OOIR: Observatory of International Research

Papers

(The H4-Index of Constructive Approximation is 12. 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 2020-11-01 to 2024-11-01.)

Article	Citations
Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ Networks	91
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs	65
Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series	51
DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing	42
Approximation Spaces of Deep Neural Networks	35
The Barron Space and the Flow-Induced Function Spaces for Neural Network Models	35
Exponential ReLU DNN Expression of Holomorphic Maps in High Dimension	28
Universal Approximations of Invariant Maps by Neural Networks	27
Worst-case Recovery Guarantees for Least Squares Approximation Using Random Samples	24
Sampling Discretization of Integral Norms	16
Semi-algebraic Approximation Using Christoffel–Darboux Kernel	14
Analysis of Target Data-Dependent Greedy Kernel Algorithms: Convergence Rates for f-, $$f \cdot P$$- and f/P-Greedy	13