Applied and Computational Harmonic Analysis

Article	Citations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	64
Kadec-type theorems for sampled group orbits	51
On the numerical evaluation of the prolate spheroidal wave functions of order zero	43
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	36
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	32
Spatiotemporal analysis using Riemannian composition of diffusion operators	30
Editorial Board	28
Editorial Board	28
A stochastic sparse representation: n-best approximation to random signals and computation	26
Kernel conjugate gradient methods with random projections	26
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	25
Error estimate of the u-series method for molecular dynamics simulations	24
A note on spike localization for line spectrum estimation	22
Unlimited sampling beyond modulo	21
On a discrete transform of homogeneous decomposition spaces	20
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	20
Reproducing kernel Hilbert space compactification of unitary evolution groups	20
Estimates on learning rates for multi-penalty distribution regression	19
AP-frames and stationary random processes	19
Geometric component analysis and its applications to data analysis	19
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	18
Complete interpolating sequences for the Gaussian shift-invariant space	18
Biorthogonal Greedy Algorithms in convex optimization	17
Dilational symmetries of decomposition and coorbit spaces	17

On the evaluation of the eigendecomposition of the Airy integral operator	17
Beurling dimension of spectra for a class of random convolutions on R<	17
Editorial Board	16
Irregular Gabor frames of Cauchy kernels	15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	15
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
Eigenmatrix for unstructured sparse recovery	14
Controlled learning of pointwise nonlinearities in neural-network-like architectures	14
Functional penalised basis pursuit on spheres	13
Finite alphabet phase retrieval	13
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	13
A simple approach for quantizing neural networks	13
Adaptive parameter selection for kernel ridge regression	12
On the number of faces and radii of cells induced by Gaussian spherical tessellations	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
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
Gaussian random field approximation via Stein's method with applications to wide random neural networks	11
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
On the relation between Fourier and Walsh–Rademacher spectra for random fields	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
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
Frames of translates for model sets	8
Estimation under group actions: Recovering orbits from invariants	8
Editorial Board	8
Spectral analysis of weighted Laplacians arising in data clustering	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
Phase retrieval for sub-Gaussian measurements	8
Divergence-free quasi-interpolation	8
Synthesis-based time-scale transforms for non-stationary signals	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Editorial Board	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
Weighted variation spaces and approximation by shallow ReLU networks	7
Lower bounds on the low-distortion embedding dimension of submanifolds of 7
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	7
Optimal (α,d)-multi-completion of d-designs	6
Algebraic compressed sensing	6
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
A one-bit, comparison-based gradient estimator	6
A unified approach to synchronization problems over subgroups of the orthogonal group	6
Spectrality of generalized Sierpinski-type self-affine measures	6
Generalization bounds for sparse random feature expansions	6

Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	6
The springback penalty for robust signal recovery	6
Positive definite multi-kernels for scattered data interpolations	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Editorial Board	5
Strongly convex optimization for joint fractal feature estimation and texture segmentation	5
Deep microlocal reconstruction for limited-angle tomography	5
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	5
Performance bounds of the intensity-based estimators for noisy phase retrieval	5
Frames by orbits of two operators that commute	5
Geometric scattering on measure spaces	5
Editorial Board	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
The beltway problem over orthogonal groups	5
Solving PDEs on unknown manifolds with machine learning	5
The G-invariant graph Laplacian part II: Diffusion maps	5
On a regularization of unsupervised domain adaptation in RKHS	5
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
Graph signal interpolation with positive definite graph basis functions	5
Stability of iterated dyadic filter banks	5
Metric entropy limits on recurrent neural network learning of linear dynamical systems	5
Editorial Board	5
Maximum entropy models from phase harmonic covariances	5
Editorial Board	5
Approximating the span of principal components via iterative least-squares	4
Needlets liberated	4
Understanding neural networks with reproducing kernel Banach spaces	4
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	4
A noncommutative approach to the graphon Fourier transform	4
Editorial Board	4
Gabor frame bound optimizations	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	4
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	4
Representation of operators using fusion frames	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Low-rank matrix recovery via regularized nuclear norm minimization	4
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Compressed sensing of low-rank plus sparse matrices	4
Time and band limiting for exceptional polynomials	4
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	4
Error analysis for denoising smooth modulo signals on a graph	4
Detecting whether a stochastic process is finitely expressed in a basis	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Fractional diffusion maps	3
Local approximation of operators	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Homomorphic sensing of subspace arrangements	3
Cautious active clustering	3
Signal recovery from a few linear measurements of its high-order spectra	3
Editorial Board	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Localized Fourier analysis for graph signal processing	3
Editorial Board	3
Donoho-Logan large sieve principles for the wavelet transform	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Editorial Board	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Twisted B-splines in the complex plane	3
Nonconvex regularization for sparse neural networks	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
The metaplectic action on modulation spaces	2
A perturbative analysis for noisy spectral estimation	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
The mystery of Carleson frames	2
A multiscale environment for learning by diffusion	2
Frame set for shifted sinc-function	2
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	2
Two subspace methods for frequency sparse graph signals	2
Regularization with multilevel non-stationary tight framelets for image restoration	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Solving PDEs on spheres with physics-informed convolutional neural networks	2

Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	2
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	2
Filament plots for data visualization	2
Recurrence of optimum for training weight and activation quantized networks	2
Compressibility analysis of asymptotically mean stationary processes	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
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
Editorial Board	2
Transferability of graph neural networks: An extended graphon approach	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
The sparsity of LASSO-type minimizers	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Editorial Board	2
Effectiveness of the tail-atomic norm in gridless spectrum estimation	2
Exponential bases for partitions of intervals	2
Spectral graph wavelet packets frames	2
Matrix recovery from permutations	2
Two families of compactly supported Parseval framelets in L2	2
Conditional expectation using compactification operators	2
The universal approximation theorem for complex-valued neural networks	2