Vladimir N. Temlyakov

Vladimir N. Temlyakov's AcademicInfluence.com Rankings

Mathematics

#7447

World Rank

#10124

Historical Rank

Applied Mathematics

#338

World Rank

#365

Historical Rank

Measure Theory

#2177

World Rank

#2622

Historical Rank

mathematics Degrees

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Mathematics

Vladimir N. Temlyakov's Degrees

PhD Mathematics Moscow State University

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Vladimir N. Temlyakov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Stable recovery of sparse overcomplete representations in the presence of noise (2006) (2270)
Some remarks on greedy algorithms (1996) (547)
Greedy approximation (2008) (368)
Nonlinear Methods of Approximation (2003) (292)
The Orthogonal Super Greedy Algorithm and Applications in Compressed Sensing (2012) (217)
Hyperbolic Cross Approximation (2016) (211)
The best m-term approximation and greedy algorithms (1998) (192)
Weak greedy algorithms[*]This research was supported by National Science Foundation Grant DMS 9970326 and by ONR Grant N00014‐96‐1‐1003. (2000) (187)
The Thresholding Greedy Algorithm, Greedy Bases, and Duality (2003) (153)
Hyperbolic Wavelet Approximation (1998) (152)
Greedy Algorithm and m -Term Trigonometric Approximation (1998) (101)
Nonlinear Approximation by Trigonometric Sums (1995) (99)
A remark on Compressed Sensing (2007) (95)
Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions (2005) (93)
Greedy Algorithms andM-Term Approximation with Regard to Redundant Dictionaries (1999) (84)
On Approximate Recovery of Functions with Bounded Mixed Derivative (1993) (79)
Approximation Methods for Supervised Learning (2006) (79)
Simultaneous approximation by greedy algorithms (2006) (72)
Cubature formulas, discrepancy, and nonlinear approximation (2003) (68)
APPROXIMATE RECOVERY OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES (1987) (64)
Greedy algorithms in Banach spaces (2001) (62)
ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE FORMULAS (1992) (51)
Greedy Approximation in Convex Optimization (2012) (49)
Greedy Approximation with Regard to Bases and General Minimal Systems (2002) (49)
An Inequality for Trigonometric Polynomials and Its Application for Estimating the Entropy Numbers (1995) (49)
On Lebesgue-type inequalities for greedy approximation (2007) (48)
Greedy Algorithms with Regard to Multivariate Systems with Special Structure (1997) (47)
The Marcinkiewicz-Type Discretization Theorems (2017) (47)
Integral norm discretization and related problems (2018) (42)
Approximation in Learning Theory (2008) (40)
Two Lower Estimates in Greedy Approximation (2001) (40)
Quasi-greedy Bases and Lebesgue-type Inequalities (2012) (40)
On bestm-term approximations and the entropy of sets in the spaceL1 (1994) (39)
On performance of greedy algorithms (2011) (38)
The Marcinkiewicz-type discretization theorems for the hyperbolic cross polynomials (2017) (35)
Vector greedy algorithms (2003) (34)
Convergence of Some Greedy Algorithms in Banach Spaces (2002) (33)
Mathematical Methods for Supervised Learning (2005) (32)
Nonlinear Kolmogorov widths (1998) (32)
Greedy-Type Approximation in Banach Spaces and Applications (2005) (32)
Sparse Approximation and Recovery by Greedy Algorithms (2013) (28)
Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness (2014) (28)
On the size of incoherent systems (2011) (27)
On optimal recovery in L2 (2021) (27)
On the entropy numbers of the mixed smoothness function classes (2016) (26)
Relaxation in Greedy Approximation (2008) (26)
Nonlinear Approximation in Finite-Dimensional Spaces (1997) (26)
The Entropy in Learning Theory. Error Estimates (2007) (26)
An inequality for the entropy numbers and its application (2013) (25)
