Doubly-Exponentially Accelerated Particle Methods and Systems for Nonlinear Control

A system comprising:

• at least one actuator;
• and
• a computational unit, wherein the computational unit comprises memory storing one or more computer-readable instructions that, when executed, cause:
• identifying, by the computational unit, a plurality of objectives, wherein each objective corresponds to a different control system of a plurality of control systems;
• identifying, by the computational unit, one or more meta-control parameters for determining optimal actions to achieve the plurality of objectives with an optimized chosen statistic determined by the one or more meta-control parameters;
• storing, to each control system of the plurality of control systems, the one or more meta-control parameters;
• determining, through a coupled induction loop, one or more optimal actions to achieve the objective with the optimized chosen statistic, wherein the coupled induction loop comprises, for each control system of the plurality of control systems:
• performing a backward induction on the optimized chosen statistic;
• performing a forward induction on an uncertainty about an unknown state of the world comprising the plurality of control systems;
• and
• repeating the backward induction and the forward induction until convergence is identified;
• and
• outputting, based on the convergence, an indication of the one or more optimal actions.

One or more non-transitory computer-readable media storing instructions that, when executed by a computing system comprising at least one processor, a communication interface, and memory, cause the computing system to:

• identify a plurality of objectives, wherein each objective corresponds to a different control system of a plurality of control systems;
• identify one or more meta-control parameters for determining optimal actions to achieve the plurality of objectives with an optimized chosen statistic determined by the one or more meta-control parameters;
• store, to each control system of the plurality of control systems, the one or more meta-control parameters;
• determine, through a coupled induction loop, one or more optimal actions to achieve the objective with the optimized chosen statistic, wherein the coupled induction loop comprises, for each control system of the plurality of control systems:
• performing a backward induction on the optimized chosen statistic;
• performing a forward induction on an uncertainty about an unknown state of the world comprising the plurality of control systems;
• and
• repeating the backward induction and the forward induction until convergence is identified;
• and
• output, based on the convergence, an indication of the one or more optimal actions.