arXiv:2410.11078cs.LG2024-10被引 7

用Transformer预测棋题难度,更贴近人类解题思维。

Predicting Chess Puzzle Difficulty with Transformers

  • 基于Glicko-2系统设计Transformer模型,融合棋子位置与走法序列。
  • 在超400万棋题上测试,性能优于现有最优模型。
  • 适合棋类训练、教育科技与认知建模研究者参考。

本研究解决棋题难度量化这一复杂问题,涉及博弈论与人类认知,对有效国际象棋训练至关重要。我们提出GlickFormer,一种基于Transformer的架构,通过近似Glicko-2评级系统预测棋题难度。不同于以胜负为目标的传统引擎,GlickFormer模拟人类对战术模式和解题复杂性的感知。模型采用改进的ChessFormer骨干网络提取空间特征,并通过因子化Transformer技术引入时间信息,有效捕捉棋子布局与走法序列的时空关系。实验在超过400万枚棋题数据集上进行,结果表明GlickFormer在多项指标上均优于当前最佳的ChessFormer基线。该算法还在IEEE BigData 2024杯:预测棋题难度竞赛中取得第11名的优异成绩。研究结果对个性化棋类训练及教育科技、认知建模等领域具有重要启示。

原文摘要 · Abstract (English)

This study addresses the challenge of quantifying chess puzzle difficulty - a complex task that combines elements of game theory and human cognition and underscores its critical role in effective chess training. We present GlickFormer, a novel transformer-based architecture that predicts chess puzzle difficulty by approximating the Glicko-2 rating system. Unlike conventional chess engines that optimize for game outcomes, GlickFormer models human perception of tactical patterns and problem-solving complexity. The proposed model utilizes a modified ChessFormer backbone for spatial feature extraction and incorporates temporal information via factorized transformer techniques. This approach enables the capture of both spatial chess piece arrangements and move sequences, effectively modeling spatio-temporal relationships relevant to difficulty assessment. Experimental evaluation was conducted on a dataset of over 4 million chess puzzles. Results demonstrate GlickFormer's superior performance compared to the state-of-the-art ChessFormer baseline across multiple metrics. The algorithm's performance has also been recognized through its competitive results in the IEEE BigData 2024 Cup: Predicting Chess Puzzle Difficulty competition, where it placed 11th. The insights gained from this study have implications for personalized chess training and broader applications in educational technology and cognitive modeling.

棋类AITransformer难度评估

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