Radislav (Slava) Vaisman is a faculty member in the School of Mathematics and Physics at the University of Queensland. Radislav earned his Ph.D. in Information System Engineering from the Technion, Israel Institute of Technology in 2014. Radislav’s research interests lie at the intersection of applied probability, statistics, and computer science. Such a multidisciplinary combination allows him to handle both theoretical and real-life problems, in the fields of machine learning, optimization, safety, and system reliability research, and more. He has published in top-ranking journals such as Statistics and Computing, INFORMS, Journal on Computing, Structural Safety, and IEEE Transactions on Reliability. The Stochastic Enumeration algorithm, which was introduced and analyzed by Radislav Vaisman, had led to the efficient solution of several problems that were out of reach of state of the art methods. In addition, he is an author of 3 books with three of the most prestigious publishers in the field, Wiley, Springer, and CRC Press. Radislav serves on the editorial board of the Stochastic Models journal.
Radislav Vaisman’s research interests lie at the intersection of applied probability and computer science where he has made key contributions to the theory and the practical usage of Sequential Monte Carlo methods. Specifically, his work led to the publication of a book by John Wiley & Sons: Fast Sequential Monte Carlo Methods for Counting and Optimization, which covers the state-of-the-art of modern simulation techniques for counting and optimization. In addition, his contribution to the field of System Reliability resulted in the book: Ternary Networks: Reliability and Monte Carlo, by Springer. In 2019, Radislav coauthored the book: Data Science and Machine Learning: Mathematical and Statistical Methods, which was published by CRC Press. Dr. Vaisman has published in top-ranking journals such as Statistics and Computing, INFORMS, Journal on Computing, Structural Safety, Networks, and IEEE Transactions on Reliability.
Radislav Vaisman's research in the field of Sequential Monte Carlo led to the development of the Stochastic Enumeration method for estimating the size of backtrack trees. The proposed method tackles this very general but difficult problem in computational sciences. Dr. Vaisman also developed a rigorous analysis of the Stochastic Enumeration procedure and showed that it results in significant variance reduction as compared to available alternatives. In addition, he applied the multilevel splitting ideas to many practical applications, such as optimization, counting, and network studies. Dr. Vaisman has produced insightful work in the field of systems reliability, both in theory and practice. In particular, he has developed Sequential Monte Carlo methods for estimating failure probability in highly reliable structures and new sampling plans for estimating network reliability based on a network’s structural invariants. This contribution has been recognized by top scientific journals in this field, namely Structural Safety and IEEE Transactions on Reliability.
Edited Outputs: The 59th ANZIAM Conference [Book of abstracts]
Thomas Taimre and Radislav Vaisman eds. (2023). The 59th ANZIAM Conference [Book of abstracts]. Australian Mathematical Society Australian and New Zealand Industrial and Applied Mathematics Conference, Cairns, Qld, Australia, 5 – 9 February 2023. Brisbane, Australia: The University of Queensland.
Journal Article: Optimal balanced chain decomposition of partially ordered sets with applications to operating cost minimization in aircraft routing problems
Vaisman, Radislav and Gertsbakh, Ilya B. (2022). Optimal balanced chain decomposition of partially ordered sets with applications to operating cost minimization in aircraft routing problems. Public Transport, 1-27. doi: 10.1007/s12469-022-00304-5
Journal Article: Sequential stratified splitting for efficient Monte Carlo integration
Vaisman, Radislav (2021). Sequential stratified splitting for efficient Monte Carlo integration. Sequential Analysis, 40 (3), 1-22. doi: 10.1080/07474946.2021.1940493
Finding minimum label spanning trees using cross-entropy method
(2020–2021) University of Melbourne
Improved algorithms for environmental monitoring network design problems
(2020–2021) University of Melbourne
Advanced Numerical Methods with Application to Rare-event Estimation and Data Analysis
Doctor Philosophy
An integrative modelling approach to understanding human responses to hydrogen energy technologies
Doctor Philosophy
Rare event estimation for stochastic differential equations
Doctor Philosophy
I am always looking for prospective Ph.D. students. If you wish to know more about available projects, feel free to send me an email with your CV and a few lines regarding your research background and interests.
