Edit Profile (opens in new tab) Temlyakov, Vladimir Nikolaevich Compute Distance To: Compute Author ID: temlyakov.vladimir-n Published as: Temlyakov, V. N.; Temlyakov, V.; Temlyakov, Vladimir N.; Temlyakov, Vladimir; Temljakov, V. N. more...less Homepage: http://imi.cas.sc.edu/people/vladimir-temlyakov/ External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 204 Publications since 1974, including 7 Books Co-Authors: 76 Co-Authors with 76 Joint Publications 2,081 Co-Co-Authors all top 5 Co-Authors 127 single-authored 10 Kashin, Boris Sergeevich 9 DeVore, Ronald A. 9 Konyagin, Sergeĭ Vladimirovich 7 Tikhonov, Sergey Yur’evich 6 Dilworth, Stephen J. 5 Kutzarova, Denka N. 4 Dai, Feng 3 Kerkyacharian, Gérard 3 Livshitz, Eugene D. 3 Picard, Dominique B. 3 Prymak, Andriy V. 3 Ullrich, Tino 2 Andrianov, Alexander V. 2 Bilyk, Dmitry 2 Dereventsov, A. V. 2 Donoho, David Leigh 2 Elad, Michael 2 Kazarian, Kazaros S. 2 Leviatan, Dany 2 Limonova, Irina V. 2 Liu, Entao 2 Nelson, James L. 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Yang, Mingrui 2 Ye, Peixin 2 Yu, Rui 1 Bazarkhanov, Daurenbek Bolysbekovich 1 Besov, Oleg Vladimirovich 1 Binev, Peter G. 1 Bochkarëv, Sergeĭ Viktorovich 1 Borodin, Petr A. 1 Burusheva, L. Sh. 1 Cohen, Albert 1 Dahmen, Wolfgang A. 1 Dinh Dũng 1 D’yachenko, Mikhaĭl Ivanovich 1 Dzyadyk, Vladyslav Kyrylovych 1 Fedorov, V. M. 1 Garrigós, Gustavo 1 Hernandez, Eugenio 1 Il’in, Vladimir Aleksandrovich 1 Kalton, Nigel John 1 Kamont, Anna 1 Kolchinskiĭ, Vladimir I’ich 1 Korneĭchuk, Nikolaĭ Pavlovich 1 Kosov, Egor D. 1 Kudryavtsev, Lev Dmitrievich 1 Lukashenko, Taras P. 1 Lutoborski, Adam 1 Maiorov, Vitaly Evgen’evich 1 Malykhin, Yuriĭ Vyacheslavovich 1 McFaden, Harold 1 Mel’nikov, I. I. 1 Oleĭnik, Ol’ga Arsen’evna 1 Osipov, Yuriĭ Sergeevich 1 Oskolkov, Konstantin Ilyich 1 Petrova, Guergana 1 Petrushev, Pencho P. 1 Pokhozhaev, Stanislav I. 1 Rubtsova, A. S. 1 Ryutin, Konstantin S. 1 Sadovnichiĭ, Viktor Antonovich 1 Savu, Daniel 1 Shuman, Karen L. 1 Simonov, Boris Vital’evich 1 Skvortsov, Valentin Anatol’evich 1 Solodov, Alekseĭ Petrovich 1 Soto-Bajo, Moisés 1 Stechkin, Sergeĭ Borisovich 1 Tsybakov, Alexandre B. 1 Ullrich, Mario 1 Ul’yanov, Pëtr Lavrent’evich 1 Vladimirov, Vasiliĭ Sergeevich 1 Volkov, Evgeniĭ Alekseevich 1 Wallis, Ben 1 Wojtaszczyk, Przemyslaw 1 Zheltov, Pavel all top 5 Serials 18 Constructive Approximation 17 Proceedings of the Steklov Institute of Mathematics 14 Mathematical Notes 14 Journal of Complexity 12 East Journal on Approximations 10 Soviet Mathematics. Doklady 9 Journal of Approximation Theory 9 Advances in Computational Mathematics 7 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 6 Analysis Mathematica 5 Russian Mathematical Surveys 5 Studia Mathematica 5 Mathematics of the USSR, Sbornik 4 IEEE Transactions on Information Theory 4 Matematicheskie Zametki 4 Mathematics of the USSR. Izvestiya 4 The Journal of Fourier Analysis and Applications 4 Foundations of Computational Mathematics 3 Journal of Functional Analysis 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Sbornik: Mathematics 2 Journal of Mathematical Analysis and Applications 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Cambridge Monographs on Applied and Computational Mathematics 2 Advanced Courses in Mathematics – CRM Barcelona 1 Ukrainian Mathematical Journal 