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 Author ID: nemirovski.arkadi-s Published as: Nemirovski, A.; Nemirovski, A. S.; Nemirovski, Arkadi; Nemirovski, Arkadi S.; Nemirovski, Arkadii; Nemirovskii, A.; Nemirovskii, A. S.; Nemirovskii, Arkadii; Nemirovskij, A.; Nemirovskij, A. S.; Nemirovskij, Arkadij; Nemirovskiĭ, A. S.; Nemirovsky, A.; Nemirovsky, A. S. Homepage: https://www.isye.gatech.edu/users/arkadi-nemirovski External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 174 Publications since 1961, including 7 Books
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#### Co-Authors

 37 single-authored 30 Ben-Tal, Aharon 30 Juditsky, Anatoli B. 13 Yudin, David Borisovich 12 Nesterov, Yurii 9 Polyak, Boris Teodorovich 5 Goryashko, A. P. 5 Kılınç Karzan, Fatma 5 Shapiro, Alexander 5 Tsybakov, Alexandre B. 4 Goldenshluger, Alexander 4 Juditsky, Anatoliĭ B. 3 Guigues, Vincent 3 Lan, Guanghui 3 Roos, Cornelis 3 Zowe, Jochem 2 Cox, Bruce C. 2 Eldar, Yonina Chana 2 Gol’shtejn, E. G. 2 Khas’minskiĭ, Rafail Zalmanovich 2 Kočvara, Michal 2 Levner, Eugene V. 2 Margalit, Tamar 2 Ochan, M. Yu. 2 Redzuani, R. 2 Rothblum, Uriel George 2 Semenov, S. M. 2 Spokoiny, Vladimir G. 2 Tsypkin, Yakov Zalmanovich 2 Tunçel, Levent 1 Baes, Michel 1 Barb, Florin Dan 1 Bernard, Pierre 1 Bhadra, Sahely 1 Bhattacharyya, Chiranjib 1 Boyd, Stephen Poythress 1 Bürgisser, Michael 1 Cao, Yang 1 Diederichs, Elmar 1 El Ghaoui, Laurent M. 1 Émery, Michel 1 Feuer, Arie 1 Gahinet, Pascal M. 1 Gal, Shmuel 1 Ghaoui, Laurent El 1 Gol’shtein, Evgenij G. 1 Gordon, Alexander Ya. 1 Guslitzer, E. 1 Guzmán, Cristóbal 1 Harchaoui, Zaid 1 He, Niao 1 Ibragimov, Il’dar Abdullovich 1 Jarre, Florian 1 Kotsalis, Georgios 1 Kovara, M. 1 Landsberger, Michael 1 Lemaréchal, Claude 1 Lepskiĭ, Oleg Vital’evich 1 Lu, Zhaosong 1 Monteiro, Renato D. C. 1 Nazin, Alexander V. 1 Onn, Shmuel 1 Regev, Oded 1 Scheinberg, Katya 1 Shaviv, Guy E. 1 Shil’man, Semen Vol’fovich 1 Shilov, Georgiĭ Evgen’evich 1 Sokolov, Nikolai A. 1 Tauvel, Claire 1 Terlaky, Tamás 1 Todd, Michael J. 1 Umurhan, Orkan M. 1 Voiculescu, Dan-Virgil 1 Volkonskij, V. A. 1 Xie, Yao
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#### Serials

 23 Mathematical Programming. Series A. Series B 11 SIAM Journal on Optimization 10 Automation and Remote Control 7 Mathematics of Operations Research 7 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach 6 Engineering Cybernetics 5 The Annals of Statistics 5 Electronic Journal of Statistics 4 Problems of Information Transmission 4 Journal of Complexity 3 IEEE Transactions on Information Theory 3 Èkonomika i Matematicheskie Metody 3 Functional Analysis and its Applications 3 Soviet Mathematics. Doklady 3 Soviet Journal of Computer and Systems Sciences 3 Problemy Peredachi Informatsii 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Moscow University Mathematics Bulletin 2 Theory of Probability and its Applications 2 SIAM Journal on Control and Optimization 2 IEEE Transactions on Signal Processing 2 European Journal of Operational Research 2 Linear Algebra and its Applications 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Applied and Computational Harmonic Analysis 2 Bernoulli 2 Optimization Methods & Software 2 Foundations of Computational Mathematics 2 Acta Numerica 1 Astronomy and Astrophysics 1 Applied Mathematics and Computation 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Journal of Optimization Theory and Applications 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Operations Research Letters 1 Probability Theory and Related Fields 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Machine Learning 1 IMRN. International Mathematics Research Notices 1 Games and Economic Behavior 1 Mathematics of the USSR, Sbornik 1 SIAM Review 1 Soviet Physics. Doklady 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Optimization and Applications 1 Mathematical Methods of Statistics 1 European Journal of Control 1 Optimization and Engineering 1 Journal of Machine Learning Research (JMLR) 1 Radiotekhnika 1 Lecture Notes in Mathematics 1 Problemy Sluchajnogo Poiska 1 SIAM Studies in Applied Mathematics 1 MPS/SIAM Series on Optimization 1 Stochastic Systems 1 Mathematical Statistics and Learning 1 Princeton Series in Applied Mathematics
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#### Fields

 110 Operations research, mathematical programming (90-XX) 39 Statistics (62-XX) 39 Numerical analysis (65-XX) 21 Systems theory; control (93-XX) 18 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Operator theory (47-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

130 Publications have been cited 5,229 times in 3,411 Documents Cited by Year
Interior-point polynomial algorithms in convex programming. Zbl 0824.90112
Nesterov, Y.; Nemirovskii, A.
