13 citations · 34 across the 28 of their papers we have counts for
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math.DS2016★ 8 cited
Optimal transport over nonlinear systems via infinitesimal generators on graphs
Karthik Elamvazhuthi, Piyush Grover
We present a set-oriented graph-based computational framework for continuous-time optimal transport over nonlinear dynamical systems. We recover provably optimal control laws for s…
math.DS2016★ 3 cited
Optimal perturbations for nonlinear systems using graph-based optimal transport
Piyush Grover, Karthik Elamvazhuthi
We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dyn…