Applied and Computational Harmonic Analysis

Papers
(The TQCC of Applied and Computational Harmonic Analysis 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning64
Kadec-type theorems for sampled group orbits51
On the numerical evaluation of the prolate spheroidal wave functions of order zero43
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions36
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond35
Scale dependencies and self-similar models with wavelet scattering spectra32
Spatiotemporal analysis using Riemannian composition of diffusion operators30
Editorial Board28
Editorial Board28
A stochastic sparse representation: n-best approximation to random signals and computation26
Kernel conjugate gradient methods with random projections26
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration25
Error estimate of the u-series method for molecular dynamics simulations24
A note on spike localization for line spectrum estimation22
Unlimited sampling beyond modulo21
Reproducing kernel Hilbert space compactification of unitary evolution groups20
On a discrete transform of homogeneous decomposition spaces20
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning20
Geometric component analysis and its applications to data analysis19
Estimates on learning rates for multi-penalty distribution regression19
AP-frames and stationary random processes19
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators18
Complete interpolating sequences for the Gaussian shift-invariant space18
Biorthogonal Greedy Algorithms in convex optimization17
Dilational symmetries of decomposition and coorbit spaces17
On the evaluation of the eigendecomposition of the Airy integral operator17
Beurling dimension of spectra for a class of random convolutions on R<17
Editorial Board16
Irregular Gabor frames of Cauchy kernels15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere15
Random sampling and reconstruction of concentrated signals in a reproducing kernel space14
Eigenmatrix for unstructured sparse recovery14
Controlled learning of pointwise nonlinearities in neural-network-like architectures14
Functional penalised basis pursuit on spheres13
Finite alphabet phase retrieval13
Ranking recovery from limited pairwise comparisons using low-rank matrix completion13
A simple approach for quantizing neural networks13
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling12
Adaptive parameter selection for kernel ridge regression12
On the number of faces and radii of cells induced by Gaussian spherical tessellations12
Gaussian random field approximation via Stein's method with applications to wide random neural networks11
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers11
n-Best kernel approximation in reproducing kernel Hilbert spaces11
Regularization of inverse problems by filtered diagonal frame decomposition10
An efficient spatial discretization of spans of multivariate Chebyshev polynomials10
Stable parameterization of continuous and piecewise-linear functions10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application10
On the relation between Fourier and Walsh–Rademacher spectra for random fields10
On the intermediate value property of spectra for a class of Moran spectral measures10
A sufficient condition for mobile sampling in terms of surface density9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences9
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space8
Frames of translates for model sets8
Estimation under group actions: Recovering orbits from invariants8
Editorial Board8
Spectral analysis of weighted Laplacians arising in data clustering8
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization8
Phase retrieval for sub-Gaussian measurements8
Divergence-free quasi-interpolation8
Synthesis-based time-scale transforms for non-stationary signals8
Editorial Board7
Fundamental component enhancement via adaptive nonlinear activation functions7
Constructive subsampling of finite frames with applications in optimal function recovery7
Weighted variation spaces and approximation by shallow ReLU networks7
Lower bounds on the low-distortion embedding dimension of submanifolds of 7
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent6
The springback penalty for robust signal recovery6
Positive definite multi-kernels for scattered data interpolations6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds6
Optimal (α,d)-multi-completion of d-designs6
Algebraic compressed sensing6
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples6
Linearized Wasserstein dimensionality reduction with approximation guarantees6
A one-bit, comparison-based gradient estimator6
A unified approach to synchronization problems over subgroups of the orthogonal group6
Spectrality of generalized Sierpinski-type self-affine measures6
Generalization bounds for sparse random feature expansions6
Graph signal interpolation with positive definite graph basis functions5
Stability of iterated dyadic filter banks5
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids5
Performance bounds of the intensity-based estimators for noisy phase retrieval5
Frames by orbits of two operators that commute5
Geometric scattering on measure spaces5
Editorial Board5
Strongly convex optimization for joint fractal feature estimation and texture segmentation5
Deep microlocal reconstruction for limited-angle tomography5
Solving PDEs on unknown manifolds with machine learning5
The G-invariant graph Laplacian part II: Diffusion maps5
On a regularization of unsupervised domain adaptation in RKHS5
Sparse signal recovery from phaseless measurements via hard thresholding pursuit5
Editorial Board5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants5
Metric entropy limits on recurrent neural network learning of linear dynamical systems5
The beltway problem over orthogonal groups5
Editorial Board5
Maximum entropy models from phase harmonic covariances5
Editorial Board5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications5
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