论文标题
对称作为直观几何形状的表示？
Symmetry as a Representation of Intuitive Geometry?
论文作者
论文摘要
认识几何模式似乎是人类智力的重要方面。几何模式识别用于许多智能测试，包括基于直观的几何概念的Dehaene的核心几何测试（CG）（CG）（Dehaene等，2006）。早期的工作已经开发了基于对称性的Dehaene检验的认知模型，并证明了与人类相当的表现。在这项工作中，我们进一步研究了对称性在几何直觉中的作用，并为CG检验的2-替代强制选择（2-AFC）变异建立了认知模型（Marupudi＆Varma 2021）。与Dehaene的测试相反，2-AFC几乎没有基于多个示例的概括的认知模型的空间。我们基于对称的模型在2-AFC测试中达到了与人类平均值相当的精度，并且似乎捕获了直观几何的基本部分。
Recognition of geometrical patterns seems to be an important aspect of human intelligence. Geometric pattern recognition is used in many intelligence tests, including Dehaene's odd-one-out test of Core Geometry (CG)) based on intuitive geometrical concepts (Dehaene et al., 2006). Earlier work has developed a symmetry-based cognitive model of Dehaene's test and demonstrated performance comparable to that of humans. In this work, we further investigate the role of symmetry in geometrical intuition and build a cognitive model for the 2-Alternative Forced Choice (2-AFC) variation of the CG test (Marupudi & Varma 2021). In contrast to Dehaene's test, 2-AFC leaves almost no space for cognitive models based on generalization over multiple examples. Our symmetry-based model achieves an accuracy comparable to the human average on the 2-AFC test and appears to capture an essential part of intuitive geometry.