Sampling Discretization of Integral Norms (2020) (23)
Constructive Sparse Trigonometric Approximation for Functions with Small Mixed Smoothness (2015) (23)
Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases (2011) (23)
SPARSE APPROXIMATION AND RECOVERY BY GREEDY ALGORITHMS IN BANACH SPACES (2013) (22)
Greedy expansions in convex optimization (2012) (22)
Best Basis Selection for Approximation in Lp (2003) (22)
Greedy approximation with regard to non-greedy bases (2011) (22)
Universal discretization (2017) (22)
Convergence of greedy approximation II. The trigonometric system (2003) (22)
Multivariate Approximation (2018) (22)
Fibonacci sets and symmetrization in discrepancy theory (2012) (21)
Convex Optimization on Banach Spaces (2014) (21)
Some inequalities for the tensor product of greedy basis and weight-greedy bases (2006) (21)
Approximation of Periodic Functions of Several Variables by Trigonometric Polynomials, and Widths of Some Classes of Functions (1986) (21)
A Criterion for Convergence of Weak Greedy Algorithms (2002) (21)
Universal bases and greedy algorithms for anisotropic function classes (2002) (21)
Greedy approximation and the multivariate Haar system (2004) (21)
On sampling discretization in L2 (2022) (21)
A remark on simultaneous greedy approximation (2004) (21)
Sparse Approximation with Bases (2015) (20)
On Convergence of Weak Greedy Algorithms (2000) (20)
ESTIMATES OF THE BEST BILINEAR APPROXIMATIONS OF FUNCTIONS OF TWO VARIABLES AND SOME OF THEIR APPLICATIONS (1989) (20)
Sampling discretization and related problems (2021) (19)
APPROXIMATION OF FUNCTIONS WITH A BOUNDED MIXED DIFFERENCE BY TRIGONOMETRIC POLYNOMIALS, AND THE WIDTHS OF SOME CLASSES OF FUNCTIONS (1983) (18)
On a certain norm and related applications (1998) (18)
Convergence of greedy approximation I. General systems (2003) (18)
Approximation by elements of a finite-dimensional subspace of functions from various sobolev or nikol'skii spaces (1988) (17)
Optimal estimators in learning theory (2006) (17)
The Volume Estimates and Their Applications (2003) (16)
Estimates of best bilinear approximations of functions and approximation numbers of integral operators (1992) (15)
On Two Problems in the Multivariate Approximation (1997) (15)
Entropy numbers and Marcinkiewicz-type discretization theorem (2020) (15)
Approximation of functions with small mixed smoothness in the uniform norm (2020) (15)
Weak Convergence of Greedy Algorithms in Banach Spaces (2008) (15)
Greedy algorithms and applications (1997) (15)
Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness (2020) (15)
Greedy expansions in Banach spaces (2007) (15)
Observations on discretization of trigonometric polynomials with given spectrum (2018) (14)
Simultaneous greedy approximation in Banach spaces (2005) (14)
On a norm and approximate characteristics of classes of multivariable functions (2008) (13)
Estimate of approximate characteristics for classes of functions with bounded mixed derivative (1995) (13)
Super greedy type algorithms (2010) (12)
Entropy numbers and Marcinkiewicz-type discretization (2021) (12)
Chebushev Greedy Algorithm in convex optimization (2013) (12)
APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY BILINEAR FORMS (1987) (11)
Dispersion of the Fibonacci and the Frolov point sets (2017) (11)
Greedy approximations with regard to bases (2006) (11)
Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials (2017) (10)
Cubature Formulas and Related Questions (2002) (10)
Greedy algorithms in convex optimization on Banach spaces (2014) (9)
Nonlinear tensor product approximation of functions (2014) (9)
Gridge Approximation and Radon Compass (2000) (9)
A unified way of analyzing some greedy algorithms (2018) (8)
