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Dr Zdravko Botev
Senior Lecturer

Dr Zdravko Botev

Science
School of Mathematics & Statistics

Zdravko Botev received his PhD in 2010 from the University of Queensland, Australia. Prior to joining UNSW Sydney as a Lecturer in Statistics, he was awarded postdoctoral fellowships at the Universities of Montreal and Cambridge.

His research interests include:  adaptive Monte Carlo methods for rare-event probability estimation,  network reliability modeling, kernel density estimation, and model selection methods. He is the author of one of the most widely used Matlab software scripts for nonparametric density estimation.

 keywords: rare-event simulation, splitting, multilevel Monte Carlo, Markov chain Monte Carlo, adaptive importance sampling,  network reliability

 

 

 
E-mail
botev@unsw.edu.au
Location
UNSW Sydney, Red Centre East Wing, Room 1034
  • Books | 2019
    2019, Data Science and Machine Learning: Mathematical and Statistical Methods, Chapman and Hall/CRC, http://dx.doi.org/10.1201/9780367816971
    Books | 2011
    2011, Handbook of Monte Carlo Methods, John Wiley & Sons, http://dx.doi.org/10.1002/9781118014967
    Books | 2007
    Kroese D; Taimre T; Botev Z; Rubinstein RY, 2007, Solutions Manual for Monte Carlo Methods, 2nd, Wiley-Interscience
  • Book Chapters | 2022
    2022, 'Truncated Multivariate Student Computations via Exponential Tilting', in Advances in Modeling and Simulation, Springer International Publishing, pp. 65 - 87, http://dx.doi.org/10.1007/978-3-031-10193-9_4
    Book Chapters | 2021
    2021, 'Variance Reduction for Matrix Computations with Applications to Gaussian Processes', in Zhao Q; Xia L (ed.), Performance Evaluation Methodologies and Tools, Springer International Publishing, pp. 243 - 261, http://dx.doi.org/10.1007/978-3-030-92511-6_16
    Book Chapters | 2019
    2019, 'Monte Carlo methods', in Wiley StatsRef: Statistics Reference Online, John Wiley & Sons, Ltd., http://dx.doi.org/10.1002/9781118445112.stat03619.pub2
    Book Chapters | 2019
    2019, 'Simulation from the Tail of the Univariate and Multivariate Normal Distribution', in Puliafito A; Trivedi KS (ed.), SYSTEMS MODELING: METHODOLOGIES AND TOOLS, SPRINGER INTERNATIONAL PUBLISHING AG, pp. 115 - 132, http://dx.doi.org/10.1007/978-3-319-92378-9_8
    Book Chapters | 2017
    Botev Z; Ridder A, 2017, 'Variance Reduction', in Balakrishnan N; Colton T; Everitt B; Piegorsch W; Ruggeri F; Teugels JL (ed.), Wiley StatsRef: Statistics Reference Online, Wiley Online Library, pp. 1 - 6, http://dx.doi.org/10.1002/9781118445112.stat07975
    Book Chapters | 2015
    2015, 'Spatial Process Simulation', in Schmidt V (ed.), Lectures on Stochastic Geometry, Spatial Statistics and Random Fields, Volume II: Analysis, Modeling and Simulation of Complex Structures, Springer-Verlag, Berlin, pp. 369 - 404, http://dx.doi.org/10.1007/978-3-319-10064-7_12
  • Journal articles | 2023
    2023, 'Radiological analysis of maxillary artery relationships to key bony landmarks in maxillofacial surgery', British Journal of Oral and Maxillofacial Surgery, http://dx.doi.org/10.1016/j.bjoms.2022.11.004
    Journal articles | 2022
    2022, 'Coordinate Descent for Variance-Component Models', Algorithms, 15, pp. 354 - 354, http://dx.doi.org/10.3390/a15100354
    Journal articles | 2020
    2020, 'A Universal Splitting Estimator for the Performance Evaluation of Wireless Communications Systems', IEEE Transactions on Wireless Communications, pp. 1 - 10, http://dx.doi.org/10.1109/TWC.2020.2982649
    Journal articles | 2020
    2020, 'Kernel Density Estimation with Linked Boundary Conditions', Studies in Applied Mathematics, http://dx.doi.org/10.1111/sapm.12322
