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math.OC2022
Neural ODE Control for Trajectory Approximation of Continuity Equation
Karthik Elamvazhuthi, Bahman Gharesifard, Andrea Bertozzi +1
We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is pu…
math.AP2022★ 1 cited
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
Katy Craig, Karthik Elamvazhuthi, Matt Haberland +1
As a counterpoint to classical stochastic particle methods for linear diffusion equations, we develop a deterministic particle method for the weighted porous medium equation (WPME)…