3 papers
math.DS2022
Kernel Methods for Regression in Continuous Time over Subsets and Manifolds
Nathan Powell, Jia Guo, Sai Tej Parachuri +3
This paper derives error bounds for regression in continuous time over subsets of certain types of Riemannian manifolds.The regression problem is typically driven by a nonlinear ev…
stat.ML2022
Koopman Methods for Estimation of Animal Motions over Unknown Submanifolds
Nathan Powell, Bowei Liu, Jia Guo +2
This paper introduces a data-dependent approximation of the forward kinematics map for certain types of animal motion models. It is assumed that motions are supported on a low-dime…
stat.ML2020
Learning Theory for Estimation of Animal Motion Submanifolds
Nathan Powell, Andrew Kurdila
This paper describes the formulation and experimental testing of a novel method for the estimation and approximation of submanifold models of animal motion. It is assumed that the…