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Serdica Mathematical Journal 1 Journal of Machine Learning Research (JMLR) 1 Acta Numerica 1 Jaen Journal on Approximation 1 Forum of Mathematics, Sigma 1 SMAI Journal of Computational Mathematics all top 5 Fields 164 Approximations and expansions (41-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 50 Functional analysis (46-XX) 41 Numerical analysis (65-XX) 12 Information and communication theory, circuits (94-XX) 9 Statistics (62-XX) 9 Computer science (68-XX) 5 Real functions (26-XX) 4 Number theory (11-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 2,420 times in 1,142 Documents Cited by ▼ Year ▼ Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 203 2006 Approximation of periodic functions. Zbl 0899.41001Temlyakov, V. N. 187 1993 Some remarks on greedy algorithms. Zbl 0857.65016DeVore, R. A.; Temlyakov, V. N. 115 1996 A remark on greedy approximation in Banach spaces. Zbl 1084.46509Konyagin, S. V.; Temlyakov, V. N. 104 1999 Nonlinear methods of approximation. Zbl 1039.41012Temlyakov, V. N. 92 2003 Greedy approximation. Zbl 1279.41001Temlyakov, Vladimir 78 2011 The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063Temlyakov, V. N. 74 1998 Greedy approximation. Zbl 1178.65050Temlyakov, V. N. 68 2008 Weak greedy algorithms. Zbl 0964.65009Temlyakov, V. N. 67 2000 The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. 64 2003 Approximation of functions with bounded mixed derivative. (Priblizhenie funktsij s ogranichennoj smeshannoj proizvodnoj). Zbl 0625.41028Temlyakov, V. N. 63 1986 Hyperbolic wavelet approximation. Zbl 0895.41016De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N. 44 1998 Greedy algorithm and \(m\)-term trigonometric approximation. Zbl 0931.42002Temlyakov, V. N. 43 1998 Approximation methods for supervised learning. Zbl 1146.62322DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir 39 2006 Approximation of functions with a bounded mixed derivative. Transl. from the Russian by H. H. McFaden. Zbl 0668.41024Temlyakov, V. N. 37 1989 Multivariate approximation. Zbl 1428.41001Temlyakov, V. 34 2018 Nonlinear approximation by trigonometric sums. Zbl 0886.42019DeVore, R. A.; Temlyakov, V. N. 34 1995 Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino 32 2018 Cubature formulas, discrepancy, and nonlinear approximation. Zbl 1031.41016Temlyakov, V. N. 31 2003 On approximate recovery of functions with bounded mixed derivative. Zbl 0784.41027Temlyakov, V. N. 31 1993 Reconstruction of periodic functions of several variables with respect to the values in the nodes of number-theoretic nets. Zbl 0621.41004Temlyakov, V. N. 28 1986 Greedy algorithms in Banach spaces. Zbl 0988.41022Temlyakov, V. N. 27 2001 Greedy approximation with regard to non-greedy bases. Zbl 1217.41020Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin 25 2011 Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N. 23 2005 Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N. 22 2012 Greedy algorithms and \(M\)-term approximation with regard to redundant dictionaries. Zbl 0926.65050Temlyakov, V. N. 21 1999 On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\). Zbl 0836.41008Kashin, B. S.; Temlyakov, V. N. 20 1994 The Marcinkiewicz-type discretization theorems. Zbl 1404.41012Temlyakov, V. N. 20 2018 Greedy-type approximation in Banach spaces and applications. Zbl 