Results 41 to 50 of about 1,368 (203)

Retinal Vessel Segmentation: A Comprehensive Review From Classical Methods to Deep Learning Advances (1982–2025)

Advanced Intelligent Systems, EarlyView.
Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal, Jan Kubíček, Jana Bahrová, Alice Varyšová, Martin Augustýnek, Marek Penhaker, Juraj Timkovič   +6 more
wiley   +1 more source

Higher order fréchet derivatives of matrix functions and the level-2 condition number [PDF]

, 2013
© 2014 SIAM.The Fréchet derivative Lf of a matrix function f: ℂn×n → ℂn×n controls the sensitivity of the function to small perturbations in the matrix. While much is known about the properties of Lf and how to compute it, little attention has been given
Higham, Nicholas J., Relton, Samuel D.
core   +1 more source

Xstainer: A Novel Virtual Staining Tool Powered by Advanced Deep Learning Techniques

Advanced Intelligent Systems, EarlyView.
Xstainer is a deep learning–based virtual staining framework that converts hematoxylin and eosin‐stained whole slide images into multiple histochemical stains, including Masson's trichrome, Periodic acid‐Schiff, Jones methenamine silver, and Toluidine blue.
Fatma Nur Kinali, Derya Demir, Kutsev B. Ozyoruk, Yasin Almalioglu, Emre C. Kose, Drew F. K. Williamson, Gurdeniz Serin, G. Evren Keles, Banu S. Kumbaraci, Ceren Utku, Uguray P. Hacisalihoglu, Ilknur Turkmen, Figen Ozturk, Kayhan Basak, Yavuz Nuri Ertas, Mehmet Turan   +15 more
wiley   +1 more source

Extending the Applicability of Stirling’s Method

Mathematics, 2019
Stirling’s method is considered as an alternative to Newton’s method when the latter fails to converge to a solution of a nonlinear equation.
Cristina Amorós, Ioannis K. Argyros, Á. Alberto Magreñán, Samundra Regmi, Rubén González, Juan Antonio Sicilia   +5 more
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Characterization of the Fréchet derivative of the elasto-acoustic field with respect to Lipschitz domains

, 2013
International audienceWe establish the continuous Fréchet differentiability of the elasto-acoustic field with respect to Lipschitz continuous deformation of the shape of an elastic scatterer.
Djellouli, Rabia, Barucq, Hélène, Estecahandy, Elodie   +2 more
core   +1 more source

Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem [PDF]

, 2005
Sufficient conditions are found under which the solutions z(t;q) of a semilinear abstract Cauchy problem of the form ddtz(t)=A(q)z(t)+F(q,t,z(t)) are Fréchet differentiable with respect to the parameter q. An explicit form is provided for the sensitivity
Terry Herdman, Spies, Ruben Daniel, Ruben Spies, Herdman, Terry, Spies, Ruben   +4 more
core   +1 more source

The Fréchet Derivative of the Tensor t-Function [PDF]

, 2023
The tensor t-function, a formalism that generalizes the well-known concept of matrix functions to third-order tensors, is introduced in [K. Lund, The tensor t-function: a definition for functions of third-order tensors, Numer. Linear Algebra Appl. 27 (3),
Schweitzer, Marcel, Marcel Schweitzer, Schweitzer, M., Kathryn Lund, Lund, K., Lund, Kathryn   +5 more
core   +1 more source

Some results for Volterra integro-differential equations depending on derivative in unbounded domains

Ratio Mathematica, 2019
In this paper we study the existence of continuous solutions of an integro-differential equation in unbounded interval depending on derivative This paper extend some results obtained by the authors using the technique developed in their previous paper ...
Giuseppe Anichini, Giuseppe Conti, Alberto Trotta   +2 more
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source