Applied and Computational Harmonic Analysis

Article	Citations
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	55
The affine Wigner distribution	47
Inversion of the attenuated X-ray transforms — Method of convolution-backprojection	39
Frames of translates for model sets	39
Convex optimization in sums of Banach spaces	35
Strongly convex optimization for joint fractal feature estimation and texture segmentation	33
Adapting free-space fast multipole method for layered media Green's function: Algorithm and analysis	26
Strictly proper kernel scores and characteristic kernels on compact spaces	25
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable	23
Fractional Hardy-Sobolev L1-embedding per capacity-duality	23
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	21
A sufficient condition for mobile sampling in terms of surface density	20
On the numerical evaluation of the prolate spheroidal wave functions of order zero	19
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	19
Divergence-free quasi-interpolation	19
Conditional expectation using compactification operators	18
Exponential lower bound for the eigenvalues of the time-frequency localization operator before the plunge region	18
Editorial Board	17
Towards a bilipschitz invariant theory	16
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	16
Toric symplectic geometry and full spark frames	16
Analytic and directional wavelet packets in the space of periodic signals	16
Matrix recovery from permutations	16
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	16
Non-separable multidimensional multiresolution wavelets: A Douglas-Rachford approach	16

Spatiotemporal analysis using Riemannian composition of diffusion operators	16
Estimation under group actions: Recovering orbits from invariants	15
Learning ability of interpolating deep convolutional neural networks	14
Editorial Board	13
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	13
Error bounds for kernel-based approximations of the Koopman operator	13
Quasi-projection operators in weighted L spaces	13
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices	12
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications	12
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	12
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	12
Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets	11
Understanding neural networks with reproducing kernel Banach spaces	11
Deep microlocal reconstruction for limited-angle tomography	11
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets	11
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	11
The beltway problem over orthogonal groups	10
Scale dependencies and self-similar models with wavelet scattering spectra	10
Naimark-spatial families of equichordal tight fusion frames	10
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	10
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	10
Capacity dependent analysis for functional online learning algorithms	10
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	10
LU decomposition and Toeplitz decomposition of a neural network	9
Needlets liberated	9
Low-rank matrix recovery via regularized nuclear norm minimization	9
The metaplectic action on modulation spaces	9
Synthesis-based time-scale transforms for non-stationary signals	9
Defining the wavelet bispectrum	8
The mystery of Carleson frames	8
Spectrality of self-affine Sierpinski-type measures on R	8
When does OMP achieve exact recovery with continuous dictionaries?	8
Constructive subsampling of finite frames with applications in optimal function recovery	7
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	7
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	7
Kernel conjugate gradient methods with random projections	7
Editorial Board	7
Stable phase retrieval from locally stable and conditionally connected measurements	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Phase retrieval for sub-Gaussian measurements	7
Editorial Board	6
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	6
High-probability generalization bounds for pointwise uniformly stable algorithms	6
Nodal domain count for the generalized graph p-Laplacian	6
Computing committors in collective variables via Mahalanobis diffusion maps	6
Approximating the span of principal components via iterative least-squares	6
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	5
Rate-optimal sparse approximation of compact break-of-scale embeddings	5
The sparsity of LASSO-type minimizers	5
Robust sparse recovery with sparse Bernoulli matrices via expanders	5

Transferability of graph neural networks: An extended graphon approach	5
Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes	5
Representation of operators using fusion frames	5
Perfect reconstruction two-channel filter banks on arbitrary graphs	5
Editorial Board	5
Spectral analysis of weighted Laplacians arising in data clustering	5
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	5
A noncommutative approach to the graphon Fourier transform	5
Weighted variation spaces and approximation by shallow ReLU networks	5
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	5
Editorial Board	5
Variable bandwidth via Wilson bases	5
Dynamical sampling for shift-preserving operators	5
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	5
Time and band limiting for exceptional polynomials	5
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	5
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	5
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts	5
Editorial Board	5
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces	5
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	5
Finding duality for Riesz bases of exponentials on multi-tiles	5
Lower bounds on the low-distortion embedding dimension of submanifolds of 4
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	4
Cautious active clustering	4
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences	4
Approximate super-resolution of positive measures in all dimensions	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
A perturbative analysis for noisy spectral estimation	4
Compressed sensing of low-rank plus sparse matrices	4
A divide-and-conquer algorithm for distributed optimization on networks	4
Geometric component analysis and its applications to data analysis	4
A stochastic sparse representation: n-best approximation to random signals and computation	4
Error analysis for denoising smooth modulo signals on a graph	4
Inverse problems are solvable on real number signal processing hardware	4
The universal approximation theorem for complex-valued neural networks	4
Complete interpolating sequences for the Gaussian shift-invariant space	4
Editorial Board	4
On a discrete transform of homogeneous decomposition spaces	4
Multiresolution mode decomposition for adaptive time series analysis	4
Multidimensional unstructured sparse recovery via eigenmatrix	4
Generative modeling via tensor train sketching	3
Editorial Board	3
On the Schatten p-quasi-norm minimization for low-rank matrix recovery	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
AP-frames and stationary random processes	3
Near-optimal bounds for generalized orthogonal Procrustes problem via generalized power method	3
Hierarchical isometry properties of hierarchical measurements	3
Editorial Board	3
Editorial Board	3
Estimates on learning rates for multi-penalty distribution regression	3
The springback penalty for robust signal recovery	3
Hirschman–Widder densities	3
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	3
On the evaluation of the eigendecomposition of the Airy integral operator	3
Dilational symmetries of decomposition and coorbit spaces	3
Optimal (α,d)-multi-completion of d-designs	3
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	3
Positive definite multi-kernels for scattered data interpolations	3
Signal recovery from a few linear measurements of its high-order spectra	3
A unified approach to synchronization problems over subgroups of the orthogonal group	3
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	3
Decentralized learning over a network with Nyström approximation using SGD	3
Spectrality of generalized Sierpinski-type self-affine measures	2
Graph Fourier transform based on ℓ1 norm variation minimization	2
A one-bit, comparison-based gradient estimator	2
Multidimensional scaling of noisy high dimensional data	2
Beurling dimension of spectra for a class of random convolutions on R<	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
Unlimited sampling beyond modulo	2
Algebraic compressed sensing	2
Tensor completion by multi-rank via unitary transformation	2
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	2
Injectivity of Gabor phase retrieval from lattice measurements	2
Phase function methods for second order linear ordinary differential equations with turning points	2
Signal separation based on adaptive continuous wavelet-like transform and analysis	2
Biorthogonal Greedy Algorithms in convex optimization	2
Harmonic Grassmannian codes	2
A note on spike localization for line spectrum estimation	2
Gabor frame bound optimizations	2

Analysis and algorithms for ℓ-based semi-supervised learning on graphs	2
Solving PDEs on spheres with physics-informed convolutional neural networks	2
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	2
Local structure and effective dimensionality of time series data sets	2
On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions	2
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	2
Generalization bounds for sparse random feature expansions	2
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	2
On the existence and estimates of nested spherical designs	2
Reproducing kernel Hilbert space compactification of unitary evolution groups	2
EDMD for expanding circle maps and their complex perturbations	2
The G-invariant graph Laplacian Part I: Convergence rate and eigendecomposition	2
A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction	2
On quadrature for singular integral operators with complex symmetric quadratic forms	2
Stable super-resolution limit and smallest singular value of restricted Fourier matrices	2
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application	2
Neural collapse under cross-entropy loss	2
A simple approach for quantizing neural networks	2