**Here is a list of my recent papers (see more in https://www.researchgate.net/profile/Vladimir_Norkin/contributions):**

**P.S. Knopov, V.I. Norkin.** Convergence conditions for the observed mean method in stochastic programming. *Cybernetics and Systems Analysis*, 2018, Vol. 54, No. 1, 45-59.

**A.A. Gaivoronski, Yu.M.Ermoliev, P.S. Knopov, V.I. Norkin.** Mathematical modeling of distributed catastrophic and terrorist risks. *Cybernetics and Systems Analysis*, 2015, Vol. 51, No. 1, 85-95.

**V.I. Norkin, A.I. Kibzun, and A.V. Naumov. **Reduction of two-stage probabilistic optimization problems with discrete distribution of random data to mixed integer programming problems. *Cybernetics and Systems Analysis*, 2014, Vol. 50, No. 5, 679-692.

**V.I. Norkin and R.J-B. Wets.** On a strong graphical law of large numbers for random semi-continuous mappings. *Vestnik of S.Petersburg University, Ser. 10*, 2013, Issue 3, pp. 102-111.

**A.I. Kibzun, A.V. Naumov, and V.I. Norkin.** On reduction of quantile optimization problems with discrete distribution to mixed integer programming problems. *Automation and Remote Control*, 2013, Vol. 74, Issue 6, pp. 951-967.

**Ermoliev, Yuri M., and Norkin, Vladimir I.**. “Sample average approximation method for compound stochastic optimization problems.” ** SIAM J. on Optimization** 23, no. 4 (2013): 2231-2263.

**V.I. Norkin and R.J-B. Wets.** Law of small numbers as concentration inequalities for sums of independent random sets and random set valued mappings / *Proce**edings** of the International workshop* “Stochastic programming for implementation and advanced applications” (STOPROG-2012, July 3-6, 2012, Neringa, Lithuania), L.Sakalauskas, A.Tomasgard, S.W.Wallase (Eds.), Vilnius Gediminas Technical University, Vilnius, 2012, pp. 94-99. Doi:10.5200/stoprog.2012.17

**A.I. Kibzun, A.V. Naumov, and V.I. Norkin.** Reduction of two-stage probabilistic optimization problems with discrete distribution of random data to mixed integer programming problems, in *Stochastic programming and its applications*, P.S.Knopov and V.I.Zorkaltsev (Eds.), Irkutsk, Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, 2012, pp. 76-103 (In Russian).

**A.I. Kibzun, A.V. Naumov, and V.I. Norkin. **On equivalence of the quantile optimization problem with discrete distribution and a mixed integer programming problem / *Proceedings of** t**he** International workshop* “Stochastic programming for implementation and advanced applications” (STOPROG-2012, July 3-6, 2012, Neringa, Lithuania), L.Sakalauskas, A.Tomasgard, S.W.Wallase (Eds.), Vilnius Gediminas Technical University, Vilnius, 2012, pp. 60-65. Doi:10.5200/stoprog.2012.11

**V.I. Norkin and S.V. Boyko.** Portfolio optimization based on safety principle, *Cybernetics and Systems Analysis*** , **Vol. 48 (2012), No. 2, 180-191.

**V.S. Kirilyuk and V.I. Norkin.** Polyhedral Coherent Risk Measures and their Application to Investment Decisions Support under Catastrophic Flood Risks, in: *Intelligent Data Processing in Global Monitoring for** En**vironment** and Security*, K. Markov and V. Velychko (eds.). ITHEA®, Sofia-Kiev, 2011, pp. 277-299.

**OTHER PAPERS**

**V.I. Norkin and M.A. Keyzer.** On convergence of kernel learning estimators,* SIAM J. Optim.*, Vol. 20 (2009), No. 3, pp. 1205–1223.

**V.I. Norkin and M.A. Keyzer.** On stochastic optimization and statistical learning in reproducing kernel Hilbert spaces by SVM, *Informatica (Vilnius)*** , **2009, Vol. 20, No. 2, 273–292.

**V.I. Norkin and M.A. Keyzer.** Efficiency of classification methods based on empirical risk minimization, *Cybernetics and Systems Analysis*** , **Vol. 45 (2009), No. 5, 750-761.

**V.I. Norkin and M.A. Keyzer.** Asymptotic efficiency of kernel support vector machines (SVM), *Cybernetics and Systems Analysis**, *Vol. 45 (2009), No. 4, pp.575-588.

**V.I. Norkin and B.O. Onishchenko.** Reliability optimization of a complex system by the stochastic branch and bound method, *Cybernetics and systems analysis**, *Vol. 44 (2008), No. 3, pp. 418-428.

**V.I. Norkin.** Self-insurance of an investor under repeating catastrophic risks, *Cybernetics and systems** ana**lysis**, *Vol. 43 (2007), No. 3, 377-383*. *

**V.I. Norkin**. On measuring and profiling catastrophic risks, *Cybernetics and systems analysis***,** Vol. 42 (2006), No.6, 839-850.

**V.I. Norkin.** On solution of Wiener-Hopf equation with probabilistic kernel, *Cybernetics and systems analysis*** , **Vol. 42 (2006), No.2, 195-201.

**V.I. Norkin and B.O. Onishchenko. **Minorant methods of stochastic global optimization. *Cybernetics and systems analysis, *Vol. 41 (2005), No.2, 203-214.

**Y.M. Ermoliev and V.I. Norkin.** Solution of nonconvex nonsmooth stochastic optimization problems. *Cybernetics and systems analysis*** , **Vol. 39 (2003), No.5, 701-715.