计算机科学 ›› 2024, Vol. 51 ›› Issue (6A): 230900104-8.doi: 10.11896/jsjkx.230900104
朱平1,2, 邹卫明3, 吕珀华1, 史进3, 蒋学涛1, 马益荣3
ZHU Ping1,2, ZOU Weiming3, LYU Pohua1, SHI Jin3, JIANG Xuetao1, MA Yirong3
摘要： 本研究以构建以人类可以理解的方式寻找解决实际问题的方法与步骤的机器思维机制为目的。数学是人类描述客观世界状态和运行规律的重要思维工具。数学也是机器类人自动求解问题答案、解释运行方法和生成中间步骤的重要工具。客观世界的描述语言表述形式多样、规模巨大且特征稀疏,其语义表示、语义积聚、语义分析、以及机器思维机制的实现方法都是基于用例积累渐进式明晰和完善的。在数学应用题类人自动求解领域,机器思维主要依靠的基本数学概念及其蕴含的计算理论包括集合、比例(分数)、不等关系、枚举和数据归纳与推导(趋势判别)等。从机器思维系统实现的角度,以集合对象及其比例计算的语义渐进积聚和识别为例,讨论了数学原理在机器思维系统中的应用技术路线。最后,用示例介绍了机器自动类人求解一道具体的初等数学应用题的完整过程和中间步骤,展望了机器思维应用不等关系、枚举、数轴、坐标系和数学归纳与推导等数学工具的方法和前景。
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