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 2024 |
| 1. |
A. V. Gasnikov, A. I. Lobanov, Y. A. Kholodov, A. V. Schuplev, M. V. Yashina, “Editor’s note”, Computer Research and Modeling, 16:1 (2024), 5–10   |
| 2. |
A. Sadchikov, S. Chezhegov, A. N. Beznosikov, A. V. Gasnikov, “Local SGD for Near-Quadratic Problems: Improving Convergence under Unconstrained Noise Conditions”, UMN, 2024    ;  |
| 3. |
A. V. Gasnikov, V. N. Temlyakov, “On greedy approximation in complex Banach spaces”, UMN, 79:6(480) (2024), 39–56 ; |
| 4. |
Comput. Math. Math. Phys., 64:4 (2024), 739–770 |
| 5. |
S. S. Ablaev, A. N. Beznosikov, A. V. Gasnikov, D. M. Dvinskikh, A. V. Lobanov, S. M. Puchinin, F. S. Stonyakin, “On some works of Boris Teodorovich Polyak on the convergence of gradient methods and their development”, Comput. Math. Math. Phys., 64:4 (2024), 635–675  |
| 6. |
A. Lobanov, A. Gasnikov, “Improved maximum noise level estimation in black-box optimization problems”, Issledovaniya po prikladnoi matematike i informatike. IV, Zap. nauchn. sem. POMI, 540, POMI, SPb., 2024, 132–147 ; |
| 7. |
A. V. Gasnikov, M. S. Alkousa, A. V. Lobanov, Y. V. Dorn, F. S. Stonyakin, I. A. Kuruzov, S. R. Singh, “On Quasi-Convex Smooth Optimization Problems by a Comparison Oracle”, Rus. J. Nonlin. Dyn., 20:5 (2024), 813–825 ; |
| 8. |
G. K. Bychkov, D. M. Dvinskikh, A. V. Antsiferova, A. V. Gasnikov, A. V. Lobanov, “Accelerated Zero-Order SGD under High-Order Smoothness and Overparameterized Regime”, Rus. J. Nonlin. Dyn., 20:5 (2024), 759–788 ; |
| 9. |
N. T. Nguyen, A. V. Rogozin, A. V. Gasnikov, “Average-Case Optimization Analysis for Distributed Consensus Algorithms on Regular Graphs”, Rus. J. Nonlin. Dyn., 20:5 (2024), 907–931 ; |
| 10. |
V. O. Krivchenko, A. V. Gasnikov, D. A. Kovalev, “Convex-Concave Interpolation and Application of PEP to the Bilinear-Coupled Saddle Point Problem”, Rus. J. Nonlin. Dyn., 20:5 (2024), 875–893 ; |
| 11. |
V. N. Smirnov, K. M. Kazistova, I. A. Sudakov, V. Leplat, A. V. Gasnikov, A. V. Lobanov, “Asymptotic Analysis of the Ruppert – Polyak Averaging for Stochastic Order Oracle”, Rus. J. Nonlin. Dyn., 20:5 (2024), 961–978 ; |
| 12. |
N. E. Yudin, A. V. Gasnikov, “Regularization and acceleration of Gauss – Newton method”, Computer Research and Modeling, 16:7 (2024), 1829–1840 |
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| 2023 |
| 13. |
Ya. D. Tominin, V. D. Tominin, E. D. Borodich, D. A. Kovalev, P. E. Dvurechenskii, A. V. Gasnikov, S. V. Chukanov, “On accelerated methods for saddle-point problems with composite structure”, Kompyuternye issledovaniya i modelirovanie, 15:2 (2023), 433–467 ; |
| 14. |
A. V. Gasnikov, “Boris Polyak — path in science. Optimization”, Computer Research and Modeling, 15:2 (2023), 235–243 |
| 15. |
Evgeniya V. Gasnikova, Alexander V. Gasnikov, Demyan V. Yarmoshik, Meruza B. Kubentayeva, Mikhail I. Persiianov, Irina V. Podlipnova, Ekaterina V. Kotlyarova, Ilya A. Sklonin, Elena D. Podobnaya, Vladislav V. Matyukhin, “About multistage transportation model and sufficient conditions for its potentiality”, Mat. Teor. Igr Pril., 15:2 (2023), 3–17 |
| 16. |
M. S. Alkousa, A. V. Gasnikov, E. L. Gladin, I. A. Kuruzov, D. A. Pasechnyuk, F. S. Stonyakin, “Solving strongly convex-concave composite saddle-point problems with low dimension of one group of variable”, Sb. Math., 214:3 (2023), 285–333  |