Incremental Greedy Algorithm and Its Applications in Numerical Integration (2014) (8)
On sampling discretization in L 2 . (2020) (8)
Greedy Algorithms with Prescribed Coefficients (2007) (8)
Approximation of functions from the Lipschitz class by algebraic polynomials (1981) (7)
Weight-Almost Greedy Bases (2018) (7)
The L2 Discrepancy of Two-Dimensional Lattices (2012) (7)
Sampling discretization error of integral norms for function classes (2019) (7)
Dictionary descent in optimization (2015) (7)
Approximation of functions of several variables by trigonometric polynomials with harmonics from hyperbolic crosses (1989) (7)
Foundations of Computational Mathematics, Santander 2005: Greedy Approximations (2006) (7)
Error estimates of quadrature formulas for classes of functions with bounded mixed derivative (1989) (7)
On universal estimators in learning theory (2006) (7)
Sampling Discretization of Integral Norms and Its Application (2021) (6)
Convergence of greedy approximation for the trigonometric system (2005) (6)
Sampling Discretization of Integral Norms of the Hyperbolic Cross Polynomials (2020) (6)
On optimal recovery in L 2 . (2020) (6)
Fixed Volume Discrepancy in the Periodic Case (2017) (6)
Greedy bases in Lp spaces (2013) (6)
BRIEF COMMUNICATIONS: Quadrature formulae and recovery of number-theoretical nets from nodal values for classes of functions with small degree of smoothness (1985) (6)
Greedy approximation in Banach spaces (2007) (5)
Greedy Type Algorithms in Banach Spaces and Applications (2002) (5)
Smooth fixed volume discrepancy, dispersion, and related problems (2019) (5)
Connections between numerical integration, discrepancy, dispersion, and universal discretization (2018) (4)
Lebesgue-Type Inequalities for Greedy Approximation in Banach Spaces (2013) (4)
Universal sampling discretization (2021) (4)
Remez-type inequalities for the hyperbolic cross polynomials (2016) (4)
On the fixed volume discrepancy of the Fibonacci sets in the integral norms (2019) (3)
Sparse approximation of individual functions (2019) (3)
Aspects of 2D-Adaptive Fourier Decompositions (2017) (3)
Convergence and rate of convergence of some greedy algorithms in convex optimization (2014) (3)
On estimates of approximation numbers and best bilinear approximation (1992) (3)
Remarks on numerical integration, discrepancy, and diaphony (2017) (3)
A remark on covering (2013) (3)
Optimal Exponential Bounds on the Accuracy of Classification (2014) (3)
Sampling Discretization of the Uniform Norm (2021) (3)
A remark on entropy numbers (2020) (2)
Universality of the fibonacci cubature formulas (1993) (2)
Incoherent systems and coverings in finite dimensional Banach spaces (2014) (2)
Random points are good for universal discretization (2023) (2)
Convergence of multiple fourier series for functions of bounded variation (1997) (1)
How Young We Were (2012) (1)
Relations between best approximations of functions of two variables (1981) (1)
Biorthogonal greedy algorithms in convex optimization (2020) (1)
Order of growth of the degrees of a polynomial basis of a space of continuous functions (1977) (1)
On cardinality of the lower sets and universal discretization (2022) (1)
On the rate of convergence of greedy algorithms (2023) (1)
Universal discretization and sparse sampling recovery (2023) (1)
Constructive Sparse Trigonometric Approximation for Functions with Small Mixed Smoothness (2016) (1)
Sampling discretization error for function classes (2018) (1)
Numerical integration without smoothness assumption (2020) (1)
A remark on discretization of the uniform norm (2021) (1)
ON ORDERS OF APPROXIMATION FUNCTIONS OF GENERALIZED SMOOTHNES IN LORENTZ SPACES (2018) (0)
