Goh Hanlin, Lim Joo-Hwee, Quek Chai
Centre for Computational Intelligence, School of Computer Engineering, Nanyang Technological University, Singapore 639798, Singapore.
IEEE Trans Neural Netw. 2009 Aug;20(8):1302-19. doi: 10.1109/TNN.2009.2023213. Epub 2009 Jul 24.
The fuzzy associative conjuncted maps (FASCOM) is a fuzzy neural network that associates data of nonlinearly related inputs and outputs. In the network, each input or output dimension is represented by a feature map that is partitioned into fuzzy or crisp sets. These fuzzy sets are then conjuncted to form antecedents and consequences, which are subsequently associated to form if-then rules. The associative memory is encoded through an offline batch mode learning process consisting of three consecutive phases. The initial unsupervised membership function initialization phase takes inspiration from the organization of sensory maps in our brains by allocating membership functions based on uniform information density. Next, supervised Hebbian learning encodes synaptic weights between input and output nodes. Finally, a supervised error reduction phase fine-tunes the network, which allows for the discovery of the varying levels of influence of each input dimension across an output feature space in the encoded memory. In the series of experiments, we show that each phase in the learning process contributes significantly to the final accuracy of prediction. Further experiments using both toy problems and real-world data demonstrate significant superiority in terms of accuracy of nonlinear estimation when benchmarked against other prominent architectures and exhibit the network's suitability to perform analysis and prediction on real-world applications, such as traffic density prediction as shown in this paper.
模糊关联连接映射(FASCOM)是一种模糊神经网络,它将非线性相关的输入和输出数据进行关联。在该网络中,每个输入或输出维度由一个特征映射表示,该特征映射被划分为模糊集或清晰集。然后,这些模糊集被连接起来形成前提和结果,随后将它们关联起来形成if-then规则。关联记忆通过一个由三个连续阶段组成的离线批处理模式学习过程进行编码。初始的无监督隶属函数初始化阶段通过基于均匀信息密度分配隶属函数,从我们大脑中感觉映射的组织方式中获得灵感。接下来,有监督的赫布学习对输入和输出节点之间的突触权重进行编码。最后,一个有监督的误差减少阶段对网络进行微调,这使得能够在编码记忆中发现每个输入维度在输出特征空间上不同程度的影响。在一系列实验中,我们表明学习过程中的每个阶段对最终预测精度都有显著贡献。使用玩具问题和真实世界数据进行的进一步实验表明,与其他著名架构相比,在非线性估计精度方面具有显著优势,并展示了该网络在对真实世界应用(如本文所示的交通密度预测)进行分析和预测方面的适用性。