1994
Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032
2001
Robust convex optimization. Zbl 0977.90052
Ben-Tal, A.; Nemirovski, A.
1998
Robust optimization. Zbl 1221.90001
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2009
Robust solutions of uncertain linear programs. Zbl 0941.90053
Ben-Tal, A.; Nemirovski, A.
1999
Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025
2000
Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037
Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A.
2004
Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109
Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A.
2009
Robust optimization-methodology and applications. Zbl 1007.90047
2002
Convex approximations of chance constrained programs. Zbl 1126.90056
2006
New variants of bundle methods. Zbl 0857.90102
Lemaréchal, Claude; Nemirovskij, Arkadij; Nesterov, Yurij
1995
Prox-method with rate of convergence $$O(1/t)$$ for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems. Zbl 1106.90059
2004
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
Topics in non-parametric statistics. Zbl 0998.62033
2000
On polyhedral approximations of the second-order cone. Zbl 1082.90133
2001
Several NP-hard problems arising in robust stability analysis. Zbl 0792.93100
Nemirovskii, A.
1993
Problem complexity and method efficiency in optimization. Transl. from the Russian by E. R. Dawson. Zbl 0501.90062
Nemirovskij, A. S.; Yudin, D. B.
1983
Ben-Tal, A.; Nemirovski, A.; Roos, C.
2002
Selected topics in robust convex optimization. Zbl 1135.90046
2008
Functional aggregation for nonparametric regression. Zbl 1105.62338
2000
On complexity of stochastic programming problems. Zbl 1115.90041
2005
On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034
2002
Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042
Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi
2006
Scenario approximations of chance constraints. Zbl 1181.90248
2006
Solving variational inequalities with stochastic mirror-prox algorithm. Zbl 1291.49006
Juditsky, Anatoli B.; Nemirovski, Arkadi S.; Tauvel, Claire
2011
On maximization of quadratic form over intersection of ellipsoids with common center. Zbl 0944.90056
Nemirovski, A.; Roos, C.; Terlaky, T.
1999
Robust modeling of multi-stage portfolio problems. Zbl 1016.91055
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2000
Validation analysis of mirror descent stochastic approximation method. Zbl 1273.90154
Lan, Guanghui; Nemirovski, Arkadi; Shapiro, Alexander
2012
On spatially adaptive estimation of nonparametric regression. Zbl 0892.62018
Goldenshluger, A.; Nemirovski, A.
1997
Conditional gradient algorithms for norm-regularized smooth convex optimization. Zbl 1336.90069
Harchaoui, Zaid; Juditsky, Anatoli; Nemirovski, Arkadi
2015
Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079
2005
Informational complexity and effective methods for the solution of convex extremal problems. Zbl 0329.90054
Yudin, D. B.; Nemirovskiĭ, A. S.
1976
On verifiable sufficient conditions for sparse signal recovery via $$\ell_{1}$$ minimization. Zbl 1211.90333
2011
Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388
Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem
2000
Regularizing properties of the conjugate gradient method for ill-posed problems. Zbl 0615.65056
Nemirovskij, A. S.
1986
The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2001
On polynomial approximation of functions on Hilbert space. Zbl 0288.41023
Nemirovskii, A. S.; Semenov, S. M.
1974
Acceleration and parallelization of the path-following interior point method for a linearly constrained convex quadratic problem. Zbl 0754.90042
Nesterov, Y.; Nemirovsky, A.
