OOIR: Observatory of International Research

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 2020-04-01 to 2024-04-01.)

Article	Citations
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation	46
Spectrality of self-affine Sierpinski-type measures on R	45
Graph convolutional neural networks via scattering	42
Aliasing error of the exp⁡(β<	33
Fractional Fourier transforms on L and applications	32
Reproducing kernel Hilbert space compactification of unitary evolution groups	29
Stable super-resolution limit and smallest singular value of restricted Fourier matrices	28
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	27
Koopman spectra in reproducing kernel Hilbert spaces	23
Distributed kernel gradient descent algorithm for minimum error entropy principle	21
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	21
Uniqueness of STFT phase retrieval for bandlimited functions	21
Large data and zero noise limits of graph-based semi-supervised learning algorithms	21
Perspectives on CUR decompositions	21
Phase retrieval of real-valued signals in a shift-invariant space	20
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences	19
Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces	19
Signal separation based on adaptive continuous wavelet-like transform and analysis	17
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts	17
ℓ1-Analysis minimization and generalized (co-)sparsity: When does recovery succeed?	17
A sharp upper bound for sampling numbers in L2	16
Approximate support recovery of atomic line spectral estimation: A tale of resolution and precision	16
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	15
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	14
Maximum entropy models from phase harmonic covariances	14

Spectrality of generalized Sierpinski-type self-affine measures	14
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	14
On signal reconstruction from FROG measurements	13
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples	13
Learning under (1 + ϵ)-moment conditions	13
Time-frequency transforms of white noises and Gaussian analytic functions	13
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	13
Low-rank matrix recovery via regularized nuclear norm minimization	13
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	12
A mathematical theory of the computational resolution limit in one dimension	12
An edge driven wavelet frame model for image restoration	12
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	12
Sparse non-negative super-resolution — simplified and stabilised	12
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere	11
Gabor phase retrieval is severely ill-posed	11
Convex optimization in sums of Banach spaces	11
A necessary and sufficient condition for sparse vector recovery via ℓ1 − ℓ2 minimization	11
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications	11
Graph Fourier transform based on ℓ1 norm variation minimization	11
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices	11
Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms	10
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	10
Quasi-projection operators in weighted L spaces	10
Complex best r-term approximations almost always exist in finite dimensions	9
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	9
How to get high resolution results from sparse and coarsely sampled data	9
Defining the wavelet bispectrum	9
Data-driven spatiotemporal modal decomposition for time frequency analysis	9
Injectivity of Gabor phase retrieval from lattice measurements	9
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE	9
Estimation under group actions: Recovering orbits from invariants	9
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	8
Regularization of inverse problems by filtered diagonal frame decomposition	8
Group sparse recovery in impulsive noise via alternating direction method of multipliers	8
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs	8
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	8
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	8
A classification of anisotropic Besov spaces	8
Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions	8
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application	8
Generalization bounds for sparse random feature expansions	8
Dynamical sampling for shift-preserving operators	8
Activation function design for deep networks: linearity and effective initialisation	8
Intertwining wavelets or multiresolution analysis on graphs through random forests	8
Rician noise removal via weighted nuclear norm penalization	8
Neural collapse under cross-entropy loss	8
The universal approximation theorem for complex-valued neural networks	8
Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets	7
Interpolating splines on graphs for data science applications	7
Generalizing CoSaMP to signals from a union of low dimensional linear subspaces	7

Multi-view kernel consensus for data analysis	7
Differentially private SGD with non-smooth losses	7
A fast simple algorithm for computing the potential of charges on a line	7
Multiresolution mode decomposition for adaptive time series analysis	6
The diffusion geometry of fibre bundles: Horizontal diffusion maps	6
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets	6
A multiscale environment for learning by diffusion	6
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	6
A stochastic sparse representation: n-best approximation to random signals and computation	6
Constructive subsampling of finite frames with applications in optimal function recovery	6
Understanding neural networks with reproducing kernel Banach spaces	6
Almost everywhere generalized phase retrieval	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Phase retrieval using alternating minimization in a batch setting	6
Computing committors in collective variables via Mahalanobis diffusion maps	6
Diffusion K-means clustering on manifolds: Provable exact recovery via semidefinite relaxations	6