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Gasnikov Alexander Vladimirovich
(recent publications)

by years

scientific publications

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2026
1.	A. V. Lobanov, A. V. Gasnikov, “Erratum to the article “Survey of modern smooth optimization algorithms with comparison oracle””, Dokl. RAN. Math. Inf. Proc. Upr., 528 (2026), 97
2.	D. V. Belomestny, A. V. Gasnikov, E. L. Gladin, A. A. Naumov, A. S. Rubtsov, Yu. F. Sapronov, D. N. Tiapkin, N. E. Yudin, “Mathematical methods of reinforcement learning”, UMN, 81:4(490) (2026), 3–90 ;
3.	A. I. Avetisyan, N. Yu. Anisimov, L. D. Beklemishev, A. Ya. Belov, A. V. Gasnikov, S. S. Goncharov, Yu. L. Ershov, S. N. Kalmykov, V. V. Kozlov, G. Ya. Krasnikov, Yu. V. Matiyasevich, M. R. Pentus, M. A. Posypkin, A. M. Raigorodskii, I. M. Remorenko, T. A. Rudchenko, S. F. Soprunov, S. V. Tarasov, A. Yu. Uvarov, M. V. Shamolin, A. I. Shafarevich, A. Kh. Shen, “Alexei Lvovich Semenov (on his 75th birthday)”, Russian Math. Surveys, 81:3 (2026), 563–575

2025
4.	A. V. Gasnikov, V. N. Temlyakov, “Some lower bounds for optimal sampling recovery of functions with mixed smoothness”, Sb. Math., 216:11 (2025), 1575–1591
5.	O. S. Savchuk, F. S. Stonyakin, A. A. Vyguzov, M. S. Alkousa, A. V. Gasnikov, “Adaptive primal-dual methods with an inexact oracle for relatively smooth optimization problems and their applications to recovering low-rank matrices”, Comput. Math. Math. Phys., 65:7 (2025), 1605–1627
6.	Russian Math. Surveys, 80:6 (2025), 1067–1102
7.	Nikita Kornilov, Mohammad Alkousa, Eduard Gorbunov, Fedor Stonyakin, Pavel Dvurechensky, Alexander Gasnikov, “Intermediate gradient methods with relative inexactness”, J. Optim. Theory Appl., 207 (2025), 62, 42 pp.	1 ^[x]
8.	A. V. Lobanov, A. V. Gasnikov, “Survey of modern smooth optimization algorithms with comparison oracle”, Dokl. RAN. Math. Inf. Proc. Upr., 526 (2025), 16–23
9.	S. S. Ablaev, F. S. Stonyakin, M. N. Fedotov, M. S. Alkousa, O. S. Savchuk, A. V. Gasnikov, “Study of gradient method with inexact gradient information on some classes of $(L_0, L_1)$-smooth non-convex problems”, Autom. Remote Control, 86:9 (2025), 797–816

2024
10.	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
11.	A. Sadchikov, S. Chezhegov, A. N. Beznosikov, A. V. Gasnikov, “Local SGD for Near-Quadratic Problems: Improving Convergence under Unconstrained Noise Conditions”, Russian Math. Surveys, 79:6 (2024), 1017–1049
12.	A. V. Gasnikov, V. N. Temlyakov, “On greedy approximation in complex Banach spaces”, Russian Math. Surveys, 79:6 (2024), 975–990
13.	Comput. Math. Math. Phys., 64:4 (2024), 739–770
14.	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
15.	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
16.	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
17.	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
18.	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
19.	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
20.	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
21.	N. E. Yudin, A. V. Gasnikov, “Regularization and acceleration of Gauss – Newton method”, Computer Research and Modeling, 16:7 (2024), 1829–1840

2023
22.	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	5 ^[x]
23.	A. V. Gasnikov, “Boris Polyak — path in science. Optimization”, Computer Research and Modeling, 15:2 (2023), 235–243
24.	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
25.	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
26.	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
27.	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
28.	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
29.	A. V. Gasnikov, A. I. Lobanov, “Editor’s note”, Computer Research and Modeling, 15:2 (2023), 229–233
30.	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
31.	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
32.	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
33.	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

2022
34.	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
35.	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
36.	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
37.	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	1 ^[x]
38.	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	1 ^[x]
39.	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
40.	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
41.	A. V. Gasnikov, A. I. Lobanov, “Editor’s note”, Computer Research and Modeling, 14:2 (2022), 209–212

2021
42.	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
43.	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
44.	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
45.	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

2020
46.	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	8 ^[x]
47.	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
48.	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
49.	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

2019
50.	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
51.	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
52.	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
53.	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
54.	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
55.	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
56.	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
57.	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

2018
58.	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
59.	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
60.	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
61.	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
62.	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
63.	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
64.	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
65.	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
66.	A. V. Gasnikov, Yu. E. Nesterov, “Universal method for stochastic composite optimization problems”, Comput. Math. Math. Phys., 58:1 (2018), 48–64
67.	A. V. Gasnikov, A. I. Lobanov, Ya. A. Kholodov, “Editor's note”, Computer Research and Modeling, 10:3 (2018), 279–283

2017
68.	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
69.	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
70.	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

2016
71.	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
72.	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
73.	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
74.	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

2015
75.	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
76.	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
77.	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
78.	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
79.	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
80.	A. Gasnikov, Yu. Dorn, E. Nurminskii, N. Shamrai, Kvant, 2013, no. 1, 13–18

2012
81.	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
82.	A. Gasnikov, E. Chernousova, T. Nagapetyan, O. Fed'ko, Mat. Pros., 16, MCCME, Moscow, 2012, 181–213

2011
83.	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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