| 17. |
S. S. Ablaev, F. S. Stonyakin, M. S. Alkousa, A. V. Gasnikov, “Adaptive subgradient methods for mathematical programming problems with quasi-convex functions”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S1–S18 |
| 18. |
B. A. Alashkar, A. V. Gasnikov, D. M. Dvinskikh, A. V. Lobanov, “Gradient-free federated learning methods with $l_1$ and $l_2$-randomization for non-smooth convex stochastic optimization problems”, Comput. Math. Math. Phys., 63:9 (2023), 1600–1653 |
| 19. |
A. N. Beznosikov, A. V. Gasnikov, K. E. Zainullina, A. Yu. Maslovskii, D. A. Pasechnyuk, “A unified analysis of variational inequality methods: variance reduction, sampling, quantization, and coordinate descent”, Comput. Math. Math. Phys., 63:2 (2023), 147–174 |
| 20. |
A. V. Gasnikov, A. I. Lobanov, “Editor’s note”, Computer Research and Modeling, 15:2 (2023), 229–233 |
| 21. |
N. T. Nguyen, A. Rogozin, D. Metelev, A. Gasnikov, “Min-max optimization over slowly time-varying graphs”, Dokl. Math., 108:suppl. 2 (2023), S300–S309 |
| 22. |
M. I. Rudakov, A. N. Beznosikov, Y. A. Kholodov, A. V. Gasnikov, “Activations and gradients compression for model-parallel training”, Dokl. Math., 108:suppl. 2 (2023), S272–S281 |
| 23. |
D. Medyakov, G. Molodtsov, A. Beznosikov, A. Gasnikov, “Optimal data splitting in distributed optimization for machine learning”, Dokl. Math., 108:suppl. 2 (2023), S465–S475 |
| 24. |
A. Pichugin, M. Pechin, A. Beznosikov, A. Savchenko, A. Gasnikov, “Optimal analysis of method with batching for monotone stochastic finite-sum variational inequalities”, Dokl. Math., 108:suppl. 2 (2023), S348–S359 |
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| 2022 |
| 25. |
N. V. Pletnev, P. E. Dvurechenskii, A. V. Gasnikov, “Application of gradient optimization methods to solve the Cauchy problem for the Helmholtz equation”, Computer Research and Modeling, 14:2 (2022), 417–444 |
| 26. |
P. A. Ostroukhov, R. A. Kamalov, P. E. Dvurechenskii, A. V. Gasnikov, “Tensor methods for strongly convex strongly concave saddle point problems and strongly monotone variational inequalities”, Kompyuternye issledovaniya i modelirovanie, 14:2 (2022), 357–376 ; |
| 27. |
D. M. Dvinskikh, V. V. Pirau, A. V. Gasnikov, “On the relations of stochastic convex optimization problems with empirical risk minimization problems on p-norm balls”, Computer Research and Modeling, 14:2 (2022), 309–319 |
| 28. |
A. I. Bazarova, A. N. Beznosikov, A. V. Gasnikov, “Linearly convergent gradient-free methods for minimization of parabolic approximation”, Kompyuternye issledovaniya i modelirovanie, 14:2 (2022), 239–255 ; |
| 29. |
M. S. Alkousa, A. V. Gasnikov, P. E. Dvurechenskii, A. A. Sadiev, L. Ya. Razouk, “An approach for the nonconvex uniformly concave structured saddle point problem”, Kompyuternye issledovaniya i modelirovanie, 14:2 (2022), 225–237 ; |
| 30. |
D. Yu. Turdakov, A. I. Avetisyan, K. V. Arkhipenko, A. V. Antsiferova, D. S. Vatolin, S. S. Volkov, A. V. Gasnikov, D. A. Devyatkin, M. D. Drobyshevskiy, A. P. Kovalenko, M. I. Krivonosov, N. V. Lukashevich, V. A. Malykh, S. I. Nikolenko, I. V. Oseledets, A. I. Perminov, I. V. Sochenkov, M. M. Tihomirov, A. N. Fedotov, M. Yu. Khachay, “Trusted artificial intelligence: challenges and promising solutions”, Dokl. Math., 106:suppl. 1 (2022), S9–S13 |