For details, please see: https://people.smp.uq.edu.au/RadislavVaisman/Research.html
Advances in Sequential Monte Carlo Methods with Applications to Degradation Data Analysis (PhD)
The majority of complex systems and products that empower our daily activities are subject to degradation. This affects the system lifetime, the quality of the service, and the corresponding safety of usage. Thus, a development of reliability management and prognostic programs is of overwhelming importance. In this project, you will investigate methods for understanding and managing of degradation processes. Specifically, the broad objective of this project is to develop new mathematical techniques and fast computational algorithms for inference in complex statistical models by building on recent advances in Monte Carlo methods, stochastic optimisation, and rare-event sampling techniques.
Approximate Computations in Complex Bayesian Models: Theory and Applications (PhD)
Statistical inference is one of the most important tools used for scientific investigation. When dealing with data, the Bayesian paradigm is very appealing since it allows to incorporate prior knowledge into a proposed model, provides a well-structured inference method (conditional on the newly observed information), does not rely on asymptotic approximation, provides interpretable answers, and implements a straight-forward framework for model comparison and hypothesis testing. While these merits often come with high computational costs, a continuing progress in the available computing resources allowed Bayesian statistics to rise to greater eminence in many scientific fields such as natural science, econometrics, social science, and engineering. However, despite recent advances, many real-life inference problems are still beyond the reach for classical Bayesian methods. Specifically, for many practical models, the evaluation of the likelihood function, a critical component of the Bayesian analysis, is either intractable or computationally prohibitive. In this project, you will investigate a number of methods such as the Pseudo-Marginal, the Integrated Nested Laplace, the Bayesian Synthetic Likelihood, the Variational Bayes, and the Approximate Bayesian Computation.
Data science and machine learning: Mathematical and statistical methods
Kroese, Dirk P., Botev, Zdravko I., Taimre, Thomas and Vaisman, Radislav (2019). Data science and machine learning: Mathematical and statistical methods. Boca Raton, FL, United States: CRC Press. doi: 10.1201/9780367816971
Fast sequential Monte Carlo methods for counting and optimization
Rubinstein, Reuven Y, Ridder, Ad and Vaisman, Radislav (2014). Fast sequential Monte Carlo methods for counting and optimization. Hoboken, NJ, United States: John Wiley & Sons. doi: 10.1002/9781118612323
Ternary networks: reliability and Monte Carlo
Gertsbakh, Ilya, Shpungin, Yoseph and Vaisman, Radislav (2014). Ternary networks: reliability and Monte Carlo. Heidelberg, Berlin: Springer. doi: 10.1007/978-3-319-06440-6
Reliability of a network with heterogeneous components
Gertsbakh, Ilya B., Shpungin, Yoseph and Vaisman, Radislav (2018). Reliability of a network with heterogeneous components. Recent advances in multi-state systems reliability: theory and applications. (pp. 3-18) edited by Anatoly Lisnianski, Ilia Frenkel and Alex Karagrigoriou. Cham, Switzerland: Springer. doi: 10.1007/978-3-319-63423-4_1
Vaisman, Radislav and Gertsbakh, Ilya B. (2022). Optimal balanced chain decomposition of partially ordered sets with applications to operating cost minimization in aircraft routing problems. Public Transport, 1-27. doi: 10.1007/s12469-022-00304-5
Sequential stratified splitting for efficient Monte Carlo integration
Vaisman, Radislav (2021). Sequential stratified splitting for efficient Monte Carlo integration. Sequential Analysis, 40 (3), 1-22. doi: 10.1080/07474946.2021.1940493
Finding minimum label spanning trees using cross-entropy method
