HYBRID MODEL OF SELF-ORGANIZING MAP AND ADAPTIVE NEURO FUZZY INFERENCE SYSTEM IN STOCK INDEXES FORECASTING

M. Kushnir, K. Tokarieva
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Abstract

The paper investigates methods of artificial intelligence in the prognostication and analysis of financial data time series. It is uncovered that scholars and practitioners face some difficulties in modelling complex system such as the stock market because it is nonlinear, chaotic, multi- dimensional, and spatial in nature, making forecasting a complex process. Models estimating nonstationary financial time series may include noise and errors. The relationship between the input and output parameters of the models is essentially non-linear, where stock prices include higher-level variables, which complicates stock market modeling and forecasting. It is also revealed that financial time series are multidimensional and they are influenced by many factors, such as economics, politics, environment and so on. Analysis and evaluation of multi- dimensional systems and their forecasting should be carried out by machine learning models. The problem of forecasting the stock market and obtaining quality forecasts is an urgent task, and the methods and models of machine learning should be the main mathematical tools in solving the above problems. First, we proposed to use self-organizing map, which is used to visualize multidimensional data by configuring neurons to quantize or cluster the input space in the topological structure. These characteristics of this algorithm make it attractive in solving many problems, including clustering, especially for forecasting stock prices. In addition, the methods discussed, encourage us to apply this cluster approach to present a different data structure for forecasting. Thus, models of adaptive neuro-fuzzy inference system combine the characteristics of both neural networks and fuzzy logic. Given the fact that the rule of hybrid learning and the theory of logic is a clear advantage of adaptive neuro-fuzzy inference system, which has computational advantages over other methods of parameter identification, we propose a new hybrid algorithm for integrating self-organizing map with adaptive fuzzy inference system to forecast stock index prices. This algorithm is well suited for estimating the relationship between historical prices in stock markets. The proposed hybrid method demonstrated reduced errors and higher overall accuracy.
自组织映射与自适应神经模糊推理系统混合模型在股指预测中的应用
本文研究了人工智能在金融数据时间序列预测和分析中的应用方法。研究发现,股票市场等复杂系统具有非线性、混沌性、多维性和空间性,预测过程复杂,学者和实践者在对其进行建模时遇到了一些困难。估计非平稳金融时间序列的模型可能包含噪声和误差。模型的输入和输出参数之间的关系本质上是非线性的,其中股票价格包含更高层次的变量,这使得股票市场建模和预测变得复杂。金融时间序列是多维的,受经济、政治、环境等诸多因素的影响。多维系统的分析和评估及其预测应该由机器学习模型来完成。预测股票市场并获得高质量的预测是一项紧迫的任务,机器学习的方法和模型应该是解决上述问题的主要数学工具。首先,我们提出使用自组织映射,通过配置神经元对拓扑结构中的输入空间进行量化或聚类来实现多维数据的可视化。该算法的这些特点使其在解决包括聚类在内的许多问题时具有吸引力,特别是在预测股票价格方面。此外,讨论的方法鼓励我们应用这种聚类方法来呈现不同的预测数据结构。因此,自适应神经模糊推理系统模型结合了神经网络和模糊逻辑的特点。鉴于混合学习规则和逻辑理论是自适应神经模糊推理系统的明显优势,与其他参数辨识方法相比具有计算优势,我们提出了一种将自组织映射与自适应模糊推理系统相结合的混合算法来预测股指价格。该算法非常适合于估计股票市场历史价格之间的关系。该方法误差较小,总体精度较高。
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