Incremental concept cognitive learning in dynamic formal contexts based on attribute partial order structure diagram

Yunli Ren, Yunxia Zhang, Wenxue Hong
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Abstract

Partial order formal structure analysis (POFSA) is an emerging theory in the field of concept cognitive learning (CCL). Attribute partial order structure diagram (APOSD) is the visual expression of the knowledge structure in POFSA. It has the advantages of explicit expression of the hierarchies of attributes and concise visual expression of the knowledge structure. This paper mainly focuses on the incremental CCL of APOSD in dynamic data circumstances. Firstly, the concept of location information coding of nodes in APOSD is proposed to express the position of nodes in the entire diagram as well as the relationships between nodes, which is an important tool throughout this paper. Secondly, by analyzing the relationship between new objects and objects in the original diagram, dynamic learning strategy for APOSD is proposed. Thirdly, in order to balance the efficiency and accuracy of dynamic learning, a dynamic-static alternating self-learning method for APOSD is proposed, which is an improved incremental learning strategy. Finally, comparative experiments illustrate that compared with non-incremental learning method of APOSD and concept lattice, the two proposed incremental learning methods of APOSD can effectively achieve dynamic self-updating of the knowledge base when processing dynamic data, and provide another perspective for discovering knowledge from the same data. Besides, the effectiveness of the improved incremental learning strategy is verified as well.

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基于属性偏序结构图的动态形式语境中的增量概念认知学习
偏序形式结构分析(POFSA)是概念认知学习(CCL)领域的一种新兴理论。属性偏序结构图(APOSD)是 POFSA 中知识结构的可视化表达方式。它具有明确表达属性层次和简洁直观表达知识结构的优点。本文主要研究动态数据环境下 APOSD 的增量 CCL。首先,提出了 APOSD 中节点位置信息编码的概念,以表达节点在整个图中的位置以及节点之间的关系,这是贯穿本文的重要工具。其次,通过分析新对象与原图中对象之间的关系,提出了 APOSD 的动态学习策略。第三,为了平衡动态学习的效率和准确性,提出了 APOSD 的动静交替自学习方法,这是一种改进的增量学习策略。最后,对比实验表明,与 APOSD 的非增量学习方法和概念网格相比,所提出的两种 APOSD 增量学习方法在处理动态数据时能有效实现知识库的动态自更新,为从相同数据中发现知识提供了另一种视角。此外,改进后的增量学习策略的有效性也得到了验证。
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11.50%
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352
期刊介绍: Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.
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