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Stochastic Optimization - University of Warwick · PDF fileStochastic Optimization. ... Ant...

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Stochastic Optimization
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Stochastic Optimization

Simmulated Annealing

Greedy algorithms can get stuck in local optima, and depend on initial conditions :(

Simmulated Annealing

Energy

- Initial configuration i with

- Choose random (nearby) state j with

- Accept change with probability

Simmulated Annealing procedure:

- Gradually decrease T according to a “cooling schedule”

Simmulated Annealing

Quantum Annealing

Swarm intelligence

Swarm intelligence

Ant Colony Optimization

Swarm intelligence

Ant Colony Optimization

Ant Colony Optimization

TSP: Which is the shortest path that visits each city exactly once?

Ant Colony Optimization

Ant Colony Optimization

Ant Colony Optimization

Knapsack problem: Which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to 15 kg?

Ant Colony Optimization

Which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to 15 kg?

Knapsack problem: Travelling salesman problem:

Which is the shortest path that visits each city exactly once?


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