1070.41018Temlyakov, V. N. 19 2005 The entropy in learning theory. Error estimates. Zbl 1101.62029Konyagin, S. V.; Temlyakov, V. N. 18 2007 Greedy approximation with regard to bases and general minimal systems. Zbl 1040.41008Konyagin, S. V.; Temlyakov, V. N. 18 2002 Greedy algorithms with regard to multivariate systems with special structure. Zbl 0962.41007Temlyakov, V. N. 18 2000 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 17 2007 An inequality for trigonometric polynomials and its application for estimating the entropy numbers. Zbl 0830.42015Temlyakov, V. N. 17 1995 Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N. 17 2002 Integral norm discretization and related problems. Zbl 07179262Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. 17 2019 Nonlinear \(m\)-term approximation with regard to the multivariate Haar system. Zbl 0978.41017Temlyakov, V. N. 16 1998 The orthogonal super greedy algorithm and applications in compressed sensing. Zbl 1365.94180Liu, Entao; Temlyakov, Vladimir N. 16 2012 A remark on compressed sensing. Zbl 1155.94014Kashin, B. S.; Temlyakov, V. N. 15 2007 Approximation in learning theory. Zbl 05264756Temlyakov, V. N. 15 2008 Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness. Zbl 1362.41009Temlyakov, V. N. 15 2015 On a certain norm and related applications. Zbl 0955.42002Kashin, B. S.; Temlyakov, V. N. 13 1998 On the entropy numbers of the mixed smoothness function classes. Zbl 1366.41019Temlyakov, V. 13 2017 On performance of greedy algorithms. Zbl 1230.41005Temlyakov, Vladimir N.; Zheltov, Pavel 12 2011 Approximate recovery of periodic functions of several variables. Zbl 0635.46025Temlyakov, V. N. 12 1987 On a way of obtaining lower estimates for the errors of quadrature formulas. Zbl 0758.41032Temlyakov, V. N. 11 1992 Greedy approximation in convex optimization. Zbl 1317.41016Temlyakov, V. N. 11 2015 Nonlinear Kolmogorov widths. Zbl 0917.41016Temlyakov, V. N. 11 1998 Best basis selection for approximation in \(L_p\). Zbl 1067.41012DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir 11 2003 Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013Konyagin, S. V.; Temlyakov, V. N. 11 2003 An inequality for the entropy numbers and its application. Zbl 1283.41021Temlyakov, V. N. 10 2013 Fibonacci sets and symmetrization in discrepancy theory. Zbl 1257.11074Bilyk, Dmitriy; Temlyakov, V. N.; Yu, Rui 10 2012 On optimal recovery in \(L_2\). Zbl 1469.41009Temlyakov, V. 10 2021 Greedy approximation and the multivariate Haar system. Zbl 1071.41032Kamont, A.; Temlyakov, V. N. 10 2004 Rate of convergence of pure greedy algorithm. Zbl 1101.41309Konyagin, S. V.; Temlyakov, V. N. 10 1999 The Marcinkiewicz-type discretization theorems for the hyperbolic cross. Zbl 1443.41019Temlyakov, V. N. 10 2017 Relaxation in greedy approximation. Zbl 1167.41006Temlyakov, V. N. 9 2008 Greedy expansions in convex optimization. Zbl 1306.49052Temlyakov, V. N. 9 2014 Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases. Zbl 1234.41026Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin 9 2011 Convex optimization on Banach spaces. Zbl 1347.41032DeVore, R. A.; Temlyakov, V. N. 9 2016 Estimates of the bilinear best approximations of periodic functions. Zbl 0678.41026Temlyakov, V. N. 9 1988 Universal bases and greedy algorithms for anisotropic function classes. Zbl 1025.41009Temlyakov, V. N. 9 2002 