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math.AT2026
Hodge Spectral Surrogates for Topology-Constrained Optimization
Satoshi Kanno, Yoshi-aki Shimada
Topology-constrained optimization arises in applications such as medical image segmentation, geometric design, and network generation, where global structural correctness matters.…
math.AT2026
Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi +1
We propose a practical computational framework for detecting structural changes in parameter-dependent topological data. In many applications, such as time-series data analysis, an…