3 papers
math.NA2026
Geometric Kernel Interpolation and Regression
Patrick Guidotti
Exploiting the variational interpretation of kernel interpolation we exhibit a direct connection between interpolation and regression, where interpolation appears as a limiting cas…
cs.CV2024
Extracting Manifold Information from Point Clouds
Patrick Guidotti
A kernel based method is proposed for the construction of signature (defining) functions of subsets of . The subsets can range from full dimensional manifolds (open s…
math.AP2023
The Curve Shortening Flow for Curves of Finite Total (Absolute) Curvature
Patrick Guidotti
We revisit the well-known Curve Shortening Flow for immersed curves in the -dimensional Euclidean space. We exploit a fundamental structure of the problem to derive a new global…