Results 151 to 160 of about 3,827,469 (279)
Lipschitz-based robustness estimation for hyperdimensional learning. [PDF]
Front Artif IntellYeung C +5 more
europepmc +1 more source
Fourier Coefficients and Generalized Lipschitz Classes
, 2008 In this paper we give some equivalence relations between behavior of Fourier coefficients of a special kind and smoothness of functions. A necessary and sufficient condition for existence of Schwartz derivative is also obtained.
openaire +1 more source
Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej +3 more
wiley +1 more source
Isometric representations in neural networks improve robustness. [PDF]
Sci RepBeshkov K, Verhellen J, Lepperød ME.
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Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley +1 more source
Bounded Variation Separates Weak and Strong Average Lipschitz. [PDF]
Entropy (Basel)Elperin A, Kontorovich A.
europepmc +1 more source
Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley +1 more source
Pólya's conjecture for Dirichlet eigenvalues of annuli
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov +3 more
wiley +1 more source