4 papers · 1 filter
Homology-Preserving Dimensionality Reduction via Adaptive Mapper and Landmark Isomap
Shakiba Khourashahi, Ilia Jahanshahi, Bei Wang +1
As data becomes increasingly central across engineering and scientific disciplines, effective visualization is essential for interpreting complex, high-dimensional structures. Dime…
Sketching Merge Trees for Scientific Data Visualization
Mingzhe Li, Sourabh Palande, Lin Yan +1
Merge trees are a type of topological descriptors that record the connectivity among the sublevel sets of scalar fields. They are among the most widely used topological tools in vi…
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Lin Yan, Yusu Wang, Elizabeth Munch +2
Physical phenomena in science and engineering are frequently modeled using scalar fields. In scalar field topology, graph-based topological descriptors such as merge trees, contour…
Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing
Lin Yan, Yaodong Zhao, Paul Rosen +2
Dimensionality reduction is an integral part of data visualization. It is a process that obtains a structure preserving low-dimensional representation of the high-dimensional data.…