Edit Profile (opens in new tab) Ben-Tal, Aharon Compute Distance To: Compute Author ID: ben-tal.aharon Published as: Ben-Tal, Aharon; Ben-Tal, A. Homepage: https://web.iem.technion.ac.il/en/people/userprofile/abental.html Documents Indexed: 122 Publications since 1972, including 4 Books Co-Authors: 63 Co-Authors with 111 Joint Publications 1,490 Co-Co-Authors all top 5 Co-Authors 8 single-authored 30 Nemirovski, Arkadi S. 18 Teboulle, Marc 15 Ben-Israel, Adi 11 Zowe, Jochem 10 Beck, Amir 7 Charnes, Abraham 6 den Hertog, Dick 5 Zlobec, Sanjo 4 Bhattacharyya, Chiranjib 4 Eldar, Yonina Chana 3 Tetruashvili, Luba 2 Barzilai, Jonathan 2 Bendsøe, Martin Philip 2 Bhadra, Sahely 2 Brekelmans, Ruud C. M. 2 Eiger, Gideon 2 Golany, Boaz 2 Hochman, Eithan 2 Kočvara, Michal 2 Margalit, Tamar 2 Nath, Jagarlapudi Saketha 2 Postek, Krzysztof 2 Roos, Cornelis 2 Shtern, Shimrit 2 Vial, Jean-Philippe 1 Abigadol, Noomi 1 Achtziger, Wolfgang 1 Aflalo, Jonathan 1 Bachelis, Boris 1 Barb, Florin Dan 1 Barzilai, A. 1 Bertsimas, Dimitris John 1 Blanc, Johannes Pieter Cornelis 1 Boni, Odellia 1 Borwein, Jonathan Michael 1 Boyd, Stephen Poythress 1 Brown, David B. 1 de Ruiter, Frans J. C. T. 1 El Housni, Omar 1 Gal, Shmuel 1 Gershovitz, Vladimir 1 Gorissen, Bram L. 1 Goryashko, A. P. 1 Goyal, Vineet 1 Guslitzer, E. 1 Guttmann-Beck, Nili 1 Hazan, Elad 1 Jarre, Florian 1 Kanzow, Christian 1 Kerzner, L. 1 Kevrekidis, Ioannis George 1 Koren, Tomer 1 Kovara, M. 1 Mannor, Shie 1 Melamed, Michal 1 Melenberg, Bertrand 1 Melman, Aaron 1 Outrata, Jiří V. 1 Raman, Sankaran 1 Rosinger, Elemer E. 1 Saketha Nath, J. 1 Taylor, John Edward 1 Tind, Jørgen 1 Zibulevsky, Michael 1 Ziemba, William T. all top 5 Serials 14 Mathematical Programming. Series A. Series B 12 SIAM Journal on Optimization 8 Mathematics of Operations Research 6 Operations Research 5 Journal of Optimization Theory and Applications 4 Operations Research Letters 4 SIAM Journal on Matrix Analysis and Applications 3 Applied Mathematics and Optimization 3 SIAM Journal on Control and Optimization 2 Applicable Analysis 2 IEEE Transactions on Information Theory 2 Journal of Mathematical Analysis and Applications 2 Mathematical Programming 2 Optimization 2 Annals of Operations Research 2 IEEE Transactions on Signal Processing 2 Mathematical Methods of Operations Research 2 Optimization and Engineering 2 Journal of Machine Learning Research (JMLR) 2 Computational Management Science 2 Naval Research Logistics Quarterly 1 Econometrica 1 Journal of Applied Probability 1 Journal of Geometry 1 Management Science 1 Mathematical Programming Study 1 SIAM Journal on Numerical Analysis 1 Physica D 1 IMPACT of Computing in Science and Engineering 1 Journal of Global Optimization 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Problems of Control and Information Theory 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Zeitschrift für Operations Research. Serie A: Theorie 1 INFORMS Journal on Computing 1 Mathematical Finance 1 SIAM Journal on Applied Dynamical Systems 1 Methods of Operations Research 1 MPS/SIAM Series on Optimization 1 Princeton Series in Applied Mathematics all top 5 Fields 99 Operations research, mathematical programming (90-XX) 20 Numerical analysis (65-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Mechanics of deformable solids (74-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 8 Statistics (62-XX) 5 Computer science (68-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 4,492 times in 2,714 Documents Cited by ▼ Year ▼ Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032Ben-Tal, Aharon; Nemirovski, Arkadi 513 2001 Robust convex optimization. Zbl 0977.90052Ben-Tal, A.; Nemirovski, A. 475 1998 Robust optimization. Zbl 1221.90001Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi 454 2009 Robust solutions of uncertain linear programs. Zbl 0941.90053Ben-Tal, A.; Nemirovski, A. 341 1999 Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025Ben-Tal, Aharon; Nemirovski, Arkadi 263 2000 Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A. 263 2004 Robust optimization-methodology and applications. Zbl 1007.90047Ben-Tal, Aharon; Nemirovski, Arkadi 219 2002 An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116Ben-Tal, Aharon; Teboulle, Marc 89 2007 A unified theory of first and second order conditions for extremum problems in topological vector spaces. Zbl 0494.49020Ben-Tal, A.; Zowe, J. 84 1982 Robust truss topology design via