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arXiv 2101.05652cs.NEcs.LG
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基于超复杂信息的自然启发特征选择方法

A Nature-Inspired Feature Selection Approach based on Hypercomplex Information

São Paulo State University(圣保罗州立大学);Middlesex University(米德尔塞克斯大学)

Gustavo H. de Rosa, João Paulo Papa, Xin-She Yang

摘要:

给定模型的特征选择可以转换为优化任务。它背后的基本思想是根据某种标准找到最合适的特征子集。自然启发的优化可以通过在处理复杂的适应度函数时产生令人信服但简单的解决方案来缓解这个问题。此外,新的数学表示,如四元数和八元数,正在被用来处理高维空间。在这种情况下,我们引入了一个元启发式优化框架在超复数为基础的特征选择,超复数映射到实值的解决方案,然后转移到一个布尔超立方体的sigmoid函数。预期的超复杂特征选择进行了测试的几个元启发式算法和超复杂的表示,实现的结果相比,一些国家的最先进的方法。所提出的方法取得了良好的效果,使之成为一个有前途的工具之间的特征选择的研究。

英文摘要:

Feature selection for a given model can be transformed into an optimization task. The essential idea behind it is to find the most suitable subset of features according to some criterion. Nature-inspired optimization can mitigate this problem by producing compelling yet straightforward solutions when dealing with complicated fitness functions. Additionally, new mathematical representations, such as quaternions and octonions, are being used to handle higher-dimensional spaces. In this context, we are introducing a meta-heuristic optimization framework in a hypercomplex-based feature selection, where hypercomplex numbers are mapped to real-valued solutions and then transferred onto a boolean hypercube by a sigmoid function. The intended hypercomplex feature selection is tested for several meta-heuristic algorithms and hypercomplex representations, achieving results comparable to some state-of-the-art approaches. The good results achieved by the proposed approach make it a promising tool amongst feature selection research.

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