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 Author ID: temlyakov.vladimir-n Published as: Temljakov, V. N.; Temlyakov, V.; Temlyakov, V. N.; Temlyakov, Vladimir; Temlyakov, Vladimir N. Homepage: http://imi.cas.sc.edu/people/vladimir-temlyakov/ External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate
 Documents Indexed: 188 Publications since 1974, including 7 Books
all top 5

#### Co-Authors

 125 single-authored 9 DeVore, Ronald A. 9 Konyagin, Sergeĭ Vladimirovich 8 Kashin, Boris Sergeevich 6 Dilworth, Stephen J. 5 Kutzarova, Denka N. 3 Livshitz, Eugene D. 2 Andrianov, Alexander V. 2 Bilyk, Dmitry 2 Donoho, David Leigh 2 Elad, Michael 2 Kazarian, Kazaros S. 2 Kerkyacharian, Gérard 2 Leviatan, Dany 2 Liu, Entao 2 Nelson, James L. 2 Picard, Dominique B. 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Tikhonov, Sergey Yur’evich 2 Yang, Mingrui 2 Ye, Peixin 2 Yu, Rui 1 Bazarkhanov, Daurenbek Bolysbekovich 1 Besov, Oleg Vladimirovich 1 Binev, Peter G. 1 Bochkarev, Sergei Viktorovich 1 Burusheva, L. Sh. 1 Cohen, Albert 1 Dahmen, Wolfgang A. 1 Dai, Feng 1 Dereventsov, A. V. 1 Dinh Dũng 1 Dzyadyk, Vladyslav Kyrylovych 1 Garrigós, Gustavo 1 Hernández, Enriqueta 1 Il’in, Vladimir Aleksandrovich 1 Kalton, Nigel John 1 Kamont, Anna 1 Kolchinskiĭ, Vladimir I’ich 1 Korneĭchuk, Nikolaĭ Pavlovich 1 Kudryavtsev, Lev Dmitrievich 1 Lutoborski, Adam 1 Maiorov, Vitaly E. 1 Malykhin, Yuriĭ Vyacheslavovich 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 Prymak, Andriy V. 1 Savu, Daniel 1 Shuman, Karen L. 1 Soto-Bajo, Moisés 1 Stechkin, Sergeĭ Borisovich 1 Tsybakov, Alexandre B. 1 Ullrich, Tino 1 Ul’yanov, Pëtr Lavrent’evich 1 Vladimirov, Vasiliĭ Sergeevich 1 Volkov, Evgeniĭ Alekseevich 1 Wallis, Ben 1 Wojtaszczyk, Przemyslaw 1 Zheltov, Pavel
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#### Serials

 16 Constructive Approximation 15 Proceedings of the Steklov Institute of Mathematics 14 Mathematical Notes 11 East Journal on Approximations 10 Soviet Mathematics. Doklady 10 Journal of Complexity 9 Advances in Computational Mathematics 8 Journal of Approximation Theory 7 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 6 Analysis Mathematica 5 Mathematics of the USSR, Sbornik 4 IEEE Transactions on Information Theory 4 Matematicheskie Zametki 4 Russian Mathematical Surveys 4 Studia Mathematica 4 Mathematics of the USSR. Izvestiya 4 The Journal of Fourier Analysis and Applications 4 Foundations of Computational Mathematics 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Journal of Functional Analysis 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Sbornik: Mathematics 2 Cambridge Monographs on Applied and Computational Mathematics 2 Advanced Courses in Mathematics – CRM Barcelona 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 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
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#### Fields

 154 Approximations and expansions (41-XX) 75 Harmonic analysis on Euclidean spaces (42-XX) 46 Functional analysis (46-XX) 36 Numerical analysis (65-XX) 9 Computer science (68-XX) 8 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 3 Number theory (11-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-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)

#### Citations contained in zbMATH

143 Publications have been cited 1,958 times in 940 Documents Cited by Year
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
2006
Approximation of periodic functions. Zbl 0899.41001
Temlyakov, V. N.