semidefinite programming. Zbl 0899.90133Ben-Tal, A.; Nemirovski, A. 83 1997 Second-order and related extremality conditions in nonlinear programming. Zbl 0416.90062Ben-Tal, A. 80 1980 On polyhedral approximations of the second-order cone. Zbl 1082.90133Ben-Tal, Aharon; Nemirovski, Arkadi 75 2001 Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Zbl 0488.90059Ben-Tal, A.; Zowe, J. 71 1982 Duality in robust optimization: Primal worst equals dual best. Zbl 1154.90614Beck, Amir; Ben-Tal, Aharon 69 2009 Selected topics in robust convex optimization. Zbl 1135.90046Ben-Tal, Aharon; Nemirovski, Arkadi 59 2008 Hidden convexity in some nonconvex quadratically constrained quadratic programming. Zbl 0851.90087Ben-Tal, Aharon; Teboulle, Marc 59 1996 Robust solutions of uncertain quadratic and conic-quadratic problems. Zbl 1026.90065Ben-Tal, A.; Nemirovski, A.; Roos, C. 58 2002 On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034Ben-Tal, Aharon; Nemirovski, Arkadi 51 2002 Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064Ben-Tal, Aharon; Teboulle, Marc 50 1986 Optimality in nonlinear programming: a feasible directions approach. Zbl 0454.90043Ben-Israel, A.; Ben-Tal, A.; Zlobec, S. 48 1981 Penalty/Barrier multiplier methods for convex programming problems. Zbl 0872.90068Ben-Tal, Aharon; Zibulevsky, Michael 46 1997 Technical note: Directional derivatives in nonsmooth optimization. Zbl 0556.90074Ben-Tal, A.; Zowe, J. 44 1985 Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi 43 2006 Global minimization by reducing the duality gap. Zbl 0807.90101Ben-Tal, Aharon; Eiger, Gideon; Gershovitz, Vladimir 42 1994 Deriving robust counterparts of nonlinear uncertain inequalities. Zbl 1308.65089Ben-Tal, Aharon; Den Hertog, Dick; Vial, Jean-Philippe 38 2015 A soft robust model for optimization under ambiguity. Zbl 1228.90060Ben-Tal, Aharon; Bertsimas, Dimitris; Brown, David B. 37 2010 On generalized means and generalized convex functions. Zbl 0325.26007Ben-Tal, A. 37 1977 Robust modeling of multi-stage portfolio problems. Zbl 1016.91055Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi 33 2000 A new method for optimal truss topology design. Zbl 0780.90076Ben-Tal, Aharon; Bendsøe, Martin P. 33 1993 Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079Ben-Tal, Aharon; Nemirovski, Arkadi 31 2005 The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi 29 2001 Hidden conic quadratic representation of some nonconvex quadratic optimization problems. Zbl 1295.90036Ben-Tal, Aharon; den Hertog, Dick 29 2014 On the solution of the Tikhonov regularization of the total least squares problem. Zbl 1112.65034Beck, Amir; Ben-Tal, Aharon 29 2006 Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem 29 2000 Bounds on the expectation of a convex function of a random variable: With applications to stochastic programming. Zbl 0362.62014Huang, C. C.; Ziemba, W. T.; Ben-Tal, A. 28 1977 Equivalent displacement based formulations for maximum strength truss topology design. Zbl 0769.73054Achtziger, W.; Bendsøe, Martin P.; Ben-Tal, A.; Zowe, J. 27 1992 Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc 26 2006 Penalty functions and duality in stochastic programming via \(\phi\)- divergence functionals. Zbl 0624.90076Ben-Tal, A.; Teboulle, M. 22 1987 Characterization of optimality in convex programming without a constraint qualification. Zbl 0327.90025Ben-Tal, A.; Ben-Israel, A.; Zlobec, S. 19 1976 A geometric property of the least squares solution of linear equations. Zbl 0704.15005Ben-Tal, Aharon; Teboulle, Marc 18 1990 More bounds on the expectation of a convex function of a random variable. Zbl 0246.60011Ben-Tal, A.; Hochman, E. 18 1972 A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078Ben-Tal, A.; Teboulle, M. 17 1989 Necessary and sufficient conditions for a Pareto optimum in convex programming. Zbl 0367.90093Ben-Israel, A.; Ben-Tal, A.; Charnes, A. 17 1977 The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007Ben-Tal, A.; Teboulle, M.; Charnes, A. 15 1988 On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140Ben-Tal, Aharon; Nemirovski, Arkadi 13 2009 Technical note: Deriving robust and globalized robust solutions of uncertain linear programs with general convex uncertainty sets. Zbl 1302.90142Gorissen, Bram L.; Blanc, Hans; den Hertog, Dick; Ben-Tal, Aharon 13 2014 Optimality conditions for convex semi-infinite programming problems. Zbl 0448.90045Ben-Tal, A.; Kerzner, L.; Zlobec, S. 