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Mining Frequent Patterns in 2D+t Grid Graphs for Cellular Automata Analysis

机译:挖掘2D + t网格图中的频繁模式以进行细胞自动机分析

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A 2D grid is a particular geometric graph that may be used to represent any 2D regular structure such as, for example, pixel grids, game boards, or cellular automata. Pattern mining techniques may be used to automatically extract interesting substructures from these grids. 2D+t grids are temporal sequences of grids which model the evolution of grids through time. In this paper, we show how to extend a 2D grid mining algorithm to 2D+t grids, thus allowing us to efficiently find frequent patterns in 2D+t grids. We evaluate scale-up properties of this algorithm on 2D+t grids generated by a classical cellular automaton, i.e., the game of life, and we show that the extracted spatio-temporal patterns may be used to analyze this kind of cellular automata.
机译:2D网格是一种特定的几何图形,可用于表示任何2D规则结构,例如像素网格,游戏板或细胞自动机。模式挖掘技术可用于从这些网格中自动提取有趣的子结构。 2D + t网格是网格的时间序列,可对网格随时间的演变进行建模。在本文中,我们展示了如何将2D网格挖掘算法扩展到2D + t网格,从而使我们能够有效地找到2D + t网格中的频繁模式。我们评估了该算法在经典细胞自动机生成的2D + t网格上的放大属性,即生命游戏,并且我们证明了提取的时空模式可用于分析这种细胞自动机。

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