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Popkov Yurii Solomonovich

Publications in Math-Net.Ru

  1. To the theory of polynomial models of discrete dynamic systems

    Dokl. RAN. Math. Inf. Proc. Upr., 525 (2025),  109–129
  2. Entropy estimation of regression models and their application to forecasting the area of thermokarst lakes in the Kola and North Yakut tundra

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2025, no. 4,  61–74
  3. Iterative methods with self-learning for solving nonlinear equations

    Avtomat. i Telemekh., 2024, no. 5,  129–135
  4. Entropy-randomized estimation of nonlinear dynamical model parameters on observation of dependent process

    Chelyab. Fiz.-Mat. Zh., 9:1 (2024),  144–159
  5. Analytic method for solving one class of nonlinear equations

    Dokl. RAN. Math. Inf. Proc. Upr., 519 (2024),  53–56
  6. Using geo-simulation modeling to predict changes in Arctic lake areas

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2024, no. 3,  95–106
  7. Assimptotic numerical method for multidimensional integrals of forecasting of thermokarst lakes

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2024, no. 2,  86–91
  8. Randomized machine learning algorithms to forecast the evolution of thermokarst lakes area in permafrost zones

    Avtomat. i Telemekh., 2023, no. 1,  98–120
  9. On some properties of randomized machine learning procedures in the presence of noisy data

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2023, no. 2,  89–95
  10. Oscillations in Dynamic Systems with an Entropy Operator

    Rus. J. Nonlin. Dyn., 19:1 (2023),  125–135
  11. Randomization and entropy in machine learning and data processing

    Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  3–27
  12. Forecasting of COVID-19 dynamics in EU using randomized machine learning applied to dynamic models

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2022, no. 3,  67–78
  13. Randomized machine learning and forecasting of nonlinear dynamic models applied to SIR epidemiological model

    Informatics and Automation, 21:4 (2022),  659–677
  14. Entropy-randomized method for the reconstruction of missing data

    Avtomat. i Telemekh., 2021, no. 4,  140–160
  15. Entropy-randomized projection

    Avtomat. i Telemekh., 2021, no. 3,  149–168
  16. Entropine-randomized forecasting of the evolution of the area of thermokarst lakes

    Chelyab. Fiz.-Mat. Zh., 6:3 (2021),  384–396
  17. Forecasting development of COVID-19 epidemic in European Union using entropy-randomized approach

    Informatics and Automation, 20:5 (2021),  1010–1033
  18. Elements of randomized forecasting and its application to daily electrical load prediction in a regional power system

    Avtomat. i Telemekh., 2020, no. 7,  148–172
  19. Asymptotic efficiency of maximum entropy estimates

    Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  104–107
  20. Deterministic and randomized methods of entropy projection for dimensionality reduction problems

    Inform. Primen., 14:4 (2020),  47–54
  21. Cross-entropy reduction of data matrix with restriction on information capacity of projectors and their norms

    Mat. Model., 32:9 (2020),  35–52
  22. Randomized machine learning procedures

    Avtomat. i Telemekh., 2019, no. 9,  122–142
  23. Entropy dimension reduction method for randomized machine learning problems

    Avtomat. i Telemekh., 2018, no. 11,  106–122
  24. A method of generating random vectors with a given probability density function

    Avtomat. i Telemekh., 2018, no. 9,  31–45
  25. Mathematical methods of randomized machine teaching

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 155 (2018),  65–88
  26. Entropy methad of compression matrices with random elements

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2018, no. 1,  8–15
  27. Effectiveness estimation of matrices compression in the procedures of randomized machine learning

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2018, no. 1,  3–7
  28. Iterative MC-algorithm to solve the global optimization problems

    Avtomat. i Telemekh., 2017, no. 2,  82–98
  29. Entropy-robust randomized forecasting under small sets of retrospective data

    Avtomat. i Telemekh., 2016, no. 5,  109–127
  30. Monte Carlo method of batch iterations: probabilistic characteristics

    Avtomat. i Telemekh., 2015, no. 5,  60–71
  31. Parallel Monte Carlo for entropy-robust estimation

    Mat. Model., 27:6 (2015),  14–32
  32. Parametric and nonparametric estimation for characteristics of randomized models under limited data (entropy approach)

    Mat. Model., 27:3 (2015),  63–85
  33. Estimating the characteristics of randomized dynamic data models (the entropy-robust approach)

    Avtomat. i Telemekh., 2014, no. 5,  83–90
  34. Method of Monte Carlo batch iteration to solving by global optimization problems

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2014, no. 3,  39–52
  35. Estimation of characteristics of randomized static models of data (entropy-robust approach)

    Avtomat. i Telemekh., 2013, no. 11,  114–131
  36. Stochastical micro- and macrodynamics of spatial economic exchage

    Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2011, no. 4,  30–38
  37. Accounting of prior information in paramacrosystems

