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 2022-05-01 to 2026-05-01.)

Article	Citations
Sampling Rates for $$\ell ^1$$-Synthesis	48
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	24
Doubly Regularized Entropic Wasserstein Barycenter	23
BGG Sequences with Weak Regularity and Applications	21
Preface	21
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	20
Potential Singularity of the 3D Euler Equations in the Interior Domain	19
Symbolic Summation of Multivariate Rational Functions	17
Learning Time-Scales in Two-Layers Neural Networks	15
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications	14
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	13
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	13
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	13
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	12
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential	12
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	12
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas	11
Stability of 2-Parameter Persistent Homology	11
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	10
Gabor Phase Retrieval via Semidefinite Programming	10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	10
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	9
Crouzeix-Raviart elements on simplicial meshes in d dimensions	9

A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	9
Mathematics of 2-Dimensional Lattices	8
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	8
An Atlas for the Pinhole Camera	8
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection	7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain	7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	7
Uniform Distribution via Lattices: From Point Sets to Sequences	7
Correction to: Conormal Spaces and Whitney Stratifications	6
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory	6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	6
An Optimal Lower Bound for Smooth Convex Functions	6
Local Space-Preserving Decompositions for the Bubble Transform	6
Classification of Finite Groups: Recent Developements and Open Problems	6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	6
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	6
Optimal Approximation of Unique Continuation	6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	6
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	5
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	5
Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry	5
Retraction Maps: A Seed of Geometric Integrators	5
Sum-of-Squares Relaxations for Information Theory and Variational Inference	5
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	5
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	5
Irreducible Components of Sets of Points in the Plane that Satisfy Distance Conditions	5
Group-Invariant Max Filtering	5
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	4
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	4
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	4
Reduction of Plane Quartics and Cayley Octads	4
Extended Regge Complex for Linearized Riemann-Cartan Geometry and Cohomology	4
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	4
Polynomial Factorization Over Henselian Fields	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	4
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	4
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	4
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	4
Implicitisation and Parameterisation in Polynomial Functors	4
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	4
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	3
The Universal Equivariance Properties of Exotic Aromatic B-Series	3
Algebraic Varieties in Quantum Chemistry	3
Adversarial Manifold Estimation	3
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
Stabilizing Decomposition of Multiparameter Persistence Modules	3

Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	3
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	3
A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
Algorithms for Mean-Field Variational Inference Via Polyhedral Optimization in the Wasserstein Space	3
Planar Regularity Structures	3
Phaseless Sampling on Square-Root Lattices	3
Recognizing Weighted Means in Geodesic Spaces	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	3
A Discrete Trace Theory for Non-Conforming Polytopal Hybrid Discretisation Methods	3
Conormal Spaces and Whitney Stratifications	3
Nearly Self-similar Blowup of Generalized Axisymmetric Navier–Stokes Equations	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
Towards a Fluid Computer	3
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	3
Improved global performance guarantees of second-order methods in convex minimization	2
Convergence Analysis under Consistent Error Bounds	2
A Fisher–Rao Gradient Flow for Entropy-Regularised Markov Decision Processes in Polish Spaces	2
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
Resonances as a Computational Tool	2
The Gromov–Wasserstein Distance Between Spheres	2
Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards	2
Correction to: Lie–Poisson Methods for Isospectral Flows	2
The Bubble Transform and the de Rham Complex	2
Subexponential-Time Algorithms for Sparse PCA	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
Symmetric Bases for Finite Element Exterior Calculus Spaces	2
Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
Functional Equivariance and Conservation Laws in Numerical Integration	2