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 2022-08-01 to 2026-08-01.)

Article	Citations
Sampling Rates for $$\ell ^1$$-Synthesis	49
BGG Sequences with Weak Regularity and Applications	28
Preface	25
Potential Singularity of the 3D Euler Equations in the Interior Domain	23
Doubly Regularized Entropic Wasserstein Barycenter	23
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	22
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	17
Learning Time-Scales in Two-Layers Neural Networks	15
Multigrid Monte Carlo Revisited: Theory and Bayesian Inference	15
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications	14
Symbolic Summation of Multivariate Rational Functions	14
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	14
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	13
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	13
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential	13
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas	12
Stability of 2-Parameter Persistent Homology	11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10
Gabor Phase Retrieval via Semidefinite Programming	10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	9
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	9
Crouzeix-Raviart elements on simplicial meshes in d dimensions	9

Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	9
An Atlas for the Pinhole Camera	9
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	8
Mathematics of 2-Dimensional Lattices	8
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection	7
Correction to: Conormal Spaces and Whitney Stratifications	7
Uniform Distribution via Lattices: From Point Sets to Sequences	7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain	7
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	7
An Optimal Lower Bound for Smooth Convex Functions	7
Local Space-Preserving Decompositions for the Bubble Transform	6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	6
Classification of Finite Groups: Recent Developements and Open Problems	6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	6
Sum-of-Squares Relaxations for Information Theory and Variational Inference	6
Optimal Approximation of Unique Continuation	6
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	6
Group-Invariant Max Filtering	6
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	5
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	5
Extended Regge Complex for Linearized Riemann-Cartan Geometry and Cohomology	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
Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry	5
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	5
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	5
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	5
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	4
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	4
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	4
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	4
The Universal Equivariance Properties of Exotic Aromatic B-Series	4
Reduction of Plane Quartics and Cayley Octads	4
Polynomial Factorization Over Henselian Fields	4
Adversarial Manifold Estimation	4
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	4
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Implicitisation and Parameterisation in Polynomial Functors	4
Phaseless Sampling on Square-Root Lattices	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
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	3
Towards a Fluid Computer	3
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	3
Interior-Point Methods on Manifolds: Theory and Applications	3

Stabilizing Decomposition of Multiparameter Persistence Modules	3
A Discrete Trace Theory for Non-Conforming Polytopal Hybrid Discretisation Methods	3
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	3
Nearly Self-similar Blowup of Generalized Axisymmetric Navier–Stokes Equations	3
Exact and Efficient Representation of Totally Anti-Symmetric Functions	3
Functional Equivariance and Conservation Laws in Numerical Integration	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
Planar Regularity Structures	3
Algebraic Varieties in Quantum Chemistry	3
Recognizing Weighted Means in Geodesic Spaces	3
Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards	3
Resonances as a Computational Tool	3
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
Measure-to-Measure Interpolation Using Transformers	2
The Bubble Transform and the de Rham Complex	2
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	2
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations	2
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
Subexponential-Time Algorithms for Sparse PCA	2
The Gromov–Wasserstein Distance Between Spheres	2
Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs	2
A Fisher–Rao Gradient Flow for Entropy-Regularised Markov Decision Processes in Polish Spaces	2
Improved global performance guarantees of second-order methods in convex minimization	2
Convergence Analysis under Consistent Error Bounds	2
Symmetric Bases for Finite Element Exterior Calculus Spaces	2
Inf-Sup Stability of Parabolic TraceFEM	2
The Likelihood Correspondence	2
Correction to: Lie–Poisson Methods for Isospectral Flows	2