Academic Staff member

Dr. N. Yapage

Senior Lecturer Grade I

B.Sc University of Ruhuna, Sri Lanka
M.Sc The University of Electro-Communications, Japan
Ph.D The University of Electro-Communications , Japan

nihal@maths.ruh.ac.lk
0412227018/14101

LinnkedIn ResearchGate Google Scholar

  • 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
  • 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

    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)

  • 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.

    • 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.
  • The Japanese Government Scholarship [Monbukagakusho] for Postgraduate Studies 2002
  • Scientific Training in Computational Physics, Technical University of Chemnitz, Germany, 2001 (October – December). Funded by DAAD; Supervisor: Prof. Rudolf A Roemer. 2001
  • 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), 2014
  • Head of Department - University of Ruhuna - from 2010-07-19 to 2014-10-25
  • Career Guidance Advisor - University of Ruhuna, Faculty of Science - from 2019-05-20 to 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 - from 2016-10-20 to 2019-10-19
  • Department representative, Quality Assurance Cell, Faculty of Science. - University of Ruhuna - from 2018-01-01 to 2021-01-01
  • Joint Secretary, RISTCON 2018 & 2019. - University of Ruhuna, Faculty of Science - from 2018-03-30 to 2020-03-30
  • Student Counsellor (2008-2010 & 2016-2019) in the Faculty of Science. - University of Ruhuna, Faculty of Science - from 2008-10-05 to 2019-12-19
  • Academic Mentor in the Faculty of Science. - University of Ruhuna - from 2008-06-30 to 2020-05-19
  • Life Member-Sri Lanka Association for the Advancement of Science. - Sri Lanka Association for the Advancement of Science - from 2016-10-20 to 2021-01-01
  • Director, Operations Technical Secretariat (AHEAD Project) - University of Ruhuna - from 2020-07-01 to 2024-02-28