1991
Advances in convex optimization: conic programming. Zbl 1135.90379
2007
On estimation of the $$L_r$$ norm of a regression function. Zbl 0921.62103
Lepski, O.; Nemirovski, A.; Spokoiny, V.
1999
On nonparametric tests of positivity/monotonicity/convexity. Zbl 1012.62048
2002
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
2008
Sums of random symmetric matrices and quadratic optimization under orthogonality constraints. Zbl 1156.90012
2007
Accuracy guarantees for $$\ell_1$$-recovery. Zbl 1365.94077
2011
Accuracy certificates for computational problems with convex structure. Zbl 1216.90067
Nemirovski, Arkadi; Onn, Shmuel; Rothblum, Uriel G.
2010
On safe tractable approximations of chance constraints. Zbl 1253.90185
2012
Some problems on nonparametric estimation in Gaussian white noise. Zbl 0623.62028
Ibragimov, I. A.; Nemirovskij, A. S.; Khas’minskij, R. Z.
1987
An interior-point method for generalized linear-fractional programming. Zbl 0857.90124
Nesterov, Yu. E.; Nemirovskij, A. S.
1995
On parallel complexity of nonsmooth convex optimization. Zbl 0820.68058
Nemirovski, A.
1994
Potential reduction polynomial time method for truss topology design. Zbl 0821.90137
1994
Rate of convergence of nonparametric estimates of maximum-likelihood type. Zbl 0616.62048
Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B.
1985
Nonparametric estimation of smooth regression functions. Zbl 0604.62033
Nemirovskij, A. S.
1985
On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140
2009
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051
Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J.
1999
Information-based complexity of linear operator equations. Zbl 0758.65044
Nemirovskij, A. S.
1992
Dual subgradient algorithms for large-scale nonsmooth learning problems. Zbl 1305.65149
Cox, Bruce; Juditsky, Anatoli; Nemirovski, Arkadi
2014
Extended matrix cube theorems with applications to $$\mu$$-theory in control. Zbl 1082.90083
Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis
2003
On lower complexity bounds for large-scale smooth convex optimization. Zbl 1304.65155
2015
Verifiable conditions of $$\ell_{1}$$-recovery for sparse signals with sign restrictions. Zbl 1211.90332
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2011
Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2005
Über die polynomiale Approximation von Funktionen im Hilbertraum. Zbl 0286.41025
Nemirovskii, A. S.; Semenov, S. M.
1973
On first-order algorithms for $$\ell_{1}/$$nuclear norm minimization. Zbl 1293.65089
2013
On sparse representation in pairs of bases. Zbl 1063.42018
2003
Robustness. Zbl 0957.90525
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2000
Multi-parameter surfaces of analytic centers and long-step surface-following interior point methods. Zbl 0977.90081
Nesterov, Yu.; Nemirovski, A.
1998
The projective method for solving linear matrix inequalities. Zbl 0890.90142
1997
Nonparametric estimation by convex programming. Zbl 1173.62024
Juditsky, Anatoli B.; Nemirovski, Arkadi S.
2009
Lectures on probability theory and statistics. École d’Été de Probabilités de Saint-Flour XXVIII - 1998. Summer school, Saint-Flour, France, August 17 – September 3, 1998. Zbl 0941.00026
Emery, Michel; Nemirovski, Arkadi; Voiculescu, Dan; Bernard, Pierre (ed.)
2000
Extension of Karmarkar’s algorithm onto convex quadratically constrained quadratic problems. Zbl 0853.90092
1996
Non-asymptotic confidence bounds for the optimal value of a stochastic program. Zbl 1386.90091
Guigues, Vincent; Juditsky, Anatoli; Nemirovski, Arkadi
2017
Participation in auctions. Zbl 1155.91365
Gal, Shmuel; Landsberger, Michael; Nemirovski, Arkadi
2007
Large-scale semidefinite programming via a saddle point mirror-prox algorithm. Zbl 1148.90009
Lu, Zhaosong; Nemirovski, Arkadi; Monteiro, Renato D. C.
2007
Structural design. Zbl 0957.90529
2000
On complexity of matrix scaling. Zbl 0952.15005
1999
Necessary conditions for the stability of polynomials and their use. Zbl 0854.93110
Nemirovskij, A. S.; Polyak, B. T.
1994
On optimality of Krylov’s information when solving linear operator equations. Zbl 0757.47010
Nemirovskij, A. S.
1991
Iterative methods for solving linear ill-posed problems under precise information. II. Zbl 0825.65041
Nemirovskij, A. S.; Polyak, B. T.
