Analysis and Applications

Papers
(The TQCC of Analysis and Applications is 3. 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
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems26
Approximating functions with multi-features by deep convolutional neural networks20
Learning theory of minimum error entropy under weak moment conditions17
Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform17
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces15
Communication-efficient estimation of high-dimensional quantile regression14
A simultaneous decomposition for three quaternion tensors with applications in color video signal processing13
On Cucker–Smale dynamical systems with degenerate communication12
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal11
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds9
Neural ODEs as the deep limit of ResNets with constant weights9
On the global operator and Fueter mapping theorem for slice polyanalytic functions9
Analytical expressions of copositivity for fourth-order symmetric tensors8
Mixed-norm Herz spaces and their applications in related Hardy spaces8
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations8
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization8
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces7
A new theory of fractional differential calculus7
Simplified error bounds for turning point expansions6
Weighted lp − l1 minimization methods for block sparse recovery and rank minimization6
Robust recovery of signals with partially known support information using weighted BPDN6
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 case6
Topological states and continuum model for swarmalators without force reciprocity6
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization6
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients5
Boundedness and compactness of commutators associated with Lipschitz functions5
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node5
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids5
Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum5
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints5
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity5
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks5
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems4
Approximations with deep neural networks in Sobolev time-space4
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials4
Fourier–Bessel series of compactly supported convolutions on disks4
Sparse representation of approximation to identity4
Balanced joint maximum mean discrepancy for deep transfer learning4
Neural network interpolation operators activated by smooth ramp functions4
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion4
High-order low-bit Sigma-Delta quantization for fusion frames4
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property3
Iteratively consistent one-bit phase retrieval3
Instability of closed p-elastic curves in ?23
Operator-valued positive definite kernels and differentiable universality3
A new binary representation method for shape convexity and application to image segmentation3
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials3
Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies3
On the global L∞→BMO mapping property for Fourier integral operators3
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category3
Sparse additive machine with ramp loss3
Learning rates for partially linear support vector machine in high dimensions3
Nonlinear approximation spaces for inverse problems3
On the spherical slice transform3
Algorithmic versatility of SPF-regularization methods3
Minimum norm interpolation in the ℓ1(ℕ) space3
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting3
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