- “Solving Polynomial Systems Using a Fast Adaptive Back Propagation Neural Network Algorithm”, K. Goulianas, A.Margaris, I. Refanidis and K. Diamantaras, Accepted for Publication, European Journal of Applied Mathematics, 2017.
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“A Back Propagation-Type Neural Network Architecture for Solving the Complete n x n Nonlinear Algebraic System of Equations”, K. Goulianas, A. Margaris, I. Refanidis, K. Diamantaras, and Theophilos Papadimitriou, Advances in Pure Mathematics, 2016, 6, 455-480.
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“An Adaptive Learning Rate Backpropagation-Type Neural Network for Solving nxn Systems of Nonlinear Algebraic Equations”, K. Goulianas, A.Margaris, I. Refanidis and K. Diamantaras, Math. Meth. Appl. Sci., 2015, 39 (10), pp. 2602-2616, DOI: 10.1002/mma.3715 .
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“Estimating 2-cycle fixed points of henon map using backpropagation neural networks”, Athanasios Margaris, Konstantinos Goulianas, Konstantinos Diamantaras, and Theophilos Papadimitriou, Math. Meth. Appl. Sci. 2013, DOI: 10.1002/mma.3064.
- “Finding All Real Roots of 3x3 Nonlinear Algebraic Systems Using Neural Networks“, Goulianas K., Margaris A., Adamopoulos M., Applied Mathematics and Computations, Volume 219, Number 9, January 2013, pp 4444-4464.
- “Finding All Roots of 2x2 Nonlinear Algebraic Systems Using Backpropagation Neural Networks“, Margaris A., Goulianas K..
Accepted for Publication in Neural Computing and Applications (2010).
- "Linear Neural Network Training Algorithms for Real-World Benchmark Problems", Goulianas K., Adamopoulos M., Katsavounis S., Fragakis Ch., Tsouros C. C.., International Journal of Computer Mathematics, Vol. 79, No 11 (2002), pp. 1149-1167.
- "Structured Artificial Neural Networks for Fast Batch LMS Algorithms“, Goulianas K., Adamopoulos M., Margaritis K.G.., Neural, Parallel & Scientific Computations Vol. 5, No. 4, (1997), pp. 549-562.
- "On Multi-Property Set Operations using Neural Networks and Systolic Arrays", Margaritis K.G., Goulianas K., Adamopoulos M., Tsouros K.K. and Evans D.J., Neural, Parallel & Scientific Computations Vol. 3, Number 1 (1995), pp. 1-14.
- "Artificial Neural Networks and Iterative Linear Algebra Methods", Margaritis KG, Adamopoulos M., Goulianas K., and Evans D.J., Parallel Algorithms and Applications, Vol. 3 (1994), pp. 31-44.
Journal Publications
Publications IN INTERNATIONAL CONFERENCES
- “ANALYZING DATA INTO QUANTIZED COMPONENTS”, Konstantinos Diamantaras, Theophilos Papadimitriou, Konstantinos Goulianas. Έγινε δεκτό για Παρουσίαση-Δημοσίευση στα πρακτικά του Συνεδρίου IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2014 - Machine Learning for Signal Processing.
- "Searching for the Occurences of a String in a Text using Artificial Neural Networks", Tsouros K. K., Adamopoulos M., Goulianas K. and Margaritis K.G.., 2nd Balkan Conference on Operational Research, 18-21 October 1993, Thessaloniki, pp. 784-794.
Publications IN GREEK CONFERENCES
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“Searching for a Set of Properties Using Neural Networks“, Adamopoulos M., Goulianas K. and Margaritis K.G., 4th Panhellenic Conference in Informatics Ε. P. Υ., Patras, November 1993, Vol. ΙΙ, (pp 495-506).
- "Structured Neural Networks for Iterative Solution of Linear Systems", Margaritis K.G., Adamopoulos M., Goulianas K.., 1st Greek Conference in Mathematics & Informatics, HERMIS, 22 - 26 September 1992 (pp 499-508).
Publications IN GREEK JOURNALS
- “Solution of Linear Systems with the Minimization of the Energy Function of a Neural Network“, Margaritis K.G., Adamopoulos M., Goulianas K..
Scientific Anniversary of the University of Macedonia, Thessaloniki, Greece, 1993, Vol. ΧΙ, (pp 501-525).
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"Solution of Linear Systems using Hopfield & Back-Propagation Neural Networks“, Adamopoulos M., Margaritis K.G., Goulianas K..
Anniversary of Engineering, Aristotle University of Thessaloniki, , 1992, (pp. 7.1-7.10).
RESEARCH INTERESTS
- Neural Networks
- Machine Learning
- Linear Algebra
- Numerical Analysis
- Signal Processing
OTHER PUBLiCations
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“Lab Notes in Neural Networks and a Brief MATLAB Manual”, Diamantaras K., Goulianas K., 2008, pages 113. Lecture Notes in the Department of Information Technology.
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“Numerical Analysis, Theory and Applications”, Goulianas K., 2008, pages 216. Lecture Notes in the Department of Information Technology
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“Exercises in Numerical Analysis using the C language”, Goulianas K., 2008, pages 83. Lecture Notes in the Department of Information Technology.
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“Computational Mathematics”, Adamopoulos M, Goulianas K., 1995, pages 311. Lecture Notes in the Department of Applied Informatics, University of Macedonia, Thessaloniki, Greece.
Member of Scientific & Organization Committees - PAPER ReviEWER
- Reviewer for the Journal of Computer Mathematics, 2006, 2007.
- Reviewer for the Journal Information Sciences, 2007.
- Reviewer for the Central European Journal of Computer Sciences, 2010.
- Member of the Local Committee of IEEE International Workshop on Machine Learning for Signal Processing, August 27-29 2007.
- Workshop Chair in ICANN2010 International Conference on Artificial Neural Networks, September 15-18 2010.