Zobrazeno 1 - 10
of 479
pro vyhledávání: '"A. Tierny"'
Distributed Path Compression for Piecewise Linear Morse-Smale Segmentations and Connected Components
This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. Additionally, we extend the algorithm to efficiently compute connected
Externí odkaz:
http://arxiv.org/abs/2409.03771
This work presents an approach for the automatic detection of locally turbulent vortices within turbulent 2D flows such as instabilites. First, given a time step of the flow, methods from Topological Data Analysis (TDA) are leveraged to extract the g
Externí odkaz:
http://arxiv.org/abs/2408.12662
Topological abstractions offer a method to summarize the behavior of vector fields but computing them robustly can be challenging due to numerical precision issues. One alternative is to represent the vector field using a discrete approach, which con
Externí odkaz:
http://arxiv.org/abs/2408.04769
This paper presents a practical approach for the optimization of topological simplification, a central pre-processing step for the analysis and visualization of scalar data. Given an input scalar field f and a set of "signal" persistence pairs to mai
Externí odkaz:
http://arxiv.org/abs/2407.12399
Autor:
Guillou, Eve Le, Will, Michael, Guillou, Pierre, Lukasczyk, Jonas, Fortin, Pierre, Garth, Christoph, Tierny, Julien
This system paper documents the technical foundations for the extension of the Topology ToolKit (TTK) to distributed-memory parallelism with the Message Passing Interface (MPI). While several recent papers introduced topology-based approaches for dis
Externí odkaz:
http://arxiv.org/abs/2310.08339
Comparative visualization of scalar fields is often facilitated using similarity measures such as edit distances. In this paper, we describe a novel approach for similarity analysis of scalar fields that combines two recently introduced techniques: W
Externí odkaz:
http://arxiv.org/abs/2308.03672
Autor:
Pont, Mahieu, Tierny, Julien
This paper presents a computational framework for the Wasserstein auto-encoding of merge trees (MT-WAE), a novel extension of the classical auto-encoder neural network architecture to the Wasserstein metric space of merge trees. In contrast to tradit
Externí odkaz:
http://arxiv.org/abs/2307.02509
This paper presents a computational framework for the concise encoding of an ensemble of persistence diagrams, in the form of weighted Wasserstein barycenters [100], [102] of a dictionary of atom diagrams. We introduce a multi-scale gradient descent
Externí odkaz:
http://arxiv.org/abs/2304.14852
Autor:
Maack, Robin G. C., Lukasczyk, Jonas, Tierny, Julien, Hagen, Hans, Maciejewski, Ross, Garth, Christoph
This paper presents a well-scaling parallel algorithm for the computation of Morse-Smale (MS) segmentations, including the region separators and region boundaries. The segmentation of the domain into ascending and descending manifolds, solely defined
Externí odkaz:
http://arxiv.org/abs/2303.15491
Autor:
Olejniczak, Małgorzata, Tierny, Julien
Publikováno v:
Phys. Chem. Chem. Phys., 2023,25, 5942-5947
A novel strategy for extracting axial (AV) and toroidal (TV) vortices in the magnetically-induced current density (MICD) in molecular systems is introduced, and its pilot application to LiH molecule is demonstrated. It exploits differences in the top
Externí odkaz:
http://arxiv.org/abs/2212.08690