Proceedings

Streamlining Local Search for Spatially Balanced Latin Squares

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Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence. Pages 1539-1539.

Abstract

Streamlined constrained reasoning powerfully boosts the performance of backtrack search methods for finding hard combinatorial objects. We use so-called spatially balanced Latin squares to show how streamlining can also be very effective for local search: Our approach is much faster and generates considerably larger spatially balanced Latin squares than previously reported approaches (up to order 35; the previous best results could only generate solutions up to order 18). We also provide a detailed characterization of our streamliner and solution topology for small orders. We believe that streamlined local search is a general technique suitable for solving a wide range of hard combinatorial design problems.

Casey Smith, Carla P. Gomes, and Cèsar Fernández. 2005. Streamlining Local Search for Spatially Balanced Latin Squares. In Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence, IJCAI-05. IJCAI, 1539–1539. https://ijcai.org/proceedings/2005/330
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