1993
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
1996
A remark on greedy approximation in Banach spaces. Zbl 1084.46509
Konyagin, S. V.; Temlyakov, V. N.
1999
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
2003
Greedy approximation. Zbl 1279.41001
2011
Approximation of functions with bounded mixed derivative. (Priblizhenie funktsij s ogranichennoj smeshannoj proizvodnoj). Zbl 0625.41028
Temlyakov, V. N.
1986
The best $$m$$-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
1998
Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
2008
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
2000
The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.
2003
Greedy algorithm and $$m$$-term trigonometric approximation. Zbl 0931.42002
Temlyakov, V. N.
1998
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
1998
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
2006
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
1995
Approximation of functions with a bounded mixed derivative. Transl. from the Russian by H. H. McFaden. Zbl 0668.41024
Temlyakov, V. N.
1989
On approximate recovery of functions with bounded mixed derivative. Zbl 0784.41027
Temlyakov, V. N.
1993
Cubature formulas, discrepancy, and nonlinear approximation. Zbl 1031.41016
Temlyakov, V. N.
2003
Greedy algorithms in Banach spaces. Zbl 0988.41022
Temlyakov, V. N.
2001
Reconstruction of periodic functions of several variables with respect to the values in the nodes of number-theoretic nets. Zbl 0621.41004
Temlyakov, V. N.
1986
On best $$m$$-term approximations and the entropy of sets in the space $$L^ 1$$. Zbl 0836.41008
Kashin, B. S.; Temlyakov, V. N.
1994
Greedy algorithms and $$M$$-term approximation with regard to redundant dictionaries. Zbl 0926.65050
Temlyakov, V. N.
1999
Greedy algorithms with regard to multivariate systems with special structure. Zbl 0962.41007
Temlyakov, V. N.
2000
Greedy approximation with regard to non-greedy bases. Zbl 1217.41020
Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin
2011
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
2007
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
2005
An inequality for trigonometric polynomials and its application for estimating the entropy numbers. Zbl 0830.42015
Temlyakov, V. N.
1995
Approximation in learning theory. Zbl 05264756
Temlyakov, V. N.
2008
Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032
Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N.
2012
Greedy-type approximation in Banach spaces and applications. Zbl 1070.41018
Temlyakov, V. N.
2005
Greedy approximation with regard to bases and general minimal systems. Zbl 1040.41008
Konyagin, S. V.; Temlyakov, V. N.
2002
Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021
Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N.
2002
Nonlinear $$m$$-term approximation with regard to the multivariate Haar system. Zbl 0978.41017
Temlyakov, V. N.
1998
A remark on compressed sensing. Zbl 1155.94014
Kashin, B. S.; Temlyakov, V. N.
2007
Approximate recovery of periodic functions of several variables. Zbl 0635.46025
Temlyakov, V. N.
1987
The orthogonal super greedy algorithm and applications in compressed sensing. Zbl 1365.94180
2012
The entropy in learning theory. Error estimates. Zbl 1101.62029
Konyagin, S. V.; Temlyakov, V. N.
2007
On performance of greedy algorithms. Zbl 1230.41005
2011
Nonlinear Kolmogorov widths. Zbl 0917.41016
Temlyakov, V. N.
1998
Multivariate approximation. Zbl 1428.41001
Temlyakov, V.
2018
Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness. Zbl 1362.41009
Temlyakov, V. N.
2015
Greedy approximation and the multivariate Haar system. Zbl 1071.41032
Kamont, A.; Temlyakov, V. N.
2004
Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013
Konyagin, S. V.; Temlyakov, V. N.
2003
On a certain norm and related applications. Zbl 0955.42002
Kashin, B. S.; Temlyakov, V. N.
1998
Estimates of the asymptotic characteristics of classes of functions with bounded mixed derivative or difference. Zbl 0719.46021
Temlyakov, V. N.
1990
Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001
Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino
2018
Relaxation in greedy approximation. Zbl 1167.41006
Temlyakov, V. N.
