Applied and Computational Harmonic Analysis

Article	Citations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	69
Kadec-type theorems for sampled group orbits	51
On the numerical evaluation of the prolate spheroidal wave functions of order zero	45
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	37
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	34
Spatiotemporal analysis using Riemannian composition of diffusion operators	32
Kernel conjugate gradient methods with random projections	30
Editorial Board	30
Duality for neural networks through Reproducing Kernel Banach Spaces	28
A note on spike localization for line spectrum estimation	27
Biorthogonal Greedy Algorithms in convex optimization	27
On a discrete transform of homogeneous decomposition spaces	26
AP-frames and stationary random processes	23
Estimates on learning rates for multi-penalty distribution regression	21
Geometric component analysis and its applications to data analysis	21
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	20
Dilational symmetries of decomposition and coorbit spaces	20
Complete interpolating sequences for the Gaussian shift-invariant space	20
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
On the evaluation of the eigendecomposition of the Airy integral operator	19
A stochastic sparse representation: n-best approximation to random signals and computation	19
Unlimited sampling beyond modulo	18
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	18

Error estimate of the u-series method for molecular dynamics simulations	17
Editorial Board	16
Reproducing kernel Hilbert space compactification of unitary evolution groups	16
Irregular Gabor frames of Cauchy kernels	15
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
Eigenmatrix for unstructured sparse recovery	14
A simple approach for quantizing neural networks	14
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	14
Finite alphabet phase retrieval	13
Controlled learning of pointwise nonlinearities in neural-network-like architectures	13
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	13
On the number of faces and radii of cells induced by Gaussian spherical tessellations	12
Adaptive parameter selection for kernel ridge regression	12
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
Gaussian random field approximation via Stein's method with applications to wide random neural networks	11
Editorial Board	11
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
Regularization of inverse problems by filtered diagonal frame decomposition	10
Stable parameterization of continuous and piecewise-linear functions	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
On the relation between Fourier and Walsh–Rademacher spectra for random fields	10
Frames of translates for model sets	9
Synthesis-based time-scale transforms for non-stationary signals	8
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
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Divergence-free quasi-interpolation	8
Editorial Board	8
A sufficient condition for mobile sampling in terms of surface density	8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	8
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	8
Weighted variation spaces and approximation by shallow ReLU networks	7
A tighter generalization error bound for wide GCN based on loss landscape	7
Editorial Board	7
Optimal (α,d)-multi-completion of d-designs	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
Positive definite multi-kernels for scattered data interpolations	7
Algebraic compressed sensing	7
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	7
Lower bounds on the low-distortion embedding dimension of submanifolds of 7
Spectral analysis of weighted Laplacians arising in data clustering	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
Generalization bounds for sparse random feature expansions	6
A one-bit, comparison-based gradient estimator	6
Frames by orbits of two operators that commute	6
Editorial Board	6

Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	6
The springback penalty for robust signal recovery	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
The G-invariant graph Laplacian part II: Diffusion maps	6
A unified approach to synchronization problems over subgroups of the orthogonal group	6
Spectrality of generalized Sierpinski-type self-affine measures	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Understanding neural networks with reproducing kernel Banach spaces	5
Performance bounds of the intensity-based estimators for noisy phase retrieval	5
Metric entropy limits on recurrent neural network learning of linear dynamical systems	5
Stability of iterated dyadic filter banks	5
Editorial Board	5
Framelet message passing	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
Deep microlocal reconstruction for limited-angle tomography	5
Solving PDEs on unknown manifolds with machine learning	5
On a regularization of unsupervised domain adaptation in RKHS	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Graph signal interpolation with positive definite graph basis functions	5
Geometric scattering on measure spaces	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
Editorial Board	5
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
Editorial Board	5
Strongly convex optimization for joint fractal feature estimation and texture segmentation	5
Needlets liberated	5
The beltway problem over orthogonal groups	5
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
A noncommutative approach to the graphon Fourier transform	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
Approximating the span of principal components via iterative least-squares	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Representation of operators using fusion frames	4
Compressed sensing of low-rank plus sparse matrices	4
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	4
Low-rank matrix recovery via regularized nuclear norm minimization	4
Time and band limiting for exceptional polynomials	4
Cautious active clustering	3
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	3
Error analysis for denoising smooth modulo signals on a graph	3
Fractional diffusion maps	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
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	3
Gabor frame bound optimizations	3
Homomorphic sensing of subspace arrangements	3
Editorial Board	3
Twisted B-splines in the complex plane	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Signal recovery from a few linear measurements of its high-order spectra	3
Editorial Board	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Detecting whether a stochastic process is finitely expressed in a basis	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Localized Fourier analysis for graph signal processing	3
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
Matrix recovery from permutations	2
Exponential bases for partitions of intervals	2
Nonconvex regularization for sparse neural networks	2
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	2
Effectiveness of the tail-atomic norm in gridless spectrum estimation	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
The mystery of Carleson frames	2
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	2
Editorial Board	2
Conditional expectation using compactification operators	2
Frame set for shifted sinc-function	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2

Donoho-Logan large sieve principles for the wavelet transform	2
Compressibility analysis of asymptotically mean stationary processes	2
Editorial Board	2
Two subspace methods for frequency sparse graph signals	2
Two families of compactly supported Parseval framelets in L2	2
Editorial Board	2
The sparsity of LASSO-type minimizers	2
A perturbative analysis for noisy spectral estimation	2
Inverse problems are solvable on real number signal processing hardware	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Filament plots for data visualization	2
Recurrence of optimum for training weight and activation quantized networks	2
Local approximation of operators	2
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	2
Spectral graph wavelet packets frames	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
A multiscale environment for learning by diffusion	2
The universal approximation theorem for complex-valued neural networks	2
The metaplectic action on modulation spaces	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
Transferability of graph neural networks: An extended graphon approach	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2