OOIR: Observatory of International Research

Papers

(The TQCC of Foundations of Computational Mathematics is 5. 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 2021-03-01 to 2025-03-01.)

Article	Citations
Adversarial Manifold Estimation	40
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	27
Sampling Rates for $$\ell ^1$$-Synthesis	27
Convergence Analysis under Consistent Error Bounds	24
Exploiting Sparsity for Semi-Algebraic Set Volume Computation	23
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	19
A Framework for Differential Calculus on Persistence Barcodes	17
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	17
Matrix Concentration for Products	16
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time	14
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	14
The Universal Equivariance Properties of Exotic Aromatic B-Series	14
Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology	14
BGG Sequences with Weak Regularity and Applications	12
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	11
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	11
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	11
Optimal Polynomial Meshes Exist on any Multivariate Convex Domain	11
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	11
Implicitisation and Parameterisation in Polynomial Functors	10
Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points	10
Subexponential-Time Algorithms for Sparse PCA	10
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	10
Complexes from Complexes	9
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	8

Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	8
Algebraic Varieties in Quantum Chemistry	8
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	8
The Topological Correctness of PL Approximations of Isomanifolds	8
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	8
Computability in Harmonic Analysis	7
Principal Components Along Quiver Representations	7
Convex Analysis on Hadamard Spaces and Scaling Problems	7
Learning Time-Scales in Two-Layers Neural Networks	7
On the Representation and Learning of Monotone Triangular Transport Maps	7
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	7
Conormal Spaces and Whitney Stratifications	7
Stationary Points at Infinity for Analytic Combinatorics	7
Orthogonal Polynomials on Planar Cubic Curves	7
The Bubble Transform and the de Rham Complex	7
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	6
Symmetric Bases for Finite Element Exterior Calculus Spaces	6
A Counter-Example to Hausmann’s Conjecture	6
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	6
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	6
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	6
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	6
Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels	6
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	6
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	5
Potential Singularity of the 3D Euler Equations in the Interior Domain	5
Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials	5
A New Technique for Preserving Conservation Laws	5
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	5
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	5
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	5
Phaseless Sampling on Square-Root Lattices	5
Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs	5
A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences	5
Low-Degree Approximation of Random Polynomials	5