2008
Best basis selection for approximation in $$L_p$$. Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
2003
Universal bases and greedy algorithms for anisotropic function classes. Zbl 1025.41009
Temlyakov, V. N.
2002
Rate of convergence of pure greedy algorithm. Zbl 1101.41309
Konyagin, S. V.; Temlyakov, V. N.
1999
Estimates of the bilinear best approximations of periodic functions. Zbl 0678.41026
Temlyakov, V. N.
1988
Greedy approximation in convex optimization. Zbl 1317.41016
Temlyakov, V. N.
2015
On the size of incoherent systems. Zbl 1242.41037
Nelson, J. L.; Temlyakov, V. N.
2011
Vector greedy algorithms. Zbl 1234.41024
2003
Two lower estimates in greedy approximation. Zbl 1044.41010
Livshitz, E. D.; Temlyakov, V. N.
2003
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
1997
Some inequalities for multivariate Haar polynomials. Zbl 0845.41011
Temlyakov, V. N.
1995
Estimates of best bilinear approximations of functions and approximation numbers of integral operators. Zbl 0795.41021
Temlyakov, V. N.
1992
On a way of obtaining lower estimates for the errors of quadrature formulas. Zbl 0758.41032
Temlyakov, V. N.
1992
Greedy expansions in convex optimization. Zbl 1306.49052
Temlyakov, V. N.
2014
Sparse approximation and recovery by greedy algorithms in Banach spaces. Zbl 1296.41030
Temlyakov, V. N.
2014
Estimate of approximate characteristics for classes of functions with bounded mixed derivative. Zbl 0878.46023
Kashin, B. S.; Temlyakov, V. N.
1995
Error estimates for Fibonacci quadrature formulas for classes of functions with bounded mixed derivative. Zbl 0813.41023
Temlyakov, V. N.
1991
On the approximate reconstruction of periodic functions of several variables. Zbl 0597.41032
Temlyakov, V. N.
1985
On the approximation of periodic functions of several variables. Zbl 0599.41041
Temlyakov, V. N.
1984
Approximation of functions with bounded mixed difference by trigonometric polynomials and diameters of some classes of functions. Zbl 0499.42002
Temlyakov, V. N.
1982
The Marcinkiewicz-type discretization theorems. Zbl 1404.41012
Temlyakov, V. N.
2018
On the entropy numbers of the mixed smoothness function classes. Zbl 1366.41019
Temlyakov, V.
2017
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
2016
Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Zbl 1317.41019
2015
An inequality for the entropy numbers and its application. Zbl 1283.41021
Temlyakov, V. N.
2013
Fibonacci sets and symmetrization in discrepancy theory. Zbl 1257.11074
Bilyk, Dmitriy; Temlyakov, V. N.; Yu, Rui
2012
Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases. Zbl 1234.41026
Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin
2011
Simultaneous approximation by greedy algorithms. Zbl 1096.41026
Leviatan, D.; Temlyakov, V. N.
2006
Convergence of greedy approximation. I: General systems. Zbl 1050.46012
Konyagin, S. V.; Temlyakov, V. N.
2003
A criterion for convergence of weak greedy algorithms. Zbl 1128.41309
Temlyakov, V. N.
2002
Universal discretization. Zbl 06879964
Temlyakov, V. N.
2018
Constructive sparse trigonometric approximation for functions with small mixed smoothness. Zbl 1373.42009
Temlyakov, V.
2017
Optimal estimators in learning theory. Zbl 1102.62039
Temlyakov, V. N.
2006
The volume estimates and their applications. Zbl 1111.41019
Kashin, B. S.; Temlyakov, V. N.
2003
An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42021
Temlyakov, V. N.
1996
Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006
DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N.
1994
Bilinear approximation and related questions. Zbl 0802.41020
Temlyakov, V. N.
1992
On best bilinear approximations of periodic functions of several variables. Zbl 0624.41028
Temlyakov, V. N.
1986
Sparse approximation and recovery by greedy algorithms. Zbl 1360.94086
Livshitz, Eugene D.; Temlyakov, Vladimir N.