1984
A randomized mirror-prox method for solving structured large-scale matrix saddle-point problems. Zbl 1295.90039
Baes, Michel; Bürgisser, Michael; Nemirovski, Arkadi
2013
Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2004
On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588
2003
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061
Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J.
2000
Optimal methods of smooth convex minimization. Zbl 0591.90072
Nemirovskij, A. S.; Nesterov, Yu. E.
1985
Iterative methods for solving linear ill-posed problems under precise information. I. Zbl 0825.65040
Nemirovskij, A. S.; Polyak, B. T.
1984
Hypothesis testing by convex optimization. Zbl 1327.62287
Goldenshluger, Alexander; Juditsky, Anatoli; Nemirovski, Arkadi
2015
Mirror Prox algorithm for multi-term composite minimization and semi-separable problems. Zbl 1321.65105
He, Niao; Juditsky, Anatoli; Nemirovski, Arkadi
2015
Randomized first order algorithms with applications to $$\ell _{1}$$-minimization. Zbl 1282.90128
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2013
Nonparametric denoising of signals with unknown local structure. I: Oracle inequalities. Zbl 1169.94008
2009
“Cone-free” primal-dual path-following and potential-reduction polynomial time interior-point methods. Zbl 1079.90161
2005
Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020
Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi
2003
Near-optimality of linear recovery in Gaussian observation scheme under $$\| \cdot \|_{2}^{2}$$-loss. Zbl 1403.62047
2018
Adaptive de-noising of signals satisfying differential inequalities. Zbl 0879.94006
1997
A network flow algorithm for just-in-time project scheduling. Zbl 0815.90094
Levner, E. V.; Nemirovsky, A. S.
1994
Signal processing by the non-parametric maximum-likelihood method. Zbl 0565.62028
Nemirovskij, A. S.; Polyak, B. T.; Tsybakov, A. B.
1984
Problem complexity and method efficiency in optimization. (Slozhnost’ zadach i ehffektivnost’ metodov optimizatsii). Zbl 0501.90061
Nemirovskij, A. S.; Yudin, D. B.
1979
Estimation of the informational complexity of mathematical programming problems. Zbl 0324.90077
Yudin, D. B.; Nemirovskiĭ, A. S.
1976
Decomposition techniques for bilinear saddle point problems and variational inequalities with affine monotone operators. Zbl 1398.90098
Cox, Bruce; Juditsky, Anatoli; Nemirovski, Arkadi
2017
Solving variational inequalities with monotone operators on domains given by linear minimization oracles. Zbl 1333.65074
2016
Finding the stationary states of Markov chains by iterative methods. Zbl 1338.65019
2015
Robust energy cost optimization of water distribution system with uncertain demand. Zbl 1308.90006
Goryashko, A. P.; Nemirovski, A. S.
2014
On a unified view of nullspace-type conditions for recoveries associated with general sparsity structures. Zbl 1332.94044
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2014
On polyhedral estimation of signals via indirect observations. Zbl 1436.62718
2020
Algorithms of robust stochastic optimization based on mirror descent method. Zbl 1431.93064
Nazin, A. V.; Nemirovsky, A. S.; Tsybakov, Alexandre B.; Juditsky, Anatoliĭ B.
2019
Near-optimality of linear recovery in Gaussian observation scheme under $$\| \cdot \|_{2}^{2}$$-loss. Zbl 1403.62047
2018
Near-optimality of linear recovery from indirect observations. Zbl 1416.62214
2018
Change detection via affine and quadratic detectors. Zbl 1390.62169
Cao, Yang; Nemirovski, Arkadi; Xie, Yao; Guigues, Vincent; Juditsky, Anatoli
2018
Non-asymptotic confidence bounds for the optimal value of a stochastic program. Zbl 1386.90091
Guigues, Vincent; Juditsky, Anatoli; Nemirovski, Arkadi
2017
Decomposition techniques for bilinear saddle point problems and variational inequalities with affine monotone operators. Zbl 1398.90098
Cox, Bruce; Juditsky, Anatoli; Nemirovski, Arkadi
2017
Absence of eigenvalues for quasi-periodic lattice operators with Liouville frequencies. Zbl 1405.58013
2017
Solving variational inequalities with monotone operators on domains given by linear minimization oracles. Zbl 1333.65074
2016
Hypothesis testing via affine detectors. Zbl 1345.62077
2016
Conditional gradient algorithms for norm-regularized smooth convex optimization. Zbl 1336.90069
Harchaoui, Zaid; Juditsky, Anatoli; Nemirovski, Arkadi
2015
On lower complexity bounds for large-scale smooth convex optimization. Zbl 1304.65155
2015
Hypothesis testing by convex optimization. Zbl 1327.62287
Goldenshluger, Alexander; Juditsky, Anatoli; Nemirovski, Arkadi
2015
Mirror Prox algorithm for multi-term composite minimization and semi-separable problems. Zbl 1321.65105
He, Niao; Juditsky, Anatoli; Nemirovski, Arkadi
2015
Finding the stationary states of Markov chains by iterative methods. Zbl 1338.65019
2015
On sequential hypotheses testing via convex optimization. Zbl 1323.62081
Juditsky, A. B.; Nemirovski, A. S.
