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cs.CG2026
TopoAlign: Topology-Aware Visual Representation Alignment
Xinyuan Yan, Rita Sevastjanova, Mennatallah El-Assady +1
Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Represe…
cs.CG2025
Tracking the Persistence of Harmonic Chains: Barcode and Stability
Tao Hou, Salman Parsa, Bei Wang
The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of data, the persistence barcode tracks t…
cs.CG2024
Harmonic Chain Barcode and Stability
Salman Parsa, Bei Wang
The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of the space of data, a persistence barco…