Vaisman, Radislav (2021). Finding minimum label spanning trees using cross-entropy method. Networks, 79 (2) net.22057, 220-235. doi: 10.1002/net.22057
Reliability and importance measure analysis of networks with shared risk link groups
Vaisman, Radislav and Sun, Yuting (2021). Reliability and importance measure analysis of networks with shared risk link groups. Reliability Engineering and System Safety, 211 107578, 107578. doi: 10.1016/j.ress.2021.107578
Subset selection via continuous optimization with applications to network design
Vaisman, Radislav (2020). Subset selection via continuous optimization with applications to network design. Environmental Monitoring and Assessment, 192 (6) 361, 361. doi: 10.1007/s10661-019-7938-6
On the analysis of independent sets via multilevel splitting
Vaisman, Radislav and Kroese, Dirk P. (2018). On the analysis of independent sets via multilevel splitting. Networks, 71 (3), 281-301. doi: 10.1002/net.21805
The Multilevel Splitting algorithm for graph colouring with application to the Potts model
Vaisman, Radislav, Roughan, Matthew and Kroese, Dirk P. (2017). The Multilevel Splitting algorithm for graph colouring with application to the Potts model. Philosophical Magazine, 97 (19), 1646-1673. doi: 10.1080/14786435.2017.1312023
Finkelstein, Maxim, Gertsbakh, Ilya and Vaisman, Radislav (2017). On a single discrete scale for preventive maintenance with two shock processes affecting a complex system. Applied Stochastic Models in Business and Industry, 33 (1), 54-62. doi: 10.1002/asmb.2218
Resilience of finite networks against simple and combined attack on their nodes
Gertsbakh, Ilya B. and Vaisman, Radislav (2016). Resilience of finite networks against simple and combined attack on their nodes. Reliability: Theory and Applications, 11 (4 (43)), 8-18.
Splitting sequential Monte Carlo for efficient unreliability estimation of highly reliable networks
Vaisman, Radislav, Kroese, Dirk P. and Gertsbakh, Ilya B. (2016). Splitting sequential Monte Carlo for efficient unreliability estimation of highly reliable networks. Structural Safety, 63, 1-10. doi: 10.1016/j.strusafe.2016.07.001
Sequential Monte Carlo for counting vertex covers in general graphs
Vaisman, Radislav, Botev, Zdravko I. and Ridder, Ad (2016). Sequential Monte Carlo for counting vertex covers in general graphs. Statistics and Computing, 26 (3), 591-607. doi: 10.1007/s11222-015-9546-9
Improved sampling plans for combinatorial invariants of coherent systems
Vaisman, Radislav, Kroese, Dirk P. and Gertsbakh, Ilya B. (2016). Improved sampling plans for combinatorial invariants of coherent systems. IEEE Transactions on Reliability, 65 (1) 7161416, 410-424. doi: 10.1109/TR.2015.2446471
D-spectrum and reliability of a binary system with ternary components
Gertsbakh, Ilya B, Shpungin, Yoseph and Vaisman, Radislav (2015). D-spectrum and reliability of a binary system with ternary components. Probability in the Engineering and Informational Sciences, 30 (1), 25-39. doi: 10.1017/S0269964815000261
Stochastic Enumeration Method for Counting Trees
Vaisman, Radislav and Kroese, Dirk P (2015). Stochastic Enumeration Method for Counting Trees. Methodology and Computing in Applied Probability, 19 (1), 31-73. doi: 10.1007/s11009-015-9457-4
Model counting of monotone conjunctive normal form formulas with Spectra
Vaisman, Radislav, Strichman, Ofer and Gertsbakh, Ilya (2015). Model counting of monotone conjunctive normal form formulas with Spectra. INFORMS Journal On Computing, 27 (2), 406-415. doi: 10.1287/ijoc.2014.0633
Monte Carlo for estimating exponential convolution
Gertsbakh, Ilya, Neuman, Eyal and Vaisman, Radislav (2014). Monte Carlo for estimating exponential convolution. Communications in Statistics - Simulation and Computation, 44 (10), 2696-2704. doi: 10.1080/03610918.2013.842591
Network reliability Monte Carlo with nodes subject to failure
Gertsbakh, Ilya, Shpungin, Yoseph and Vaisman, Radislav (2014). Network reliability Monte Carlo with nodes subject to failure. International Journal of Performability Engineering, 10 (2), 163-172.
