PRORED: a hybrid transformer framework with progressive refinement decoding for segmenting dynamic speech MRI. [PDF]
He Y, Zhang Q, Miquel ME.
europepmc +1 more source
IUM-hybrid model for enhanced CAD diagnosis using deep learning and VS Grad-CAM visualization. [PDF]
Revathi CK, Santhi H.
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Validation of a Deep Learning U-Net Algorithm for Multistructure Segmentation of Infrarenal Abdominal Aortic Aneurysms including Lumen, Thrombus, and Calcifications. [PDF]
Derycke L +5 more
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Annotation Hausdorff convergence and the fundamental group
Mathematische Zeitschrift, 1997Wilderich Tuschmann +1 more
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ON HAUSDORFF-GROMOV CONVERGENCE AND A THEOREM OF PAULIN
1994Summary: We give an elementary account of ideas related to Hausdorff-Gromov convergence and explain how, among other things, these ideas can be used to prove a theorem of F. Paulin: If a group \(\Gamma\) is word hyperbolic and its outer automorphism group is infinite, then \(\Gamma\) acts by isometries on an \(\mathbb{R}\)-tree with virtually cyclic ...
Bridson, M. R., Swarup, G. A.
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THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION
Fractals, 2021In this paper, we investigate how many real numbers can be well approximated by their convergents in the Engel expansions. Furthermore, the relative growth rate of convergence speed of convergents in the Engel expansion of an irrational number is studied to the rate of growth of its digits.
ZHENLIANG ZHANG, XIAOYAN TAN
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Gromov-Hausdorff convergence to nonmanifolds
The Journal of Geometric Analysis, 1995We construct sequences of 7-spheres in Gromov-Hausdorff space converging to non-manifolds. The manifolds in these sequences have a common contractibility function. There are two main classes of examples -- examples for which the limit is an infinite dimensional space of finite cohomological dimension and examples for which the limit is a finite ...
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\(\Gamma\) convergence of Hausdorff measures
2005Starting from the Golab Theorem, which states that in a metric space \((Q,d)\) the Hausdorff measure \({\mathcal H}^1_d\), when restricted to the class of the compact connected subsets of \(Q\), is lower semicontinuous for the Hausdorff distance between sets, it is shown that actually a more general result holds for the \(\Gamma\)-convergence of ...
BUTTAZZO, GIUSEPPE, B. SCHWEIZER
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The Baker-Campbell-Hausdorff formula and the convergence of the Magnus expansion
Journal of Physics A: Mathematical and General, 1989The authors show that for a wide class of dynamical systems (described by Hamiltonians of the form usually considered in time-dependent perturbation theory) the divergence of the Magnus expansion in the Schrodinger picture for large time intervals is due to pole singularities inherent to the Baker-Campbell-Hausdorff formula.
Klarsfeld, S., Oteo, J.A.
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