OOIR: Observatory of International Research

Papers

(The TQCC of Applied and Computational Harmonic Analysis is 6. 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 2022-01-01 to 2026-01-01.)

Article	Citations
On the limits of neural network explainability via descrambling	80
On the numerical evaluation of the prolate spheroidal wave functions of order zero	47
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	43
Spatiotemporal analysis using Riemannian composition of diffusion operators	41
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	39
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	37
Kadec-type theorems for sampled group orbits	35
Scale dependencies and self-similar models with wavelet scattering spectra	34
Duality for neural networks through Reproducing Kernel Banach Spaces	33
Editorial Board	31
Unlimited sampling beyond modulo	30
Biorthogonal Greedy Algorithms in convex optimization	26
Dilational symmetries of decomposition and coorbit spaces	22
Estimates on learning rates for multi-penalty distribution regression	22
A note on spike localization for line spectrum estimation	21
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	21
On the evaluation of the eigendecomposition of the Airy integral operator	21
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	20
Beurling dimension of spectra for a class of random convolutions on R<	19
Error estimate of the u-series method for molecular dynamics simulations	19
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	18
Sharp error estimates for target measure diffusion maps with applications to the committor problem	17
AP-frames and stationary random processes	17
Editorial Board	16
Complete interpolating sequences for the Gaussian shift-invariant space	16

Controlled learning of pointwise nonlinearities in neural-network-like architectures	16
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	16
Irregular Gabor frames of Cauchy kernels	14
Finite alphabet phase retrieval	14
Eigenmatrix for unstructured sparse recovery	14
A simple approach for quantizing neural networks	13
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	13
n-Best kernel approximation in reproducing kernel Hilbert spaces	13
Editorial Board	13
Adaptive parameter selection for kernel ridge regression	12
Editorial Board	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
On the number of faces and radii of cells induced by Gaussian spherical tessellations	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	12
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	11
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	11
Stable parameterization of continuous and piecewise-linear functions	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	11
Frames of translates for model sets	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	9
A sufficient condition for mobile sampling in terms of surface density	9
Lower bounds on the low-distortion embedding dimension of submanifolds of 9
Estimation under group actions: Recovering orbits from invariants	9
Demystifying Carleson frames	9
Divergence-free quasi-interpolation	9
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	9
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
A tighter generalization error bound for wide GCN based on loss landscape	8
Fundamental component enhancement via adaptive nonlinear activation functions	8
Synthesis-based time-scale transforms for non-stationary signals	8
Constructive subsampling of finite frames with applications in optimal function recovery	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
A one-bit, comparison-based gradient estimator	7
Positive definite multi-kernels for scattered data interpolations	7
Spectral analysis of weighted Laplacians arising in data clustering	7
Editorial Board	7
Optimal (α,d)-multi-completion of d-designs	7
Permutation-invariant representations with applications to graph deep learning	7
Pattern recovery by SLOPE	7
Editorial Board	7
The springback penalty for robust signal recovery	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Algebraic compressed sensing	7
Editorial Board	6

Editorial Board	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Generalization bounds for sparse random feature expansions	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Frames by orbits of two operators that commute	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6