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 2021-04-01 to 2025-04-01.)

Article	Citations
Adversarial Manifold Estimation	40
Sampling Rates for $$\ell ^1$$-Synthesis	27
Non-parametric Learning of Stochastic Differential Equations with Non-asymptotic Fast Rates of Convergence	24
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	21
Convergence Analysis under Consistent Error Bounds	17
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	16
Matrix Concentration for Products	14
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	14
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time	14
A Framework for Differential Calculus on Persistence Barcodes	14
On the Representation and Learning of Monotone Triangular Transport Maps	13
The Universal Equivariance Properties of Exotic Aromatic B-Series	13
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	12
Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology	12
BGG Sequences with Weak Regularity and Applications	11
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	11
Optimal Polynomial Meshes Exist on any Multivariate Convex Domain	11
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	10
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	10
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	9
Implicitisation and Parameterisation in Polynomial Functors	9
Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points	9
Subexponential-Time Algorithms for Sparse PCA	8
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	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	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Stationary Points at Infinity for Analytic Combinatorics	7
Learning Time-Scales in Two-Layers Neural Networks	7
Algebraic Varieties in Quantum Chemistry	7
Sums of Squares Certificates for Polynomial Moment Inequalities	7
Principal Components Along Quiver Representations	7
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	7
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	7
Computability in Harmonic Analysis	7
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	7
Convex Analysis on Hadamard Spaces and Scaling Problems	6
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	6
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	6
Conormal Spaces and Whitney Stratifications	6
Symmetric Bases for Finite Element Exterior Calculus Spaces	6
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	6
Orthogonal Polynomials on Planar Cubic Curves	6
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	6
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	6
Correction to: Conormal Spaces and Whitney Stratifications	5
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	5
Potential Singularity of the 3D Euler Equations in the Interior Domain	5
A New Technique for Preserving Conservation Laws	5
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	5
A Counter-Example to Hausmann’s Conjecture	5
Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials	5
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	5
A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences	5
Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs	5
Correction to: Lie–Poisson Methods for Isospectral Flows	5