Error estimates for Fibonacci quadrature formulas for classes of functions with bounded mixed derivative. Zbl 0813.41023Temlyakov, V. N. 9 1991 The volume estimates and their applications. Zbl 1111.41019Kashin, B. S.; Temlyakov, V. N. 8 2003 Sparse approximation and recovery by greedy algorithms in Banach spaces. Zbl 1296.41030Temlyakov, V. N. 8 2014 Some inequalities for multivariate Haar polynomials. Zbl 0845.41011Temlyakov, V. N. 8 1995 On the size of incoherent systems. Zbl 1242.41037Nelson, J. L.; Temlyakov, V. N. 8 2011 Vector greedy algorithms. Zbl 1234.41024Lutoborski, Adam; Temlyakov, Vladimir N. 8 2003 Universal discretization. Zbl 06879964Temlyakov, V. N. 8 2018 Estimates of the asymptotic characteristics of classes of functions with bounded mixed derivative or difference. Zbl 0719.46021Temlyakov, V. N. 8 1990 Two lower estimates in greedy approximation. Zbl 1044.41010Livshitz, E. D.; Temlyakov, V. N. 8 2003 Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009DeVore, R. A.; Temlyakov, V. N. 8 1997 On the approximate reconstruction of periodic functions of several variables. Zbl 0597.41032Temlyakov, V. N. 7 1985 Estimate of approximate characteristics for classes of functions with bounded mixed derivative. Zbl 0878.46023Kashin, B. S.; Temlyakov, V. N. 7 1995 Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Zbl 1317.41019Temlyakov, Vladimir 7 2015 Entropy numbers and Marcinkiewicz-type discretization. Zbl 1469.41013Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. 7 2021 Approximation of functions with bounded mixed difference by trigonometric polynomials and diameters of some classes of functions. Zbl 0499.42002Temlyakov, V. N. 7 1982 On the approximation of periodic functions of several variables. Zbl 0599.41041Temlyakov, V. N. 7 1984 Estimates of best bilinear approximations of functions and approximation numbers of integral operators. Zbl 0795.41021Temlyakov, V. N. 7 1992 A criterion for convergence of weak greedy algorithms. Zbl 1128.41309Temlyakov, V. N. 7 2002 Constructive sparse trigonometric approximation for functions with small mixed smoothness. Zbl 1373.42009Temlyakov, V. 7 2017 Optimal estimators in learning theory. Zbl 1102.62039Temlyakov, V. N. 6 2006 Convergence of greedy approximation. I: General systems. Zbl 1050.46012Konyagin, S. V.; Temlyakov, V. N. 6 2003 Simultaneous approximation by greedy algorithms. Zbl 1096.41026Leviatan, D.; Temlyakov, V. N. 6 2006 Greedy expansions in Banach spaces. Zbl 1119.41034Temlyakov, V. N. 5 2007 Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N. 5 1994 An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42021Temlyakov, V. N. 5 1996 Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015Temlyakov, V.; Tikhonov, S. 5 2017 A remark on simultaneous greedy approximation. Zbl 1113.41026Temlyakov, V. N. 5 2004 On best bilinear approximations of periodic functions of several variables. Zbl 0624.41028Temlyakov, V. N. 5 1986 On two methods of generalization of properties of univariate function systems to their tensor product. Zbl 0924.41012Andrianov, A. V.; Temlyakov, V. N. 5 1997 Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions. Zbl 0608.42005Temlyakov, V. N. 5 1986 A unified way of analyzing some greedy algorithms. Zbl 1492.41014Dereventsov, A. V.; Temlyakov, V. N. 5 2019 Observations on discretization of trigonometric polynomials