CMP.7:4.3 - Construct the rule family and inductive restriction

Choose a family H of candidate rules and a representation in which they can be compared or updated. It may contain thresholds, programs, trees, parameterized functions or another suitable construction. Give the operations needed to apply a rule and obtain its response.

The restriction expresses which unobserved continuations the learner will consider plausible. It can come from subject structure, invariances, a simplicity preference, regularization or a previously learned representation. State the basis and the limit of the restriction. Choosing a rule family is an inference commitment, not merely a software parameter.

MMP.11 can supply a subject-grounded function family. For a surrogate, state the source responses and input region that the learned rule must serve. This pattern supplies the algorithmic way of obtaining a member or a supported collection of members from examples. If no candidate can serve the target, improve the family or representation rather than trying to optimize within it indefinitely.