Order parameters for unitary ensembles solve the modified KP equation via the Volterra lattice while orthogonal ensembles yield a new integrable chain via the Pfaff lattice, with thermodynamic limits being hydrodynamic-type systems solved by the same semi-discrete dynamical chain.
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Optimizing environmental and demographic parameters in a JAX-based agent-based model with RNN controllers produces population dynamics resembling Lotka-Volterra cycles using a feature-based loss.
MF-Net learns a shared field state and mechanical transition rule from trajectories to deliver competitive forecasting and recoverable relation matrices on Lorenz-96 and real systems.
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Tuning Agent-Based Predator-Prey Models Toward Lotka-Volterra Dynamics
Optimizing environmental and demographic parameters in a JAX-based agent-based model with RNN controllers produces population dynamics resembling Lotka-Volterra cycles using a feature-based loss.
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Mechanical Field Networks: Structured Neural Dynamics for Multivariate Systems
MF-Net learns a shared field state and mechanical transition rule from trajectories to deliver competitive forecasting and recoverable relation matrices on Lorenz-96 and real systems.