processespotentialization
processespotentialization is a theoretical framework in which a collection of dynamical processes is represented by an associated potential function, called the potential, so that the evolution tends to reduce potential over time. The idea extends ideas from potential theory and Lyapunov analysis to systems where multiple processes interact.
Constructing a potentialization involves finding a scalar function V(x,t) whose decrease along trajectories captures the system's
Applications of this framework appear in stability analysis, optimization, and the design of energy-based models in
Limitations include that not all systems admit a global potential function, and the choice of metric or
Relation to other concepts: processespotentialization shares goals with Lyapunov functions, gradient flows, and energy landscapes, while