๐Ÿœ ACO & Emergent Systems

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Python Week 1: the first filter for runtime behavior
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# ๐Ÿœ ACO & Emergent Systems ## 1. ๐ŸŽฏ Learning Objectives - Explain emergent behavior in swarm intelligence - Trace ACO pheromone update for TSP - Compare ACO with genetic algorithms ## 2.

๐Ÿœ ACO & Emergent Systems

1. ๐ŸŽฏ Learning Objectives

  • Explain emergent behavior in swarm intelligence
  • Trace ACO pheromone update for TSP
  • Compare ACO with genetic algorithms

2. ๐Ÿ“– Core Content

3.1 Emergent Behavior

Simple local rules โ†’ complex global behavior. Ants following pheromone trails find shortest paths without central coordination.

3.2 ACO Algorithm Details

Pheromone update: ฯ„แตขโฑผ โ† (1-ฯ)ฯ„แตขโฑผ + ฮฃ ฮ”ฯ„แตขโฑผแต where ฮ”ฯ„แตขโฑผแต = Q/Lโ‚– if ant k used edge (i,j). Probability: Pแตขโฑผ = ฯ„แตขโฑผแตƒ ยท ฮทแตขโฑผแต / ฮฃ ฯ„แตขโ‚–แตƒ ยท ฮทแตขโ‚–แต

3.3 Parameters

ParameterEffectTypical Value
ฮฑ (pheromone weight)Higher = more exploitation1
ฮฒ (heuristic weight)Higher = more greedy2-5
ฯ (evaporation)Higher = faster forgetting0.1-0.5
Q (pheromone constant)Scales deposit1
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