N. Yapage
Senior Lecturer Grade I
| Active |
| Department of Mathematics Faculty of Science University of Ruhuna Matara 81000 |
| Tel 0412227018 ext 14101 |
My profile
| Full Name | N. Yapage |
| Position | Senior Lecturer Grade I |
| Department | Mathematics |
| Faculty | Science |
| Telephone Number(Office) | 0412227018 ext 14101 |
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Academic Qualifications
| B.Sc | University of Ruhuna, Sri Lanka | 1998 |
| M.Sc | The University of Electro-Communications, Japan | 2005 |
| Ph.D | The University of Electro-Communications , Japan | 2008 |
Journals
| N. Yapage. A study on some geometrical and statistical properties of the continuous power-law distribution with a comparison of similar properties of a particular exponential distribution (Accepted to Journal of the National Science Foundation, Sri Lanka 2020). |
| Bandara S.M.G.S. and N. Yapage. A Study on Application of Markov random fields in image restoration and its efficiency (Accepted to Journal of University of Ruhuna, University of Ruhuna, Matara, Sri Lanka) 2020 |
| De Siva P.D.D.C. and N. Yapage. Building an identity verification system with high security using elliptic curve digital signature algorithm and its social & commercial impact (in preparation). |
| N. Yapage. A comparison of Normal and Lognormal Distributions using Information Geometry together with the importance of Lognormal distribution in Financial Mathematics (in preparation). |
| E.B.S. Samarakoon, M.M.P. Mendis, N. Yapage. Analysis of Rainfall Distribution and Variation during the Southwest Monsoon in the Wet Zone of Sri Lanka. (Submitted to Sri Lankan Journal of Applied Statistics (SLJAS)), 2020 |
| De Silva P. D. D. C., Yapage N. An Application of SYMMETRIC AND ASYMMETRIC ENCRYPTION SCHEMES SIMULTANEOUSLY FOR HIGH LEVEL SECURED ENCRYPTION: A real world experience (Journal version in preparation). |
| N. Yapage. Information geometrical derivation of naive mean-field approximation for quantum statistical models of general order (Accepted to Ruhuna Journal of Science, 2018). |
| N. Yapage. Mean field equations for higher-order quantum statistical models : an information geometric approach, 2012. arXiv:1202.5726v1 [quant-ph]. |
| N. Yapage, H. Nagaoka. An information geometrical approach to the mean field approximation for quantum Ising spin models. Journal of Physics A: Mathematical and Theoretical 41, 2008, 065005. |
Conference (Full Papers)
| N. Yapage. Information geometry of mean field approximation for third-order classical and quantum Boltzmann machines. Abstract accepted to the 38th Conference of the Middle European Cooperation in Statistical Physics 25-27 March 2013 at the ICTP, Trieste, Italy. |
Conference (Abstracts)
| N. Yapage. Information Processing in Bio Chemical Reaction Networks (in preparation). |
| N. Yapage. A comparison of Normal and LogNormal Distributions using Information Geometry, partial results presented at the Academic Sessions 2020, University of Ruhuna. |
| De Siva P.D.D.C. and N. Yapage. Building an identity verificatin system with high security using elliptic curve digital signature algorithm, RISTCON 2020, University of Ruhuna, Matara, Sri Lanka. |
| Bandara S.M.G.S. and N. Yapage. Application of Markov random fields in image restoration, RISTCON 2020, University of Ruhuna, Matara, Sri Lanka. |
| E.B.S. Samarakoon, M.M.P. Mendis, N. Yapage. TREND ANALYSIS ON SOUTHWEST MONSOON RAINFALL IN SRI LANKA USING DROUGHT INDICES. PGIS Research Congress, 2020 |
| De Silva P. D. D. C., Yapage N. USING SYMMETRIC AND ASYMMETRIC ENCRYPTION SCHEMES SIMULTANEOUSLY FOR HIGH LEVEL SECURED ENCRYPTION. Second Asia International Conference on Multidisciplinary Research, 2020. |
| N. Yapage. An investigation on classical/quantum information functionals and diversity indices, RISTCON 2017, University of Ruhuna, Matara, Sri Lanka. |
| N. Yapage. A comparison of some Statistical and Geometrical properties of a Power law Distribution and a particular form of an Exponential Distribution, 2017. 14th Academic Sessions, Faculty of Engineering, University of Ruhuna, Hapugala, Galle, Sri Lanka. |
| N. Yapage. Some information measures of power-law distributions, 2014. Proceedings of 1st Ruhuna International Science and Technology Conference (RISTCON) Faculty of Science, University of Ruhuna, Matara, Sri Lanka. |
| M. W. S. Perera, N. Yapage. Successes and failures of Shor’s algorithm for large integer factorization : a numerical study, 2011, Proceedings of the annual research symposium, Faculty of Science, University of Ruhuna, Matara, Sri Lanka. |