    Avtomat. i Telemekh., 2008, no. 10,  19–30
  38. Probabilistic characteristics of paramacrosystems

    Avtomat. i Telemekh., 2008, no. 2,  52–63
  39. Qualitative analysis of dynamic systems with the $B_q$ entropy operator

    Avtomat. i Telemekh., 2007, no. 1,  41–56
  40. Theory of dynamic entropy-operator systems and its applications

    Avtomat. i Telemekh., 2006, no. 6,  75–105
  41. Dynamic procedures of image reconstruction from projections (computer tomography)

    Avtomat. i Telemekh., 2006, no. 2,  70–79
  42. Estimation of a local lipschitz constant of the $B_q$-entropy

    Avtomat. i Telemekh., 2005, no. 7,  54–65
  43. Macrosystems Models of Dynamic Stochastic Networks

    Avtomat. i Telemekh., 2003, no. 12,  143–163
  44. Positive Dynamic Systems with the Entropy Operator

    Avtomat. i Telemekh., 2003, no. 3,  104–113
  45. Macrosystems and grid technologies: dynamic stochastic network modeling

    Probl. Upr., 2003, no. 3,  10–20
  46. Entropy-linear programming: multiplicative methods with $p$-active variables and feedback

    Avtomat. i Telemekh., 1999, no. 5,  145–155
  47. Multiplicative algorithms with $p$ active variables in problems of the maximization of entropy on polyhedra

    Avtomat. i Telemekh., 1998, no. 10,  55–63
  48. On the convergence of direct multiplicative methods in problems of conditional maximization of entropy

    Avtomat. i Telemekh., 1998, no. 4,  93–105
  49. Multiplicative algorithms for reconstructing images from projections

    Avtomat. i Telemekh., 1998, no. 1,  60–77
  50. Variational Principle of Image Reconstruction from Projections

    Avtomat. i Telemekh., 1997, no. 12,  131–139
  51. Substantiation of the entropy maximization method for problems of image restoration from projections

    Avtomat. i Telemekh., 1995, no. 1,  94–100
  52. Local equilibria principle in regional dynamics models

    Mat. Model., 2:5 (1990),  40–59
  53. Mathematical models of non-equilibrium states of macrosystems with self-reproduction and locally thermodynamic distribution

    Avtomat. i Telemekh., 1989, no. 9,  135–147
  54. A multiplicative algorithm for Fermi-models of macrosystems

    Avtomat. i Telemekh., 1988, no. 3,  70–80
  55. Locally stationary models of nonequilibrium dynamics of macrosystems with self-reproduction

    Dokl. Akad. Nauk SSSR, 303:3 (1988),  567–569
  56. Identification of nonlinear dynamic plants by pattern recognition methods

    Avtomat. i Telemekh., 1984, no. 9,  94–101
  57. Mathematical models of stationary macrosystem states

    Avtomat. i Telemekh., 1984, no. 6,  129–137
  58. Multiplicative schemes of iteration algorithms of optimization

    Dokl. Akad. Nauk SSSR, 272:6 (1983),  1304–1306
  59. Stochastic analysis of automatic systems with dynamic pulse frequency modulation

    Avtomat. i Telemekh., 1980, no. 4,  49–60
  60. On one quadratic optimization problem for binary nonlinear sequential machines

    Avtomat. i Telemekh., 1978, no. 12,  37–47
  61. Models of control systems with dynamic frequency pulse modulation

    Avtomat. i Telemekh., 1977, no. 2,  52–63
  62. Analysis of nonlinear systems described by the Volterra series

    Avtomat. i Telemekh., 1976, no. 11,  5–15
  63. On efficiency of mixed strategies in optimization problems

    Avtomat. i Telemekh., 1976, no. 9,  90–95
  64. Optimal planning and management of conurbations (survey and problems)

    Avtomat. i Telemekh., 1976, no. 6,  78–116
  65. Mathematical simulation of the development of urban systems

    Avtomat. i Telemekh., 1975, no. 11,  93–127
  66. Multidimensional Laplace-Galois transformation in the theory of nonlinear sequential machines

    Dokl. Akad. Nauk SSSR, 206:5 (1972),  1061–1064

  67. Vladimir L'vovich Arlazarov (on 80th birthday)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:1 (2020),  150–153
  68. In memory of Professor Vladimir Iosifovich Gurman

    Program Systems: Theory and Applications, 7:3 (2016),  109–132
  69. Stanislav Vasil'evich Emel'yanov (A Tribute in Honor of His 75th Birthday)

    Differ. Uravn., 40:5 (2004),  579–581
  70. A review of the book “Theory of Pattern Recognition” by V. N. Vapnik and A. Ya. Chervonenkis

    Avtomat. i Telemekh., 1975, no. 10,  191–192

© Steklov Math. Inst. of RAS, 2026