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 2020-11-01 to 2024-11-01.)

Article	Citations
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	40
Function Values Are Enough for $$L_2$$-Approximation	36
Complexes from Complexes	27
A New Upper Bound for Sampling Numbers	25
Kurdyka–Łojasiewicz Exponent via Inf-projection	24
Zeroth-Order Nonconvex Stochastic Optimization: Handling Constraints, High Dimensionality, and Saddle Points	23
Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence	21
Primal Dual Methods for Wasserstein Gradient Flows	19
A Variational Finite Element Discretization of Compressible Flow	17
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	17
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	16
Newton Polytopes and Relative Entropy Optimization	14
Optimal Stable Nonlinear Approximation	14
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	14
Causal Structure Learning: A Combinatorial Perspective	13
A New Technique for Preserving Conservation Laws	12
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	12
Convergence Rates for Discretized Monge–Ampère Equations and Quantitative Stability of Optimal Transport	11
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization	11
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	11
Spectral Graph Matching and Regularized Quadratic Relaxations II	11
Primary Ideals and Their Differential Equations	10
A Simple Nearly Optimal Restart Scheme For Speeding Up First-Order Methods	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

Homological Algebra for Persistence Modules	9
Analysis of Tensor Approximation Schemes for Continuous Functions	9
Euclidean Distance Degree and Mixed Volume	9
The Geometry of Off-the-Grid Compressed Sensing	8
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	8
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	8
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	8
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	8
Potentially Singular Behavior of the 3D Navier–Stokes Equations	8
Low-Degree Approximation of Random Polynomials	8
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds	8
Convergence of Adaptive Discontinuous Galerkin and $$C^0$$-Interior Penalty Finite Element Methods for Hamilton–Jacobi–Bellman and Isaacs Equations	7
Computing the Sound of the Sea in a Seashell	7
Orthogonal Polynomials on Planar Cubic Curves	7
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	7
Robust Group Synchronization via Cycle-Edge Message Passing	7
Continuum Limit of Lipschitz Learning on Graphs	7
Potential Singularity of the 3D Euler Equations in the Interior Domain	7
Do Log Factors Matter? On Optimal Wavelet Approximation and the Foundations of Compressed Sensing	7
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	7
A Framework for Differential Calculus on Persistence Barcodes	7
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	6
Optimality of Robust Online Learning	6
The Saddle Point Problem of Polynomials	6
A Counter-Example to Hausmann’s Conjecture	6
Mathematics of 2-Dimensional Lattices	6
The Reeb Graph Edit Distance is Universal	6
Computing the Homology of Semialgebraic Sets. II: General Formulas	6
On the Representation and Learning of Monotone Triangular Transport Maps	6
Sparse Multi-Reference Alignment: Phase Retrieval, Uniform Uncertainty Principles and the Beltway Problem	6
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	6