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Publications by Athanasios Kehagias

August 2010

  1. Theses
    1. Approximation of Stochastic Processes by Hidden Markov Models, Division of Applied Mathematics, Brown University, Providence, Rhode Island, ΗΠΑ, 1992.
    2. Trajectory Tracking Control Method for Nonlinear Systems. Master's Thesis, Center for the Application of Mathematics, Lehigh University, 1985.
    3. Partition Algorithm for System Identification, Diploma Thesis, Department of Electrical and Computer Engineering, School of Engineering, Aristotle University, Thessaloniki, Greece, 1984.

  2. Books and Book Chapters
    1. V. Petridis and Ath. Kehagias. Predictive Modular Neural Networks for Time Series Classification, Prediction and Identification. Kluwer Academic Publishers, 1998.
    2. Ath. Kehagias. "A Family of Multi-valued t-norms and t-conorms". In Computational Intelligence Based on Lattice Theory, eds. V.G. Kaburlasos and G.X. Ritter, Springer, 2007.
    3. Ath. Kehagias. "The Construction of Fuzzy-valued t-norms and t-conorms". In Computational Intelligence Based on Lattice Theory, eds. V.G. Kaburlasos and G.X. Ritter, Springer, 2007

  3. Papers Appearing in Refereed Journals
    1. Ath. Kehagias. "Optimal Control for Training: the Missing Link between Hidden Markov Models and Connectionist Networks". Mathematical and Computer Modelling, Vol. 14, pp.284-289, 1990.
    2. Ath. Kehagias. "Convergence Properties of the Lainiotis Partition Algorithm". Control and Computers, Vol. 19, pp. 1-6, 1991.
    3. H. Kuensch, S. Geman, Ath. Kehagias. "Hidden Markov Random Fields." Annals of Applied Probability, Vol.5, pp.577-602, 1995.
    4. G. Bertocchi and Ath. Kehagias. "Efficiency and Optimality in Stochastic Models with Production". Journal of Economic Dynamics and Control, Vol.19, pp.303-325, 1995.
    5. V. Petridis and Ath. Kehagias. "Modular Neural Networks for MAP Classification of Time Series and the Partition Algorithm". IEEE Trans. on Neural Networks, Vol.7, pp.73-86, 1996.
    6. V. Petridis and Ath. Kehagias. "A Recurrent Network Implementation of Bayesian Time Series Classification". Neural Computation, vol.8, pp.357-372, 1996.
    7. Ath. Kehagias. "Bayesian Classification of Hidden Markov Models". Mathematical and Computer Modelling, Vol.23, pp.25-43, 1996.
    8. V. Petridis and Ath. Kehagias. "Predictive Modular Fuzzy Systems for Time Series Classification". IEEE Trans. on Fuzzy Systems, Vol.5, pp.381-397, 1997.
    9. Ath. Kehagias and V. Petridis. "Time Series Segmentation using Predictive Modular Neural Networks". Neural Computation, Vol.9, pp.1691-1710, 1997.
    10. A. Bakirtzis, S. Kiartzis, V. Petridis and Ath. Kehagias. "Short Term Load Forecasting using a Bayesian Combination Method ". Int. Journal of Electrical Power and Energy Systems, Vol. 19, pp.171-177, 1997.
    11. Ath. Kehagias and V. Petridis. "Predictive Modular Neural Networks for Time Series Classification ". Neural Networks, Vol.10, pp.31-49, 1997.
    12. V. Petridis and Ath. Kehagias. "A Multi-Model Algorithm for Parameter Estimation of Time Varying Nonlinear Systems". Automatica, Vol.34, pp.469-475, 1998.
    13. V. Petridis, M. Paterakis and Ath. Kehagias. "A Hybrid Neural-Genetic Multi-Model Parameter Estimation Algorithm". IEEE Transactions in Neural Networks, Vol.9, pp.862-876, 1998. `
    14. P.Vlachos and A. Kehagias. "A Computer Algebra System and a New Approach for Teaching Business Calculus". Int. Journal of Computer Algebra in Mathematics Education, vol.7, pp.87-104, 2000.