    Journal articles | 2020
    2020, 'Sampling conditionally on a rare event via generalized splitting', INFORMS Journal on Computing, 32, pp. 986 - 995, http://dx.doi.org/10.1287/ijoc.2019.0936
    Journal articles | 2019
    2019, 'Fast and Accurate Computation of the Distribution of Sums of Dependent Log-Normals', Annals of Operations Research, http://dx.doi.org/10.1007/s10479-019-03161-x
    Journal articles | 2018
    2018, 'Monte Carlo estimation of the density of the sum of dependent random variables', Mathematics and Computers in Simulation, http://dx.doi.org/10.1016/j.matcom.2018.12.001
    Journal articles | 2018
    2018, 'On the Sum of Order Statistics and Applications to Wireless Communication Systems Performances', IEEE Transactions on Wireless Communications, 17, pp. 7801 - 7813, http://dx.doi.org/10.1109/TWC.2018.2871201
    Journal articles | 2016
    Botev ZI; L'Ecuyer P; Simard R; Tuffin B, 2016, 'Static Network Reliability Estimation under the Marshall-Olkin Copula', ACM Transactions on Modeling and Computer Simulation, 26, http://dx.doi.org/10.1145/2775106
    Journal articles | 2016
    Botev ZI; Ridder A; Rojas-Nandayapa L, 2016, 'Semiparametric Cross Entropy For Rare-Event Simulation', Journal of Applied Probability, 53, pp. 633 - 649, http://dx.doi.org/10.1017/jpr.2016.31
    Journal articles | 2016
    Vaisman R; Botev ZI; Ridder A, 2016, 'Sequential Monte Carlo for counting vertex covers in general graphs', Statistics and Computing, 26, pp. 591 - 607, http://dx.doi.org/10.1007/s11222-015-9546-9
    Journal articles | 2016
    2016, 'The normal law under linear restrictions: simulation and estimation via minimax tilting', Journal of the Royal Statistical Society: Series B (Statistical Methodology), 79, pp. 125 - 148, http://dx.doi.org/10.1111/rssb.12162
    Journal articles | 2015
    Botev ZI; Lloyd CJ, 2015, 'Importance accelerated robbins-monro recursion with applications to parametric confidence limits', Electronic Journal of Statistics, 9, pp. 2058 - 2075, http://dx.doi.org/10.1214/15-EJS1071
    Journal articles | 2014
    Kroese DP; Brereton T; Taimre T; Botev ZI, 2014, 'Why the Monte Carlo method is so important today', Wiley Interdisciplinary Reviews: Computational Statistics, 6, pp. 386 - 392, http://dx.doi.org/10.1002/wics.1314
    Journal articles | 2013
    2013, 'Markov chain importance sampling with applications to rare event probability estimation', Statistics and Computing, 23, pp. 271 - 285, http://dx.doi.org/10.1007/s11222-011-9308-2
    Journal articles | 2013
    2013, 'Static network reliability estimation via generalized splitting', INFORMS Journal on Computing, 25, pp. 56 - 71, http://dx.doi.org/10.1287/ijoc.1110.0493
    Journal articles | 2013
    2013, 'The Cross-Entropy Method for Optimization', Handbook of Statistics, 31, pp. 35 - 59, http://dx.doi.org/10.1016/B978-0-444-53859-8.00003-5
    Journal articles | 2012
    2012, 'Efficient Monte Carlo simulation via the generalized splitting method', Statistics and Computing, 22, pp. 1 - 16, http://dx.doi.org/10.1007/s11222-010-9201-4
    Journal articles | 2011
    2011, 'The generalized cross entropy method, with applications to probability density estimation', Methodology and Computing in Applied Probability, 13, pp. 1 - 27, http://dx.doi.org/10.1007/S11009-009-9133-7
    Journal articles | 2010
    Botev ZI; Grotowski JF; Kroese DP, 2010, 'Kernel density estimation via diffusion', Annals of Statistics, 38, pp. 2916 - 2957, http://dx.doi.org/10.1214/10-AOS799
    Journal articles | 2008
    2008, 'An efficient algorithm for rare-event probability estimation, combinatorial optimization and counting', Methodology and Computing in Applied Probability, 10, pp. 471 - 505, http://dx.doi.org/10.1007/s11009-008-9073-7
