Vladimir N. Temlyakov
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Vladimir N. Temlyakovmathematics Degrees
Mathematics
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Applied Mathematics
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Measure Theory
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Mathematics
Vladimir N. Temlyakov's Degrees
- PhD Mathematics Moscow State University
Why Is Vladimir N. Temlyakov Influential?
(Suggest an Edit or Addition)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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