13 1980 Potential reduction polynomial time method for truss topology design. Zbl 0821.90137Ben-Tal, Aharon; Nemirovskii, Arkadii 13 1994 The CoMirror algorithm for solving nonsmooth constrained convex problems. Zbl 1202.90209Beck, Amir; Ben-Tal, Aharon; Guttmann-Beck, Nili; Tetruashvili, Luba 13 2010 Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J. 12 1999 Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc 12 1991 The entropic penalty approach to stochastic programming. Zbl 0565.90052Ben-Tal, Aharon 11 1985 Oracle-based robust optimization via online learning. Zbl 1327.90379Ben-Tal, Aharon; Hazan, Elad; Koren, Tomer; Mannor, Shie 11 2015 A dual approach to multidimensional \(L_ p\) spectral estimation problems. Zbl 0672.93068Ben-Tal, A.; Borwein, J. M.; Teboulle, M. 11 1988 Extended matrix cube theorems with applications to \(\mu\)-theory in control. Zbl 1082.90083Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis 11 2003 Chance constrained uncertain classification via robust optimization. Zbl 1218.68117Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Saketha Nath, J. 10 2011 Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi 10 2005 A recourse certainty equivalent for decisions under uncertainty. Zbl 0741.90001Ben-Tal, Aharon; Ben-Israel, Adi 10 1991 Curved search methods for unconstrained optimization. Zbl 0722.90071Ben-Tal, A.; Melman, A.; Zowe, J. 9 1990 Robustness. Zbl 0957.90525Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi 9 2000 A sequential parametric convex approximation method with applications to nonconvex truss topology design problems. Zbl 1220.90095Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba 8 2010 Entropic means. Zbl 0675.26007Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc 8 1989 Stochastic programs with incomplete information. Zbl 0347.90053Ben-Tal, Aharon; Hochman, Eithan 8 1976 A Helly-type theorem and semiinfinite programming. Zbl 0444.49023Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A. 8 1979 Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi 7 2004 Second order optimality conditions for the \(L_ 1\)-minimization problem. Zbl 0566.49013Ben-Tal, A.; Zowe, J. 7 1985 Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002Ben-Tal, Aharon; Teboulle, Marc 7 1991 Structural design. Zbl 0957.90529Ben-Tal, Aharon; Nemirovski, Arkadi 7 2000 On a characterization of optimality in convex programming. Zbl 0352.90048Ben-Israel, A.; Ben-Tal, A. 7 1976 Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen 7 1979 On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588Ben-Tal, Aharon; Nemirovski, Arkadi 6 2003 Symmetry restoration in a class of forced oscillators. Zbl 1034.34050Ben-Tal, A. 6 2002 Robust optimization of uncertain multistage inventory systems with inexact data in decision rules. Zbl 1397.90047de Ruiter, Frans J. C. T.; Ben-Tal, Aharon; Brekelmans, Ruud C. M.; den Hertog, Dick 6 2017 Characterizations of optimality in convex programming: The nondifferentiable case. Zbl 0408.90068Ben-Tal, A.; Ben-Israel, A. 6 1979 Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J. 6 2000 Robust optimization with ambiguous stochastic constraints under mean and dispersion information. Zbl 1455.90123Postek, Krzysztof; Ben-Tal, Aharon; den Hertog, Dick; Melenberg, Bertrand 6 2018 Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi 5 2003 Adjustable robust counterpart of conic quadratic problems. Zbl 1211.90153Boni, Odellia; Ben-Tal, Aharon 4 2008 A nondifferentiable approach to decomposable optimization problems with an application to the design of water distribution networks. Zbl 0790.90064Ben-Tal, A.; Eiger, G.; Outrata, J.; Zowe, J. 4 1992 A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H. 4 1991 A global solution for the structured total least squares problem with block circulant matrices. Zbl 1106.65034Beck, Amir; Ben-Tal, Aharon 4 2005 Second order theory of extremum problems. Zbl 0432.90085Ben-Tal, Aharon 4 1980 A dual optimization framework for some problems of information theory and statistics. Zbl 0437.90078Ben-Tal, A.; Charnes, A. 4 1979 Optimality conditions in convex programming. Zbl 0446.90068Ben-Israel, A.; Ben-Tal, A.; Zlobec, S. 4 1980 A tractable approach for designing piecewise affine policies in two-stage adjustable robust optimization. Zbl 1445.90071Ben-Tal, Aharon; El Housni, Omar; Goyal, Vineet 3 2020 Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010Ben-Tal, Aharon; Teboulle, Marc 