A PDE-constrained optimization approach for trajectory planning under uncertainty via reflected Schrödinger bridges, recast via Hopf-Cole into forward-backward advection-diffusion equations solved by finite elements.
Distributed optimal control for multi-agent trajectory optimization,
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A distributed bilevel algorithm optimizes emergent macroscopic behavior in multi-agent systems by combining local exponential-family state estimation with hypergradient microscopic updates and proves convergence via timescale separation.
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A PDE-constrained Optimization Approach to Optimal Trajectory Planning under Uncertainty via Reflected Schr\"odinger Bridges
A PDE-constrained optimization approach for trajectory planning under uncertainty via reflected Schrödinger bridges, recast via Hopf-Cole into forward-backward advection-diffusion equations solved by finite elements.
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A Distributed Bilevel Framework for the Macroscopic Optimization of Multi-Agent Systems
A distributed bilevel algorithm optimizes emergent macroscopic behavior in multi-agent systems by combining local exponential-family state estimation with hypergradient microscopic updates and proves convergence via timescale separation.