2015
On detecting harmonic oscillations. Zbl 1385.60051
2015
On solving large-scale polynomial convex problems by randomized first-order algorithms. Zbl 1338.90249
2015
Dual subgradient algorithms for large-scale nonsmooth learning problems. Zbl 1305.65149
Cox, Bruce; Juditsky, Anatoli; Nemirovski, Arkadi
2014
Robust energy cost optimization of water distribution system with uncertain demand. Zbl 1308.90006
Goryashko, A. P.; Nemirovski, A. S.
2014
On a unified view of nullspace-type conditions for recoveries associated with general sparsity structures. Zbl 1332.94044
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2014
On first-order algorithms for $$\ell_{1}/$$nuclear norm minimization. Zbl 1293.65089
2013
A randomized mirror-prox method for solving structured large-scale matrix saddle-point problems. Zbl 1295.90039
Baes, Michel; Bürgisser, Michael; Nemirovski, Arkadi
2013
Randomized first order algorithms with applications to $$\ell _{1}$$-minimization. Zbl 1282.90128
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2013
Sparse non Gaussian component analysis by semidefinite programming. Zbl 1273.68297
2013
Validation analysis of mirror descent stochastic approximation method. Zbl 1273.90154
Lan, Guanghui; Nemirovski, Arkadi; Shapiro, Alexander
2012
On safe tractable approximations of chance constraints. Zbl 1253.90185
2012
Accuracy guaranties for $$\ell_{1}$$ recovery of block-sparse signals. Zbl 1296.62088
Juditsky, Anatoli; Karzan, Fatma Kılınç; Nemirovski, Arkadi; Polyak, Boris
2012
Efficient methods for robust classification under uncertainty in kernel matrices. Zbl 1433.68326
2012
Solving variational inequalities with stochastic mirror-prox algorithm. Zbl 1291.49006
Juditsky, Anatoli B.; Nemirovski, Arkadi S.; Tauvel, Claire
2011
On verifiable sufficient conditions for sparse signal recovery via $$\ell_{1}$$ minimization. Zbl 1211.90333
2011
Accuracy guarantees for $$\ell_1$$-recovery. Zbl 1365.94077
2011
Verifiable conditions of $$\ell_{1}$$-recovery for sparse signals with sign restrictions. Zbl 1211.90332
Juditsky, Anatoli; Kılınç Karzan, Fatma; Nemirovski, Arkadi
2011
On low rank matrix approximations with applications to synthesis problem in compressed sensing. Zbl 1231.90404
Juditsky, Anatoli; Karzan, Fatma Kilinç; Nemirovski, Arkadi
2011
Accuracy certificates for computational problems with convex structure. Zbl 1216.90067
Nemirovski, Arkadi; Onn, Shmuel; Rothblum, Uriel G.
2010
Nonparametric denoising of signals of unknown local structure. II: Nonparametric function recovery. Zbl 1197.94067
2010
Self-concordant barriers for convex approximations of structured convex sets. Zbl 1225.90100
2010
Robust optimization. Zbl 1221.90001
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2009
Robust stochastic approximation approach to stochastic programming. Zbl 1189.90109
Nemirovski, A.; Juditsky, A.; Lan, G.; Shapiro, A.
2009
On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140
2009
Nonparametric estimation by convex programming. Zbl 1173.62024
Juditsky, Anatoli B.; Nemirovski, Arkadi S.
2009
Nonparametric denoising of signals with unknown local structure. I: Oracle inequalities. Zbl 1169.94008
2009
Selected topics in robust convex optimization. Zbl 1135.90046
2008
Interior-point methods for optimization. Zbl 1160.65027
Nemirovski, Arkadi S.; Todd, Michael J.
2008
Primal central paths and Riemannian distances for convex sets. Zbl 1179.52013
Nesterov, Y.; Nemirovski, A.