3 1986 Globalized robust optimization for nonlinear uncertain inequalities. Zbl 1371.90092Ben-Tal, Aharon; Brekelmans, Ruud; den Hertog, Dick; Vial, Jean-Philippe 3 2017 F-convex functions: Properties and applications. Zbl 0535.90074Ben-Tal, A.; Ben-Israel, A. 3 1981 A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian 3 2008 A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086Ben-Tal, Aharon; Teboulle, Marc 3 1996 A unified model for elastoplastic structural analysis via dual variational principles. Zbl 0767.73093Ben-Tal, Aharon; Taylor, John E. 3 1992 Robust mean-squared error estimation of multiple signals in linear systems affected by model and noise uncertainties. Zbl 1135.93031Beck, Amir; Ben-Tal, Aharon; Eldar, Yonina C. 3 2006 Primal geometric programs treated by linear programming. Zbl 0346.90050Ben-Tal, Aharon; Ben-Israel, Adi 3 1976 Nonpolynomial and inverse interpolation for line search: Synthesis and convergence rates. Zbl 0493.65026Barzilai, J.; Ben-Tal, A. 3 1982 Ordered incidence geometry and the geometric foundations of convexity theory. Zbl 0629.51013Ben-Tal, Aharon; Ben-Israel, Adi 2 1987 A semi-definite programming approach for robust tracking. Zbl 1353.90105Shtern, Shimrit; Ben-Tal, Aharon 2 2016 Variable sparsity kernel learning. Zbl 1280.68152Aflalo, Jonathan; Ben-Tal, Aharon; Bhattacharyya, Chiranjib; Saketha Nath, Jagarlapudi; Raman, Sankaran 2 2011 Efficient methods for robust classification under uncertainty in kernel matrices. Zbl 1433.68326Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Nemirovski, Arkadi 2 2012 Mean-squared error estimation for linear systems with block circulant uncertainty. Zbl 1154.90007Beck, Amir; Eldar, Yonina C.; Ben-Tal, Aharon 2 2007 A new class of feasible direction methods. Zbl 0405.90057Ben-Tal, A.; Zlobec, S. 2 1979 A tractable approach for designing piecewise affine policies in two-stage adjustable robust optimization. Zbl 1445.90071Ben-Tal, Aharon; El Housni, Omar; Goyal, Vineet 3 2020 Robust optimization with ambiguous stochastic constraints under mean and dispersion information. Zbl 1455.90123Postek, Krzysztof; Ben-Tal, Aharon; den Hertog, Dick; Melenberg, Bertrand 6 2018 Robust optimization of uncertain multistage inventory systems with inexact data in decision rules. Zbl 1397.90047de Ruiter, Frans J. C. T.; Ben-Tal, Aharon; Brekelmans, Ruud C. M.; den Hertog, Dick 6 2017 Globalized robust optimization for nonlinear uncertain inequalities. Zbl 1371.90092Ben-Tal, Aharon; Brekelmans, Ruud; den Hertog, Dick; Vial, Jean-Philippe 3 2017 A semi-definite programming approach for robust tracking. Zbl 1353.90105Shtern, Shimrit; Ben-Tal, Aharon 2 2016 On the average performance of the adjustable RO and its use as an offline tool for multi-period production planning under uncertainty. Zbl 1397.90314Melamed, Michal; Ben-Tal, Aharon; Golany, Boaz 2 2016 Computational methods for solving nonconvex block-separable constrained quadratic problems. Zbl 1338.90293Shtern, Shimrit; Ben-Tal, Aharon 2 2016 Coarse-graining and simplification of the dynamics seen in bursting neurons. Zbl 1353.37164Ben-Tal, A.; Kevrekidis, I. G. 1 2016 Deriving robust counterparts of nonlinear uncertain inequalities. Zbl 1308.65089Ben-Tal, Aharon; Den Hertog, Dick; Vial, Jean-Philippe 38 2015 Oracle-based robust optimization via online learning. Zbl 1327.90379Ben-Tal, Aharon; Hazan, Elad; Koren, Tomer; Mannor, Shie 11 2015 On solving large-scale polynomial convex problems by randomized first-order algorithms. Zbl 1338.90249Ben-Tal, Aharon; Nemirovski, Arkadi 1 2015 Hidden conic quadratic representation of some nonconvex quadratic optimization problems. Zbl 1295.90036Ben-Tal, Aharon; den Hertog, Dick 29 2014 Technical note: Deriving robust and globalized robust solutions of uncertain linear programs with general convex uncertainty sets. Zbl 1302.90142Gorissen, Bram L.; Blanc, Hans; den Hertog, Dick; Ben-Tal, Aharon 13 2014 Robust formulations for clustering-based large-scale classification. Zbl 1294.62141Saketha Nath, Jagarlapudi; Ben-Tal, Aharon; Bhattacharyya, Chiranjib 1 2013 Efficient methods for robust classification under uncertainty in kernel matrices. Zbl 1433.68326Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Nemirovski, Arkadi 2 2012 A sequential ascending parameter method for solving constrained minimization problems. Zbl 1269.90076Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba 1 2012 Chance constrained