Algebraic Structure Discovery for Real World Combinatorial Optimisation Problems: A General Framework from Abstract Algebra to Quotient Space Learning

1. 1Identify algebraic structures in combinatorial optimization problems
2. 2Formalise operations on these structures
3. 3Construct quotient spaces to reduce redundant representations
4. 4Optimise directly over the reduced quotient spaces

Data scientists and AI engineers can benefit from this framework to improve the efficiency of their optimization algorithms, while researchers can use it to explore new applications in combinatorial optimization

💡 Algebraic structure discovery can significantly improve the efficiency of combinatorial optimization algorithms

🔍 Discover algebraic structures in combinatorial optimization problems to shrink search space & improve global optimal solution chance