2014
A remark on simultaneous greedy approximation. Zbl 1113.41026
Temlyakov, V. N.
2004
On two problems in the multivariate approximation. Zbl 0933.41020
Temlyakov, V. N.
1998
Approximation of periodic functions of several variables by trigonometric polynomials, and widths of some classes of functions. Zbl 0608.42005
Temlyakov, V. N.
1986
Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015
Temlyakov, V.; Tikhonov, S.
2017
Nonlinear tensor product approximation of functions. Zbl 1332.41026
Bazarkhanov, D.; Temlyakov, V.
2015
Lebesgue-type inequalities for greedy approximation in Banach spaces. Zbl 1364.41006
2013
Weak convergence of greedy algorithms in Banach spaces. Zbl 1180.41030
Dilworth, S. J.; Kutzarova, Denka; Shuman, Karen L.; Temlyakov, V. N.; Wojtaszczyk, P.
2008
Greedy expansions in Banach spaces. Zbl 1119.41034
Temlyakov, V. N.
2007
On universal estimators in learning theory. Zbl 1351.68238
Temlyakov, V. N.
2006
Greedy approximations. Zbl 1107.65306
Temlyakov, V. N.
2006
On two methods of generalization of properties of univariate function systems to their tensor product. Zbl 0924.41012
Andrianov, A. V.; Temlyakov, V. N.
1997
An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42020
Temlyakov, V. N.
1996
On universal cubature formulas. Zbl 0748.41018
Temlyakov, V. N.
1991
Quadrature formulae and recovery of number-theoretical nets from nodal values for classes of functions with small degree of smoothness. Zbl 0633.41028
Temlyakov, V. N.
1985
Weight-almost greedy bases. Zbl 1419.46013
Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben
2018
Integral norm discretization and related problems. Zbl 07179262
Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu.
2019
A unified way of analyzing some greedy algorithms. Zbl 07118810
Dereventsov, A. V.; Temlyakov, V. N.
2019
Smooth fixed volume discrepancy, dispersion, and related problems. Zbl 1410.65073
Temlyakov, V. N.
2019
Multivariate approximation. Zbl 1428.41001
Temlyakov, V.
2018
Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001
Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino
2018
The Marcinkiewicz-type discretization theorems. Zbl 1404.41012
Temlyakov, V. N.
2018
Universal discretization. Zbl 06879964
Temlyakov, V. N.
2018
Weight-almost greedy bases. Zbl 1419.46013
Dilworth, S. J.; Kutzarova, Denka; Temlyakov, Vladimir; Wallis, Ben
2018
Observations on discretization of trigonometric polynomials with given spectrum. Zbl 1430.42002
Kashin, Boris S.; Temlyakov, Vladimir N.
2018
On the entropy numbers of the mixed smoothness function classes. Zbl 1366.41019
Temlyakov, V.
2017
Constructive sparse trigonometric approximation for functions with small mixed smoothness. Zbl 1373.42009
Temlyakov, V.
2017
Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015
Temlyakov, V.; Tikhonov, S.
2017
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
2016
Dictionary descent in optimization. Zbl 1374.41047
Temlyakov, V. N.
2016
Incremental greedy algorithm and its applications in numerical integration. Zbl 1356.65088
2016
Convergence and rate of convergence of some greedy algorithms in convex optimization. Zbl 1355.90067
Temlyakov, V. N.
2016
Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness. Zbl 1362.41009
Temlyakov, V. N.
2015
Greedy approximation in convex optimization. Zbl 1317.41016
Temlyakov, V. N.
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 1317.41019
2015
Nonlinear tensor product approximation of functions. Zbl 1332.41026
Bazarkhanov, D.; Temlyakov, V.
2015
Greedy expansions in convex optimization. Zbl 1306.49052
Temlyakov, V. N.
2014
Sparse approximation and recovery by greedy algorithms in Banach spaces. Zbl 1296.41030
Temlyakov, V. N.
