8 papers
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…
Construction of a Closed Hyperbolic Surface of Arbitrarily Small Eigenvalue of Prescribed Serial Number
Susovan Pal
In this paper we construct, for given any small positive number and given natural number , and given any closed hyperbolic surface , a closed hyperbolic covering surface…
Identifiability of the Unnormalized Graph Laplace Operators
Susovan Pal
In this short note, we show that the continuous intrinsic graph Laplace operator with Gaussian kernel on a compact Riemannian manifold without boundary uniquely determines both the…
Asymptotics of the graph Laplace operator near an isolated singularity
Susovan Pal
In this paper, we investigate asymptotics of the continuous graph Laplace operator on a smooth Riemannian manifold admitting an isolated singularity . We show that if th…
Manifolds with kinks and the asymptotic behavior of the graph Laplacian operator with Gaussian kernel
Susovan Pal, David Tewodrose
We introduce manifolds with kinks, a class of manifolds with possibly singular boundary that notably contains manifolds with smooth boundary and corners. We derive the asymptotic b…
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…