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20192022
most citedA Novel Adaptive Causal Sampling Method for Physics-Informed Neural Networks

11 citations · 25 across the 8 of their papers we have counts for

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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…

math.DS2020

Intrinsic and Extrinsic Approximation of Koopman Operators over Manifolds

Sai Tej Paruchuri, Jia Guo, Michael Kepler +4

This paper derives rates of convergence of certain approximations of the Koopman operators that are associated with discrete, deterministic, continuous semiflows on a complete metr…