2014
Sparse approximation and recovery by greedy algorithms. Zbl 1360.94086
Livshitz, Eugene D.; Temlyakov, Vladimir N.
2014
Incoherent systems and coverings in finite dimensional Banach spaces. Zbl 1317.52024
Temlyakov, V. N.
2014
An inequality for the entropy numbers and its application. Zbl 1283.41021
Temlyakov, V. N.
2013
Lebesgue-type inequalities for greedy approximation in Banach spaces. Zbl 1364.41006
2013
Greedy bases in $$L^p$$ spaces. Zbl 1297.46013
Kazarian, K.; Temlyakov, V. N.
2013
Quasi-greedy bases and Lebesgue-type inequalities. Zbl 1264.41032
Dilworth, S. J.; Soto-Bajo, M.; Temlyakov, V. N.
2012
The orthogonal super greedy algorithm and applications in compressed sensing. Zbl 1365.94180
2012
Fibonacci sets and symmetrization in discrepancy theory. Zbl 1257.11074
Bilyk, Dmitriy; Temlyakov, V. N.; Yu, Rui
2012
Super greedy type algorithms. Zbl 1258.41013
2012
Greedy approximation. Zbl 1279.41001
2011
Greedy approximation with regard to non-greedy bases. Zbl 1217.41020
Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin
2011
On performance of greedy algorithms. Zbl 1230.41005
2011
On the size of incoherent systems. Zbl 1242.41037
Nelson, J. L.; Temlyakov, V. N.
2011
Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases. Zbl 1234.41026
Temlyakov, V. N.; Yang, Mingrui; Ye, Peixin
2011
Greedy approximation. Zbl 1178.65050
Temlyakov, V. N.
2008
Approximation in learning theory. Zbl 05264756
Temlyakov, V. N.
2008
Relaxation in greedy approximation. Zbl 1167.41006
Temlyakov, V. N.
2008
Weak convergence of greedy algorithms in Banach spaces. Zbl 1180.41030
Dilworth, S. J.; Kutzarova, Denka; Shuman, Karen L.; Temlyakov, V. N.; Wojtaszczyk, P.
2008
On a norm and approximate characteristics of classes of multivariable functions. Zbl 1167.26311
Kashin, B. S.; Temlyakov, V. N.
2008
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
2007
A remark on compressed sensing. Zbl 1155.94014
Kashin, B. S.; Temlyakov, V. N.
2007
The entropy in learning theory. Error estimates. Zbl 1101.62029
Konyagin, S. V.; Temlyakov, V. N.
2007
Greedy expansions in Banach spaces. Zbl 1119.41034
Temlyakov, V. N.
2007
Greedy algorithms with prescribed coefficients. Zbl 1123.41019
2007
Greedy approximation in Banach spaces. Zbl 1139.41006
2007
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
2006
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
2006
Simultaneous approximation by greedy algorithms. Zbl 1096.41026
Leviatan, D.; Temlyakov, V. N.
2006
Optimal estimators in learning theory. Zbl 1102.62039
Temlyakov, V. N.
2006
On universal estimators in learning theory. Zbl 1351.68238
Temlyakov, V. N.
2006
Greedy approximations. Zbl 1107.65306
Temlyakov, V. N.
2006
Greedy approximations with regard to bases. Zbl 1101.41019
2006
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
2005
Greedy-type approximation in Banach spaces and applications. Zbl 1070.41018
Temlyakov, V. N.
2005
Greedy algorithms with restricted depth search. Zbl 1148.41034
Temlyakov, V. N.
2005
Convergence of greedy approximation for the trigonometric system. Zbl 1083.42004
Konyagin, S. V.; Temlyakov, V. N.
2005
Greedy approximation and the multivariate Haar system. Zbl 1071.41032
Kamont, A.; Temlyakov, V. N.
2004
A remark on simultaneous greedy approximation. Zbl 1113.41026
Temlyakov, V. N.
2004
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
2003
The thresholding greedy algorithm, greedy bases, and duality. Zbl 1050.46011
Dilworth, S. J.; Kalton, N. J.; Kutzarova, Denka; Temlyakov, V. N.