    Journal articles | 2008
    2008, 'Non-asymptotic bandwidth selection for density estimation of discrete data', Methodology and Computing in Applied Probability, 10, pp. 435 - 541, http://dx.doi.org/10.1007/s11009-007-9057-z
    Journal articles | 2007
    2007, 'Generalised cross-entropy methods with applications to rare-event simulation and optimization', Simulation - Transactions of the Society for Modeling and Simulation International, 83, pp. 785 - 806, http://dx.doi.org/10.1177/0037549707087067
  • Preprints | 2023
    2023, Column Subset Selection and Nyström Approximation via Continuous Optimization,
    Conference Papers | 2021
    2021, 'Estimation When Both Covariance and Precision Matrices are Sparse', in Proceedings - Winter Simulation Conference, IEEE, presented at 2021 Winter Simulation Conference (WSC), 12 December 2021 - 15 December 2021, http://dx.doi.org/10.1109/WSC52266.2021.9715487
    Conference Papers | 2019
    2019, 'Mosaic Style Transfer Using Sparse Autocorrelograms', in Proceedings of the 20th ISMIR Conference, Delft, Netherlands, November 4-8, 2019, Delft, The Netherlands, presented at 20th annual conference of the International Society for Music Information Retrieval (ISMIR), Delft, The Netherlands, 04 November 2019 - 08 November 2019, https://ismir2019.ewi.tudelft.nl/?q=node/1
    Conference Papers | 2018
    2018, 'EXACT POSTERIOR SIMULATION FROM THE LINEAR LASSO REGRESSION', in Proceedings - Winter Simulation Conference, Gothenburg, Sweden, pp. 1706 - 1717, presented at 2018 Winter Simulation Conference, Gothenburg, Sweden, 09 December 2018 - 12 December 2018, http://dx.doi.org/10.1109/WSC.2018.8632237
    Conference Papers | 2018
    2018, 'Importance Sampling Estimator of Outage Probability under Generalized Selection Combining Model', in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Calgary, AB, Canada, Canada, pp. 3909 - 3913, presented at 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, Canada, Canada, 15 April 2018 - 20 October 2018, http://dx.doi.org/10.1109/ICASSP.2018.8462177
    Conference Papers | 2018
    2018, 'ON A GENERALIZED SPLITTING METHOD FOR SAMPLING FROM A CONDITIONAL DISTRIBUTION', in Proceedings - Winter Simulation Conference, Gothenburg, Sweden, Sweden, pp. 1694 - 1705, presented at 2018 Winter Simulation Conference, Gothenburg, Sweden, Sweden, 09 December 2018 - 12 December 2018, http://dx.doi.org/10.1109/WSC.2018.8632422
    Conference Papers | 2017
    2017, 'Accurate computation of the right tail of the sum of dependent log-normal variates', in Chan WKV; D’Ambrogio A; Zacharewicz G; Mustafee N; Wainer G; Page E (eds.), 2017 Winter Simulation Conference (WSC), IEEE, Las Vegas, NV, USA, pp. 1880 - 1890, presented at 2017 Winter Simulation Conference (WSC), Las Vegas, NV, USA, 03 December 2017 - 06 December 2017, http://dx.doi.org/10.1109/WSC.2017.8247924
    Conference Papers | 2017
    2017, 'Logarithmically Efficient Estimation of the Tail of the Multivariate Normal Distribution', in Chan WKV; D’Ambrogio A; Zacharewicz G; Mustafee N; Wainer G; Page E (eds.), 2017 Winter Simulation Conference (WSC), IEEE, Las Vegas, NV, USA, pp. 1903 - 1913, presented at 2017 Winter Simulation Conference (WSC), Las Vegas, NV, USA, 03 December 2017 - 06 December 2017, http://dx.doi.org/10.1109/WSC.2017.8247926
    Conference Papers | 2017
    2017, 'Simulation from the Normal Distribution Truncated to an Interval in the Tail', in Puliafito A; Trivedi KS; Tuffin B; Scarpa M; Machida F; Alonso J (eds.), 10th EAI International Conference on Performance Evaluation Methodologies and Tools., ACM, Taormina, Italy, pp. 23 - 29, presented at 10th EAI International Conference on Performance Evaluation Methodologies and Tools., Taormina, Italy, 25 October 2017 - 28 October 2017, http://dx.doi.org/10.4108/eai.25-10-2016.2266879
