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Complexity

As explained in Experimentation for Engineers

The property of a system or procedure arising from many interacting components and making its behavior difficult to predict or execute reliably.

Complexity arises when hardware, software, people, networks, physical conditions, and social factors interact, making system behavior difficult to predict from experience alone. With N components, roughly N² pairwise interactions can matter. section 1.3.1

Complexity creates practical engineering risks:

  • Contextual bandits add offline modeling complexity and online policy, exploration, ensemble, and safety-constraint complexity. section 5.4
  • Multi-step procedures such as response surface methodology and Bayesian optimization create more opportunities for errors at each iteration. section 8.5.1
  • Small changes can have uncertain effects, so complex systems require controlled validation rather than relying on reasoning alone. section 5.4 section 8.5.1

Validate a complex experiment

Label the result of a complex procedure as version B and A/B-test it against the previous production version. For stronger evidence, vary users, stocks, infrastructure, or elapsed time; after confirmation, deploy broadly or run a reverse A/B test. section 8.5.1

How Experimentation for Engineers covers it

How deep it goes
Defines complexity through interacting components and procedural steps, then stops short of a formal complexity metric.
Examples
Uses weather effects, contextual-bandit policies, multi-step optimization procedures, and production version comparisons as examples.
What you can do after
Validate complex experimental changes through A/B tests, varied conditions, and cautious production rollout.
How it connects
Connects complexity with contextual bandits, supervised learning, exploration, response surface methodology, Bayesian optimization, and A/B testing.

Also explained in

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Related concepts

This explainer was generated by Manning's knowledge graph from the text of Experimentation for Engineers. The section links point to the parts of the book it draws on.