uncertain classification via robust optimization. Zbl 1218.68117Ben-Tal, Aharon; Bhadra, Sahely; Bhattacharyya, Chiranjib; Saketha Nath, J. 10 2011 Variable sparsity kernel learning. Zbl 1280.68152Aflalo, Jonathan; Ben-Tal, Aharon; Bhattacharyya, Chiranjib; Saketha Nath, Jagarlapudi; Raman, Sankaran 2 2011 A soft robust model for optimization under ambiguity. Zbl 1228.90060Ben-Tal, Aharon; Bertsimas, Dimitris; Brown, David B. 37 2010 The CoMirror algorithm for solving nonsmooth constrained convex problems. Zbl 1202.90209Beck, Amir; Ben-Tal, Aharon; Guttmann-Beck, Nili; Tetruashvili, Luba 13 2010 A sequential parametric convex approximation method with applications to nonconvex truss topology design problems. Zbl 1220.90095Beck, Amir; Ben-Tal, Aharon; Tetruashvili, Luba 8 2010 Robust optimization. Zbl 1221.90001Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi 454 2009 Duality in robust optimization: Primal worst equals dual best. Zbl 1154.90614Beck, Amir; Ben-Tal, Aharon 69 2009 On safe tractable approximations of chance-constrained linear matrix inequalities. Zbl 1218.90140Ben-Tal, Aharon; Nemirovski, Arkadi 13 2009 Selected topics in robust convex optimization. Zbl 1135.90046Ben-Tal, Aharon; Nemirovski, Arkadi 59 2008 Adjustable robust counterpart of conic quadratic problems. Zbl 1211.90153Boni, Odellia; Ben-Tal, Aharon 4 2008 A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian 3 2008 An old-new concept of convex risk measures: The optimized certainty equivalent. Zbl 1186.91116Ben-Tal, Aharon; Teboulle, Marc 89 2007 Mean-squared error estimation for linear systems with block circulant uncertainty. Zbl 1154.90007Beck, Amir; Eldar, Yonina C.; Ben-Tal, Aharon 2 2007 Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems. Zbl 1134.90042Ben-Tal, Aharon; Boyd, Stephen; Nemirovski, Arkadi 43 2006 On the solution of the Tikhonov regularization of the total least squares problem. Zbl 1112.65034Beck, Amir; Ben-Tal, Aharon 29 2006 Finding a global optimal solution for a quadratically constrained fractional quadratic problem with applications to the regularized total least squares. Zbl 1115.65065Beck, Amir; Ben-Tal, Aharon; Teboulle, Marc 26 2006 Robust mean-squared error estimation of multiple signals in linear systems affected by model and noise uncertainties. Zbl 1135.93031Beck, Amir; Ben-Tal, Aharon; Eldar, Yonina C. 3 2006 Non-Euclidean restricted memory level method for large-scale convex optimization. Zbl 1066.90079Ben-Tal, Aharon; Nemirovski, Arkadi 31 2005 Robust mean-squared error estimation in the presence of model uncertainties. Zbl 1370.93255Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi 10 2005 A global solution for the structured total least squares problem with block circulant matrices. Zbl 1106.65034Beck, Amir; Ben-Tal, Aharon 4 2005 Adjustable robust solutions of uncertain linear programs. Zbl 1089.90037Ben-Tal, A.; Goryashko, A.; Guslitzer, E.; Nemirovski, A. 263 2004 Linear minimax regret estimation of deterministic parameters with bounded data uncertainties. Zbl 1369.93592Eldar, Yonina C.; Ben-Tal, Aharon; Nemirovski, Arkadi 7 2004 Extended matrix cube theorems with applications to \(\mu\)-theory in control. Zbl 1082.90083Ben-Tal, Aharon; Nemirovski, Arkadi; Roos, Cornelis 11 2003 On approximate robust counterparts of uncertain semidefinite and conic quadratic programs. Zbl 1095.90588Ben-Tal, Aharon; Nemirovski, Arkadi 6 2003 Robust dissipativity of interval uncertain linear systems. Zbl 1049.93020Barb, Florin Dan; Ben-Tal, Aharon; Nemirovski, Arkadi 5 2003 Robust optimization-methodology and applications. Zbl 1007.90047Ben-Tal, Aharon; Nemirovski, Arkadi 219 2002 Robust solutions of uncertain quadratic and conic-quadratic problems. Zbl 1026.90065Ben-Tal, A.; Nemirovski, A.; Roos, C. 58 2002 On tractable approximations of uncertain linear matrix inequalities affected by interval uncertainty. Zbl 1008.90034Ben-Tal, Aharon; Nemirovski, Arkadi 51 2002 Symmetry restoration in a class of forced oscillators. Zbl 1034.34050Ben-Tal, A. 6 2002 Lectures on modern convex optimization. Analysis, algorithms, and engineering applications. Zbl 0986.90032Ben-Tal, Aharon; Nemirovski, Arkadi 513 2001 On polyhedral approximations of the second-order cone. Zbl 1082.90133Ben-Tal, Aharon; Nemirovski, Arkadi 75 2001 The ordered subsets mirror descent optimization method with applications to tomography. Zbl 0992.92034Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi 29 