 10-14 September, 2004, Chalkis, Greece.

    30. B. Tunga and M. Demiralp, "Hybrid High Dimensional Model Representation Approximants and Their Utilization in Applications", The Fourth International Conference on Tools for Mathematical Modelling, 141, 23-28 June, 2003, Saint-Petersburg, Russia.

    31. B. Tunga and M. Demiralp, "Optimally Controlled Dynamics of One Dimensional Harmonic Oscillator: Linear Dipole Functions and Quadratic Penalty", International Conference on Numerical Analysis & Computational Mathematics (NACOM-2003), 166-168, 23-26 May, 2003, Cambridge, England.

  • BOOK CHAPTERS

    1. B. Tunga, M. Demiralp "A novel Hybrid High Dimensional Model Representation (HDMR) based on the combination of plain and logarithmic high dimensional model representations", Advances in Numerical Methods, Vol.11 - Part 1, Chapter 9, 101-112, Springer, 2009.