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cs.LG2026
Exact Topological Compliance: Generating Persistence-Equivalent Graphs
Mattie Ji, Indradyumna Roy, Vikas Garg
Persistent homology summarizes the topological evolution of a graph as persistence diagrams (PDs). Generating graphs whose topology matches a target descriptor is increasingly impo…
cs.LG2026
The Logical Expressiveness of Topological Neural Networks
Amirreza Akbari, Amauri H. Souza, Vikas Garg
Graph neural networks (GNNs) are the standard for learning on graphs, yet they have limited expressive power, often expressed in terms of the Weisfeiler-Leman (WL) hierarchy or wit…