5 citations · 11 across the 9 of their papers we have counts for
10 papers
Geometry of the Space of Partitioned Networks: A Unified Theoretical and Computational Framework
Stephen Y Zhang, Fangfei Lan, Youjia Zhou +4
Interactions and relations between objects may be pairwise or higher-order in nature, and so network-valued data are ubiquitous in the real world. The "space of networks", however,…
Experimental Observations of the Topology of Convolutional Neural Network Activations
Emilie Purvine, Davis Brown, Brett Jefferson +6
Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of compl…
Reduced Connectivity for Local Bilinear Jacobi Sets
Daniel Klötzl, Tim Krake, Youjia Zhou +5
We present a new topological connection method for the local bilinear computation of Jacobi sets that improves the visual representation while preserving the topological structure…
Hypergraph Co-Optimal Transport: Metric and Categorical Properties
Samir Chowdhury, Tom Needham, Ethan Semrad +2
Hypergraphs capture multi-way relationships in data, and they have consequently seen a number of applications in higher-order network analysis, computer vision, geometry processing…
Pheno-Mapper: An Interactive Toolbox for the Visual Exploration of Phenomics Data
Youjia Zhou, Methun Kamruzzaman, Patrick Schnable +3
High-throughput technologies to collect field data have made observations possible at scale in several branches of life sciences. The data collected can range from the molecular le…
Stitch Fix for Mapper and Topological Gains
Youjia Zhou, Nathaniel Saul, Ilkin Safarli +2
The mapper construction is a powerful tool from topological data analysis that is designed for the analysis and visualization of multivariate data. In this paper, we investigate a…
Topological Simplifications of Hypergraphs
Youjia Zhou, Archit Rathore, Emilie Purvine +1
We study hypergraph visualization via its topological simplification. We explore both vertex simplification and hyperedge simplification of hypergraphs using tools from topological…
Interpreting Graph Drawing with Multi-Agent Reinforcement Learning
Ilkin Safarli, Youjia Zhou, Bei Wang
Applying machine learning techniques to graph drawing has become an emergent area of research in visualization. In this paper, we interpret graph drawing as a multi-agent reinforce…
Mapper Interactive: A Scalable, Extendable, and Interactive Toolbox for the Visual Exploration of High-Dimensional Data
Youjia Zhou, Nithin Chalapathi, Archit Rathore +2
The mapper algorithm is a popular tool from topological data analysis for extracting topological summaries of high-dimensional datasets. In this paper, we present Mapper Interactiv…
MVF Designer: Design and Visualization of Morse Vector Fields
Youjia Zhou, Janis Lazovskis, Michael J. Catanzaro +2
Vector field design on surfaces was originally motivated by applications in graphics such as texture synthesis and rendering. In this paper, we consider the idea of vector field de…