| N. Yapage, H. Nagaoka. Information geometry of mean field approximation for quantum Boltzmann machines. Proceedings of the Asian Conference on Quantum Information Science (AQIS’06), Beijing, China, 143–144, 2006. |
| N. Yapage, H. Nagaoka. A Quantum Extension of Boltzmann machine: An information geometrical viewpoint. Proceedings of the ERATO (Exploratory Research for Advanced Technology) Conference on Quantum Information Science (EQIS’05), Tokyo, Japan, 204–205, 2005. |
Workshops
| Conducted a seminar on Combined Mathematics for the G.C.E. Advanced Level students of the Southlands College, Galle in 2019. |
| Invited Talk on “An Introduction to Classical and Quantum Information Geometry”, ICCMS 2017, University of Colombo, Sri Lanka. |
| Resource person at a seminar on Combined Mathematics for the Teachers in the Southern Province at Dickwella Vijitha Central College in 2017 (organised by NIE). |
| Research School on Complex Systems, 2014, ICTP, Trieste, Italy. |
| Resource Person for the "Study Group Meeting on Mathematics and Statistics for Industrial Problems (SGMMSI-2014)", held at University of Ruhuna from 2nd-5th December, 2014 organized by the Department of Mathematics, in collaboration with Industrial Training and Research Coordination Committee (ITRCC), Faculty of Science, University of Ruhuna. Sri Lanka. |
| One Day "Workshop on Mathematics in Industry” (WMI 2013), University of Ruhuna, Matara, Sri Lanka. |
| Conducted a two-day seminar on Probability & Statistics for the G.C.E. Advanced Level students of the Sangamitta Balika Vidyalaya, Galle in 2013. |
| Chief Examiner for G.C.E. Advanced Level Combined Mathematics subject in 2011-2018. |
| Information Geometry & Applications, 2007, Tokyo, Japan. |
| Quantum Estimation Theory, 2006, Tokyo, Japan. |
| Talk given on "Error Correcting Codes" at the Technical University of Chemnitz, Germany, 2001 (October – December). |
Books
| A Mathematics Workbook for Undergraduate Non-Mathematics Students (version 1) |
| N. Yapage. Information Geometrical Study of Quantum Boltzmann Machines, Doctoral Thesis, University of Electro-Communications, Tokyo, Japan, 2008. |
Awards
| 2002 | The Japanese Government Scholarship [Monbukagakusho] for Postgraduate Studies |
| 2001 | Scientific Training in Computational Physics, Technical University of Chemnitz, Germany, 2001 (October – December). Funded by DAAD; Supervisor: Prof. Rudolf A Roemer. |
| 2014 | Support for participating in the Hands-On Research in Complex Systems School at The Abdus Salam International Center for Theoretical Physics, Trieste, Italy (30 June - 11 July 2014), |
Research Interests
| Mathematical Physics |
| Probability Theory |
| Statistical Information Theory & Applications |
| Quantum Information and Computation |
| Differential Geometrical Methods in Statistics |
| Theory of Complex Systems and Networks |
| Stochastic Anaylsis and Applications in Finance |
| Applied Mathematics |
Teaching
| AMT223b | Applied Probability | 2019 |
| IMT223b | Applied Probability | 2019 |
| MAM3113 | Numerical Analysis | 2010 |
| MAM3213 | Applied Algebra | 2016 |
| MAT111b | Vector Analysis | 2020 |
| MAT1142 | Mathematics for Biology | 2019 |
| MAT211b | Linear Algebra | 2014 |
| mat312b | Real Analysis III | 2016 |
| MSP4164 | Analytical and Numerical Methods for PDEs | 2016 |
| MSP4214 | Mathematical Foundations of Quantum Mechanics / Special Topics in Mathematical Physics | 2010 |
| MSP4224 | Introduction to Stochastic Analysis | 2019 |
Admin Roles and Other Activities
| Head of Department | University of Ruhuna | 2010-07-19 | 2014-10-25 |
| Career Guidance Advisor | University of Ruhuna, Faculty of Science | 2019-05-20 | 2020-05-19 |
| Established the Ruhuna University Mathematics and Statistics Society in 2016 and served as the Senior Treasurer for three consecutive years. | University of Ruhuna | 2016-10-20 | 2019-10-19 |
| Department representative, Quality Assurance Cell, Faculty of Science. | University of Ruhuna | 2018-01-01 | 2021-01-01 |
| Joint Secretary, RISTCON 2018 & 2019. | University of Ruhuna, Faculty of Science | 2018-03-30 | 2020-03-30 |
| Student Counsellor (2008-2010 & 2016-2019) in the Faculty of Science. | University of Ruhuna, Faculty of Science | 2008-10-05 | 2019-12-19 |
| Academic Mentor in the Faculty of Science. | University of Ruhuna | 2008-06-30 | 2020-05-19 |
| Life Member-Sri Lanka Association for the Advancement of Science. | Sri Lanka Association for the Advancement of Science | 2016-10-20 | 2021-01-01 |
| Director, Operations Technical Secretariat (AHEAD Project) | University of Ruhuna | 2020-07-01 | 2024-02-28 |