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stat.ML2026
Matched Queries for Curvature and Density at Branching Junctions
Ziqi Zhao, Qingjian Ni
At a junction, a score field can reveal weighted tangent rays, yet these first-order quantities do not determine how individual branches bend or how their densities change away fro…
stat.ML2026
Recovering Weighted Tangent Geometry from a Single-Scale Score Field
Ziqi Zhao, Qingjian Ni
Near a smooth data manifold, one tangent space summarizes local geometry. At a branch point, the corresponding first-order object is instead a measure over tangent directions, whos…