2008
Advances in convex optimization: conic programming. Zbl 1135.90379
2007
Sums of random symmetric matrices and quadratic optimization under orthogonality constraints. Zbl 1156.90012
2007
Participation in auctions. Zbl 1155.91365
Gal, Shmuel; Landsberger, Michael; Nemirovski, Arkadi
2007
Large-scale semidefinite programming via a saddle point mirror-prox algorithm. Zbl 1148.90009
Lu, Zhaosong; Nemirovski, Arkadi; Monteiro, Renato D. C.
2007
Convex approximations of chance constrained programs. Zbl 1126.90056
2006
Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042
Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi
2006
Scenario approximations of chance constraints. Zbl 1181.90248
2006
Global axisymmetric dynamics of thin viscous accretion disks. Zbl 1179.85016
Umurhan, O. M.; Nemirovsky, A.; Regev, O.; Shaviv, G.
2006
On complexity of stochastic programming problems. Zbl 1115.90041
2005
Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079
2005
Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2005
“Cone-free” primal-dual path-following and potential-reduction polynomial time interior-point methods. Zbl 1079.90161
2005
Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037
Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A.
2004
Prox-method with rate of convergence $$O(1/t)$$ for variational inequalities with Lipschitz continuous monotone operators and smooth convex-concave saddle point problems. Zbl 1106.90059
2004
Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592
Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi
2004
Extended matrix cube theorems with applications to $$\mu$$-theory in control. Zbl 1082.90083
Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis
2003
On sparse representation in pairs of bases. Zbl 1063.42018
2003
On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588
2003
Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020
Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi
2003
Robust optimization-methodology and applications. Zbl 1007.90047
2002
Ben-Tal, A.; Nemirovski, A.; Roos, C.
2002
On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034
2002
On nonparametric tests of positivity/monotonicity/convexity. Zbl 1012.62048
2002
Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032
2001
On polyhedral approximations of the second-order cone. Zbl 1082.90133
2001
The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2001
Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025
2000
Topics in non-parametric statistics. Zbl 0998.62033
2000
Functional aggregation for nonparametric regression. Zbl 1105.62338
2000
Robust modeling of multi-stage portfolio problems. Zbl 1016.91055
Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi
2000
Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388
Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem
2000
Robustness. Zbl 0957.90525
Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi
2000
Lectures on probability theory and statistics. École d’Été de Probabilités de Saint-Flour XXVIII - 1998. Summer school, Saint-Flour, France, August 17 – September 3, 1998. Zbl 0941.00026
Emery, Michel; Nemirovski, Arkadi; Voiculescu, Dan; Bernard, Pierre (ed.)
2000
Structural design. Zbl 0957.90529
2000
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061
Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J.
2000
Robust solutions of uncertain linear programs. Zbl 0941.90053
Ben-Tal, A.; Nemirovski, A.
1999
On maximization of quadratic form over intersection of ellipsoids with common center. Zbl 0944.90056
Nemirovski, A.; Roos, C.; Terlaky, T.
1999
On estimation of the $$L_r$$ norm of a regression function. Zbl 0921.62103
Lepski, O.; Nemirovski, A.; Spokoiny, V.
1999
Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051
Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J.
1999
On complexity of matrix scaling. Zbl 0952.15005
1999
On self-concordant convex-concave functions. Zbl 0972.90054
1999
Robust convex optimization. Zbl 0977.90052
Ben-Tal, A.; Nemirovski, A.
1998
Multi-parameter surfaces of analytic centers and long-step surface-following interior point methods. Zbl 0977.90081
Nesterov, Yu.; Nemirovski, A.
1998
Robust truss topology design via semidefinite programming. Zbl 0899.90133
Ben-Tal, A.; Nemirovski, A.
1997
On spatially adaptive estimation of nonparametric regression. Zbl 0892.62018
Goldenshluger, A.; Nemirovski, A.
1997
The projective method for solving linear matrix inequalities. Zbl 0890.90142
1997
Adaptive de-noising of signals satisfying differential inequalities. Zbl 0879.94006
1997
The long-step method of analytic centers for fractional problems. Zbl 0890.90168
Nemirovski, A.
1997
Extension of Karmarkar’s algorithm onto convex quadratically constrained quadratic problems. Zbl 0853.90092
1996
Polynomial time methods in convex programming. Zbl 0860.90097
1996
On polynomiality of the method of analytic centers for fractional problems. Zbl 0853.90107
Nemirovskij, A.