Permutational methods for performance analysis of stochastic flow networks
Gertsbach, Ilya, Rubinstein, Reuven, Shpungin, Yoseph and Vaisman, Radislav (2014). Permutational methods for performance analysis of stochastic flow networks. Probability In The Engineering And Informational Sciences, 28 (1), 21-38. doi: 10.1017/S0269964813000302
Counting with combined splitting and capture-recapture methods
Dupuis, Paul, Kaynar, Baher, Ridder, Ad, Rubinstein, Reuven and Vaisman, Radislav (2012). Counting with combined splitting and capture-recapture methods. Stochastic Models, 28 (3), 478-502. doi: 10.1080/15326349.2012.699761
The splitting method for decision making
Rubinstein, Reuven, Dolgin, Andrey and Vaisman, Radislav (2012). The splitting method for decision making. Communications in Statistics: Simulation and Computation, 41 (6), 905-921. doi: 10.1080/03610918.2012.625339
On the use of smoothing to improve the performance of the splitting method
C'erou, Frédéric, Guyader, Arnaud, Rubinstein, Reuven and Vaisman, Radislav (2011). On the use of smoothing to improve the performance of the splitting method. Stochastic Models, 27 (4), 629-650. doi: 10.1080/15326349.2011.614188
How to generate uniform samples on discrete sets using the splitting method
Glynn, Peter W., Dolgin, Andrey, Rubinstein, Reuven Y. and Vaisman, Radislav (2010). How to generate uniform samples on discrete sets using the splitting method. Probability in the Engineering and Informational Sciences, 24 (3), 405-422. doi: 10.1017/S0269964810000057
Decision-making with cross-entropy for self-adaptation
Moreno, Gabriel A., Strichman, Ofer, Chaki, Sagar and Vaisman, Radislav (2017). Decision-making with cross-entropy for self-adaptation. 12th IEEE/ACM International Symposium on Software Engineering for Adaptive and Self-Managing Systems, SEAMS 2017, Buenos Aires, Argentina, 22 - 23 May 2017. Piscataway, NJ, United States: Institute of Electrical and Electronics Engineers. doi: 10.1109/SEAMS.2017.7
D-spectra for networks with binary and ternary components
Gertsbakh, Ilya B. , Shpungin, Yoseph and Vaisman, Radislav (2016). D-spectra for networks with binary and ternary components. Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO’16), Beer Sheva, Israel, 15 -18 Febuary 2016. Piscataway, NJ, United States: Institute of Electrical and Electronics Engineers. doi: 10.1109/SMRLO.2016.44
Estimating the number of vertices in convex polytopes
Salomone, Robert, Vaisman, Radislav and Kroese, Dirk (2016). Estimating the number of vertices in convex polytopes. 4th Annual International Conference on Operations Research and Statistics (ORS 2016), 5th Annual Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2016), Singapore, Singapore, 18 - 19 January 2016. Singapore, Singapore: Global Science and Technology Forum. doi: 10.5176/2251-1938_ORS16.25
New sampling plans for estimating residual connectedness reliability
Shah, Rohan and Vaisman, Radislav (2016). New sampling plans for estimating residual connectedness reliability. 4th Annual International Conference on Operations Research and Statistics (ORS 2016), City of Singapore, Singapore, 18-19 January 2016. Singapore: Global Science and Technology Forum. doi: 10.5176/2251-1938_ORS16.18
Reliability of stochastic flow networks with continuous link capacities
Botev, Zdravko I., Vaisman, Slava, Rubinstein, Reuven Y. and L’Ecuyer, Pierre (2014). Reliability of stochastic flow networks with continuous link capacities. 2014 Winter Simulation Confernce, Savannah, GA, USA, 7-10 December 2014. Piscataway, NJ United States: Institute of Electrical and Electronics Engineers. doi: 10.1109/WSC.2014.7019919
The 59th ANZIAM Conference [Book of abstracts]
Thomas Taimre and Radislav Vaisman eds. (2023). The 59th ANZIAM Conference [Book of abstracts]. Australian Mathematical Society Australian and New Zealand Industrial and Applied Mathematics Conference, Cairns, Qld, Australia, 5 – 9 February 2023. Brisbane, Australia: The University of Queensland.
