Results 261 to 270 of about 354,587 (290)

Persistent topology of decision boundaries

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015
Topological 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, Karthikeyan Natesan Ramamurthy   +1 more
openaire   +1 more source

BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES

Nagoya Mathematical Journal, 2016
As 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
openaire   +2 more sources

Topological Boundaries for Countable State Markov Shifts

Proceedings of the London Mathematical Society, 1995
Let \((S, \sigma)\) 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
openaire   +1 more source

Tunneling boundary condition and topology change

Physical Review D, 1995
In 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 ...
openaire   +2 more sources

Mesh Composition on Models with Arbitrary Boundary Topology

IEEE Transactions on Visualization and Computer Graphics, 2008
This 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, Jin, Xiaogang, Wang, Charlie, Hui, Kin-Chuen   +3 more
openaire   +2 more sources

Arresting grain boundaries with topology

Nature Materials, 2021
openaire   +2 more sources

Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and model order reduction techniques

Computer Methods in Applied Mechanics and Engineering, 2022
Sundararajan Natarajan, Leilei Chen
exaly  

Two-scale topology optimisation of cellular materials under mixed boundary conditions

International Journal of Mechanical Sciences, 2022
Marco Montemurro
exaly  

Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods

Computer Methods in Applied Mechanics and Engineering, 2020
Leilei Chen, Haojie Lian, Zhaowei Liu
exaly