Some improved bounds in sampling discretization of integral norms (2022) (0)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS Best Basis Selection for Approximation in L p (2003) (0)
N A ] 7 M ay 2 01 9 Integral norm discretization and related problems (0)
APPROXIMATION BY A "FLOATING" SYSTEM OF EXPONENTIALS ON CLASSES OF SMOOTH PERIODIC (2017) (0)
Almost Greedy Bases and Duality (2015) (0)
FA ] 2 2 Se p 20 20 On sampling discretization in L 2 (2020) (0)
Greedy Approximation with Respect to the Trigonometric System (2015) (0)
Greedy bases in Lp spaces (2013) (0)
Super greedy type algorithms and applications in compressed sensing (2011) (0)
On the fixed volume discrepancy of the Korobov point sets (2020) (0)
Best m-Term Approximation (2018) (0)
THE VOLUME ESTIMATES AND THEIR APPLICATIONS 1 B (0)
Dictionary descent in optimization (2016) (0)
Weight-Almost Greedy Bases (2018) (0)
Rate of convergence of Thresholding Greedy Algorithms (2023) (0)
Greedy Approximation in Convex Optimization (2015) (0)
Hilbert spaces of vector-valued functions generated by quadratic forms (2013) (0)
Convergence and rate of convergence of some greedy algorithms in convex optimization (2016) (0)
N A ] 2 1 M ay 2 01 9 Integral norm discretization and related problems (0)
Approximation in compressed sensing (2011) (0)
CONVERGENCE OF GREEDY APPROXIMATION WITH REGARD TO THE TRIGONOMETRIC SYSTEM (2008) (0)
High-Dimensional Approximation (2018) (0)
The Marcinkiewicz-Type Discretization Theorems (2018) (0)
Sampling Discretization of Integral Norms of the Hyperbolic Cross Polynomials (2021) (0)
Super greedy type algorithms (2011) (0)
Function Spaces on \( \mathbb{T}^d\) (2018) (0)
On universal sampling representation (2022) (0)
Greedy Approximation: Approximation in learning theory (2011) (0)
Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials (2017) (0)
Mikhail Konstantinovich Potapov (2021) (0)
Greedy sparse approximation in Banach spaces (2014) (0)
ON TWO PROBLEMS IN THE MULTIVARIATE APPROXIMATION 1 (2007) (0)
FA ] 3 0 Se p 20 19 LEBESGUE-TYPE INEQUALITIES IN GREEDY APPROXIMATION (2019) (0)
On uniqueness of the polynomial of best approximation of the function cos kx by trigonometric polynomials in the L metric (1974) (0)
Greedy expansions in Hilbert spaces (2013) (0)
Sergei Aleksandrovich Telyakovskii (on his sixtieth birthday) (1994) (0)
ANNOUNCEMENT: 2000 Best Paper Award Committee (2000) (0)
On best methods of integration and of recovery of functions on classes given by convolutions (2017) (0)
Sparse approximation by greedy algorithms (2015) (0)
N A ] 3 0 O ct 2 01 7 Fixed volume discrepancy in the periodic case (2018) (0)
Greedy approximation with respect to dictionaries: Banach spaces (2011) (0)
Lebesgue-type Inequalities for Greedy Approximation with Respect to Some Classical Bases (2015) (0)
The role of approximation and smoothness spaces in compression and noise removal (1994) (0)
Greedy approximation of characteristic functions (2010) (0)
Greedy Expansions in Banach Spaces (Preprint) (2003) (0)
Greedy approximation with respect to dictionaries: Hilbert spaces (2011) (0)
Convex Optimization on Banach Spaces (2015) (0)
Numerical Integration and Discrepancy Under Smoothness Assumption and Without It (2021) (0)
Greedy expansions in convex optimization (2014) (0)
Optimal Exponential Bounds on the Accuracy of Classification (2014) (0)
Greedy expansions in Hilbert spaces (2013) (0)
Greedy Approximation with Respect to Dictionaries (2015) (0)

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Vladimir N. Temlyakov's Academic­Influence.com Rankings

Vladimir N. Temlyakov's Degrees

Why Is Vladimir N. Temlyakov Influential?

Vladimir N. Temlyakov's Published Works

Published Works

Vladimir N. Temlyakov's AcademicInfluence.com Rankings