Mathematics
Stigmergy is not just a metaphor - it has rigorous mathematical foundations. ACO algorithms can be analyzed through Markov chains and convergence theory. The emergence of global optimization from local interactions connects to statistical mechanics and information theory. We develop formal proofs for why collective behavior solves NP-hard problems, and explore the deep connections between pheromone dynamics and gradient descent.
Projects in Mathematics
3 active projects applying stigmergic intelligence
Formal proofs of convergence, stability, and emergence in ACO algorithms
Using Pollard's Kangaroo algorithm to search cryptographic key space
Systematic comparison of ACO variants on traveling salesman problems
Key Applications
How stigmergic AI transforms mathematics
Combinatorial optimization
Graph theory
Probability theory
Convergence analysis
Complexity theory
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