4 papers · 1 filter
Identifiability and Consistent Recovery for the Unnormalized Graph Laplace Operators
Susovan Pal
We study whether an unnormalized graph Laplace operator can determine both the geometry of a manifold and its sampling density. On a fixed compact smooth manifold without boundary,…
Sharp Support Thresholds for Smeariness of Absolutely Continuous Measures on Spheres
Susovan Pal
We investigate support thresholds for fully smeary and directionally smeary absolutely continuous probability measures on the sphere \(\mathbb{S}^m\). The motivation is inferential…
Finite Sample Smeariness on Spheres and Modulation-aware Tests
Susovan Pal
Directional and shape data often live on manifolds, where standard central limit theorems (CLT) and the associated Wald-type \(χ^2\)-tests require curvature-dependent recalibration…
Two-Sample Tests for Optimal Lifts, Manifold Stability and Reverse Labeling Reflection Shap
Do Tran Van, Susovan Pal, Benjamin Eltzner +1
We consider a quotient of a complete Riemannian manifold modulo an isometrically and properly acting Lie group and lifts of the quotient to the manifolds in optimal position to a r…