1996
New variants of bundle methods. Zbl 0857.90102
Lemaréchal, Claude; Nemirovskij, Arkadij; Nesterov, Yurij
1995
An interior-point method for generalized linear-fractional programming. Zbl 0857.90124
Nesterov, Yu. E.; Nemirovskij, A. S.
1995
The level method, its generalizations and applications. Zbl 0853.90091
Gol’shteĭn, E. G.; Nemirovskiĭ, A. S.; Nesterov, Yu. E.
1995
Interior-point polynomial algorithms in convex programming. Zbl 0824.90112
Nesterov, Y.; Nemirovskii, A.
1994
...and 30 more Documents
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#### Cited by 4,845 Authors

 53 Nemirovski, Arkadi S. 41 Jeyakumar, Vaithilingam 30 Juditsky, Anatoli B. 30 Li, Guoyin 29 Nesterov, Yurii 28 Bertsimas, Dimitris John 24 Goerigk, Marc 23 Boyd, Stephen Poythress 23 Kuhn, Daniel 22 Ben-Tal, Aharon 22 Pinar, Mustafa Çelebi 21 Lan, Guanghui 21 Polyak, Boris Teodorovich 19 Terlaky, Tamás 19 Tsybakov, Alexandre B. 18 Gasnikov, Alexander V. 17 den Hertog, Dick 17 Kanno, Yoshihiro 17 Poss, Michael 17 Schöbel, Anita 16 Zhang, Shuzhong 15 Atamtürk, Alper 14 Henrion, Didier 14 Rustem, Berc 14 Sun, Jie 14 Van Ackooij, Wim 14 Wiesemann, Wolfram 13 Beck, Amir 13 Lee, Gue Myung 13 Rigollet, Philippe 13 Salahi, Maziar 13 Sim, Melvyn 12 Chuong, Thai Doan 12 Goberna, Miguel Angel 12 Hladík, Milan 12 Li, Duan 12 Roos, Cornelis 12 Shapiro, Alexander 11 de Oliveira, Welington Luis 11 Glineur, François 11 Guigues, Vincent 11 Monteiro, Renato D. C. 11 Nie, Jiawang 11 Parrilo, Pablo A. 11 Shanbhag, Uday V. 11 Teo, Kok Lay 11 Tran Dinh Quoc 11 Xu, Huifu 11 Ye, Yinyu 11 Zhang, Liwei 10 Bach, Francis R. 10 Chassein, André B. 10 Fang, Shu-Cherng 10 Jarre, Florian 10 Kılınç Karzan, Fatma 10 Lecué, Guillaume 10 Necoara, Ion 10 Nedić, Angelia 10 Ouorou, Adam 10 Pang, Liping 10 Pardalos, Panos M. 10 Todd, Michael J. 10 Tunçel, Levent 10 Vielma, Juan Pablo 10 Xiu, Naihua 10 Zheng, Xiaojin 9 Calafiore, Giuseppe Carlo 9 Ferreira, Orizon Pereira 9 Freund, Robert M. 9 Goldfarb, Donald 9 Goulart, Paul J. 9 Helton, John William 9 Lee, Jae Hyoung 9 Lisser, Abdel 9 López-Cerdá, Marco Antonio 9 Ma, Shiqian 9 Nesterov, Yu. V. 9 Sun, Xiaoling 9 Teboulle, Marc 9 Tempo, Roberto 9 Vasylyshyn, Taras V. 9 Vial, Jean-Philippe 9 Weber, Gerhard-Wilhelm 8 Ahmed, Shabbir 8 Barvinok, Alexander I. 8 Campi, Marco Claudio 8 Dabbene, Fabrizio 8 d’Aspremont, Alexandre 8 De Schutter, Bart 8 Duchi, John C. 8 Faybusovich, Leonid E. 8 Georghiou, Angelos 8 Klep, Igor 8 Köbis, Elisabeth 8 Krokhmal, Pavlo A. 8 Kurtz, Jannis 8 Lasserre, Jean-Bernard 8 Lepskiĭ, Oleg Vital’evich 8 Song, Yongjia 8 Stolpe, Mathias ...and 4,745 more Authors
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#### Cited in 382 Serials

 306 Mathematical Programming. Series A. Series B 207 European Journal of Operational Research 133 Journal of Optimization Theory and Applications 132 SIAM Journal on Optimization 104 Computational Optimization and Applications 90 Journal of Global Optimization 85 Automatica 78 Operations Research Letters 77 The Annals of Statistics 75 Optimization Letters 64 Optimization Methods & Software 63 Optimization 62 Linear Algebra and its Applications 61 Computers & Operations Research 55 Annals of Operations Research 48 Operations Research 42 Optimization and Engineering 36 Automation and Remote Control 35 Systems & Control Letters 34 Journal of Computational and Applied Mathematics 32 Applied Mathematics and Computation 32 Computational Management Science 28 Journal of Complexity 28 Mathematical Methods of Operations Research 26 Discrete Applied Mathematics 24 Computer Methods in Applied Mechanics and Engineering 24 Journal of Machine Learning Research (JMLR) 24 Electronic Journal of Statistics 23 Bernoulli 23 INFORMS Journal on Computing 23 Mathematical Problems in Engineering 22 Mathematics of Operations Research 20 European Journal of Control 20 Journal of Industrial and Management Optimization 19 Applied Mathematical Modelling 18 Mathematical Programming Computation 18 Journal of the Operations Research Society of China 17 Numerical Algorithms 17 