with given spectrum. Zbl 1430.42002Kashin, Boris S.; Temlyakov, Vladimir N. 4 2018 On a norm and approximate characteristics of classes of multivariable functions. Zbl 1167.26311Kashin, B. S.; Temlyakov, V. N. 4 2008 An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42020Temlyakov, V. N. 4 1996 Greedy algorithms with prescribed coefficients. Zbl 1123.41019Temlyakov, Vladimir 4 2007 Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness. Zbl 1482.41020Temlyakov, V.; Ullrich, T. 4 2021 On two problems in the multivariate approximation. Zbl 0933.41020Temlyakov, V. N. 4 1998 Bilinear approximation and related questions. Zbl 0802.41020Temlyakov, V. N. 4 1992 Approximation of functions with small mixed smoothness in the uniform norm. Zbl 1502.41007Temlyakov, Vladimir N.; Ullrich, Tino 3 2022 Sampling discretization and related problems. Zbl 07526476Kashin, B.; Kosov, E.; Limonova, I.; Temlyakov, V. 3 2022 On sampling discretization in \(L_2\). Zbl 1502.46020Limonova, I.; Temlyakov, V. 1 2022 On optimal recovery in \(L_2\). Zbl 1469.41009Temlyakov, V. 10 2021 Entropy numbers and Marcinkiewicz-type discretization. Zbl 1469.41013Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. 7 2021 Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness. Zbl 1482.41020Temlyakov, V.; Ullrich, T. 4 2021 Sampling discretization of integral norms of the hyperbolic cross polynomials. Zbl 1466.62331Temlyakov, V. N. 3 2021 Sampling discretization of integral norms. Zbl 1480.65060Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. 2 2021 Lebesgue-type inequalities in greedy approximation. Zbl 1458.41010Dilworth, S.; Garrigós, G.; Hernández, E.; Kutzarova, D.; Temlyakov, V. 1 2021 On the fixed volume discrepancy of the Fibonacci sets in the integral norms. Zbl 1460.65172Temlyakov, V. N.; Ullrich, Mario 1 2020 Integral norm discretization and related problems. Zbl 07179262Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. 17 2019 A unified way of analyzing some greedy algorithms. Zbl 1492.41014Dereventsov, A. V.; Temlyakov, V. N. 5 2019 Smooth fixed volume discrepancy, dispersion, and related problems. Zbl 1410.65073Temlyakov, V. N. 3 2019 Sampling discretization error of integral norms for function classes. Zbl 07107610Temlyakov, V. N. 3 2019 Connections between numerical integration, discrepancy, dispersion, and universal discretization. Zbl 07198662Temlyakov, Vladimir 2 2019 Multivariate approximation. Zbl 1428.41001Temlyakov, V. 34 2018 Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino 32 2018 The Marcinkiewicz-type discretization theorems. Zbl 1404.41012Temlyakov, V. N. 20 2018 Universal discretization. Zbl 06879964Temlyakov, V. N. 8 2018 Observations on discretization of trigonometric polynomials with given spectrum. Zbl 1430.42002Kashin, Boris S.; Temlyakov, Vladimir N. 4 2018 Weight-almost greedy bases. Zbl 1419.46013Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben 2 2018 On the entropy numbers of the mixed smoothness function classes. Zbl 1366.41019Temlyakov, V. 13 2017 The Marcinkiewicz-type discretization theorems for the hyperbolic cross. Zbl 1443.41019Temlyakov, V. N. 10 2017 Constructive sparse trigonometric approximation for functions with small mixed smoothness. Zbl 1373.42009Temlyakov, V. 7 2017 Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015Temlyakov, V.; Tikhonov, S. 5 2017 Convex