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 2022-06-01 to 2026-06-01.)

Article	Citations
On the numerical evaluation of the prolate spheroidal wave functions of order zero	92
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	51
On the limits of neural network explainability via descrambling	48
Spatiotemporal analysis using Riemannian composition of diffusion operators	42
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	42
Scale dependencies and self-similar models with wavelet scattering spectra	42
Kadec-type theorems for sampled group orbits	41
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	37
Duality for neural networks through Reproducing Kernel Banach Spaces	32
Editorial Board	30
Complete interpolating sequences for the Gaussian shift-invariant space	25
Dilational symmetries of decomposition and coorbit spaces	25
Signal reconstruction using determinantal sampling	23
The theory of deep convolutional neural networks and a data approximation problem based on the fractional Fourier transform	23
Sharp error estimates for target measure diffusion maps with applications to the committor problem	23
Beurling dimension of spectra for a class of random convolutions on R<	21
Estimates on learning rates for multi-penalty distribution regression	21
A note on spike localization for line spectrum estimation	20
Unlimited sampling beyond modulo	19
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	19
Error estimate of the u-series method for molecular dynamics simulations	18
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	18
AP-frames and stationary random processes	17
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	17
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	16

Biorthogonal Greedy Algorithms in convex optimization	14
Editorial Board	14
Controlled learning of pointwise nonlinearities in neural-network-like architectures	13
A simple approach for quantizing neural networks	13
Finite alphabet phase retrieval	13
Eigenmatrix for unstructured sparse recovery	13
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	12
Spatiospectral localization within the ball – studies on the influence of the spectral shape	12
Editorial Board	12
Localization of operator-valued frames	11
Gaussian random field approximation via Stein's method with applications to wide random neural networks	11
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
Adaptive parameter selection for kernel ridge regression	11
Editorial Board	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	10
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
Theoretical guarantees for low-rank compression of deep neural networks	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Stable parameterization of continuous and piecewise-linear functions	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
Divergence-free quasi-interpolation	9
Demystifying Carleson frames	9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
Non-negative sparse recovery at minimal sampling rate	9
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	8
Estimation under group actions: Recovering orbits from invariants	8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
A sufficient condition for mobile sampling in terms of surface density	8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Direct interpolative construction of the discrete Fourier transform as a matrix product operator	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
The springback penalty for robust signal recovery	7
Pattern recovery by SLOPE	7
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	7
Editorial Board	7
A one-bit, comparison-based gradient estimator	7
Algebraic compressed sensing	7
Generalization bounds for sparse random feature expansions	7
Synthesis-based time-scale transforms for non-stationary signals	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Editorial Board	7
Painless construction of unconditional bases for anisotropic modulation and Triebel-Lizorkin type spaces	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Optimal (α,d)-multi-completion of d-designs	7
Weighted variation spaces and approximation by shallow ReLU networks	7
A tighter generalization error bound for wide GCN based on loss landscape	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
The impact of smoothness of kernels and target functions on unsupervised covariate shift adaptation in RKHS	7

Positive definite multi-kernels for scattered data interpolations	7
Universal approximation property of fully convolutional neural networks with zero padding	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Quantum wave packet transforms with compact frequency support: Implementations for wavelets and Gabor atoms	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Frames by orbits of two operators that commute	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Editorial Board	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Permutation-invariant representations with applications to graph deep learning	6
Assembly and iteration: Transition to linearity of wide neural networks	6
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	6
Editorial Board	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6