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Deep Learning-Based Inner Ear Subregion Segmentation in 3D T2-Weighted MRI Using Label-Preserving Data Augmentation. [PDF]
Kim W, Kang Y, Lee S, Lee HJ, Nam Y.
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A lightweight deep learning model for automated segmentation of Gynecologic organs and cervical Tumors on T2-weighted magnetic resonance imaging. [PDF]
Twam A +9 more
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AI-driven automation of occlusal surface design in digital prosthodontics: a clinically validated workflow. [PDF]
Du X, Sun W, Yao C, Gao Y, Hu J, Song K.
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DPEA-Net: a clinically-oriented lightweight 3D CNN for glioma segmentation in multiparametric MRI. [PDF]
Hua C, Jing X, Li L, Zhou X.
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The Hausdorff Dimension of Sections*
Chinese Annals of Mathematics, Series B, 2007Taking an iterated function system of contractive similitudes on \(\mathbb{R}^n\) with the same contraction factor and the resultant compact attracting set \(E\) the author considers questions of Hausdorff dimension of sections where a ``section'' is defined as the intersection of \(E\) with a \((n-1)\)-dimensional hyperplane \(L\).
Niu, Min, Xi, Lifeng
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Acta Informatica, 1995
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Helmut Jürgensen, Ludwig Staiger
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Jürgensen, Ludwig Staiger
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On Hausdorff Dimension of Unimodal Attractors
Communications in Mathematical Physics, 2006The paper deals with the \(C^4\) unimodal maps \(f: I\to I\), where \(I\) is a compact interval and \(f\) maps the boundary of \(I\) into itself. Further is supposed that the critical point \(\xi\) of \(f\) \((f'(\xi)= 0)\) belongs to the interior of \(I\) and is nondegenerate \((f''(\xi)\neq 0)\). The authors prove the following result: There exists a
Graczyk, J., Kozlovski, O. S.
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ON HAUSDORFF DIMENSION AND TOPOLOGICAL ENTROPY
Fractals, 2010Let f: X → X be a continuous map of a compact topological space. If there exists a metric function on X and it satisfies some restricted conditions, we obtain some relationships between Hausdorff dimension and topological entropy for any Z ⊆ X. Using those results, we also obtain a variational principle of dimensions, generalize some known results and
Ma, Dongkui, Wu, Min
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HAUSDORFF DIMENSION OF A FAMILY OF NETWORKS
Fractals, 2023For a family of networks [Formula: see text], we define the Hausdorff dimension of [Formula: see text] inspired by the Frostman’s characteristics of potential for Hausdorff dimension of fractals on Euclidean spaces. We prove that our Hausdorff dimension of the touching networks is [Formula: see text] Our definition is quite different from the fractal ...
QINGCHENG ZENG, LIFENG XI
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On Estimations of the Generalized Hausdorff Dimension
Vestnik St. Petersburg University, Mathematics, 2019The authors introduce the abstract concept of a homogeneous dimensional space and associate with such spaces a finite compactness index. Additionally, they define a Hausdorff-Besicovitch dimension spectrum and prove a theorem about the values of the Hausdorff-Besicovitch dimension spectrum for subspaces of homogenous dimensional spaces.
Leonov, G. A., Florinskii, A. A.
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