5 papers
Convexifying Mean-Field Control: An Occupation-Measure and Frank-Wolfe Approach
Di Yu, Sixiong You, Chaoying Pei
Large-scale robotic swarms motivate the use of mean-field control (MFC). Classical partial differential equation (PDE)-based formulations provide a principled framework but can bec…
An Occupation-Measure and Frank-Wolfe Framework for Heterogeneous Mean-Field Control
Di Yu, Sixiong You, Chaoying Pei
Heterogeneous mean-field control (MFC) involves multiple interacting populations with distinct dynamics, control constraints, and coupling structures. We develop a heterogeneous oc…
Occupation-Measure Mean-Field Control: Optimization over Measures and Frank-Wolfe Methods
Di Yu, Sixiong You, Chaoying Pei
Coordinating large populations of autonomous agents, such as UAV swarms or satellite constellations, poses significant computational challenges for traditional multi-agent control…
Frank-Wolfe Recursions for the Emergency Response Problem on Measure Spaces
Di Yu, Shane G. Henderson, Raghu Pasupathy
We consider an optimization problem over measures for emergency response to out-of-hospital cardiac arrest (OHCA), where the goal is to allocate volunteer resources across a spatia…
Deterministic and Stochastic Frank-Wolfe Recursion on Probability Spaces
Di Yu, Shane G. Henderson, Raghu Pasupathy
Motivated by applications in emergency response and experimental design, we consider smooth stochastic optimization problems over probability measures supported on compact subsets…