| 31. |
E. L. Gladin, A. V. Gasnikov, E. S. Ermakova, “Vaidya's Method for Convex Stochastic Optimization Problems in Small Dimension”, Math. Notes, 112:2 (2022), 183–190 |
| 32. |
A. V. Gasnikov, A. I. Lobanov, “Editor’s note”, Computer Research and Modeling, 14:2 (2022), 209–212 |
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| 2021 |
| 33. |
E. L. Gladin, M. Alkousa, A. V. Gasnikov, “Solving convex min-min problems with smoothness and strong convexity in one group of variables and low dimension in the other”, Autom. Remote Control, 82:10 (2021), 1679–1691 |
| 34. |
E. V. Kotlyarova, A. V. Gasnikov, E. V. Gasnikova, D. V. Yarmoshik, “Finding equilibrium in two-stage traffic assignment model”, Computer Research and Modeling, 13:2 (2021), 365–379 |
| 35. |
E. A. Vorontsova, A. V. Gasnikov, P. E. Dvurechenskii, A. S. Ivanova, D. A. Pasechnyuk, “Numerical methods for the resource allocation problem in a computer network”, Comput. Math. Math. Phys., 61:2 (2021), 297–328 |
| 36. |
A. V. Gasnikov, D. M. Dvinskikh, P. E. Dvurechenskii, D. Kamzolov, V. V. Matyukhin, D. A. Pasechnyuk, N. K. Tupitsa, A. V. Chernov, “Accelerated meta-algorithm for convex optimization problems”, Comput. Math. Math. Phys., 61:1 (2021), 17–28 |
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| 2020 |
| 37. |
F. S. Stonyakin, A. N. Stepanov, A. V. Gasnikov, A. A. Titov, “Mirror descent for constrained optimization problems with large subgradient values of functional constraints”, Kompyuternye issledovaniya i modelirovanie, 12:2 (2020), 301–317 ; |
| 38. |
D. M. Dvinskikh, S. S. Omelchenko, A. V. Gasnikov, A. I. Turin, “Accelerated gradient sliding for minimizing a sum of functions”, Dokl. Math., 101:3 (2020), 244–246 |
| 39. |
D. M. Dvinskikh, A. I. Turin, A. V. Gasnikov, S. S. Omelchenko, “Accelerated and Unaccelerated Stochastic Gradient Descent in Model Generality”, Math. Notes, 108:4 (2020), 511–522 |
| 40. |
M. S. Alkousa, A. V. Gasnikov, D. M. Dvinskikh, D. A. Kovalev, F. S. Stonyakin, “Accelerated methods for saddle-point problem”, Comput. Math. Math. Phys., 60:11 (2020), 1787–1809 |
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| 2019 |
| 41. |
E. Vorontsova, A. V. Gasnikov, E. A. Gorbunov, P. E. Dvurechenskii, “Accelerated gradient-free optimization methods with a non-Euclidean proximal operator”, Autom. Remote Control, 80:8 (2019), 1487–1501 |
| 42. |
E. A. Vorontsova, A. V. Gasnikov, E. A. Gorbunov, “Accelerated descent along a random direction with non-Euclidean prox-structure”, Avtomat. i Telemekh., 2019, no. 4, 126–143 |
| 43. |
E. A. Gorbunov, E. Vorontsova, A. V. Gasnikov, “On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere”, Math. Notes, 106:1 (2019), 11–19 |
| 44. |
E. A. Vorontsova, A. V. Gasnikov, A. S. Ivanova, E. A. Nurminsky, “The Walrasian equilibrium and centralized distributed optimization in terms of modern convex optimization methods on the example of resource allocation problem”, Num. Anal. Appl., 12:4 (2019), 338–358 |
| 45. |
A. S. Anikin, O. A. Bol'shakova, A. V. Gasnikov, A. Yu. Gornov, T. V. Ermak, D. V. Makarenko, V. P. Morozov, B. O. Neterebskii, P. A. Yakovlev, “Local algorithms for minimizing the force field for 3D representation of macromolecules”, Comput. Math. Math. Phys., 59:12 (2019), 1994–2008 |