    15. G. Antoniou and Ath. Kehagias. "On the Refinement of Ontologies". Int. Journal of Intelligent Systems, vol. 15, pp.623-632, 2000.
    16. A. Konstantinidis, T. Ioannidou, Ath. Kehagias and E.C. Aifantis. "Gradient Constitutive Equations, Size Effects and Artificial Neural Networks". Journal of the Mechanical Behavior of Materials, vol.12, pp.141-157, 2001.
    17. V. Petridis, Ath. Kehagias, L. Petrou, A. Bakirtzis, N. Maslaris, S. Kiartzis and H. Panagiotou. "A Bayesian Multiple Models Combination Method for Time Series Prediction". Journal of Intelligent and Robotic Systems, vol. 31, pp.69-89, 2001.
    18. K. Baganas, Ath. Kehagias and A. Charalambopoulos. "Inhomogenous Dielectric Media: Wave Propagation and Dielectric Permittivity Reconstruction". Journal of Electromagnetic Waves and Applications, vol. 15, pp. 1373--1400, 2001.
    19. Ath. Kehagias, K. Serafimidis and M. Konstantinidou. "A Note on the Congruences of the Nakano Superlattice and Some Properties of the Associated Quotients". Rendiconti del Circolo Matematico del Palermo, vol.51, pp.333-354, 2002.
    20. Ath. Kehagias, "An example of L-fuzzy Join Space". Rendiconti del Circolo Matematico del Palermo, vol.51, pp.503-526, 2002.
    21. Ath. Kehagias and V. Petridis. "Predictive Modular Neural Networks for Unsupervised Segmentation of Switching Time Series: the Data Allocation Problem". IEEE Trans. on Neural Networks, vol.13, pp.1432-1449, 2002.
    22. A. Economides and Ath. Kehagias. "The STAR Automaton: Expediency and Optimality Properties". IEEE Trans. on Systems, Man and Cybernetics, vol.32, pp.723-737, 2002.
    23. K. Serafimidis, Ath. Kehagias and M. Konstantinidou. "The L-Fuzzy Corsini Join Hyperoperation" . Italian Journal of Pure and Applied Mathematics, vol.12, pp.83-90, 2002.
    24. Ath. Kehagias and M. Konstantinidou. "L-Fuzzy Valued Inclusion Measure, L-Fuzzy Similarity and L-Fuzzy Distance". Fuzzy Sets and Systems, vol.136, pp.313-332, 2003.
    25. Ath. Kehagias, V. Petridis, V.G. Kaburlasos, and P. Fragkou. "A Comparison of Word- and Sense-based Text Categorization Using Several Classification Algorithms". J. of Int. Inf. Sys., vol.21, pp.227-247, 2003.
    26. Ath. Kehagias. "L-fuzzy Join and Meet Hyperoperations and the Associated L-fuzzy Hyperalgebras" . Rendiconti del Circolo Matematico di Palermo, vol.52, pp.322-350, 2003.
    27. Ath. Kehagias. "A Hidden Markov Model Segmentation Procedure for Hydrological and Enviromental Time Series". Stoch. Env. Res. Risk Anal., vol.18, pp.117-130, 2004.
    28. Ath. Kehagias, A. Nicolaou, P. Fragkou and V. Petridis. "Text Segmentation by Product Partition Models and Dynamic Programming". Mathematical and Computer Modelling, vol.39, pp.209-217, 2004.
    29. K. Serafimidis, Ath. Kehagias and M. Konstantinidou. "The Structure of the (P,Q)-Superlattice and Order Related Properties''. Italian Journal of Pure and Applied Mathematics, vol.15, pp.133-150, 2004.
    30. K. Serafimidis and Ath. Kehagias. "Some Representation Results for (P,Q)-Superlattices". Italian Journal of Pure and Applied Mathematics, vol.15, pp.151-164, 2004.
    31. Ath. Kehagias, P. Fragkou and V. Petridis. "A Dynamic Programming Algorithm for Linear Text Segmentation". Journal of Int. Information Systems, vol. 23, pp.179-197, 2004
    32. D. Kugiumtzis, Ath. Kehagias, E.C. Aifantis and H. Neuhauser. "Statistical Analysis of the Extreme Values of Stress Time Series from PLC Effect". . Physical Review E, Vol 70, No 3, 036110, 2004.
