# Generating functionals for guided self-organization

arXiv: https://arxiv.org/abs/1307.7872 · HTML: https://mlsanity.com/paper/1307.7872/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Jul 2013.

## Built on by (most cited first, 1 of 1)

- [Emotions as abstract evaluation criteria in biological and artificial intelligences](https://mlsanity.com/paper/2111.15275/) (2021)

## Abstract (arXiv)

Time evolution equations for dynamical systems can often be derived from generating functionals. Examples are Newton's equations of motion in classical dynamics which can be generated within the Lagrange or the Hamiltonian formalism. We propose that generating functionals for self-organizing complex systems offer several advantages. Generating functionals allow to formulate complex dynamical systems systematically and the results obtained are typically valid for classes of complex systems, as defined by the type of their respective generating functionals. The generated dynamical systems tend, in addition, to be minimal, containing only few free and undetermined parameters. We point out that two or more generating functionals may be used to define a complex system and that multiple generating function may not, and should not, be combined into a single overall objective function. We provide and discuss examples in terms of adapting neural networks.