Constructive Approximation

Papers
(The TQCC of Constructive Approximation is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ Networks70
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs56
Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series49
DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing37
Approximation Spaces of Deep Neural Networks31
The Barron Space and the Flow-Induced Function Spaces for Neural Network Models25
Universal Approximations of Invariant Maps by Neural Networks23
Exponential ReLU DNN Expression of Holomorphic Maps in High Dimension22
Worst-case Recovery Guarantees for Least Squares Approximation Using Random Samples19
Sampling Discretization of Integral Norms16
Wiener Algebras and Trigonometric Series in a Coordinated Fashion10
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy10
Semi-algebraic Approximation Using Christoffel–Darboux Kernel9
Approximation to uniform distribution in $$\mathrm {SO}(3)$$8
Strong Partially Greedy Bases and Lebesgue-Type Inequalities7
On the Value-Distribution of Hurwitz Zeta-Functions with Algebraic Parameter7
Optimal Sampling and Christoffel Functions on General Domains7
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables6
Turán-Type Reverse Markov Inequalities for Polynomials with Restricted Zeros6
Sparse Approximation of Triangular Transports, Part II: The Infinite-Dimensional Case5
Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness5
Boundary Behavior of Optimal Polynomial Approximants5
Riesz Energy Problems with External Fields and Related Theory5
A Vector Equilibrium Problem for Symmetrically Located Point Charges on a Sphere5
Orthogonal Polynomials with Ultra-Exponential Weight Functions: An Explicit Solution to the Ditkin–Prudnikov Problem4
Large-Degree Asymptotics of Rational Painlevé-IV Solutions by the Isomonodromy Method4
Logarithmic Equilibrium on the Sphere in the Presence of Multiple Point Charges4
Characterization of the Variation Spaces Corresponding to Shallow Neural Networks4
Sampling Discretization of the Uniform Norm4
A Newman type bound for $$L_p[-1,1]$$-means of the logarithmic derivative of polynomials having all zeros on the unit circle4
Set-Valued $$\alpha $$-Fractal Functions4
Robust and Resource-Efficient Identification of Two Hidden Layer Neural Networks4
Bidemocratic Bases and Their Connections with Other Greedy-Type Bases4
Optimal Recovery from Inaccurate Data in Hilbert Spaces: Regularize, But What of the Parameter?3
Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case3
Hyperuniform Point Sets on Flat Tori: Deterministic and Probabilistic Aspects3
Gegenbauer and Other Planar Orthogonal Polynomials on an Ellipse in the Complex Plane3
Asymptotic Behaviour of Christoffel–Darboux Kernel Via Three-Term Recurrence Relation I3
Zero Distribution of Orthogonal Polynomials on a q-Lattice3
Min-Max Polarization for Certain Classes of Sharp Configurations on the Sphere3
Discrepancy of Minimal Riesz Energy Points3
Universal Sampling Discretization3
Fourier Interpolation with Zeros of Zeta and L-Functions3
Coconvex Approximation of Periodic Functions2
Variable Anisotropic Singular Integral Operators2
Phase Retrieval by Binary Questions: Which Complementary Subspace is Closer?2
Variable Besov Spaces Associated with Heat Kernels2
Stable Gabor Phase Retrieval in Gaussian Shift-Invariant Spaces via Biorthogonality2
Fast and Stable Approximation of Analytic Functions from Equispaced Samples via Polynomial Frames2
Fourier Multipliers on a Vector-Valued Function Space2
Constructive Approximation on Graded Meshes for the Integral Fractional Laplacian2
Neural Network Identifiability for a Family of Sigmoidal Nonlinearities2
Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension2
The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$2
Rational Minimax Iterations for Computing the Matrix pth Root2
A Lower Bound for the Logarithmic Energy on $$\mathbb {S}^2$$ and for the Green Energy on $$\mathbb {S}^n$$2
Distortion and Critical Values of the Finite Blaschke Product2
Universal Regular Conditional Distributions via Probabilistic Transformers2
Approximation of Wave Packets on the Real Line2
Discrete Self-adjoint Dirac Systems: Asymptotic Relations, Weyl Functions and Toeplitz Matrices2
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