OOIR: Observatory of International Research

Papers

(The median citation count of Analysis and Applications is 1. 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
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems	25
Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform	17
Learning theory of minimum error entropy under weak moment conditions	16
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces	15
Approximating functions with multi-features by deep convolutional neural networks	15
Communication-efficient estimation of high-dimensional quantile regression	14
A simultaneous decomposition for three quaternion tensors with applications in color video signal processing	13
On Cucker–Smale dynamical systems with degenerate communication	10
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds	10
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	9
Neural ODEs as the deep limit of ResNets with constant weights	9
On the global operator and Fueter mapping theorem for slice polyanalytic functions	9
Mixed-norm Herz spaces and their applications in related Hardy spaces	8
Analytical expressions of copositivity for fourth-order symmetric tensors	8
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization	7
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces	7
A new theory of fractional differential calculus	7
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	7
Simplified error bounds for turning point expansions	6
Robust recovery of signals with partially known support information using weighted BPDN	6
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	6
Topological states and continuum model for swarmalators without force reciprocity	6
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node	5
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients	5
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case	5

Boundedness and compactness of commutators associated with Lipschitz functions	5
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids	5
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	5
Weighted lp − l1 minimization methods for block sparse recovery and rank minimization	5
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	5
Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum	5
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints	4
High-order low-bit Sigma-Delta quantization for fusion frames	4
Approximations with deep neural networks in Sobolev time-space	4
Balanced joint maximum mean discrepancy for deep transfer learning	4
Sparse representation of approximation to identity	4
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	4
Sparse additive machine with ramp loss	3
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	3
On the spherical slice transform	3
Iteratively consistent one-bit phase retrieval	3
Minimum norm interpolation in the ℓ1(ℕ) space	3
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	3
On the global L∞→BMO mapping property for Fourier integral operators	3
Neural network interpolation operators activated by smooth ramp functions	3
Fourier–Bessel series of compactly supported convolutions on disks	3
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials	3
Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies	3
Algorithmic versatility of SPF-regularization methods	3
Nonlinear approximation spaces for inverse problems	2
Implicit regularization with strongly convex bias: Stability and acceleration	2
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	2
A new binary representation method for shape convexity and application to image segmentation	2
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	2
Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values	2
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	2
Sparse regularization with the ℓ0 norm	2
Distributions of anisotropic order and applications to H-distributions	2
Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions	2
On the regularity of multilinear Schrödinger integral operators	2
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation	2
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	2
Operator-valued positive definite kernels and differentiable universality	2
Spline representation and redundancies of one-dimensional ReLU neural network models	2
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	2
BiGCN: A bi-directional low-pass filtering graph neural network	1
A machine learning approach to optimal Tikhonov regularization I: Affine manifolds	1
Learning rates for partially linear support vector machine in high dimensions	1
Regularized limit, analytic continuation and finite-part integration	1
Optimal control of a reaction–diffusion model related to the spread of COVID-19	1
The Fourier transform of thick distributions	1
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	1
Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction	1
Approximation, characterization, and continuity of multivariate monotonic regression functions	1

Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions	1
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	1
Explicit representations for Banach subspaces of Lizorkin distributions	1
Approximation of the Mumford–Shah functional by phase fields of bounded variation	1
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition	1
Asymptotics of the Charlier polynomials via difference equation methods	1
Gabor frame characterizations of generalized modulation spaces	1
Zero inertia limit of incompressible Qian–Sheng model	1
Data informed solution estimation for forward-backward stochastic differential equations	1
Recent advances in asymptotic analysis	1