| 46. |
A. V. Gasnikov, A. I. Turin, “Fast gradient descent for convex minimization problems with an oracle producing a $(\delta,L)$-model of function at the requested point”, Comput. Math. Math. Phys., 59:7 (2019), 1085–1097 |
| 47. |
A. V. Gasnikov, P. E. Dvurechenskii, F. S. Stonyakin, A. A. Titov, “An adaptive proximal method for variational inequalities”, Comput. Math. Math. Phys., 59:5 (2019), 836–841 |
| 48. |
D. R. Baymurzina, A. V. Gasnikov, E. V. Gasnikova, P. E. Dvurechenskii, E. I. Ershov, M. B. Kubentayeva, A. A. Lagunovskaya, “Universal method of searching for equilibria and stochastic equilibria in transportation networks”, Comput. Math. Math. Phys., 59:1 (2019), 19–33 |
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| 2018 |
| 49. |
A. S. Bayandina, A. V. Gasnikov, A. A. Lagunovskaya, “Gradient-free two-point methods for solving stochastic nonsmooth convex optimization problems with small non-random noises”, Autom. Remote Control, 79:8 (2018), 1399–1408 |
| 50. |
A. V. Gasnikov, E. A. Gorbunov, D. A. Kovalev, A. Mohammed, E. O. Chernousova, “The global rate of convergence for optimal tensor methods in smooth convex optimization”, Computer Research and Modeling, 10:6 (2018), 737–753 |
| 51. |
A. V. Gasnikov, M. B. Kubentayeva, “Searching stochastic equilibria in transport networks by universal primal-dual gradient method”, Computer Research and Modeling, 10:3 (2018), 335–345 |
| 52. |
A. V. Gasnikov, D. A. Kovalev, “A hypothesis about the rate of global convergence for optimal methods (Newton's type) in smooth convex optimization”, Computer Research and Modeling, 10:3 (2018), 305–314 |
| 53. |
P. Dvurechensky, A. Gasnikov, A. Lagunovskaya, “Parallel algorithms and probability of large deviation for stochastic convex optimization problems”, Num. Anal. Appl., 11:1 (2018), 33–37 |
| 54. |
A. Gasnikov, P. Dvurechensky, M. Zhukovskii, S. Kim, S. Plaunov, D. Smirnov, F. Noskov, “About the power law of the PageRank vector distribution. Part 2. Backley–Osthus model, power law verification for this model and setup of real search engines”, Num. Anal. Appl., 11:1 (2018), 16–32 |
| 55. |
A. S. Bayandina, A. V. Gasnikov, E. V. Gasnikova, S. V. Matsievskii, “Primal-dual mirror descent method for constraint stochastic optimization problems”, Comput. Math. Math. Phys., 58:11 (2018), 1728–1736 |
| 56. |
A. V. Gasnikov, E. V. Gasnikova, Yu. E. Nesterov, “Dual methods for finding equilibriums in mixed models of flow distribution in large transportation networks”, Comput. Math. Math. Phys., 58:9 (2018), 1395–1403 |
| 57. |
A. V. Gasnikov, Yu. E. Nesterov, “Universal method for stochastic composite optimization problems”, Comput. Math. Math. Phys., 58:1 (2018), 48–64 |
| 58. |
A. V. Gasnikov, A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 10:3 (2018), 279–283 |
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| 2017 |
| 59. |
A. V. Gasnikov, E. A. Krymova, A. A. Lagunovskaya, I. N. Usmanova, F. A. Fedorenko, “Stochastic online optimization. Single-point and multi-point non-linear multi-armed bandits. Convex and strongly-convex case”, Autom. Remote Control, 78:2 (2017), 224–234 |
| 60. |
A. Gasnikov, E. Gasnikova, P. Dvurechensky, A. Mohammed, E. Chernousova, “About the power law of the PageRank vector distribution. Part 1. Numerical methods for finding the PageRank vector”, Num. Anal. Appl., 10:4 (2017), 299–312 |