optimization on Banach spaces. Zbl 1347.41032DeVore, R. A.; Temlyakov, V. N. 9 2016 Dictionary descent in optimization. Zbl 1374.41047Temlyakov, V. N. 4 2016 Incremental greedy algorithm and its applications in numerical integration. Zbl 1356.65088Temlyakov, Vladimir 3 2016 Convergence and rate of convergence of some greedy algorithms in convex optimization. Zbl 1355.90067Temlyakov, V. N. 2 2016 Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness. Zbl 1362.41009Temlyakov, V. N. 15 2015 Greedy approximation in convex optimization. Zbl 1317.41016Temlyakov, V. N. 11 2015 Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Zbl 1317.41019Temlyakov, Vladimir 7 2015 Nonlinear tensor product approximation of functions. Zbl 1332.41026Bazarkhanov, D.; Temlyakov, V. 4 2015 Greedy expansions in convex optimization. Zbl 1306.49052Temlyakov, V. N. 9 2014 Sparse approximation and recovery by greedy algorithms in Banach spaces. Zbl 1296.41030Temlyakov, V. N. 8 2014 Sparse approximation and recovery by greedy algorithms. Zbl 1360.94086Livshitz, Eugene D.; Temlyakov, Vladimir N. 4 2014 Incoherent systems and coverings in finite dimensional Banach spaces. Zbl 1317.52024Temlyakov, V. N. 1 2014 Optimal exponential bounds on the accuracy of classification. Zbl 1304.62056Kerkyacharian, G.; Tsybakov, A. B.; Temlyakov, V.; Picard, D.; Koltchinskii, V. 1 2014 An inequality for the entropy numbers and its application. Zbl 1283.41021Temlyakov, V. N. 10 2013 Lebesgue-type inequalities for greedy approximation in Banach spaces. Zbl 1364.41006Savu, Daniel; Temlyakov, Vladimir N. 3 2013 Greedy bases in \(L^p\) spaces. Zbl 1297.46013Kazarian, K.; Temlyakov, V. N. 2 2013 The \(L_2\) discrepancy of two-dimensional lattices. Zbl 1275.11111Bilyk, Dmitriy; Temlyakov, Vladimir N.; Yu, Rui 2 2013 Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N. 22 2012 The orthogonal super greedy algorithm and applications in compressed sensing. Zbl 1365.94180Liu, Entao; Temlyakov, Vladimir N. 16 2012 Fibonacci sets and symmetrization in discrepancy theory. Zbl 1257.11074Bilyk, Dmitriy; Temlyakov, V. N.; Yu, Rui 10 2012 Super greedy type algorithms. Zbl 1258.41013Liu, Entao; Temlyakov, Vladimir N. 2 2012 Greedy approximation. Zbl 1279.41001Temlyakov, Vladimir 78 2011 Greedy approximation with regard to non-greedy bases. Zbl 1217.41020Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin 25 2011 On performance of greedy algorithms. Zbl 1230.41005Temlyakov, Vladimir N.; Zheltov, Pavel 12 2011 Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases. Zbl 1234.41026Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin 9 2011 On the size of incoherent systems. Zbl 1242.41037Nelson, J. L.; Temlyakov, V. N. 8 2011 Greedy approximation. Zbl 1178.65050Temlyakov, V. N. 68 2008 Approximation in learning theory. Zbl 05264756Temlyakov, V. N. 15 2008 Relaxation in greedy approximation. Zbl 1167.41006Temlyakov, V. N. 9 2008 On a norm and approximate characteristics of classes of multivariable functions. Zbl 1167.26311Kashin, B. S.; Temlyakov, V. N. 4 2008 Weak convergence of greedy algorithms in Banach spaces. Zbl 1180.41030Dilworth, S. J.; Kutzarova, Denka; Shuman, Karen L.; Temlyakov, V. N.; Wojtaszczyk, P. 3 2008 The entropy in learning theory. Error estimates. Zbl 1101.62029Konyagin, S. V.; Temlyakov, V. N. 18 2007 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 