Applied and Computational Harmonic Analysis

Article	Citations
Kadec-type theorems for sampled group orbits	60
The affine Wigner distribution	58
Inversion of the attenuated X-ray transforms — Method of convolution-backprojection	51
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	38
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	32
Divergence-free quasi-interpolation	29
Spatiotemporal analysis using Riemannian composition of diffusion operators	27
Editorial Board	27
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	27
Conditional expectation using compactification operators	27
Editorial Board	25
Error bounds for kernel-based approximations of the Koopman operator	23
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	23
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets	22
Exponential lower bound for the eigenvalues of the time-frequency localization operator before the plunge region	21
Convex optimization in sums of Banach spaces	21
Non-separable multidimensional multiresolution wavelets: A Douglas-Rachford approach	19
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	19
Strongly convex optimization for joint fractal feature estimation and texture segmentation	18
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications	18
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	17
A sufficient condition for mobile sampling in terms of surface density	17
Naimark-spatial families of equichordal tight fusion frames	16
Deep microlocal reconstruction for limited-angle tomography	16
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable	16

Matrix recovery from permutations	16
Frames of translates for model sets	15
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	15
Quasi-projection operators in weighted L spaces	15
Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets	14
On the numerical evaluation of the prolate spheroidal wave functions of order zero	14
Analytic and directional wavelet packets in the space of periodic signals	14
Toric symplectic geometry and full spark frames	14
Learning ability of interpolating deep convolutional neural networks	14
Towards a bilipschitz invariant theory	14
Scale dependencies and self-similar models with wavelet scattering spectra	13
The beltway problem over orthogonal groups	13
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	13
Capacity dependent analysis for functional online learning algorithms	12
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	11
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	11
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	10
Synthesis-based time-scale transforms for non-stationary signals	10
Understanding neural networks with reproducing kernel Banach spaces	10
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	10
Estimation under group actions: Recovering orbits from invariants	10
Spectrality of self-affine Sierpinski-type measures on R	9
Constructive subsampling of finite frames with applications in optimal function recovery	9
Inverse problems are solvable on real number signal processing hardware	9
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	8
Editorial Board	8
Spectral analysis of weighted Laplacians arising in data clustering	8
Phase retrieval for sub-Gaussian measurements	8
Editorial Board	8
Editorial Board	8
Rate-optimal sparse approximation of compact break-of-scale embeddings	7
Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes	7
Editorial Board	7
Editorial Board	6
Lower bounds on the low-distortion embedding dimension of submanifolds of 6
The universal approximation theorem for complex-valued neural networks	6
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	6
Nodal domain count for the generalized graph p-Laplacian	6
Time and band limiting for exceptional polynomials	6
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces	6
Fundamental component enhancement via adaptive nonlinear activation functions	6
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	6
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	6
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	6
The sparsity of LASSO-type minimizers	6
The mystery of Carleson frames	6
A perturbative analysis for noisy spectral estimation	5
A noncommutative approach to the graphon Fourier transform	5

On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	5
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	5
Transferability of graph neural networks: An extended graphon approach	5
The metaplectic action on modulation spaces	5
Uncertainty principles, restriction, Bourgain's Λ theorem, and signal recovery	5
Multidimensional unstructured sparse recovery via eigenmatrix	5
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	5
Variable bandwidth via Wilson bases	5
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	5
Low-rank matrix recovery via regularized nuclear norm minimization	5
Compressed sensing of low-rank plus sparse matrices	5
LU decomposition and Toeplitz decomposition of a neural network	5
Perfect reconstruction two-channel filter banks on arbitrary graphs	5
Stable phase retrieval from locally stable and conditionally connected measurements	5
Computing committors in collective variables via Mahalanobis diffusion maps	5
Weighted variation spaces and approximation by shallow ReLU networks	5
Approximating the span of principal components via iterative least-squares	5
Needlets liberated	5
High-probability generalization bounds for pointwise uniformly stable algorithms	5
On the non-frame property of Gabor systems with Hermite generators and the frame set conjecture	5
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Kernel conjugate gradient methods with random projections	4
The springback penalty for robust signal recovery	4
Hierarchical isometry properties of hierarchical measurements	4
Signal recovery from a few linear measurements of its high-order spectra	4
Editorial Board	4
Duality for Neural Networks through Reproducing Kernel Banach Spaces	4
Optimal rates for functional linear regression with general regularization	4
Positive definite multi-kernels for scattered data interpolations	4
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Representation of operators using fusion frames	4
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts	4
Multiresolution mode decomposition for adaptive time series analysis	4
Editorial Board	4
Error analysis for denoising smooth modulo signals on a graph	4
Decentralized learning over a network with Nyström approximation using SGD	4
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	3
A one-bit, comparison-based gradient estimator	3
A unified approach to synchronization problems over subgroups of the orthogonal group	3
Tensor completion by multi-rank via unitary transformation	3
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	3
Unlimited sampling beyond modulo	3
On the existence and estimates of nested spherical designs	3
Harmonic Grassmannian codes	3
A note on spike localization for line spectrum estimation	3
On quadrature for singular integral operators with complex symmetric quadratic forms	3
A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction	3
Editorial Board	3
Near-optimal bounds for generalized orthogonal Procrustes problem via generalized power method	3
Solving PDEs on spheres with physics-informed convolutional neural networks	3
The G-invariant graph Laplacian Part I: Convergence rate and eigendecomposition	3
Cautious active clustering	3
A stochastic sparse representation: n-best approximation to random signals and computation	3
Hirschman–Widder densities	3
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	3
Algebraic compressed sensing	3
On a discrete transform of homogeneous decomposition spaces	3
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	3
Beurling dimension of spectra for a class of random convolutions on R<	3
Optimal (α,d)-multi-completion of d-designs	3
Geometric component analysis and its applications to data analysis	3
EDMD for expanding circle maps and their complex perturbations	3
A divide-and-conquer algorithm for distributed optimization on networks	3
Generalization bounds for sparse random feature expansions	2
Phase function methods for second order linear ordinary differential equations with turning points	2
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	2
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences	2
On the evaluation of the eigendecomposition of the Airy integral operator	2
Biorthogonal Greedy Algorithms in convex optimization	2
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	2
Local structure and effective dimensionality of time series data sets	2
How robust is randomized blind deconvolution via nuclear norm minimization against adversarial noise?	2
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	2
Signal separation based on adaptive continuous wavelet-like transform and analysis	2
Gabor frame bound optimizations	2
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	2
Spectrality of generalized Sierpinski-type self-affine measures	2

Reproducing kernel Hilbert space compactification of unitary evolution groups	2
Estimates on learning rates for multi-penalty distribution regression	2
Editorial Board	2
Editorial Board	2
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	2
Injectivity of Gabor phase retrieval from lattice measurements	2
Generative modeling via tensor train sketching	2
Dilational symmetries of decomposition and coorbit spaces	2
Complete interpolating sequences for the Gaussian shift-invariant space	2
Approximate super-resolution of positive measures in all dimensions	2
Graph Fourier transform based on ℓ1 norm variation minimization	2
AP-frames and stationary random processes	2
On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions	2
Approximation bounds for norm constrained neural networks with applications to regression and GANs	2
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices	2
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	2