[PDF][PDF] Position: Topological Deep Learning is the New Frontier for Relational Learning

T Papamarkou, T Birdal, M Bronstein… - arXiv preprint arXiv …, 2024 - sci.utah.edu
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to
understand and design deep learning models. This paper posits that TDL may complement …

Position: Topological Deep Learning is the New Frontier for Relational Learning

T Papamarkou, T Birdal, MM Bronstein… - … on Machine Learning, 2024 - openreview.net
Topological deep learning (TDL) is a rapidly evolving field that uses topological features to
understand and design deep learning models. This paper posits that TDL is the new frontier …

Task-based augmented merge trees with fibonacci heaps

C Gueunet, P Fortin, J Jomier… - 2017 IEEE 7th …, 2017 - ieeexplore.ieee.org
This paper presents a new algorithm for the fast, shared memory multi-core computation of
augmented merge trees on triangulations. In contrast to most existing parallel algorithms …

Task-based augmented contour trees with fibonacci heaps

C Gueunet, P Fortin, J Jomier… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper presents a new algorithm for the fast, shared memory, multi-core computation of
augmented contour trees on triangulations. In contrast to most existing parallel algorithms …

Visualization in astrophysics: Developing new methods, discovering our universe, and educating the earth

F Lan, M Young, L Anderson… - Computer graphics …, 2021 - Wiley Online Library
We present a state‐of‐the‐art report on visualization in astrophysics. We survey
representative papers from both astrophysics and visualization and provide a taxonomy of …

Task-based augmented Reeb graphs with dynamic ST-trees

C Gueunet, P Fortin, J Jomier, J Tierny - Eurographics Symposium on …, 2019 - hal.science
This paper presents, to the best of our knowledge, the first parallel algorithm for the
computation of the augmented Reeb graph of piecewise linear scalar data. Such augmented …

Modeling the influence of visual density on cluster perception in scatterplots using topology

GJ Quadri, P Rosen - IEEE Transactions on Visualization and …, 2020 - ieeexplore.ieee.org
Scatterplots are used for a variety of visual analytics tasks, including cluster identification,
and the visual encodings used on a scatterplot play a deciding role on the level of visual …

Fast Comparative Analysis of Merge Trees Using Locality Sensitive Hashing

W Lyu, R Sridharamurthy, JM Phillips… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Scalar field comparison is a fundamental task in scientific visualization. In topological data
analysis, we compare topological descriptors of scalar fields—such as persistence diagrams …

An efficient data retrieval parallel reeb graph algorithm

M Hajij, P Rosen - Algorithms, 2020 - mdpi.com
The Reeb graph of a scalar function that is defined on a domain gives a topologically
meaningful summary of that domain. Reeb graphs have been shown in the past decade to …

A Comparative Study of the Perceptual Sensitivity of Topological Visualizations to Feature Variations

TM Athawale, B Triana, T Kotha… - … on Visualization and …, 2023 - ieeexplore.ieee.org
Color maps are a commonly used visualization technique in which data are mapped to
optical properties, eg, color or opacity. Color maps, however, do not explicitly convey …