17 2007 A remark on compressed sensing. Zbl 1155.94014Kashin, B. S.; Temlyakov, V. N. 15 2007 Greedy expansions in Banach spaces. Zbl 1119.41034Temlyakov, V. N. 5 2007 Greedy algorithms with prescribed coefficients. Zbl 1123.41019Temlyakov, Vladimir 4 2007 Greedy approximation in Banach spaces. Zbl 1139.41006Temlyakov, Vladimir 1 2007 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 203 2006 Approximation methods for supervised learning. Zbl 1146.62322DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir 39 2006 Optimal estimators in learning theory. Zbl 1102.62039Temlyakov, V. N. 6 2006 Simultaneous approximation by greedy algorithms. Zbl 1096.41026Leviatan, D.; Temlyakov, V. N. 6 2006 Greedy approximations. Zbl 1107.65306Temlyakov, V. N. 3 2006 On universal estimators in learning theory. Zbl 1351.68238Temlyakov, V. N. 3 2006 Greedy approximations with regard to bases. Zbl 1101.41019Temlyakov, Vladimir N. 3 2006 Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N. 23 2005 Greedy-type approximation in Banach spaces and applications. Zbl 1070.41018Temlyakov, V. N. 19 2005 Convergence of greedy approximation for the trigonometric system. Zbl 1083.42004Konyagin, S. V.; Temlyakov, V. N. 2 2005 Greedy algorithms with restricted depth search. Zbl 1148.41034Temlyakov, V. N. 1 2005 Simultaneous greedy approximation in Banach spaces. Zbl 1088.41019Leviatan, D.; Temlyakov, V. N. 1 2005 Greedy approximation and the multivariate Haar system. Zbl 1071.41032Kamont, A.; Temlyakov, V. N. 10 2004 A remark on simultaneous greedy approximation. Zbl 1113.41026Temlyakov, V. N. 5 2004 Nonlinear methods of approximation. Zbl 1039.41012Temlyakov, V. N. 92 2003 The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N. 64 2003 Cubature formulas, discrepancy, and nonlinear approximation. Zbl 1031.41016Temlyakov, V. N. 31 2003 Best basis selection for approximation in \(L_p\). Zbl 1067.41012DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir 11 2003 Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013Konyagin, S. V.; Temlyakov, V. N. 11 2003 The volume estimates and their applications. Zbl 1111.41019Kashin, B. S.; Temlyakov, V. N. 8 2003 Vector greedy algorithms. Zbl 1234.41024Lutoborski, Adam; Temlyakov, Vladimir N. 8 2003 Two lower estimates in greedy approximation. Zbl 1044.41010Livshitz, E. D.; Temlyakov, V. N. 8 2003 Convergence of greedy approximation. I: General systems. Zbl 1050.46012Konyagin, S. V.; Temlyakov, V. N. 6 2003 Greedy approximation with regard to bases and general minimal systems. Zbl 1040.41008Konyagin, S. V.; Temlyakov, V. N. 18 2002 Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N. 17 2002 Universal bases and greedy algorithms for anisotropic function classes. Zbl 1025.41009Temlyakov, V. N. 9 2002 A criterion for convergence of weak greedy algorithms. Zbl 1128.41309Temlyakov, V. N. 7 2002 Gridge approximation and Radon compass. Zbl 1041.41017Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N. 3 2002 Nonlinear approximation with regard to bases. Zbl 1054.41019Temlyakov, V. N. 1 2002 Greedy algorithms in Banach spaces. Zbl 0988.41022Temlyakov, V. N. 27 2001 On convergence of weak greedy algorithms. Zbl 1003.65011Livshitz, E. D.; Temlyakov, V. N. 3 2001 Weak greedy algorithms. Zbl 0964.65009Temlyakov, V. N. 67 2000 Greedy algorithms with regard to multivariate systems with special