2001 Robust solutions of linear programming problems contaminated with uncertain data. Zbl 0964.90025Ben-Tal, Aharon; Nemirovski, Arkadi 263 2000 Robust modeling of multi-stage portfolio problems. Zbl 1016.91055Ben-Tal, Aharon; Margalit, Tamar; Nemirovski, Arkadi 33 2000 Optimal design of trusses under a nonconvex global buckling constraint. Zbl 1106.74388Ben-Tal, Aharon; Jarre, Florian; Kočvara, Michal; Nemirovski, Arkadi; Zowe, Jochem 29 2000 Robustness. Zbl 0957.90525Ben-Tal, Aharon; El Ghaoui, Laurent; Nemirovski, Arkadi 9 2000 Structural design. Zbl 0957.90529Ben-Tal, Aharon; Nemirovski, Arkadi 7 2000 Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0984.74061Ben-Tal, A.; Kovara, M.; Nemirovski, A.; Zowe, J. 6 2000 Robust solutions of uncertain linear programs. Zbl 0941.90053Ben-Tal, A.; Nemirovski, A. 341 1999 Free material design via semidefinite programming: The multiload case with contact conditions. Zbl 0969.74051Ben-Tal, A.; Kocvara, M.; Nemirovski, A.; Zowe, J. 12 1999 Robust convex optimization. Zbl 0977.90052Ben-Tal, A.; Nemirovski, A. 475 1998 Robust truss topology design via semidefinite programming. Zbl 0899.90133Ben-Tal, A.; Nemirovski, A. 83 1997 Penalty/Barrier multiplier methods for convex programming problems. Zbl 0872.90068Ben-Tal, Aharon; Zibulevsky, Michael 46 1997 Duality and equilibrium prices in economics of uncertainty. Zbl 0886.90057Ben-Israel, Adi; Ben-Tal, Aharon 1 1997 Hidden convexity in some nonconvex quadratically constrained quadratic programming. Zbl 0851.90087Ben-Tal, Aharon; Teboulle, Marc 59 1996 A conjugate duality scheme generating a new class of differentiable duals. Zbl 0856.90086Ben-Tal, Aharon; Teboulle, Marc 3 1996 Global minimization by reducing the duality gap. Zbl 0807.90101Ben-Tal, Aharon; Eiger, Gideon; Gershovitz, Vladimir 42 1994 Potential reduction polynomial time method for truss topology design. Zbl 0821.90137Ben-Tal, Aharon; Nemirovskii, Arkadii 13 1994 A new method for optimal truss topology design. Zbl 0780.90076Ben-Tal, Aharon; Bendsøe, Martin P. 33 1993 Equivalent displacement based formulations for maximum strength truss topology design. Zbl 0769.73054Achtziger, W.; Bendsøe, Martin P.; Ben-Tal, A.; Zowe, J. 27 1992 A nondifferentiable approach to decomposable optimization problems with an application to the design of water distribution networks. Zbl 0790.90064Ben-Tal, A.; Eiger, G.; Outrata, J.; Zowe, J. 4 1992 A unified model for elastoplastic structural analysis via dual variational principles. Zbl 0767.73093Ben-Tal, Aharon; Taylor, John E. 3 1992 Certainty equivalents and information measures: Duality and extremal principles. Zbl 0736.94004Ben-Tal, Aharon; Ben-Israel, Adi; Teboulle, Marc 12 1991 A recourse certainty equivalent for decisions under uncertainty. Zbl 0741.90001Ben-Tal, Aharon; Ben-Israel, Adi 10 1991 Portfolio theory for the recourse certainty equivalent maximizing investor. Zbl 0795.90002Ben-Tal, Aharon; Teboulle, Marc 7 1991 A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity. Zbl 0734.73097Ben-Tal, Aharon; Teboulle, Marc; Yang, Wei H. 4 1991 A geometric property of the least squares solution of linear equations. Zbl 0704.15005Ben-Tal, Aharon; Teboulle, Marc 18 1990 Curved search methods for unconstrained optimization. Zbl 0722.90071Ben-Tal, A.; Melman, A.; Zowe, J. 9 1990 A smoothing technique for nondifferentiable optimization problems. Zbl 0683.90078Ben-Tal, A.; Teboulle, M. 17 1989 Entropic means. Zbl 0675.26007Ben-Tal, Aharon; Charnes, Abraham; Teboulle, Marc 8 1989 The role of duality in optimization problems involving entropy functionals with applications to information theory. Zbl 0631.49007Ben-Tal, A.; Teboulle, M.; Charnes, A. 15 1988 A dual approach to multidimensional \(L_ p\) spectral estimation problems. Zbl 0672.93068Ben-Tal, A.; Borwein, J. M.; Teboulle, M. 11 1988 Extension of some results for channel capacity using a generalized information measure. Zbl 0641.94008Ben-Tal, Aharon; Teboulle, Marc 1 1988 Penalty functions and duality in stochastic programming via \(\phi\)- divergence functionals. Zbl 0624.90076Ben-Tal, A.; Teboulle, M. 22 1987 Ordered incidence geometry and the geometric foundations of convexity theory. Zbl 0629.51013Ben-Tal, Aharon; Ben-Israel, Adi 2 1987 Expected utility, penalty functions, and duality in stochastic nonlinear programming. Zbl 0625.90064Ben-Tal, Aharon; Teboulle, Marc 50 1986 Rate distortion theory with generalized information measures via