4 papers
Topology Structure Optimization of Reservoirs Using GLMY Homology
Yu Chen, Shengwei Wang, Hongwei Lin
Reservoir is an efficient network for time series processing. It is well known that network structure is one of the determinants of its performance. However, the topology structure…
TUN: Detecting Significant Points in Persistence Diagrams with Deep Learning
Yu Chen, Hongwei Lin
Persistence diagrams (PDs) provide a powerful tool for understanding the topology of the underlying shape of a point cloud. However, identifying which points in PDs encode genuine…
Robust Model Reconstruction Based on the Topological Understanding of Point Clouds Using Persistent Homology
Yu Chen, Hongwei Lin
Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point c…
Analyzing Singular Patterns in Discrete Planar Vector Fields via Persistent Path Homology
Yu Chen, Hongwei Lin
Analyzing singular patterns in vector fields is a fundamental problem in theoretical and practical domains due to the ability of such patterns to detect the intrinsic characteristi…