structure. Zbl 0962.41007Temlyakov, V. N. 18 2000 A remark on greedy approximation in Banach spaces. Zbl 1084.46509Konyagin, S. V.; Temlyakov, V. N. 104 1999 Greedy algorithms and \(M\)-term approximation with regard to redundant dictionaries. Zbl 0926.65050Temlyakov, V. N. 21 1999 Rate of convergence of pure greedy algorithm. Zbl 1101.41309Konyagin, S. V.; Temlyakov, V. N. 10 1999 The best \(m\)-term approximation and greedy algorithms. Zbl 0905.65063Temlyakov, V. N. 74 1998 Hyperbolic wavelet approximation. Zbl 0895.41016De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N. 44 1998 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,298 Authors 69 Temlyakov, Vladimir Nikolaevich 27 Ullrich, Tino 20 Dilworth, Stephen J. 20 Romanyuk, Anatolii Sergiiovych 20 Sickel, Winfried 18 Berná, Pablo Manuel 18 Dinh Dũng 17 Albiac, Fernando 17 Ansorena, José Luis 16 Ye, Peixin 15 Kutzarova, Denka N. 15 Qian, Tao 15 Ullrich, Mario 15 Wang, Heping 14 Griebel, Michael 13 Dai, Feng 13 Wojtaszczyk, Przemyslaw 12 Cohen, Albert 12 Hernandez, Eugenio 12 Kämmerer, Lutz 12 Novak, Erich 12 Stasyuk, Serhii A. 11 DeVore, Ronald A. 11 Gogyan, Smbat L. 10 Hinrichs, Aicke 10 Temirgaliev, Nurlan Temirgalievich 10 Tsybakov, Alexandre B. 10 Volkmer, Toni 9 Garrigós, Gustavo 9 Nguyen, Van Kien 8 Bazarkhanov, Daurenbek Bolysbekovich 8 Chen, Wengu 8 Dahmen, Wolfgang A. 8 Grigoryan, Martin Gevorgovich 8 Kashin, Boris Sergeevich 8 Kühn, Thomas 8 Nielsen, Morten 8 Nouy, Anthony 8 Potts, Daniel 8 Romanyuk, Viktor Sergiiovych 8 Vybíral, Jan 7 Fang, Gensun 7 Krieg, David 7 Oswald, Peter 7 Pereverzev, Sergei V. 7 Schlumprecht, Thomas 7 Tikhonov, Sergey Yur’evich 6 Akishev, Gabdolla Akishevich 6 Borodin, Petr A. 6 Dahlke, Stephan 6 Duan, Liqin 6 Lelièvre, Tony 6 Livshits, Evgeny Davidovich 6 Maggioni, Mauro 6 Oikhberg, Timur 6 Radomskiĭ, Artëm Olegovich 6 Xu, Zongben 5 Adcock, Ben 5 Berasategui, Miguel 5 Bilyk, Dmitry 5 Blasco, Oscar 5 de Natividade, Maria 5 Dick, Josef 5 Ehrlacher, Virginie 5 Elad, Michael 5 Galatenko, Vladimir V. 5 Ing, Ching-Kang 5 Konyagin, Sergeĭ Vladimirovich 5 Kutyniok, Gitta 5 Li, Peng 5 Liu, Youming 5 Malykhin, Yuriĭ Vyacheslavovich 5 Mixon, Dustin G. 5 Nobile, Fabio 5 Pillichshammer, Friedrich 5 Pozharska, Kateryna Vitaliivna 5 Prymak, Andriy V. 5 Schneider, Reinhold 5 Solich, Kateryna Vasylivna 5 Woźniakowski, Henryk 4 Bechler, Paweł 4 Byrenheid, Glenn 4 Cai, Tony Tony 4 Cordero, Elena 4 Dalalyan, Arnak S. 4 Dereventsov, A. V. 4 Dominguez, Oscar 4 Fadili, Jalal M. 4 Flad, Heinz-Jürgen 4 Fornasier, Massimo 4 Ge, HuanMin 4 Gribonval, Rémi 4 Haasdonk, Bernard 4 Hackbusch, Wolfgang 4 Iwen, Mark A. 4 Jiang, Tiefeng 4 Kerkyacharian, Gérard 4 Khoromskiĭ, Boris Nikolaevich 4 Kritzinger, Ralph 4 Kushpel, Alexander K. ...and 1,198 more Authors all top 5 Cited in 249 Serials 85 Journal of Complexity 78 Journal of Approximation Theory 60 Mathematical Notes 55 Ukrainian Mathematical Journal 50 Applied and Computational Harmonic Analysis 45 Constructive Approximation 28 Journal of Mathematical Analysis and Applications 25 The Annals of Statistics 24 Proceedings of the Steklov Institute of Mathematics 23 The Journal of Fourier Analysis and Applications 22 Foundations of Computational Mathematics 18 Advances in Computational Mathematics 15 Journal of Contemporary Mathematical Analysis. 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