convex programming duality. Zbl 0618.94010Ben-Tal, Aharon; Teboulle, Marc 3 1986 Technical note: Directional derivatives in nonsmooth optimization. Zbl 0556.90074Ben-Tal, A.; Zowe, J. 44 1985 The entropic penalty approach to stochastic programming. Zbl 0565.90052Ben-Tal, Aharon 11 1985 Second order optimality conditions for the \(L_ 1\)-minimization problem. Zbl 0566.49013Ben-Tal, A.; Zowe, J. 7 1985 A minmax-search for the critical level of a system: The asymmetric case. Zbl 0579.90039Abigadol, Noomi; Ben-Tal, Aharon 1 1985 A duality theory for a class of problems with essentially unconstrained duals. Zbl 0513.90067Ben-Tal, A.; Barzilai, A.; Charnes, A. 1 1983 A unified theory of first and second order conditions for extremum problems in topological vector spaces. Zbl 0494.49020Ben-Tal, A.; Zowe, J. 84 1982 Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Zbl 0488.90059Ben-Tal, A.; Zowe, J. 71 1982 Nonpolynomial and inverse interpolation for line search: Synthesis and convergence rates. Zbl 0493.65026Barzilai, J.; Ben-Tal, A. 3 1982 Optimality in nonlinear programming: a feasible directions approach. Zbl 0454.90043Ben-Israel, A.; Ben-Tal, A.; Zlobec, S. 48 1981 F-convex functions: Properties and applications. Zbl 0535.90074Ben-Tal, A.; Ben-Israel, A. 3 1981 Second-order and related extremality conditions in nonlinear programming. Zbl 0416.90062Ben-Tal, A. 80 1980 Optimality conditions for convex semi-infinite programming problems. Zbl 0448.90045Ben-Tal, A.; Kerzner, L.; Zlobec, S. 13 1980 Second order theory of extremum problems. Zbl 0432.90085Ben-Tal, Aharon 4 1980 Optimality conditions in convex programming. Zbl 0446.90068Ben-Israel, A.; Ben-Tal, A.; Zlobec, S. 4 1980 Characterization of Pareto and lexicographic optimal solutions. Zbl 0443.90097Ben-Tal, Aharon 2 1980 A Helly-type theorem and semiinfinite programming. Zbl 0444.49023Ben-Tal, A.; Rosinger, E. E.; Ben-Israel, A. 8 1979 Second order necessary optimality conditions for semi-infinite programming problems. Zbl 0409.90076Ben-Tal, Aharon; Teboulle, Marc; Zowe, Jochen 7 1979 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,724 Authors 51 Jeyakumar, Vaithilingam 40 Ben-Tal, Aharon 31 Bertsimas, Dimitris John 31 Goerigk, Marc 31 Li, Guoyin 25 Pinar, Mustafa Çelebi 22 Kuhn, Daniel 22 Xia, Yong 21 Nemirovski, Arkadi S. 20 Yang, Xiaoqi 19 den Hertog, Dick 19 Poss, Michael 18 Kanno, Yoshihiro 18 Salahi, Maziar 18 Schöbel, Anita 18 Zlobec, Sanjo 17 Fang, Shu-Cherng 16 Boyd, Stephen Poythress 16 Teboulle, Marc 15 Chuong, Thai Doan 15 Wiesemann, Wolfram 14 Atamtürk, Alper 14 Beck, Amir 14 Goberna, Miguel Angel 14 Li, Duan 14 Rustem, Berc 14 Zhang, Liwei 13 Borwein, Jonathan Michael 13 Gasnikov, Alexander V. 13 Kočvara, Michal 13 Lee, Gue Myung 12 Juditsky, Anatoli B. 12 Polyak, Boris Teodorovich 12 Teo, Kok Lay 12 Van Ackooij, Wim 12 Wolkowicz, Henry 11 Chassein, André B. 11 Nie, Jiawang 11 Pardalos, Panos M. 11 Sim, Melvyn 10 Dey, Santanu S. 10 Guigues, Vincent 10 Lan, Guanghui 10 López-Cerdá, Marco Antonio 10 Pastor, Karel 10 Stolpe, Mathias 10 Vielma, Juan Pablo 10 Zhang, Shuzhong 9 Krokhmal, Pavlo A. 9 Lee, Jae Hyoung 9 Shapiro, Alexander 9 Sun, Jie 9 Terlaky, Tamás 9 Weber, Gerhard-Wilhelm 9 Zowe, Jochem 8 Antczak, Tadeusz 8 Ben-Israel, Adi 8 Buchheim, Christoph 8 Campi, Marco Claudio 8 Deng, Zhibin 8 Georghiou, Angelos 8 Gotoh, Jun-ya 8 Goyal, Vineet 8 Henrion, Didier 8 Ivanov, Vsevolod Ivanov 8 Klep, Igor 8 Köbis, Elisabeth 8 Kurtz, Jannis 8 Lasserre, Jean-Bernard 8 Misener, Ruth 8 Ouorou, Adam 8 Pokutta, Sebastian 8 Takeda, Akiko 8 Xing, Wenxun 8 Xu, Huifu 7 Bednařík, Dušan 7 Bomze, Immanuel M. 7 Chen, Jiawei 7 Chen, Zhiping 7 Goulart, Paul J. 7 Hanasusanto, Grani A. 7 Helton, John William 7 Jiang, Rujun 7 Kılınç Karzan, Fatma 7 Liers, Frauke 7 Penot, Jean-Paul 7 Sun, Xiangkai 7 Thiele, Aurélie C. 7 Tran Dinh Quoc 7 Tunçel, Levent 6 Ahmed, Shabbir 6 Calafiore, Giuseppe Carlo 6 Charnes, Abraham 6 Chen, Chunrong 6 Delage, Erick 6 Fabozzi, Frank J. 6 Fallahi, Saeed 6 Fawzi, Hamza 6 Floudas, Christodoulos Achilleus 6 Ginchev, Ivan G. ...and 3,624 more Authors all top 5 Cited in 336 Serials 230 European Journal of Operational Research 211 Mathematical Programming. Series A. Series B 152 Journal of Optimization Theory and Applications 108 Journal of Global Optimization 83 Optimization 81 SIAM Journal on Optimization 78 Computers & Operations Research 78 Annals of Operations Research 72 Optimization Letters 70 Operations