Applied and Computational Harmonic Analysis

Papers
(The TQCC of Applied and Computational Harmonic Analysis is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
Spectrality of self-affine Sierpinski-type measures on R48
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation47
Graph convolutional neural networks via scattering43
Fractional Fourier transforms on L and applications34
Aliasing error of the exp(β<34
Reproducing kernel Hilbert space compactification of unitary evolution groups30
Stable super-resolution limit and smallest singular value of restricted Fourier matrices28
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks28
Koopman spectra in reproducing kernel Hilbert spaces23
Phase retrieval of real-valued signals in a shift-invariant space22
Perspectives on CUR decompositions22
Distributed kernel gradient descent algorithm for minimum error entropy principle22
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves22
Uniqueness of STFT phase retrieval for bandlimited functions22
Large data and zero noise limits of graph-based semi-supervised learning algorithms21
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences20
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts19
Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces19
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples18
ℓ1-Analysis minimization and generalized (co-)sparsity: When does recovery succeed?18
A sharp upper bound for sampling numbers in L218
Signal separation based on adaptive continuous wavelet-like transform and analysis17
Approximate support recovery of atomic line spectral estimation: A tale of resolution and precision17
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration16
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions15
Learning under (1 + ϵ)-moment conditions15
On signal reconstruction from FROG measurements15
Time-frequency transforms of white noises and Gaussian analytic functions14
Maximum entropy models from phase harmonic covariances14
Spectrality of generalized Sierpinski-type self-affine measures14
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing13
Low-rank matrix recovery via regularized nuclear norm minimization13
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods13
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples13
Random sampling and reconstruction of concentrated signals in a reproducing kernel space12
Convex optimization in sums of Banach spaces12
An edge driven wavelet frame model for image restoration12
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications12
A mathematical theory of the computational resolution limit in one dimension12
Graph Fourier transform based on ℓ1 norm variation minimization12
Sparse non-negative super-resolution — simplified and stabilised12
Generalization bounds for sparse random feature expansions11
Estimation under group actions: Recovering orbits from invariants11
A necessary and sufficient condition for sparse vector recovery via ℓ1 − ℓ2 minimization11
Gabor phase retrieval is severely ill-posed11
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices11
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere11
Defining the wavelet bispectrum11
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs10
Injectivity of Gabor phase retrieval from lattice measurements10
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization10
The universal approximation theorem for complex-valued neural networks10
Riesz transform associated with the fractional Fourier transform and applications in image edge detection10
Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms10
Quasi-projection operators in weighted L spaces10
Rician noise removal via weighted nuclear norm penalization9
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE9
Group sparse recovery in impulsive noise via alternating direction method of multipliers9
Complex best r-term approximations almost always exist in finite dimensions9
Data-driven spatiotemporal modal decomposition for time frequency analysis9
How to get high resolution results from sparse and coarsely sampled data9
Dynamical sampling for shift-preserving operators9
Regularization of inverse problems by filtered diagonal frame decomposition8
Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions8
Neural collapse under cross-entropy loss8
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies8
Intertwining wavelets or multiresolution analysis on graphs through random forests8
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs8
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application8
Activation function design for deep networks: linearity and effective initialisation8
A classification of anisotropic Besov spaces8
A fast simple algorithm for computing the potential of charges on a line8
Analysis and algorithms for ℓ-based semi-supervised learning on graphs8
Differentially private SGD with non-smooth losses7
Interpolating splines on graphs for data science applications7
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets7
Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets7
Constructive subsampling of finite frames with applications in optimal function recovery7
Multi-view kernel consensus for data analysis7
A multiscale environment for learning by diffusion7
Generalizing CoSaMP to signals from a union of low dimensional linear subspaces7
Stable phase retrieval from locally stable and conditionally connected measurements7
Transferability of graph neural networks: An extended graphon approach6
Diffusion K-means clustering on manifolds: Provable exact recovery via semidefinite relaxations6
Gaussian and sparse processes are limits of generalized Poisson processes6
Understanding neural networks with reproducing kernel Banach spaces6
A stochastic sparse representation: n-best approximation to random signals and computation6
Phase retrieval using alternating minimization in a batch setting6
Computing committors in collective variables via Mahalanobis diffusion maps6
The recovery of complex sparse signals from few phaseless measurements6
Multiresolution mode decomposition for adaptive time series analysis6
Almost everywhere generalized phase retrieval6
The diffusion geometry of fibre bundles: Horizontal diffusion maps6
Capacity dependent analysis for functional online learning algorithms6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit6
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