Optimal Bayes Decision Strategies

• A strategy or decision function is a mapping from observations to actions.

• The total risk of a decision function is given by

• A decision function is optimal if it minimizes the total risk. This optimal total risk is called Bayes risk.

• In the Bayesian doctor example:

  • Total risk if doctor always gives antibiotics: 0.9
  • Bayes risk: 0.21

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