Research Letters 65 Computational Optimization and Applications 49 Operations Research 45 Automatica 44 Optimization and Engineering 39 Optimization Methods & Software 28 Computational Management Science 26 Computer Methods in Applied Mechanics and Engineering 26 Applied Mathematics and Optimization 25 Mathematics of Operations Research 25 Linear Algebra and its Applications 25 Journal of Industrial and Management Optimization 24 INFORMS Journal on Computing 22 Journal of Computational and Applied Mathematics 22 Structural and Multidisciplinary Optimization 21 Applied Mathematical Modelling 19 Mathematical Methods of Operations Research 18 Journal of Mathematical Analysis and Applications 17 Automation and Remote Control 17 Mathematical Problems in Engineering 16 Mathematical Programming 16 Set-Valued and Variational Analysis 15 Applied Mathematics and Computation 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 OR Spectrum 15 Discrete Optimization 13 International Journal for Numerical Methods in Engineering 13 Numerical Functional Analysis and Optimization 13 Journal of the Operations Research Society of China 12 Positivity 12 Journal of Scheduling 12 EURO Journal on Computational Optimization 11 Discrete Applied Mathematics 11 Systems & Control Letters 11 Top 11 Journal of Inequalities and Applications 11 Mathematical Programming Computation 10 International Journal of Control 10 Insurance Mathematics & Economics 10 Computational and Applied Mathematics 10 Journal of Combinatorial Optimization 10 Nonlinear Analysis. Theory, Methods & Applications 9 Applicable Analysis 9 Applications of Mathematics 8 Transactions of the American Mathematical Society 8 CEJOR. Central European Journal of Operations Research 8 Quantitative Finance 8 Networks and Spatial Economics 8 Numerical Algebra, Control and Optimization 8 SIAM Journal on Applied Algebra and Geometry 7 The Annals of Statistics 7 Asia-Pacific Journal of Operational Research 7 Mathematical and Computer Modelling 7 Numerical Algorithms 7 Computational Statistics and Data Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 RAIRO. Operations Research 6 Fuzzy Sets and Systems 6 Networks 6 Discrete & Computational Geometry 6 Japan Journal of Industrial and Applied Mathematics 6 Computational Mathematics and Mathematical Physics 6 SIAM Journal on Scientific Computing 6 European Journal of Control 6 Abstract and Applied Analysis 6 Discrete Dynamics in Nature and Society 5 Computers & Mathematics with Applications 5 Journal of the Franklin Institute 5 Journal of Statistical Planning and Inference 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Computational Mechanics 5 Machine Learning 5 SIAM Review 5 ZOR. Zeitschrift für Operations Research 5 Cybernetics and Systems Analysis 5 Journal of Mathematical Sciences (New York) 5 International Transactions in Operational Research 5 Mathematical Finance 5 Vietnam Journal of Mathematics 5 Foundations of Computational Mathematics 5 Journal of Applied Mathematics 5 4OR 5 Electronic Journal of Statistics 5 SIAM Journal on Financial Mathematics 5 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 4 Information Sciences 4 Kybernetika 4 Naval Research Logistics 4 Opsearch 4 SIAM Journal on Control and Optimization ...and 236 more Serials all top 5 Cited in 54 Fields 2,200 Operations research, mathematical programming (90-XX) 373 Calculus of variations and optimal control; optimization (49-XX) 361 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 296 Numerical analysis (65-XX) 162 Systems theory; control (93-XX) 153 Statistics (62-XX) 134 Computer science (68-XX) 108 Mechanics of deformable solids (74-XX) 66 Convex and discrete geometry (52-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 62 Probability theory and stochastic processes (60-XX) 45 Real functions (26-XX) 42 Information and communication theory, circuits (94-XX) 36 Functional analysis (46-XX) 35 Operator theory (47-XX) 18 Algebraic geometry (14-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Combinatorics (05-XX) 17 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 14 Quantum theory (81-XX) 12 Approximations and expansions (41-XX) 9 History and biography (01-XX) 6 Number theory (11-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 2 Mathematical logic and foundations (03-XX) 2 General algebraic systems (08-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Mathematics education (97-XX) Citations by Year