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 2020-05-01 to 2024-05-01.)

Article	Citations
Function Values Are Enough for $$L_2$$-Approximation	29
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity	29
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	29
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	26
Complexes from Complexes	22
Kurdyka–Łojasiewicz Exponent via Inf-projection	19
A New Upper Bound for Sampling Numbers	19
Zeroth-Order Nonconvex Stochastic Optimization: Handling Constraints, High Dimensionality, and Saddle Points	18
Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence	17
Primal Dual Methods for Wasserstein Gradient Flows	15
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	14
A Variational Finite Element Discretization of Compressible Flow	13
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	13
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	12
A Neural Network-Based Policy Iteration Algorithm with Global $$H^2$$-Superlinear Convergence for Stochastic Games on Domains	12
Optimal Stable Nonlinear Approximation	11
Convergence Rates for Discretized Monge–Ampère Equations and Quantitative Stability of Optimal Transport	11
Newton Polytopes and Relative Entropy Optimization	11
Primary Ideals and Their Differential Equations	10
Causal Structure Learning: A Combinatorial Perspective	10
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	10
Finite Element Systems for Vector Bundles: Elasticity and Curvature	10
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems	9
Sparse Harmonic Transforms: A New Class of Sublinear-Time Algorithms for Learning Functions of Many Variables	9

Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization	9
A Simple Nearly Optimal Restart Scheme For Speeding Up First-Order Methods	9
On the Convergence of Time Splitting Methods for Quantum Dynamics in the Semiclassical Regime	9
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	8
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
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	7
Analysis of Tensor Approximation Schemes for Continuous Functions	7
Potentially Singular Behavior of the 3D Navier–Stokes Equations	7
Low-Degree Approximation of Random Polynomials	7
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds	7
Weak Convergence Rates for Euler-Type Approximations of Semilinear Stochastic Evolution Equations with Nonlinear Diffusion Coefficients	7
Potential Singularity of the 3D Euler Equations in the Interior Domain	7
A Framework for Differential Calculus on Persistence Barcodes	7
The Grassmannian of affine subspaces	7
Optimality of Robust Online Learning	6
Computing the Sound of the Sea in a Seashell	6
Orthogonal Polynomials on Planar Cubic Curves	6
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	6
Constraint-Preserving Hybrid Finite Element Methods for Maxwell’s Equations	6
Do Log Factors Matter? On Optimal Wavelet Approximation and the Foundations of Compressed Sensing	6
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	6
A New Technique for Preserving Conservation Laws	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
Homological Algebra for Persistence Modules	6
Euclidean Distance Degree and Mixed Volume	6