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H goal ; 0 for any goal, then f gn ; g where c is the actual cost of the optimal solution. then, for any open node n that is on the path to the optimal goal, f n ; g n ; thus, a non-optimal goal node will never be expanded and a * using tree search will always return the optimal solution as long as h n ; admissible. if we use graph search then a suboptimal solution can be returned if there are two paths through the same state and the suboptimal one is the first one found. this is because graph search discards states that are already in the closed list. this can be remedied by always keeping the cheaper of any two paths that arrive at the same state and removing the more expensive path from the search, and then a * using graph search is optimal. note that a * will expand all nodes with f n ; c and might expand some nodes with f n ; c, but a * expands none of the nodes with f n ; c. thus, since h n ; is admissible heuristic, a * can prune subtrees from the search tree. for example, in figure 3.6 the subtree underneath node d is pruned from the search because any goal node that appears after d will not be on the optimal solution. if the controller of the submersible, in the original problem described above, carried out a * in real life, then he would use a tracking device that told him the straight line distance to his quarry but disregarded the obstacles. that way the controller would move the sub in the direction of the quarry in order to move closer to it whilst avoiding the obstacles as and when they get in the way. unfortunately, a * is based on breadth first search and stores every node in the search in memory, and so requires lots of space. we need a different algorithm that uses less memory. iterative-deepening a-star search ida * ; see korf [36] ; is similar to ids except that it compares the f -value of the nodes with the limit rather than depth of the nodes in the tree. ida * performs a * alongside a cost limit so that it discards any nodes whose f -value is greater than the limit. the cost limit starts as the f -value of the root node and is increased each iteration, setting the cost limit to the smallest f -value of any node that was discarded in the previous iteration, so that the algorithm succeeds when the cost limit matches the actual cost of the optimal solution. figure 3.7 depicts the progress of ida * , with each node labelled. 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Search function example in this procedure, the search function returns the fully qualified pathname of the filename entered if it is not in the current working directory. if search cannot find the file, it returns an unknown value ? ; . the procedure displays the fully qualified pathname or a message indicating that the file could not be found. r-search.p.
Puzzle, both described in detail elsewhere axelrod & hone 2004. ; the experiment had a 2 between-subjects factorial design. the factors were: 1. acted affective with two levels; `standard' vs. `system appears affective' ; . this refers to whether the system appeared to act affectively. in the `standard' condition clues and messages appeared only in response to the user clicking the `help' button. in the `system appears affective' condition, if the participant was observed via the one way mirror to use emotional expressions, the game was controlled so that appropriate clues or messages appeared to them. 2. told affective with two levels; `expect standard system' vs. `expect affective system' ; . this refers to whether the participant expected the system to act affectively. in the `expect standard system' condition participants were told they would be testing the usability of a word game. in the `expect affective system' condition they were told that they would be testing the usability of a word game on a prototype system, that might recognize or respond to some of their emotions. there were therefore four experimental conditions in total, representing the factorial combination of the two factors. 60 participants were videoed for 10 minutes each. table 1 participant groups 2 x 2 factorial design.
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