Applied and Computational Harmonic Analysis

Article	Citations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	62
Kadec-type theorems for sampled group orbits	58
On the numerical evaluation of the prolate spheroidal wave functions of order zero	51
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	43
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	35
Scale dependencies and self-similar models with wavelet scattering spectra	35
Editorial Board	30
Spatiotemporal analysis using Riemannian composition of diffusion operators	30
Kernel conjugate gradient methods with random projections	28
Editorial Board	28
On a discrete transform of homogeneous decomposition spaces	25
Unlimited sampling beyond modulo	24
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	23
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	23
A stochastic sparse representation: n-best approximation to random signals and computation	23
Reproducing kernel Hilbert space compactification of unitary evolution groups	22
Beurling dimension of spectra for a class of random convolutions on R<	21
AP-frames and stationary random processes	20
Estimates on learning rates for multi-penalty distribution regression	19
Geometric component analysis and its applications to data analysis	18
A note on spike localization for line spectrum estimation	18
Dilational symmetries of decomposition and coorbit spaces	17
Complete interpolating sequences for the Gaussian shift-invariant space	17
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	17
Finite alphabet phase retrieval	16

On the evaluation of the eigendecomposition of the Airy integral operator	16
A simple approach for quantizing neural networks	16
Editorial Board	16
Irregular Gabor frames of Cauchy kernels	16
Biorthogonal Greedy Algorithms in convex optimization	16
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	15
Eigenmatrix for unstructured sparse recovery	15
Functional penalised basis pursuit on spheres	14
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
The Nyquist sampling rate for spiraling curves	14
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	14
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	13
n-Best kernel approximation in reproducing kernel Hilbert spaces	13
On the number of faces and radii of cells induced by Gaussian spherical tessellations	13
Stable parameterization of continuous and piecewise-linear functions	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
On the relation between Fourier and Walsh–Rademacher spectra for random fields	12
Adaptive parameter selection for kernel ridge regression	12
Regularization of inverse problems by filtered diagonal frame decomposition	11
On the intermediate value property of spectra for a class of Moran spectral measures	11
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
Estimation under group actions: Recovering orbits from invariants	9
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	9
Frames of translates for model sets	9
Divergence-free quasi-interpolation	9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
A sufficient condition for mobile sampling in terms of surface density	9
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Editorial Board	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Phase retrieval for sub-Gaussian measurements	8
Spectral analysis of weighted Laplacians arising in data clustering	8
Synthesis-based time-scale transforms for non-stationary signals	8
Editorial Board	7
Positive definite multi-kernels for scattered data interpolations	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
The springback penalty for robust signal recovery	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
Graph Fourier transform based on ℓ1 norm variation minimization	7
A one-bit, comparison-based gradient estimator	6
Maximum entropy models from phase harmonic covariances	6
A unified approach to synchronization problems over subgroups of the orthogonal group	6
Generalization bounds for sparse random feature expansions	6
Optimal (α,d)-multi-completion of d-designs	6
Orthogonal polynomials, biorthogonal polynomials and spline functions	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6

Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	6
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	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
Algebraic compressed sensing	6
Spectrality of generalized Sierpinski-type self-affine measures	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	5
The G-invariant graph Laplacian part II: Diffusion maps	5
Geometric scattering on measure spaces	5
Linearized Wasserstein dimensionality reduction with approximation guarantees	5
Editorial Board	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Editorial Board	5
Metric entropy limits on recurrent neural network learning of linear dynamical systems	5
Performance bounds of the intensity-based estimators for noisy phase retrieval	5
Stability of iterated dyadic filter banks	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
ℓ1-Analysis minimization and generalized (co-)sparsity: When does recovery succeed?	5
Editorial Board	5
On a regularization of unsupervised domain adaptation in RKHS	5
Solving PDEs on unknown manifolds with machine learning	5
Editorial Board	5
The minimizers of the p-frame potential	5
The beltway problem over orthogonal groups	5
Graph signal interpolation with positive definite graph basis functions	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
Low-rank matrix recovery via regularized nuclear norm minimization	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	4
Understanding neural networks with reproducing kernel Banach spaces	4
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
Spectrality of self-affine Sierpinski-type measures on R	4
A noncommutative approach to the graphon Fourier transform	4
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	4
Deep microlocal reconstruction for limited-angle tomography	4
Representation of operators using fusion frames	4
Time and band limiting for exceptional polynomials	4
Approximating the span of principal components via iterative least-squares	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
Strongly convex optimization for joint fractal feature estimation and texture segmentation	4
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Needlets liberated	4
Editorial Board	3
Compressed sensing of low-rank plus sparse matrices	3
Donoho-Logan large sieve principles for the wavelet transform	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Editorial Board	3
Editorial Board	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Cautious active clustering	3
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Gabor frame bound optimizations	3
Editorial Board	3
Exponential bases for partitions of intervals	3
Localized Fourier analysis for graph signal processing	3
Twisted B-splines in the complex plane	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Error analysis for denoising smooth modulo signals on a graph	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Signal recovery from a few linear measurements of its high-order spectra	3
Editorial Board	3
Nonconvex regularization for sparse neural networks	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
Fractional diffusion maps	3
Homomorphic sensing of subspace arrangements	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Two families of compactly supported Parseval framelets in L2	2
A multiscale environment for learning by diffusion	2
Spectral graph wavelet packets frames	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
On the existence and estimates of nested spherical designs	2
Editorial Board	2
The universal approximation theorem for complex-valued neural networks	2

Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
Frame set for shifted sinc-function	2
Conditional expectation using compactification operators	2
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Local approximation of operators	2
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	2
Regularization with multilevel non-stationary tight framelets for image restoration	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
Inverse problems are solvable on real number signal processing hardware	2
The metaplectic action on modulation spaces	2
The mystery of Carleson frames	2
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Recurrence of optimum for training weight and activation quantized networks	2
Two subspace methods for frequency sparse graph signals	2
Compressibility analysis of asymptotically mean stationary processes	2
Editorial Board	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
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Hierarchical isometry properties of hierarchical measurements	2
Transferability of graph neural networks: An extended graphon approach	2
Solving PDEs on spheres with physics-informed convolutional neural networks	2
A perturbative analysis for noisy spectral estimation	2
The sparsity of LASSO-type minimizers	2
Matrix recovery from permutations	2
Filament plots for data visualization	2