Results 11 to 20 of about 706 (141)

GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM

open access: yesCAAI Transactions on Intelligence Technology, EarlyView., 2023
Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong   +12 more
wiley   +1 more source

New characterizations of completely monotone functions and Bernstein functions, a converse to Hausdorff’s moment characterization theorem

open access: yesArab Journal of Mathematical Sciences, 2019
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their ...
Rafik Aguech, Wissem Jedidi
doaj   +1 more source

On the multilinear Hausdorff problem of moments [PDF]

open access: yesRevista Matemática Complutense, 2013
Given a multi-index sequence $μ_{\mathbf{k}}$, $\mathbf{k} = (k_1,..., k_n) \in \mathbb{N}_0^n$, necessary and sufficient conditions are given for the existence of a regular Borel polymeasure $γ$ on the unit interval $I= [0,1]$ such that $μ_{\mathbf{k}} = \int_{I^n} t_1^{k_1}\otimes ... \otimes t_n^{k_n} γ$.
Ibort, A.   +2 more
openaire   +3 more sources

Multi-field coupling process of heat-moisture-salt in unsaturated soil

open access: yesYantu gongcheng xuebao, 2019
On the basis of porous media theory, the multi-field coupling problem of temperature-moisture-salt in unsaturated soils under non-steady state conditions is studied.
ZHOU Feng-xi 1,2, GAO Guo-yao 1
doaj   +1 more source

Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

open access: yesSpecial Matrices, 2017
We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
doaj   +1 more source

A note on the Hausdorff moment problem [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
2. A. Zygmund, Trigonometric series, 2nd ed., Vol. I, Cambridge Univ. Press, Cambridge, 1959. 3. G. Szeg6, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ. Vol. 23, Amer. Math. Soc., Providence, R. I., 1939. 4. A. Hfobson, The theory of spherical and ellipsoidal harmonics, Cambridge Univ. Press, Cambridge, 1931. 5. E. Madelung, Die mathematischen
openaire   +2 more sources

The Nevanlinna matrix of the truncated Hausdorff matrix moment problem via orthogonal matrix polynomials on [a,b] for the case of an even number of moments

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
The scalar moment problem was first introduced by T. J. Stieltjes in his work ``Recherches sur les fractions continues'' Annals of the Faculty of Sciences of Toulouse 8, 1--122, (1895).
Б. Е. Медіна-Ернандес
doaj   +1 more source

The Sparse Hausdorff Moment Problem, with Application to Topic Models

open access: yesCoRR, 2020
We consider the problem of identifying, from its first $m$ noisy moments, a probability distribution on $[0,1]$ of support ...
Spencer Gordon   +3 more
openaire   +2 more sources

A statistical minimax approach to the Hausdorff moment problem [PDF]

open access: yesInverse Problems, 2008
The purpose of this paper is to study the problem of estimating a compactly supported density of probability from noisy observations of its moments. In fact, we provide a statistical approach to the famous Hausdorff classical moment problem. We prove an upper bound and a lower bound on the rate of convergence of the mean squared error showing that the ...
openaire   +3 more sources

An Application of Hausdorff Moment Problem

open access: yes, 2023
In this work we apply Hausdorff moment problem to prove a necessary and sufficient condition for a complex sequence to be positive. Then we apply it to a subclass of genus $0$ entire functions $f(z)$ to obtain an infinite family of necessary and sufficient conditions for $f(z)$ to have only negative roots, which in turn to give infinite many necessary ...
openaire   +2 more sources

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