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A review on molecular simulations for the rupture of cross-linked polymer networks. [PDF]
Masubuchi Y +3 more
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BOLD complexity characterizes glioblastoma survival via voxel-wise and localized sample entropy. [PDF]
Gu M +6 more
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Persistent topology of decision boundaries
2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015Topological signal processing, especially persistent homology, is a growing field of study for analyzing sets of data points that has been heretofore applied to unlabeled data. In this work, we consider the case of labeled data and examine the topology of the decision boundary separating different labeled classes.
Kush R. Varshney +1 more
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BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES
Nagoya Mathematical Journal, 2016As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the
Akiyama, Shigeki, Loridant, Benoît
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Topological Boundaries for Countable State Markov Shifts
Proceedings of the London Mathematical Society, 1995Let \((S, \sigma)\) be a transitive locally compact countable state Markov shift. If \((\widehat {S}, \widehat {\sigma})\) is some compact metric dynamical system (cmds) that contains \((S, \sigma)\) as a dense subsystem then the space \(S^*= \widehat {S}- S\) together with the homeomorphism \(\sigma^*= \widehat {\sigma}|_{S^*}\) will be called a ...
Fiebig, Doris, Fiebig, Ulf-Rainer
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Tunneling boundary condition and topology change
Physical Review D, 1995In this paper the tunneling boundary condition is reexamined in terms of the Morse function. The use of this function permits one, on the one hand, to describe the shape of the singularity when topology change is allowed, and, on the other hand, to define, in the same situation, a slicing procedure which allows one to define the boundary of superspace ...
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Mesh Composition on Models with Arbitrary Boundary Topology
IEEE Transactions on Visualization and Computer Graphics, 2008This paper presents a new approach for the mesh composition on models with arbitrary boundary topology. After cutting the needed parts from existing mesh models and putting them into the right pose, an implicit surface is adopted to smoothly interpolate the boundaries of models under composition.
Lin, Juncong +3 more
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