2003
Cubature formulas, discrepancy, and nonlinear approximation. Zbl 1031.41016
Temlyakov, V. N.
2003
Convergence of greedy approximation. II: The trigonometric system. Zbl 1095.42013
Konyagin, S. V.; Temlyakov, V. N.
2003
Best basis selection for approximation in $$L_p$$. Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
2003
Vector greedy algorithms. Zbl 1234.41024
2003
Two lower estimates in greedy approximation. Zbl 1044.41010
Livshitz, E. D.; Temlyakov, V. N.
2003
Convergence of greedy approximation. I: General systems. Zbl 1050.46012
Konyagin, S. V.; Temlyakov, V. N.
2003
The volume estimates and their applications. Zbl 1111.41019
Kashin, B. S.; Temlyakov, V. N.
2003
Greedy approximation with regard to bases and general minimal systems. Zbl 1040.41008
Konyagin, S. V.; Temlyakov, V. N.
2002
Convergence of some greedy algorithms in Banach spaces. Zbl 1025.41021
Dilworth, S. J.; Kutzarova, Denka; Temlyakov, V. N.
2002
Universal bases and greedy algorithms for anisotropic function classes. Zbl 1025.41009
Temlyakov, V. N.
2002
A criterion for convergence of weak greedy algorithms. Zbl 1128.41309
Temlyakov, V. N.
2002
Gridge approximation and Radon compass. Zbl 1041.41017
Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N.
2002
Nonlinear approximation with regard to bases. Zbl 1054.41019
Temlyakov, V. N.
2002
Greedy algorithms in Banach spaces. Zbl 0988.41022
Temlyakov, V. N.
2001
On convergence of weak greedy algorithms. Zbl 1003.65011
Livshitz, E. D.; Temlyakov, V. N.
2001
Weak greedy algorithms. Zbl 0964.65009
Temlyakov, V. N.
2000
Greedy algorithms with regard to multivariate systems with special structure. Zbl 0962.41007
Temlyakov, V. N.
2000
A remark on greedy approximation in Banach spaces. Zbl 1084.46509
Konyagin, S. V.; Temlyakov, V. N.
1999
Greedy algorithms and $$M$$-term approximation with regard to redundant dictionaries. Zbl 0926.65050
Temlyakov, V. N.
1999
Rate of convergence of pure greedy algorithm. Zbl 1101.41309
Konyagin, S. V.; Temlyakov, V. N.
1999
The best $$m$$-term approximation and greedy algorithms. Zbl 0905.65063
Temlyakov, V. N.
1998
Greedy algorithm and $$m$$-term trigonometric approximation. Zbl 0931.42002
Temlyakov, V. N.
1998
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
1998
Nonlinear $$m$$-term approximation with regard to the multivariate Haar system. Zbl 0978.41017
Temlyakov, V. N.
1998
Nonlinear Kolmogorov widths. Zbl 0917.41016
Temlyakov, V. N.
1998
On a certain norm and related applications. Zbl 0955.42002
Kashin, B. S.; Temlyakov, V. N.
1998
On two problems in the multivariate approximation. Zbl 0933.41020
Temlyakov, V. N.
1998
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
1997
On two methods of generalization of properties of univariate function systems to their tensor product. Zbl 0924.41012
Andrianov, A. V.; Temlyakov, V. N.
1997
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
1996
An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42021
Temlyakov, V. N.
1996
An inequality for trigonometric polynomials and its application for estimating the Kolmogorov widths. Zbl 0853.42020
Temlyakov, V. N.
1996
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
1995
An inequality for trigonometric polynomials and its application for estimating the entropy numbers. Zbl 0830.42015
Temlyakov, V. N.
1995
Some inequalities for multivariate Haar polynomials. Zbl 0845.41011
Temlyakov, V. N.
1995
Estimate of approximate characteristics for classes of functions with bounded mixed derivative. Zbl 0878.46023
Kashin, B. S.; Temlyakov, V. N.
