Modelling External Environment Effects using Markov-modulated regressions

Period: 01.01.2017
- 01.01.2020

Supervisors:

Assoc. professor 

Dr. sc. ing.
Nadezda Spiridovska
Engineering Faculty
Nadezda Spiridovska

Academic degree and current position in TSI: associate professor, researcher at the Engineering Faculty.

Previous experience: worked at the Mathematical Methods and Modelling Department in TSI for more than 10 years (assistant, lecturer, assistant professor), postdoc researcher.

Membership: A member of the Latvian Simulation Society since 2004, a member of the Latvian Operations Research Society (LatORS) since 2019.

Teaching activity: Discrete Mathematics (undergraduate level); Probability Theory and Mathematical Statistics (undergraduate level); System Modelling (undergraduate level); Introduction to machine learning (undergraduate level); Statistics (undergraduate level).

Publication activity: Author of on average two to three academic articles a year.

Projects: as a researcher has participated in more than 5 European and Latvian research projects.

Supervised Doctoral, Master and Bachelor Theses (number): 1 Master thesis and more than 10 Bachelor theses.

Research fields/domains: Data analysis, statistical analysis, mathematical modelling and simulation (in transportation), machine learning.

Motto: “Any problem can be turned into opportunity”.

Project Type: Academic

Main Challenge:

The project is devoted to developing of non-traditional regression models, namely Markov-modulated linear regression for analysis of traffic flow and adjacent transport tasks and find algorithms for their parameter estimation for big data.

Funding: ERDF, 1.1.1.2/VIAA/1/16/075

DA&AI tools:

  • Statistical models
  • Markov processes

Deliverables (publications, reports, acknowledgments, etc.)

  • Spiridovska. “Markov-Modulated Processes, Their Applications and Big Data Cases: State of the Art” In book: “Reliability and Statistics in Transportation and Communication. RelStat 2019”. I. Kabashkin, I. Yatskiv and O. Prentkovskis eds. Springer, Cham. 2020. pp. 100-109.
  • Yatskiv and N. Spiridovska. “Data Preparation Framework Development for Markov-Modulated Linear Regression Analysis” In book: “Reliability and Statistics in Transportation and Communication. RelStat 2018”. I. Kabashkin, I. Yatskiv and O. Prentkovskis eds. Springer, Cham. 2019. pp. 178-190.
  • Spiridovska. “Markov-Modulated Linear Regression: Tasks and Challenges in Transport Modelling”. Reliability and Statistics in Transportation and Communication. I. Kabashkin, I. Yatskiv and O. Prentkovskis eds. 2018. pp. 223-231.
  • Spiridovska and I. Yatskiv. “Public transport passenger flow analysis and prediction using alternating Markov-modulated linear regression”. In 29th European Conference on Operational Research (Euro2018) handbook. 2018. pp. 208.
  • Spiridovska. “A Quasi-Alternating Markov-Modulated Linear Regression: Model Implementation Using Data about Coaches’ Delay Time”, international journal of circuits, systems and signal processing, Vol. 12. 2018, pp. 617-628.
  • Spiridovska. “Markov-Modulated Linear Regression: a Case Study of Coaches’ Delay Time”, International Journal of Economics and Management Systems, Vol. 3. 2018, pp. 53-59.
  • Spiridovska. “Markov-Modulated Linear Regression: Tasks and Challenges in Transport Modelling” In book: “Reliability and Statistics in Transportation and Communication”. I. Kabashkin, I. Yatskiv and O. Prentkovskis eds. Springer, Cham. 2018. pp. 223-231.I. Kabashkin and I. Yatskiv eds. 2017. pp. 46.

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