Title
Multi-Dimensional Heuristic Searching
Abstract
A heuristic improvement technique referred to as multi-dimensional heuristics is presented. Instead of only applying the heuristic between two states X1/X1X2 and X2, when a distance estimate of is needed, this technique uses a reference state R and applies the heuristic function to (X1,R) and (X'2,R) and compares the resulting values. If two states are close to each other, then they should also be approximately equidistant to a third reference state. It is possible to use many such reference states to improve some heuristics. The reference states are used to map the search into an N-dimensional search space. The process of choosing reference states can be automated and is in fact a learning procedure. Test results using the 15-puzzle are presented in support of the effectiveness of multi-dimensional heuristics. This method has been shown to improve both a weak 15-puzzle heuristic, the tile reversal heuristic, as well as the stronger Manhattan distance heuristic.
Year
Venue
Keywords
1989
IJCAI
multi-dimensional heuristic,tile reversal heuristic,multi-dimensional heuristics,heuristic improvement technique,heuristic function,stronger manhattan distance heuristic,reference state r,reference state,n-dimensional search space,15-puzzle heuristic,states x1,heuristic search
Field
DocType
Citations 
Incremental heuristic search,Computer science,Heuristics,Artificial intelligence,Null-move heuristic,Consistent heuristic,Equidistant,Mathematical optimization,Heuristic,Multi dimensional,Euclidean distance,Algorithm,Machine learning
Conference
1
PageRank 
References 
Authors
0.36
3
2
Name
Order
Citations
PageRank
Peter C. Nelson122025.22
Lawrence J. Henschen2478280.94