    33. Ath. Kehagias and K. Serafimidis. "The L-Fuzzy Nakano Hypergroup". Information Sciences, vol. 169, pp.305-327, 2005
    34. K. Serafimidis and Ath. Kehagias. "Some Remarks on Congruences obtained from the L-Fuzzy Nakano Hyperoperation". Information Sciences, Volume 176, Issue 3 , Pages 301-320, 2006..
    35. V.G.Kaburlasos and Ath. Kehagias. "Novel fuzzy inference system (FIS) analysis and design based on lattice theory. Part I: Working principles". International Journal of General Systems, Volume 35, Pages 45-67, 2006.
    36. Ath. Kehagias and V. Fortin."Time series segmentation with shifting means hidden Markov models". Nonlinear Processes in Geophysics, Volume 13, Pages 339-352, 2006.
    37. Ath. Kehagias, Ev. Nidelkou and V. Petridis. "A dynamic programming segmentation procedure for hydrological and environmental time series". Journal Stochastic Environmental Research and Risk Assessment (SERRA), Volume 20, Pages 77-94, 2006.
    38. Ath. Kehagias and K. Vezerides. "Computation of Fuzzy Truth Values for the Liar and Related Self-Referential Systems". J. of Mult.Valued Logic and Soft Computing, vol.12, pp.539-559, 2006.
    39. V.G.Kaburlasos and Ath. Kehagias. "Novel Fuzzy Inference System (FIS) Analysis and Design Based on Lattice Theory". IEEE Trans. on Fuzzy Systems, vol. 15, pp. 243-260, 2007.
    40. H. Aksoy, A. Gedikli, N. Erdem Unal, Ath. Kehagias. "Fast segmentation algorithms for long hydrometeorological time series". Hydrological Processes, vol. 22, pp. 4600 - 4608, 2008.
    41. G. Hollinger, S. Singh, J. Djugash, and Ath. Kehagias. "Efficient Multi-Robot Search for a Moving Target". The International Journal of Robotics Research, vol. 28, pp. 201-219, 2009.
    42. Ath. Kehagias, G. Hollinger and S. Singh. "A graph search algorithm for indoor pursuit/evasion". Mathematical and Computer Modelling, vol. 50, pp. 1305-1317, 2009.
    43. H. Aksoy, A. Gedikli, N. Erdem Unal, Ath. Kehagias. "Modified dynamic programming approach for offline segmentation of long hydrometeorological time series". Stochastic Environmental Research and Risk Assessment, Vol.24, pp. 547-557, 2010.
    44. Ath. Kehagias. "Some remarks on the lattice of fuzzy intervals". Information Sciences, To Appear.
    45. G. Hollinger, Ath. Kehagias and S. Singh. "GSST: Anytime guaranteed search". . Autonomous Robots", vol. 29, pp. 99-118, 2010.
    46. G. Hollinger, Ath. Kehagias and S. Singh. "Improving the efficiency of clearing with multi-agent teams". Int. J. of Robotic Research, vol. 29, pp. 1088-1105, 2010.

  4. Papers Appearing in Refereed Conference Proceedings
    1. "Some Properties of Nonlinear MAP Estimation by Simulated Annealing." Proceedings of the Samos Conference on Nonlinear Dynamics and Chaos, Steph. Pnevmatikos, An. Bountis and Sp. Pnevmatikos, eds., World Scientific, Singapore, 1989.
    2. "Simulated Annealing for MAP State Estimation." Proceedings of the 1988 Connectionist Models Summer School, D. Touretzky, ed., Morgan Kauffman, Los Angeles, USA, 1989.
    3. "Reproducing Infinite Boolean Sequences: An Application of Hidden Markov Models to Connectionist Learning." Proceedings of the Int. Joint Conference on Neural Networks, I:281-284, M. Caudill, ed., Washington, USA, 1990.
    4. "The Local Backward - Forward Algorithm." Proceedings of the Int. Joint Conference on Neural Networks, II:321-326, Seattle, USA, 1991.
