95 citations · 620 across the 56 of their papers we have counts for
7 papers · 1 filter
Persistent Laplacians: properties, algorithms and implications
Facundo Mémoli, Zhengchao Wan, Yusu Wang
We present a thorough study of the theoretical properties and devise efficient algorithms for the \emph{persistent Laplacian}, an extension of the standard combinatorial Laplacian…
Ordinally Consensus Subset over Multiple Metrics
Dingkang Wang, Yusu Wang
In this paper, we propose to study the following maximum ordinal consensus problem: Suppose we are given a metric system (M, X), which contains k metrics M = {ρ_1,..., ρ_k} defined…
A Note on Over-Smoothing for Graph Neural Networks
Chen Cai, Yusu Wang
Graph Neural Networks (GNNs) have achieved a lot of success on graph-structured data. However, it is observed that the performance of graph neural networks does not improve as the…
Detection and skeletonization of single neurons and tracer injections using topological methods
Dingkang Wang, Lucas Magee, Bing-Xing Huo +8
Neuroscientific data analysis has traditionally relied on linear algebra and stochastic process theory. However, the tree-like shapes of neurons cannot be described easily as point…
Elder-Rule-Staircodes for Augmented Metric Spaces
Chen Cai, Woojin Kim, Facundo Memoli +1
An augmented metric space is a metric space equipped with a function . This type of data arises commonly in practice, e.g, a point cloud in $\…
An efficient algorithm for -dimensional (persistent) path homology
Tamal K. Dey, Tianqi Li, Yusu Wang
This paper focuses on developing an efficient algorithm for analyzing a directed network (graph) from a topological viewpoint. A prevalent technique for such topological analysis i…