17 citations · 17 across the 4 of their papers we have counts for
4 papers
Minimum Monotone Tree Decomposition of Density Functions Defined on Graphs
Lucas Magee, Yusu Wang
Monotone trees - trees with a function defined on their vertices that decreases the further away from a root node one travels, are a natural model for a process that weakens the fu…
Graph skeletonization of high-dimensional point cloud data via topological method
Lucas Magee, Yusu Wang
Geometric graphs form an important family of hidden structures behind data. In this paper, we develop an efficient and robust algorithm to infer a graph skeleton of a high-dimensio…
Equivariant geometric learning for digital rock physics: estimating formation factor and effective permeability tensors from Morse graph
Chen Cai, Nikolaos Vlassis, Lucas Magee +6
We present a SE(3)-equivariant graph neural network (GNN) approach that directly predicting the formation factor and effective permeability from micro-CT images. FFT solvers are es…
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…