    5. Ath. Kehagias and V. Petridis. "Predictive Modular Fuzzy Systems for Intelligent Sensing". Proc. of IEEE Int. Conf. on Systems, Man and Cybernetics, Peking, China. 1996.
    6. Ath. Kehagias and V. Petridis. "Recurrent Neural Networks for Parameter Estimation". Proc. of IEEE Int. Conf. on Engineering Applications of Neural Networks, London, England. 1996.
    7. A. Hatzopoulos, G. Koukas, G. Binos, V. Petridis and Ath. Kehagias. "Analog implementation of the Incremental Credit Assignment (ICRA) scheme for time series classification". Proc. Int. Conf. on Digital Signal Processing, DSP'97, Greece, 1997.
    8. S. Vlassis, S. Siskos, A. Hatzopoulos, V. Petridis and Ath. Kehagias. "Analog CMOS design of the Incremental Credit Assignment (ICRA) scheme for time series classification". Proc. IEEE Int. Symposium on Circuits & Systems, ISCAS'98, Monterey, CA, 1998.
    9. Vas. Petridis and Ath. Kehagias. "Unsupervised Time Series Segmentation by Predictive Modular Neural Networks". Proceedings of ICANN 98, 1998.
    10. Ath. Kehagias and Vas. Petridis. "Data Allocation for Unsupervised Decomposition of Switching Time Series by Predictive Modular Neural Networks". Proceedings of IFAC Conference on Large Scale Systems, Theory and Applications, Patras, Greece, 1998.
    11. Ath. Kehagias, H. Panagiotou, N. Maslaris, V. Petridis, L. Petrou and V. Spais. "Predictive Modular Neural Network Methods for Prediction of Sugar Beetle Crop Yield". Proceedings of IFAC Conference on Control Applications and Ergonomics in Agriculture, Athens, Greece, 1998.
    12. P.Vlachos and A. Kehagias. "Mathematics Reform and Introduction of Computer Aided Instruction in an International Liberal Arts College". Proceedings of International Conference on the Teaching of Mathematics, Samos, Greece, 1998.
    13. Vas. Petridis and Ath. Kehagias. "Identification of Switching Dynamical Systems Using Multiple Models". Proceedings of CDC 98, 1998.
    14. E. Paterakis, V. Petridis and Ath. Kehagias. "Genetic Algorithm in Parameter Estimation of Nonlinear Dynamic Systems". Lecture Notes in Computer Science, vol.1498, pp.1008-1017, 1998.
    15. V. Petridis and Ath. Kehagias. "A General Convergence Result for Data Allocation in Online Unsupervised Learning Methods". Poster Presentation, Second International Conference on Cognitive and Neural Systems, Boston University, 1998.
    16. Ath. Kehagias and Vas. Petridis. "Data Allocation and Training for Bayesian Networks". Proceedings of the CONALD Conference, Pittsburgh, 1998
    17. Ath. Kehagias and Vas. Petridis. "Automated Building of a Database of Neural Networks Papers". Proceedings of the CONALD Conference, Pittsburgh, 1998.
    18. P. Vlachos and Ath. Kehagias, "Computer Aided Instruction for Business Calculus in an International Liberal Arts College". Proceedings of the Conference "IMACS -- Applications of Computer Algebra", Madrid, 1999.
    19. V. Petridis and Ath. Kehagias, Data Classification for Unsupervised Learning of Multiple Models: Convergence Results". Proceedings of the Conference "ISAS/ISC '99 ", Orlando, 1999
    20. Ath. Kehagias and M. Konstantinidou. "Convexity in Lattices and an Isotone Hyperoperation". Proceedings of the Conference "Constantine Caratheodory in his Origins", Orestiada, 2000.
    21. V. Petridis, V.G. Kaburlasos, P. Fragkou and Athanasios Kehagias. "Text Classification Using the sigma-FLNMAP Neural Network". Proceedings of the Conference "IJCNN", Washington, DC, 2001.
    22. Ath. Kehagias. "L-fuzzy Meet and Join Hyperoperations". To appear in Proc. of 8th Conference on Algebraic Hyperstructures and Applications, Samothraki, 2002.
