Research4d ago
Framework Uncovers Algebraic Structures in Optimization
Conjunctive rules form a monoid, enabling a mapping to the Boolean hypercube {0,1}^n. The framework identifies algebraic structure, formalises operations, constructs quotient spaces, and optimises directly over reduced spaces. Practitioners can shrink search spaces in tasks like patient subgroup discovery and rule-based molecular screening. By collapsing redundant representations, the method reduces computational load and improves solution quality.