Results 121 to 130 of about 568,612 (221)

Unified Ray and Amplitude Tracing ODE Systems for the Eikonal and Transport Equations via Contact Geometry

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT High‐frequency seismic wave descriptions are essential for fundamental geophysical applications, including earthquake hypocenter location, magnitude estimation, and traveltime–amplitude tomography. These descriptions rely on two coupled PDEs: the eikonal equation (governing traveltimes) and the transport equation (governing amplitudes ...
Ahmet Beyaz, Çağrı Diner, Mustafa Tevfik Aktar   +2 more
wiley   +1 more source

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Applied Sciences
In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko   +4 more
doaj   +1 more source

Repelled Point Processes With Application to Numerical Integration

Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1101-1133, September 2026.
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat, Gabriel Mastrilli, Rémi Bardenet, Raphaël Lachièze‐Rey   +3 more
wiley   +1 more source

Singular integral equations with a Cauchy kernel

Journal of Computational and Applied Mathematics, 1986
The author proposes a method to obtain closed form expressions for continuously differentiable even solution function \(\phi\) (\(\omega)\) for the linear singular integral equation \[ \phi (\omega)-\frac{\lambda (\omega)}{\pi}\int^{\infty}_{-\infty}\frac{\phi (y)}{\omega - y}dy=f(o) \] where \(\lambda\) (\(\omega)\), f(\(\omega)\) are given ...
openaire   +2 more sources

Sparse Minimum Redundancy Maximum Relevance for Feature Selection

Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1134-1151, September 2026.
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as ...
Peter Naylor, Benjamin Poignard, Héctor Climente‐González, Makoto Yamada   +3 more
wiley   +1 more source

Maximum a posteriori based unsupervised learning for images deblurring with cauchy noise

Applied Mathematics in Science and Engineering
In image restoration with a known blur kernel, Gaussian noise is commonly assumed, and corresponding removal methods have been extensively studied.
Meina Zhang, Yingying Li, Qingjie Cui, Guoxi Ni   +3 more
doaj   +1 more source

Bayesian Inference for Multivariate Monotone Densities

Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1206-1229, September 2026.
ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley   +1 more source

Nonsymmetric Cauchy kernel, crystals and last passage percolation

Tunisian Journal of Mathematics
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory.
Azenhas, Olga, Gobet, Thomas, Lecouvey, Cédric   +2 more
openaire   +3 more sources

Cauchy identities for staircase matrices

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi   +2 more
wiley   +1 more source

On some applications of the essential norms of singular integral operators

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper, we calculate the norms and essential norms of singular operators with the Cauchy kernel. We also determine the conditions under which these quantities coincide.
Diana Bîclea, Petru Moloșnic
doaj   +1 more source