    Conference Papers | 2016
    2016, 'An M-estimator for rare-event probability estimation', in Proceedings of the 2016 Winter Simulation Conference, IEEE Press Piscataway, NJ, USA ©2016, Arlington, Virginia, USA, pp. 359 - 369, presented at 2016 Winter Simulation Conference, Arlington, Virginia, USA, 11 December 2016 - 11 December 2016, http://dx.doi.org/10.1109/WSC.2016.7822103
    Conference Papers | 2016
    2016, 'Efficient probability estimation and simulation of the truncated multivariate student-t distribution', in Yilmaz L; Chan WKV; Moon I; Roeder TMK; Macal C; Rossetti MD (eds.), Proceedings of the 2015 Winter Simulation Conference, IEEE, Huntington Beach, California , USA, pp. 380 - 391, presented at Winter Simulation Conference, Huntington Beach, California , USA, 06 March 2016 - 09 March 2016, http://dx.doi.org/10.1109/WSC.2015.7408180
    Conference Papers | 2015
    2015, 'Tail distribution of the maximum of correlated Gaussian random variables', in Yilmaz, L; Chan WKV; Moon I; Roeder TMK; Macal C; Rossetti, MD (eds.), Proceedings of the 2015 Winter Simulation Conference, IEEE, Huntington Beach, CA, pp. 633 - 642, presented at 2015 Winter Simulation Conference (WSC), Huntington Beach, CA, 06 December 2015 - 09 December 2015, http://dx.doi.org/10.1109/WSC.2015.7408202
    Conference Papers | 2014
    2014, 'Reliability of Stochastic Flow Networks with Continuous Link Capacities', in Tolk A; Diallo SY; Ryzhov IO; Yilmaz L; Buckley S; Miller JA (eds.), Proceedings of the 2014 Winter Simulation Conference, IEEE, Savannah, Georgia, USA, pp. 543 - 552, presented at Winter Simulation Conference 2014, Savannah, Georgia, USA, 07 December 2014 - 10 December 2014, http://dx.doi.org/10.1109/WSC.2014.7019919
    Conference Papers | 2013
    Botev Z; L’Ecuyer P; Tuffin B, 2013, 'Modeling and Estimating Small Unreliabilities for Static Networks with Dependent Components', in Caruge D; Calvin C; Diop CM; Malvagi F; Trama J-C (eds.), SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, SNA + MC2013 - Joint International Conference on Supecomputing in Nuclear Applications + Montel Carlo, Paris, France, pp. Article 03306, presented at SNA + MC2013 - Joint International Conference on Supecomputing in Nuclear Applications + Montel Carlo, Paris, France, 27 October 2013 - 31 October 2013, http://dx.doi.org/10.1051/snamc/201403306
    Conference Papers | 2012
    2012, 'Dependent failures in highly reliable static network', in Proceedings of the 2012 Winter Simulation Conference, Winter Simulation Conference, Berlin, Germany, pp. Artcile 39 (12pp), presented at 2012 Winter Simulation Conference, Berlin, Germany, 09 December 2012 - 12 December 2012, http://dx.doi.org/10.1109/WSC.2012.6465033
    Conference Papers | 2011
    2011, 'An importance sampling method based on a one-step look-ahead density from a Markov chain', in Proceedings of the 2011 Winter Simulation Conference, pp. 528 - 539, presented at Winter Simulation Conference, http://dx.doi.org/10.1109/WSC.2011.6147782
    Conference Papers | 2006
    Botev Z; Kroese D; Taimre T, 2006, 'Generalized cross-entropy methods', in Proceedings of RESIM, RESIM, Bamberg, Germany, pp. 1 - 30, presented at RESIM, Bamberg, Germany
    Conference Papers | 2004
    2004, 'Global Likelihood optimization via cross-entropy method, with and application to mixture models', in Proceedings of the Winter Simulation Conference, Washington, DC, pp. 529 - 535, presented at Winter Simulation Conference, Washington, DC