2 papers
math.AT2024
Dynamical Persistent Homology via Wasserstein Gradient Flow
Minghua Wang, Jinhui Xu
In this study, we introduce novel methodologies designed to adapt original data in response to the dynamics of persistence diagrams along Wasserstein gradient flows. Our research f…
cs.LG2024
Multiset Transformer: Advancing Representation Learning in Persistence Diagrams
Minghua Wang, Ziyun Huang, Jinhui Xu
To improve persistence diagram representation learning, we propose Multiset Transformer. This is the first neural network that utilizes attention mechanisms specifically designed f…