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Module 05: The (1+1)-ES - One Parent, One Child, One Rule

The simplest possible evolution strategy - one parent, one offspring, survival of the fitter. Rechenberg's 1/5th success rule is the first adaptive step-size control. Simple but surprisingly powerful on smooth functions.

Learning Objectivesโ€‹

  1. Implement the (1+1)-ES from scratch
  2. Understand Gaussian mutation and isotropic step-size
  3. Implement the 1/5th success rule for step-size adaptation
  4. Analyze convergence on Sphere and Rosenbrock
  5. Understand the theoretical convergence rate on Sphere

Concept Explanationโ€‹

Coming soon.

Code Examplesโ€‹

Coming soon.

Exercisesโ€‹

Coming soon.

Milestone Checklistโ€‹

  • Implemented (1+1)-ES from scratch
  • Step-size adaptation working via 1/5th rule
  • Can explain why step-size adaptation matters
  • Compared convergence on Sphere vs Rosenbrock

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