1995
On best $$m$$-term approximations and the entropy of sets in the space $$L^ 1$$. Zbl 0836.41008
Kashin, B. S.; Temlyakov, V. N.
1994
Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006
DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N.
1994
...and 43 more Documents
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#### Cited by 1,095 Authors

 55 Temlyakov, Vladimir Nikolaevich 20 Dilworth, Stephen J. 18 Dinh Dũng 18 Sickel, Winfried 17 Ullrich, Tino 15 Kutzarova, Denka N. 15 Romanyuk, A. S. 14 Wang, Heping 13 Griebel, Michael 13 Qian, Tao 11 DeVore, Ronald A. 11 Gogyan, Smbat L. 11 Ye, Peixin 10 Albiac, Fernando 10 Berná, Pablo Manuel 10 Hernández, Eugenio 10 Novak, Erich 10 Stasyuk, Sergej Andreevich 10 Temirgaliev, Nurlan Temirgalievich 10 Ullrich, Mario 10 Wojtaszczyk, Przemyslaw 9 Ansorena, José Luis 9 Cohen, Albert 8 Bazarkhanov, Daurenbek Bolysbekovich 8 Garrigós, Gustavo 8 Grigoryan, Martin Gevorgovich 8 Kämmerer, Lutz 8 Kühn, Thomas 8 Nguyen, Van Kien 8 Nielsen, Morten 8 Tsybakov, Alexandre B. 7 Dahmen, Wolfgang A. 7 Dai, Feng 7 Fang, Gensun 7 Hinrichs, Aicke 7 Kashin, Boris Sergeevich 7 Pereverzev, Sergei V. 7 Schlumprecht, Thomas 7 Vybíral, Jan 6 Akishev, Gabdolla Akishevich 6 Dahlke, Stephan 6 Duan, Liqin 6 Livshits, Evgeny Davidovich 6 Oikhberg, Timur 6 Oswald, Peter 6 Potts, Daniel 6 Radomskiĭ, Artëm Olegovich 6 Romanyuk, V. S. 6 Xu, Yuesheng 6 Xu, Zongben 5 Bilyk, Dmitry 5 Blasco, Oscar 5 de Natividade, Maria 5 Dick, Josef 5 Elad, Michael 5 Ing, Ching-Kang 5 Jiang, Ying 5 Khoromskij, Boris N. 5 Lelièvre, Tony 5 Liu, Youming 5 Nobile, Fabio 5 Nouy, Anthony 5 Schneider, Reinhold 5 Solich, Kateryna Vasylivna 5 Volkmer, Toni 5 Woźniakowski, Henryk 4 Adcock, Ben 4 Bechler, Paweł 4 Byrenheid, Glenn 4 Chen, Wengu 4 Chesneau, Christophe 4 Ehrlacher, Virginie 4 Fadili, Jalal M. 4 Galatenko, Vladimir V. 4 Hackbusch, Wolfgang 4 Kerkyacharian, Gérard 4 Konyagin, Sergeĭ Vladimirovich 4 Kutyniok, Gitta 4 Leviatan, Dany 4 Li, Song 4 Lin, Shaobo 4 Maiorov, Vitaly E. 4 Mi, Wen 4 Migliorati, Giovanni 4 Mixon, Dustin G. 4 Myronyuk, V. V. 4 Odell, Edward 4 Petrova, Guergana 4 Picard, Dominique B. 4 Pillichshammer, Friedrich 4 Rauhut, Holger 4 Ritter, Klaus 4 Tikhonov, Sergey Yur’evich 4 Uschmajew, André 4 Vasil’eva, Anastasiya Andreevna 4 Wasilkowski, Grzegorz W. 4 Zsák, András 3 Autin, Florent 3 Baker, Nathan A. 3 Balgimbayeva, Sholpan A. ...and 995 more Authors
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#### Cited in 212 Serials

 70 Journal of Complexity 69 Journal of Approximation Theory 52 Mathematical Notes 48 Ukrainian Mathematical Journal 46 Applied and Computational Harmonic Analysis 38 Constructive Approximation 23 Journal of Mathematical Analysis and Applications 22 The Annals of Statistics 19 Proceedings of the Steklov Institute of Mathematics 18 The Journal of Fourier Analysis and Applications 17 Foundations of Computational Mathematics 15 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 15 Advances in Computational Mathematics 11 Numerische Mathematik 10 Journal of Mathematical Sciences (New York) 10 Electronic Journal of Statistics 9 Analysis Mathematica 9 Russian Mathematics 8 Journal of Computational Physics 8 Mathematics of Computation 8 Journal of Computational and Applied Mathematics 8 Journal of Functional Analysis 8 Signal Processing 8 Linear Algebra and its Applications 8 International Journal of Wavelets, Multiresolution and Information