OOIR: Observatory of International Research

Papers

(The median citation count of Foundations of Computational Mathematics 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 2021-05-01 to 2025-05-01.)

Article	Citations
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	59
BGG Sequences with Weak Regularity and Applications	24
Sampling Rates for $$\ell ^1$$-Synthesis	23
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	22
A Framework for Differential Calculus on Persistence Barcodes	21
Stationary Points at Infinity for Analytic Combinatorics	19
Potential Singularity of the 3D Euler Equations in the Interior Domain	19
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	15
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	15
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	15
Symbolic Summation of Multivariate Rational Functions	13
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	13
Learning Time-Scales in Two-Layers Neural Networks	13
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	12
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	11
Stability of 2-Parameter Persistent Homology	11
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	11
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	11
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	10
Gabor Phase Retrieval via Semidefinite Programming	10
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	10
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
An Atlas for the Pinhole Camera	9

A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	9
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	9
A Common Variable Minimax Theorem for Graphs	9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Mathematics of 2-Dimensional Lattices	8
Automorphism Groups of Certain Enriques Surfaces	8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	8
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	8
Euclidean Distance Degree and Mixed Volume	7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	7
Correction to: Conormal Spaces and Whitney Stratifications	7
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Classification of Finite Groups: Recent Developements and Open Problems	6
Sum-of-Squares Relaxations for Information Theory and Variational Inference	6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	6
Optimal Approximation of Unique Continuation	6
Local Space-Preserving Decompositions for the Bubble Transform	6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	6
Finite Element Systems for Vector Bundles: Elasticity and Curvature	6
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	6
Retraction Maps: A Seed of Geometric Integrators	6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	6
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	5
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	5
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	5
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	5
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	5
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	5
Group-Invariant Max Filtering	5
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	5
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	5
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	4
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	4
Phase Transitions in Rate Distortion Theory and Deep Learning	4
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions	4
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	4
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	4
Polynomial Factorization Over Henselian Fields	4
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	4
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	3
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	3
Stabilizing Decomposition of Multiparameter Persistence Modules	3
A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
The Universal Equivariance Properties of Exotic Aromatic B-Series	3

Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	3
Orthogonal Polynomials on Planar Cubic Curves	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
Implicitisation and Parameterisation in Polynomial Functors	3
Adversarial Manifold Estimation	3
A New Technique for Preserving Conservation Laws	3
Phaseless Sampling on Square-Root Lattices	3
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	3
Algebraic Varieties in Quantum Chemistry	3
Resonances as a Computational Tool	2
Functional Equivariance and Conservation Laws in Numerical Integration	2
Conormal Spaces and Whitney Stratifications	2
Convergence Analysis under Consistent Error Bounds	2
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
Affine-Invariant Ensemble Transform Methods for Logistic Regression	2
Towards a Fluid Computer	2
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	2
The Topological Correctness of PL Approximations of Isomanifolds	2
Subexponential-Time Algorithms for Sparse PCA	2
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	2
Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets	2
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	2
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	2
Correction to: Lie–Poisson Methods for Isospectral Flows	2
The Gromov–Wasserstein Distance Between Spheres	2
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2