/// <summary>
/// Uses the local Multi-Armed-Bandits to explore the action space and uses the global Multi-Armed-Bandit to exploit the best performing actions.
/// </summary>
/// <param name="context">The current search context.</param>
/// <param name="state">The game state for the node.</param>
/// <param name="gMAB">The global Multi-Armed-Bandit.</param>
/// <returns>An <see cref="A"/> that was selected from the global Multi-Armed-Bandit.</returns>
private A NaïveSampling(SearchContext <D, P, A, S, Sol> context, P state, IDictionary <long, Dictionary <int, LocalArm> > gMAB)
{
var apply = context.Application;
var stateClone = context.Cloner.Clone(state);
var stateHash = stateClone.HashMethod();
if (!gMAB.ContainsKey(stateHash))
{
gMAB.Add(stateHash, new Dictionary <int, LocalArm>());
}
// Use a policy p_0 to determine whether to explore or exploit
// If explore was selected
// x_1...x_n is sampled by using a policy p_l to select a value for each X_i in X independently.
// As a side effect, the resulting value combination is added to the global MAB.
// If exploit was selected
// x_1...x_n is sampled by using a policy p_g to select a value combination using MAB_g.
// Can only exploit if there is anything to exploit in the first place
if (gMAB[stateHash].IsNullOrEmpty() || ExplorationStrategy.Policy(context, 0))
{
// Explore
// Create an action according to policy p_1
var action = SamplingStrategy.Sample(stateClone);
var actionHash = action.GetHashCode();
// Evaluate the sampled action
var endState = PlayoutStrategy.Playout(context, apply.Apply(context, stateClone, action));
var tempNode = new TreeSearchNode <P, A> {
Payload = action
};
var reward = EvaluationStrategy.Evaluate(context, tempNode, endState);
// Add the action to the global MAB
if (gMAB[stateHash].ContainsKey(actionHash))
{
gMAB[stateHash][actionHash].Visit(reward);
}
else
{
var newArm = new LocalArm(action);
newArm.Visit(reward);
gMAB[stateHash].Add(actionHash, newArm);
}
return(action);
}
// Exploit; epsilon-greedy by returning the action with the highest expected reward with probability 1-e, otherwise returning random.
return(_rng.NextDouble() <= 1 - PolicyGlobal ? gMAB[stateHash].Values.OrderByDescending(i => i.ExpectedReward).First().Action : gMAB[stateHash].RandomElementOrDefault().Value.Action);
}
public RomanNumeral(int number, EvaluationStrategy strategy)
{
Number = number;
Text = strategy.Evaluate(number);
}
