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The Algorithmic Regulator

Created by
  • Haebom

Author

Giulio Ruffini

Outline

This paper analyzes regulation using algorithmic complexity, building on the regulator theorem's assertion that, under certain conditions, an optimal controller must embody a model of the system being regulated. The authors treat a closed, coupled world-regulator system as a single self-limiting program and define a "good algorithmic regulator" as one in which regulation reduces the algorithmic complexity of the world's output. They demonstrate that a larger difference in algorithmic complexity increases the likelihood of a higher amount of mutual information between the world-regulator pair, supporting the idea that the regulator "models the world" from an algorithmic information theory (AIT) perspective. Furthermore, this study suggests the existence of a canonical scalar objective and planner that are distribution-independent and applicable to individual sequences.

Takeaways, Limitations

Takeaways:
Analyzing regulation theory from a new perspective using algorithmic complexity.
The idea that the regulator models the world is mathematically established through AIT.
Provides a distribution-independent framework and can be applied to individual sequences.
Implies the existence of a canonical scalar goal and planner.
Limitations:
Computing algorithmic complexity is generally difficult.
When applied to real systems, there are complexities in modeling and calculation.
Since this is an AIT-based analysis, generalization to complex systems in the real world may be necessary.
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