Applied and Computational Harmonic Analysis

Article	Citations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	73
Kadec-type theorems for sampled group orbits	53
On the numerical evaluation of the prolate spheroidal wave functions of order zero	46
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	38
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	36
Spatiotemporal analysis using Riemannian composition of diffusion operators	35
Scale dependencies and self-similar models with wavelet scattering spectra	34
Editorial Board	33
Duality for neural networks through Reproducing Kernel Banach Spaces	32
Kernel conjugate gradient methods with random projections	32
A note on spike localization for line spectrum estimation	29
On a discrete transform of homogeneous decomposition spaces	29
Biorthogonal Greedy Algorithms in convex optimization	28
AP-frames and stationary random processes	26
Estimates on learning rates for multi-penalty distribution regression	24
Complete interpolating sequences for the Gaussian shift-invariant space	23
On the evaluation of the eigendecomposition of the Airy integral operator	21
Dilational symmetries of decomposition and coorbit spaces	21
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	20
Error estimate of the u-series method for molecular dynamics simulations	20
A stochastic sparse representation: n-best approximation to random signals and computation	20
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	19
Reproducing kernel Hilbert space compactification of unitary evolution groups	19
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	19
Beurling dimension of spectra for a class of random convolutions on R<	19

Unlimited sampling beyond modulo	17
Editorial Board	16
Geometric component analysis and its applications to data analysis	16
Irregular Gabor frames of Cauchy kernels	16
Finite alphabet phase retrieval	15
Controlled learning of pointwise nonlinearities in neural-network-like architectures	15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	14
Eigenmatrix for unstructured sparse recovery	14
A simple approach for quantizing neural networks	14
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
On the number of faces and radii of cells induced by Gaussian spherical tessellations	13
Editorial Board	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	12
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	12
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
On the intermediate value property of spectra for a class of Moran spectral measures	11
Adaptive parameter selection for kernel ridge regression	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	11
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	11
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
Frames of translates for model sets	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
Stable parameterization of continuous and piecewise-linear functions	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
Divergence-free quasi-interpolation	9
A sufficient condition for mobile sampling in terms of surface density	9
Estimation under group actions: Recovering orbits from invariants	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
A tighter generalization error bound for wide GCN based on loss landscape	8
Synthesis-based time-scale transforms for non-stationary signals	8
Editorial Board	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Constructive subsampling of finite frames with applications in optimal function recovery	8
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	8
Spectral analysis of weighted Laplacians arising in data clustering	8
Fundamental component enhancement via adaptive nonlinear activation functions	8
The springback penalty for robust signal recovery	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Editorial Board	7
Algebraic compressed sensing	7
Spectrality of generalized Sierpinski-type self-affine measures	7
Generalization bounds for sparse random feature expansions	7
Positive definite multi-kernels for scattered data interpolations	7
A one-bit, comparison-based gradient estimator	7
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	7
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	7

Lower bounds on the low-distortion embedding dimension of submanifolds of 7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
Optimal (α,d)-multi-completion of d-designs	7
The G-invariant graph Laplacian part II: Diffusion maps	6
Editorial Board	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	6
Solving PDEs on unknown manifolds with machine learning	6
Editorial Board	6
Frames by orbits of two operators that commute	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6
On a regularization of unsupervised domain adaptation in RKHS	6
Editorial Board	5
Graph signal interpolation with positive definite graph basis functions	5
Deep microlocal reconstruction for limited-angle tomography	5
Understanding neural networks with reproducing kernel Banach spaces	5
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	5
Stability of iterated dyadic filter banks	5
Framelet message passing	5
The beltway problem over orthogonal groups	5
Strongly convex optimization for joint fractal feature estimation and texture segmentation	5
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	5
Editorial Board	5
Geometric scattering on measure spaces	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
Needlets liberated	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Compressed sensing of low-rank plus sparse matrices	4
Representation of operators using fusion frames	4
A noncommutative approach to the graphon Fourier transform	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	4
Low-rank matrix recovery via regularized nuclear norm minimization	4
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
Time and band limiting for exceptional polynomials	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Gabor frame bound optimizations	4
Injectivity of Gabor phase retrieval from lattice measurements	4
Approximating the span of principal components via iterative least-squares	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	4
Signal recovery from a few linear measurements of its high-order spectra	4
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	4
Donoho-Logan large sieve principles for the wavelet transform	3
Fractional diffusion maps	3
Local approximation of operators	3
Nonconvex regularization for sparse neural networks	3
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	3
Twisted B-splines in the complex plane	3
Editorial Board	3
Homomorphic sensing of subspace arrangements	3
Error analysis for denoising smooth modulo signals on a graph	3
Cautious active clustering	3
Exponential bases for partitions of intervals	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
Compressibility analysis of asymptotically mean stationary processes	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Editorial Board	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Editorial Board	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Frame set for shifted sinc-function	3
Spectral graph wavelet packets frames	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Editorial Board	3
Localized Fourier analysis for graph signal processing	3
Transferability of graph neural networks: An extended graphon approach	2
Conditional expectation using compactification operators	2
Filament plots for data visualization	2
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Two families of compactly supported Parseval framelets in L2	2

Complex-order scale-invariant operators and self-similar processes	2
On the existence and estimates of nested spherical designs	2
Editorial Board	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2
Inverse problems are solvable on real number signal processing hardware	2
The sparsity of LASSO-type minimizers	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
Matrix recovery from permutations	2
A multiscale environment for learning by diffusion	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Nonlinear matrix recovery using optimization on the Grassmann manifold	2
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	2
Phase function methods for second order linear ordinary differential equations with turning points	2
Solving PDEs on spheres with physics-informed convolutional neural networks	2
The universal approximation theorem for complex-valued neural networks	2
The metaplectic action on modulation spaces	2
Editorial Board	2
A perturbative analysis for noisy spectral estimation	2
Two subspace methods for frequency sparse graph signals	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Recurrence of optimum for training weight and activation quantized networks	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Image denoising based on a variable spatially exponent PDE	2
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	2
Hierarchical isometry properties of hierarchical measurements	2
Editorial Board	2
The mystery of Carleson frames	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	2
Corrigendum to “A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond” [Appl. Comput. Harmon. Anal. 63 (2023) 1–19	2
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	2