Processing 8 Science China. Mathematics 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Proceedings of the American Mathematical Society 6 SIAM Journal on Numerical Analysis 6 Siberian Mathematical Journal 6 Acta Mathematica Sinica. English Series 5 Applied Mathematics and Computation 5 Circuits, Systems, and Signal Processing 5 SIAM Journal on Scientific Computing 5 Doklady Mathematics 5 Revista Matemática Complutense 4 Automatica 4 Monatshefte für Mathematik 4 Transactions of the American Mathematical Society 4 Mathematical Programming. Series A. Series B 4 Bernoulli 4 Mathematical Problems in Engineering 4 Journal of Machine Learning Research (JMLR) 4 Multiscale Modeling & Simulation 4 Inverse Problems and Imaging 4 SIAM Journal on Imaging Sciences 3 Inverse Problems 3 Computing 3 Journal of Econometrics 3 Journal of Multivariate Analysis 3 Mathematische Nachrichten 3 Mathematics of Operations Research 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Statistics & Probability Letters 3 Applied Numerical Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Scientific Computing 3 Science in China. Series A 3 Neural Computation 3 Journal of Global Optimization 3 Numerical Algorithms 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Mathematical Imaging and Vision 3 Computational Optimization and Applications 3 Izvestiya: Mathematics 3 Abstract and Applied Analysis 3 Archives of Computational Methods in Engineering 3 Science China. Information Sciences 3 Forum of Mathematics, Sigma 2 Computer Methods in Applied Mechanics and Engineering 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Moscow University Mathematics Bulletin 2 Rocky Mountain Journal of Mathematics 2 BIT 2 Calcolo 2 Duke Mathematical Journal 2 Journal of the American Statistical Association 2 Journal of Computer and System Sciences 2 Journal of Number Theory 2 Journal of Statistical Planning and Inference 2 Mathematika 2 Acta Mathematica Hungarica 2 Probability Theory and Related Fields 2 Sequential Analysis 2 Machine Learning 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 Communications in Statistics. Simulation and Computation 2 SIAM Review 2 Computational Statistics and Data Analysis 2 Russian Journal of Mathematical Physics 2 Mathematical Methods of Statistics 2 Sbornik: Mathematics 2 Journal of the Royal Statistical Society. Series B. Statistical Methodology 2 Econometric Theory ...and 112 more Serials
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#### Cited in 45 Fields

 371 Approximations and expansions (41-XX) 298 Numerical analysis (65-XX) 254 Harmonic analysis on Euclidean spaces (42-XX) 182 Functional analysis (46-XX) 140 Information and communication theory, circuits (94-XX) 119 Statistics (62-XX) 81 Computer science (68-XX) 59 Operations research, mathematical programming (90-XX) 52 Operator theory (47-XX) 45 Probability theory and stochastic processes (60-XX) 42 Partial differential equations (35-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 29 Number theory (11-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Real functions (26-XX) 14 Systems theory; control (93-XX) 12 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 10 Integral equations (45-XX) 10 Quantum theory (81-XX) 10 Biology and other natural sciences (92-XX) 9 Functions of a complex variable (30-XX) 7 Abstract harmonic analysis (43-XX) 7 Fluid mechanics (76-XX) 5 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)