| 61. |
A. S. Anikin, A. V. Gasnikov, P. E. Dvurechensky, A. I. Tyurin, A. V. Chernov, “Dual approaches to the minimization of strongly convex functionals with a simple structure under affine constraints”, Comput. Math. Math. Phys., 57:8 (2017), 1262–1276 |
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| 2016 |
| 62. |
A. V. Gasnikov, A. A. Lagunovskaya, I. N. Usmanova, F. A. Fedorenko, “Gradient-free proximal methods with inexact oracle for convex stochastic nonsmooth optimization problems on the simplex”, Autom. Remote Control, 77:11 (2016), 2018–2034 |
| 63. |
A. V. Gasnikov, P. E. Dvurechensky, Yu. V. Dorn, Yu. V. Maksimov, “Numerical methods for the problem of traffic flow equilibrium in the Beckmann and the stable dynamic models”, Matem. Mod., 28:10 (2016), 40–64 |
| 64. |
A. V. Gasnikov, E. V. Gasnikova, M. A. Mendel, K. V. Chepurchenko, “Evolutionary interpretations of entropy model for correspondence matrix calculation”, Matem. Mod., 28:4 (2016), 111–124 |
| 65. |
A. V. Gasnikov, E. V. Gasnikova, Yu. E. Nesterov, A. V. Chernov, “Efficient numerical methods for entropy-linear programming problems”, Comput. Math. Math. Phys., 56:4 (2016), 514–524 |
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| 2015 |
| 66. |
A. V. Gasnikov, “Reduction of searching competetive equillibrium to the minimax problem in application to different network problems”, Matem. Mod., 27:12 (2015), 121–136 |
| 67. |
A. V. Gasnikov, Yu. E. Nesterov, V. G. Spokoiny, “On the efficiency of a randomized mirror descent algorithm in online optimization problems”, Comput. Math. Math. Phys., 55:4 (2015), 580–596 |
| 68. |
A. V. Gasnikov, D. Yu. Dmitriev, “On efficient randomized algorithms for finding the PageRank vector”, Comput. Math. Math. Phys., 55:3 (2015), 349–365 |
|
| 2014 |
| 69. |
A. Gasnikov, Yu. Dorn, Yu. Nesterov, S. Shpirko, “On the three-stage version of stable dynamic model”, Matem. Mod., 26:6 (2014), 34–70 |
|
| 2013 |
| 70. |
A. V. Gasnikov, E. V. Gasnikova, “On Entropy-Type Functionals Arising in Stochastic Chemical Kinetics Related to the Concentration of the Invariant Measure and Playing the Role of Lyapunov Functions in the Dynamics of Quasiaverages”, Math. Notes, 94:6 (2013), 854–861 |
| 71. |
A. Gasnikov, Yu. Dorn, E. Nurminskii, N. Shamrai, Kvant, 2013, no. 1, 13–18 |
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| 2012 |
| 72. |
A. V. Gasnikov, “On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation”, Comput. Math. Math. Phys., 52:6 (2012), 937–939 |
| 73. |
A. Gasnikov, E. Chernousova, T. Nagapetyan, O. Fed'ko, Mat. Pros., 16, MCCME, Moscow, 2012, 181–213 |
|
| 2011 |
| 74. |
I. I. Morozov, A. V. Gasnikov, V. N. Tarasov, Ya. A. Kholodov, A. S. Kholodov, “Numerical study of traffic flows by the hydrodynamic models”, Computer Research and Modeling, 3:4 (2011), 389–412 |
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| 2009 |
| 75. |
A. V. Gasnikov, “Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity”, Izv. Math., 73:6 (2009), 1111–1148 |
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| 2008 |
| 76. |
A. V. Gasnikov, “Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves”, Comput. Math. Math. Phys., 48:8 (2008), 1376–1405 |
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