OOIR: Observatory of International Research

Papers

(The TQCC of Foundations of Computational Mathematics is 6. 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 2020-03-01 to 2024-03-01.)

Article	Citations
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity	28
Function Values Are Enough for $$L_2$$-Approximation	27
Topological Properties of the Set of Functions Generated by Neural Networks of Fixed Size	27
A Unifying Representer Theorem for Inverse Problems and Machine Learning	25
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	23
Kurdyka–Łojasiewicz Exponent via Inf-projection	17
Complexes from Complexes	17
A New Upper Bound for Sampling Numbers	17
Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence	17
Zeroth-Order Nonconvex Stochastic Optimization: Handling Constraints, High Dimensionality, and Saddle Points	16
A Variational Finite Element Discretization of Compressible Flow	13
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	13
A Neural Network-Based Policy Iteration Algorithm with Global $$H^2$$-Superlinear Convergence for Stochastic Games on Domains	12
Primal Dual Methods for Wasserstein Gradient Flows	12
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	11
On the Complexity Exponent of Polynomial System Solving	11
Optimal Stable Nonlinear Approximation	11
Newton Polytopes and Relative Entropy Optimization	11
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	11
Convergence Rates for Discretized Monge–Ampère Equations and Quantitative Stability of Optimal Transport	10
Primary Ideals and Their Differential Equations	10
Causal Structure Learning: A Combinatorial Perspective	10
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	9
Wilkinson’s Bus: Weak Condition Numbers, with an Application to Singular Polynomial Eigenproblems	9
Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables	9

Data Analysis from Empirical Moments and the Christoffel Function	9
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime	8
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization	8
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems	8
Finite Element Systems for Vector Bundles: Elasticity and Curvature	8
A Simple Nearly Optimal Restart Scheme For Speeding Up First-Order Methods	8
Analysis of Tensor Approximation Schemes for Continuous Functions	7
Low-Degree Approximation of Random Polynomials	7
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	7
Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Transparent Boundary Conditions	7
A Framework for Differential Calculus on Persistence Barcodes	7
Convergence of Adaptive Discontinuous Galerkin and $$C^0$$-Interior Penalty Finite Element Methods for Hamilton–Jacobi–Bellman and Isaacs Equations	7
Towards Massively Parallel Computations in Algebraic Geometry	7
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds	7
Do Log Factors Matter? On Optimal Wavelet Approximation and the Foundations of Compressed Sensing	6
Computing the Sound of the Sea in a Seashell	6
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	6
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	6
Weak Convergence Rates for Euler-Type Approximations of Semilinear Stochastic Evolution Equations with Nonlinear Diffusion Coefficients	6
Constraint-Preserving Hybrid Finite Element Methods for Maxwell’s Equations	6
A New Technique for Preserving Conservation Laws	6
Homological Algebra for Persistence Modules	6
The Grassmannian of affine subspaces	6
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	6
Spectral Graph Matching and Regularized Quadratic Relaxations II	6
Potential Singularity of the 3D Euler Equations in the Interior Domain	6
Euclidean Distance Degree and Mixed Volume	6