    23. K. Serafimidis, M. Konstantinidou and Ath. Kehagias. "L-fuzzy Nakano `Hyperlattice'". To appear in Proc. of 8th Conference on Algebraic Hyperstructures and Applications, Samothraki, 2002.
    24. Ath. Kehagias, P. Fragkou, V. Petridis. "Linear Text Segmentation using a Dynamic Programming Algorithm". To appear in Proc. of 10th Conference of Eur. Assoc. for Computational Linguistics, Budapest, 2003.
    25. Ath. Kehagias and K. Serafimidis. "Multi-valued t-Norms and t-Conorms". To appear in Proc. of 7th Joint Conference on Information Sciences, Cary, North Carolina, 2003.
    26. V.G. Kaburlasos and Ath. Kehagias. "Novel analysis and design of fuzzy inference systems based on lattice theory". In Proc. of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2004) Budapest, 2004.
    27. Geoff Hollinger, Ath. Kehagias and S. Singh. "Probabilistic strategies for pursuit in cluttered environments with multiple robots". In Proc. of ICRA 2007, Rome, 2007.
    28. Geoff Hollinger, Ath. Kehagias and S. Singh. "Efficient, guaranteed search with multi-agent teams". In Proc. of RSS 2009, 2009.

  5. Selected Technical Reports
    1. Ath. Kehagias. "Optimal Control Interpretation of the Backward-Forward Algorithm". Technical Report, Division of Applied Mathematics, Brown University, 1990.
    2. Ath. Kehagias. "Stochastic Recurrent Networks Training by the Local Backward-Forward Algorithm", Technical Report, Division of Applied Mathematics, Brown University, 1991.
    3. Ath. Kehagias. "Stochastic Recurrent Networks: Prediction and Classification of Time Series", Technical Report, Division of Applied Mathematics, Brown University, Brown University, 1991.
    4. H. Kuensch, S. Geman and Ath. Kehagias. "Consistent Estimation of Stationary Processes and Stationary Random Fields". CICS Technical Report. CICS-P-410, 1993.
    5. H. Kuensch, S. Geman and Ath. Kehagias. "Hidden Markov Random Fields". CICS Technical Report CICS-P-408, 1993.
    6. L. Petrou, H. Panagiotou, V. Petridis and Ath. Kehagias. "Prediction of Sugar Beet Crop Yield with Multiple Model Methods". (In Greek) Department of Electrical and Computer Engineering, School of Engineering, Aristotle University, Thessaloniki, Greece, 1996.
    7. Ath. Kehagias, M. Konstantinidou, "L-Fuzzy Valued Inclusion Measure, L-Fuzzy Similarity and L-Fuzzy Distance", CS Arxiv TR cs.OH/0111002, 2001.
    8. Ath. Kehagias, "The Lattice of Fuzzy Intervals and Sufficient Conditions for its Distributivity", CS Arxiv TR cs.OH/0206025, 2002.
    9. Ath. Kehagias, "Hidden Markov model segmentation of hydrological and enviromental time series", CS Arxiv TR cs.CE/0206039, 2002.
    10. Ath. Kehagias and K. Serafimidis. "Multi-valued Connectives for Fuzzy Sets". CS Arxiv TR cs.OH/0306033, 2001.
    11. K. Vezerides and Ath. Kehagias, "The Liar and Related Paradoxes: Fuzzy Truth Value Assignment for Collections of Self-Referential Sentences", CS Arxiv TR cs.LO/0309046, 2002.
    12. G. Hollinger, Ath. Kehagias, S. Singh, D. Ferguson, and S. Srinivasa. Anytime Guaranteed Search using Spanning Trees. tech. report CMU-RI-TR-08-36, Robotics Institute, Carnegie Mellon University, 2008.
    13. Ath. Kehagias, G. Hollinger, and S. Singh. A Graph Search Algorithm for Indoor Pursuit / Evasion. tech. report CMU-RI-TR-08-38, Robotics Institute, Carnegie Mellon University, 2008.
    14. Ath. Kehagias, G. Hollinger, and A. Gelastopoulos. Searching the Nodes of a Graph: Theory and Algorithms. tech. report arXiv:0905.3359, arXiV, 2009.

