进化启发式A*搜索:自设计优化启发式函数的寻路算法

Ying Fung Yiu, E. Du, R. Mahapatra
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引用次数: 4

摘要

A*搜索算法的性能和效率在很大程度上取决于启发式函数的质量。因此,设计最优启发式函数成为开发特定领域人工智能搜索算法的首要目标。然而,如果没有仔细的考虑和试错,很难设计一个构造良好的启发式函数,特别是对于复杂的寻径问题。当涉及到越来越多的参数时,启发式函数的复杂性会增加,并且变得难以设计。现有的方法通常避免复杂的启发式函数设计:它们要么为了更快的计算而牺牲准确性,要么为了更好的性能而利用并行性。本文的目的是为了降低A*搜索算法中复杂启发式函数设计的难度。我们的目标是设计一种可以自动优化的算法,以实现快速、高精度和低计算成本的搜索。本文提出了一种新的多加权启发式函数(MWH)的设计和优化方法——进化启发式a *搜索(Evolutionary Heuristic a * search, EHA*),以:(1)通过遗传算法(GA)最小化启发式函数设计的工作量;(2)优化a *搜索及其变体(包括但不限于WA*和MHA*)的性能;(3)保证其完备性和最优性。EHA*算法实现了高性能搜索,显著简化了启发式设计的处理。我们将EHA*应用于多个基于网格的寻路基准来评估性能。实验结果表明,EHA*(1)能够准确选择提供最优解的启发式函数,(2)能够识别和消除低效的启发式函数,(3)能够自动设计多启发式函数,(4)最小化时间和空间复杂度。
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Evolutionary Heuristic A* Search: Pathfinding Algorithm with Self-Designed and Optimized Heuristic Function
The performance and efficiency of A* search algorithm heavily depends on the quality of the heuristic function. Therefore, designing an optimal heuristic function becomes the primary goal of developing a search algorithm for specific domains in artificial intelligence. However, it is difficult to design a well-constructed heuristic function without careful consideration and trial-and-error, especially for complex pathfinding problems. The complexity of a heuristic function increases and becomes unmanageable to design when an increasing number of parameters are involved. Existing approaches often avoid complex heuristic function design: they either trade-off the accuracy for faster computation or taking advantage of the parallelism for better performance. The objective of this paper is to reduce the difficulty of complex heuristic function design for A* search algorithm. We aim to design an algorithm that can be automatically optimized to achieve rapid search with high accuracy and low computational cost. In this paper, we present a novel design and optimization method for a Multi-Weighted-Heuristics function (MWH) named Evolutionary Heuristic A* search (EHA*) to: (1) minimize the effort on heuristic function design via Genetic Algorithm (GA), (2) optimize the performance of A* search and its variants including but not limited to WA* and MHA*, and (3) guarantee the completeness and optimality. EHA* algorithm enables high performance searches and significantly simplifies the processing of heuristic design. We apply EHA* to multiple grid-based pathfinding benchmarks to evaluate the performance. Our experiment result shows that EHA* (1) is capable of choosing an accurate heuristic function that provides an optimal solution, (2) can identify and eliminate inefficient heuristics, (3) is able to automatically design multi-heuristics function, and (4) minimizes both the time and space complexity.
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