Results 11 to 20 of about 1,148 (183)

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain. [PDF]

Adv Sci (Weinh)
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Di Antonio G, Gili T, Gabrielli A, Mattia M.   +3 more
europepmc   +2 more sources

Development and implementation of a unified curriculum in math, statistics, computing, and informatics with financial considerations for medical physics graduate programs. [PDF]

J Appl Clin Med Phys
Abstract Background AAPM Report No. 365 recommends that medical physics graduate programs offer courses covering both mathematical and statistical methods (Section 3.1.7) as well as computational methods and medical informatics (Section 3.1.8). While our program seeks to incorporate both of these essential areas into the curriculum, various financial ...
Chang J, Vaccarelli MJ.
europepmc   +2 more sources

Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure

Applied Sciences, 2023
Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li, Fei Cheng, Hang Zheng, Zhiguo Shi, Chengwei Zhou   +4 more
doaj   +1 more source

GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

Проблемы анализа, 2022
Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
M. El Hamma, A. Mahfoud
doaj   +1 more source

The Hankel transform of causal distributions

Revista de Matemática: Teoría y Aplicaciones, 2012
In this note we evaluate the unidimensional distributional Hankel transform of \dfrac{x^{\alpha-1}_{+}}{\Gamma^{\alpha}},\dfrac{x^{\alpha-1}_{-}}{\Gamma^{\alpha}},dfrac{|x|^{\alpha-1}}{\Gamma^{\frac{\alpha}{2}}},dfrac{|x|^{\alpha-1}sgn(x)}{\Gamma^{\frac{\
Manuel A. Aguirre T.
doaj   +1 more source

About calculation of the Hankel transform using preliminary wavelet transform

Journal of Applied Mathematics, 2003
The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients
E. B. Postnikov
doaj   +1 more source

Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

Fractal and Fractional, 2019
The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 0 for arbitrary powers N is given by the product of quasi C fractions.
Rathinavel Silambarasan, Adem Kılıçman   +1 more
doaj   +1 more source

Density in Spaces of Interpolation by Hankel Translates of a Basis Function

Journal of Function Spaces and Applications, 2013
The function spaces Ym  (m∈ℤ+) arising in the theory of interpolation by Hankel translates of a basis function, as developed by the authors elsewhere, are defined through a seminorm which is expressed in terms of the Hankel transform of each function and
Cristian Arteaga, Isabel Marrero
doaj   +1 more source

Hankel Transform of the Type 2 (p,q)-Analogue of r-Dowling Numbers

Axioms, 2021
In this paper, type 2 (p,q)-analogues of the r-Whitney numbers of the second kind is defined and a combinatorial interpretation in the context of the A-tableaux is given. Moreover, some convolution-type identities, which are useful in deriving the Hankel
Roberto Corcino, Mary Ann Ritzell Vega, Amerah Dibagulun   +2 more
doaj   +1 more source

Fractal Hankel Transform

Fractal and Fractional
This paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork.
Alireza Khalili Golmankhaneh, Hamdullah Şevli, Carlo Cattani, Zoran Vidović   +3 more
doaj   +1 more source