用几何空间建模棋局中的策略演变,让抽象战术可追踪可理解。
Abstract Concept Modelling in Conceptual Spaces: A Study on Chess Strategies
- 将棋局策略视为时空轨迹,映射到可解释的几何维度上
- 轨迹走向与专家解说高度一致,验证了识别有效性
- 适合研究决策过程、策略演化或人机认知对比的学者
我们提出一种概念空间框架,用于建模随时间展开的抽象概念,以国际象棋为案例验证。攻击、弃子等策略概念被表示为可解释质量维度上的几何区域,棋局实例化为轨迹,其朝向特定区域的运动方向可用于识别意图策略。该方法支持双视角建模,捕捉不同玩家对相同局面的不同解读。实现表明基于轨迹的概念识别可行,运动模式与专家评论高度吻合。本工作探索将概念空间理论拓展至动态、目标导向的概念,为序列决策场景提供基础,并支持与知识演化机制结合,实现抽象概念的持续学习与优化。
原文摘要 · Abstract (English)
We present a conceptual space framework for modelling abstract concepts that unfold over time, demonstrated through a chess-based proof-of-concept. Strategy concepts, such as attack or sacrifice, are represented as geometric regions across interpretable quality dimensions, with chess games instantiated and analysed as trajectories whose directional movement toward regions enables recognition of intended strategies. This approach also supports dual-perspective modelling, capturing how players interpret identical situations differently. Our implementation demonstrates the feasibility of trajectory-based concept recognition, with movement patterns aligning with expert commentary. This work explores extending the conceptual spaces theory to temporally realised, goal-directed concepts. The approach establishes a foundation for broader applications involving sequential decision-making and supports integration with knowledge evolution mechanisms for learning and refining abstract concepts over time.
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