  6. Lecture Notes
    1. Ath. Kehagias. Introduction to Optimal Control and Estimation Theory. General Department, School of Engineering, Aristotle University, Thessaloniki, Greece. 1989.
    2. P. Anninos and Ath. Kehagias. Land Surveying Notes. Artillery Training Center, Greek Armed Forces, Thebes, Greece, 1992.
    3. Ath. Kehagias. Precalculus: Modelling, Notes for a Precalculus course, American College of Thessaloniki, 1997.
    4. Ath. Kehagias. Calculus with Computers, MathCad Electronic Notes for a Calculus course, American College of Thessaloniki, 1998.
    5. Ath. Kehagias. Linear Algebra Problems (in Greek), Aristotle University of Thessaloniki, 2002.
    6. Ath. Kehagias. Notes on Partial Differential Equations (in Greek), Aristotle University of Thessaloniki, 2003.

  7. Other Works
    1. Ath. Kehagias. "Control Theory, Time Optimal Control and an Application in Nonlinear Systems". (In Greek). In Order and Chaos in Nonlinear Systems, Vol. I, eds. St. Pnevmatikos and A. Bountis, Publisher Pnevmatikos, Athens, Greece, 1988.
    2. Ath. Kehagias. "An Iterated Multi-Player Game played by Learning Automata", Journal of Liberal Arts, Vol.1, No.2, pp.85-96, 1994.
    3. Ath. Kehagias. "Probabilistic Learning Automata and the Prisoner's Dilemma", Journal of Liberal Arts, Vol.1, No.1, pp.41-55, 1994.
    4. V. Petridis, M. Paterakis, V. Kaburlazos and Ath. Kehagias. "Fuzzy, Neural and Genetic Methods of Intelligent Control". Presented at the Conference on Modern Technologies of Intelligent Control, Athens, Greece, 1995.
    5. S. Kiartzis, A. Bakirtzis, V. Petridis and Ath. Kehagias. "A Bayesian Combination Method for Short Term Load Forecasting". Presented at the 3rd Balkan Conf. on Operations Research, Thessaloniki, Greece, 1995.
    6. V. Petridis, M. Paterakis, V. Kaburlazos and Ath. Kehagias. "Predictive Modular Neural Networks and Applications in Time Series Classification and Prediction". (In Greek). Presented at the Conference on Theory, Applications and Perspectives of Neural Network Technology, Thessaloniki, Greece, 1997.
    7. Ath. Kehagias. "Direct and Lateral Strategies for Debunking Postmodernism", Journal of Liberal Arts, Vol.4, No.1, pp.5-18, 1998.
    8. Ath. Kehagias. "Influence Diagrams and Matrices Applied to the Determination of Character Importance in Oedipus Rex". Unpublished Manuscript. 1998.
    9. Ath. Kehagias and P. Vlachos. "Computer Aided Instruction Vs. Traditional Teaching: Comparison By A Controlled Experiment". Presented at the Conference "Mathematics and New Technologies", 1999.
    10. P. Vlachos and Ath. Kehagias. "Mathematics Reform and Computer Algebra: a New Approach for Teaching Business Calculus". Journal of Liberal Arts, vol.5, No.2, pp.31-48,2000.
    11. V. Petridis, A.Bakirtzis, Ath. Kehagias and S. Kiartzis "Short Term Load Forecasting Using Predictive Modular Neural Networks". 2000.
    12. Ath. Kehagias and M. Konstantinidou. "Lattice-ordered Join Space: an Applications-oriented Example", Unpublished Manuscript. 2001.
    13. Ath. Kehagias, K. Serafimidis and M. Konstantinidou. "A Note on the Congruences of the Nakano Superlattice and Some Properties of the Associated Quotients". Presented at the 2001 Conference on Applied Differential Geometry, Lie Algebras and General Relativity.
    14. Κ. Σεραφειμίδης, Αθ. Κεχαγιάς και Μ. Κωνσταντινίδου. "Αλγεβρικές Υπερομάδες και Διαδρομές Ελαχίστου Μήκους σε Γραφήματα", Presented at the 14ο Εθνικo Συνεδριο της Ελληνικής Εταιρείας Επιχειρησιακών Ερευνών, 2001.
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