3 papers
math.OC2025
Optimal Control Strategies for Multi-Agent Sheep Herding
Drake Brown, Trevor Garrity, Daniel Perkins +2
We develop a cost functional and state-space equations to model the problem of herding m sheep to the origin using n dogs. Our initial approach uses solve_bvp to approximate optima…
q-bio.PE2025
Explorations of Epidemiological Dynamics across Multiple Population Hubs
Daniel Perkins, Davis Hunter, Drake Brown +2
Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating ad…
cs.LG2023
Global Minima, Recoverability Thresholds, and Higher-Order Structure in GNNS
Drake Brown, Trevor Garrity, Kaden Parker +4
We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analy…