Cybernetics and Systems Analysis 17 Structural and Multidisciplinary Optimization 16 Computational Mathematics and Mathematical Physics 16 International Journal of Robust and Nonlinear Control 15 OR Spectrum 15 Discrete Optimization 14 International Journal of Control 14 Theoretical Computer Science 14 Applied Numerical Mathematics 13 Foundations of Computational Mathematics 12 International Journal for Numerical Methods in Engineering 12 EURO Journal on Computational Optimization 11 Journal of the Franklin Institute 11 Journal of Mathematical Analysis and Applications 11 Applied Mathematics and Optimization 11 Journal of Statistical Planning and Inference 11 Journal of Scheduling 10 SIAM Journal on Applied Algebra and Geometry 9 Numerical Functional Analysis and Optimization 9 Asia-Pacific Journal of Operational Research 9 Machine Learning 9 SIAM Review 9 Computational Statistics and Data Analysis 9 SIAM Journal on Scientific Computing 9 Applied and Computational Harmonic Analysis 9 Top 9 Journal of Inequalities and Applications 9 Journal of Combinatorial Optimization 9 RAIRO. Operations Research 9 Journal of Applied Mathematics 9 4OR 9 Networks and Spatial Economics 9 Set-Valued and Variational Analysis 9 Numerical Algebra, Control and Optimization 8 Journal of Computational Physics 8 Statistics & Probability Letters 8 Probability Theory and Related Fields 8 Discrete & Computational Geometry 8 SIAM Journal on Matrix Analysis and Applications 8 Japan Journal of Industrial and Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 CEJOR. Central European Journal of Operations Research 7 Computers & Mathematics with Applications 7 Information Sciences 7 Networks 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 International Transactions in Operational Research 7 Discrete Dynamics in Nature and Society 7 Quantitative Finance 7 Carpathian Mathematical Publications 6 Inverse Problems 6 Mathematics of Computation 6 Journal of Multivariate Analysis 6 Kybernetika 6 Naval Research Logistics 6 Journal of Symbolic Computation 6 Computational Mechanics 6 Journal of Scientific Computing 6 Mathematical Methods of Statistics 6 Journal of Mathematical Sciences (New York) 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations ...and 282 more Serials
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#### Cited in 54 Fields

 2,424 Operations research, mathematical programming (90-XX) 551 Numerical analysis (65-XX) 377 Statistics (62-XX) 328 Systems theory; control (93-XX) 323 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 294 Computer science (68-XX) 270 Calculus of variations and optimal control; optimization (49-XX) 138 Linear and multilinear algebra; matrix theory (15-XX) 108 Probability theory and stochastic processes (60-XX) 99 Mechanics of deformable solids (74-XX) 86 Convex and discrete geometry (52-XX) 81 Information and communication theory, circuits (94-XX) 76 Operator theory (47-XX) 68 Functional analysis (46-XX) 41 Combinatorics (05-XX) 38 Algebraic geometry (14-XX) 35 Biology and other natural sciences (92-XX) 31 Partial differential equations (35-XX) 26 Approximations and expansions (41-XX) 24 Ordinary differential equations (34-XX) 21 Quantum theory (81-XX) 17 Real functions (26-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Fluid mechanics (76-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Differential geometry (53-XX) 9 Commutative algebra (13-XX) 8 Number theory (11-XX) 8 Nonassociative rings and algebras (17-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of particles and systems (70-XX) 8 Geophysics (86-XX) 7 Field theory and polynomials (12-XX) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 5 Measure and integration (28-XX) 5 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Geometry (51-XX) 4 Algebraic topology (55-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Manifolds and cell complexes (57-XX) 3 Optics, electromagnetic theory (78-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX)

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