Finding minimum label spanning trees using cross-entropy method
(2020–2021) University of Melbourne
Improved algorithms for environmental monitoring network design problems
(2020–2021) University of Melbourne
Advanced Numerical Methods with Application to Rare-event Estimation and Data Analysis
Doctor Philosophy — Principal Advisor
Other advisors:
An integrative modelling approach to understanding human responses to hydrogen energy technologies
Doctor Philosophy — Principal Advisor
Rare event estimation for stochastic differential equations
Doctor Philosophy — Associate Advisor
Other advisors:
Efficient Estimation of Dependent Heavy-tailed Rare Sums
Master Philosophy — Associate Advisor
Other advisors:
Machine Learning for Tree Based Heuristics
Doctor Philosophy — Associate Advisor
Other advisors:
Image Generation from Texts
Doctor Philosophy — Associate Advisor
Other advisors:
Advances in Monte Carlo Methodology
(2018) Doctor Philosophy — Associate Advisor
Other advisors:
Optimization by Rare-event Simulation
(2018) Doctor Philosophy — Associate Advisor
Other advisors:
Monte Carlo Methods for Discrete Problems
(2017) Doctor Philosophy — Associate Advisor
Other advisors:
Note for students: The possible research projects listed on this page may not be comprehensive or up to date. Always feel free to contact the staff for more information, and also with your own research ideas.
I am always looking for prospective Ph.D. students. If you wish to know more about available projects, feel free to send me an email with your CV and a few lines regarding your research background and interests.
For details, please see: https://people.smp.uq.edu.au/RadislavVaisman/Research.html
Advances in Sequential Monte Carlo Methods with Applications to Degradation Data Analysis (PhD)
The majority of complex systems and products that empower our daily activities are subject to degradation. This affects the system lifetime, the quality of the service, and the corresponding safety of usage. Thus, a development of reliability management and prognostic programs is of overwhelming importance. In this project, you will investigate methods for understanding and managing of degradation processes. Specifically, the broad objective of this project is to develop new mathematical techniques and fast computational algorithms for inference in complex statistical models by building on recent advances in Monte Carlo methods, stochastic optimisation, and rare-event sampling techniques.
Approximate Computations in Complex Bayesian Models: Theory and Applications (PhD)
Statistical inference is one of the most important tools used for scientific investigation. When dealing with data, the Bayesian paradigm is very appealing since it allows to incorporate prior knowledge into a proposed model, provides a well-structured inference method (conditional on the newly observed information), does not rely on asymptotic approximation, provides interpretable answers, and implements a straight-forward framework for model comparison and hypothesis testing. While these merits often come with high computational costs, a continuing progress in the available computing resources allowed Bayesian statistics to rise to greater eminence in many scientific fields such as natural science, econometrics, social science, and engineering. However, despite recent advances, many real-life inference problems are still beyond the reach for classical Bayesian methods. Specifically, for many practical models, the evaluation of the likelihood function, a critical component of the Bayesian analysis, is either intractable or computationally prohibitive. In this project, you will investigate a number of methods such as the Pseudo-Marginal, the Integrated Nested Laplace, the Bayesian Synthetic Likelihood, the Variational Bayes, and the Approximate Bayesian Computation.
Advances in Sequential Monte Carlo Methods (Honours/Phd)
A series of interesting projects in the field of advanced Monte Carlo methods is available. In this project, you can expect to encounter various problems in the domains of Bayesian inference, time-series analysis, and modern machine learning.
Advanced inference and machine learning with applications to crop yield (Honours/PhD)
In this project you will investigate a series of advanced statistical inference methods with application to crop yield. The methods range from time-series analysis and forecasting to artificial deep neural networks.
Efficient methods for spatial micro-simulation. (Honours/Masters)
Spatial micro-simulation aims to generate a synthetic population from an anonymous sample data at the individual level, which matches the observed population in a geographical zone for a given set of criteria in the most realistic manner. A good micro-simulation method will allow to create estimated populations at a range of spatial scales where data may be otherwise unavailable. This project focuses on exploring efficient algorithms for spatial micro-simulation.