IEEE Trans Cybern. 2020 May;50(5):2237-2248. doi: 10.1109/TCYB.2018.2869902. Epub 2018 Oct 2.
The restricted Boltzmann machine (RBM) is an excellent generative learning model for feature extraction. By extending its parameters from real numbers to fuzzy ones, we have developed the fuzzy RBM (FRBM) which is demonstrated to possess better generative capability than RBM. In this paper, we first propose a generative model named Gaussian FRBM (GFRBM) to deal with real-valued inputs. Then, motivated by the fact that the discriminative variant of RBM can provide a self-contained framework for classification with competitive performance compared with some traditional classifiers, we establish the discriminative FRBM (DFRBM) and discriminative GFRBM (DGFRBM) that combine both the generative and discriminative facility by adding extra neurons next to the input units. Specifically, they can be trained into excellent stand-alone classifiers and retain outstanding generative capability simultaneously. The experimental results including text and image (both clean and noisy) classification indicate that DFRBM and DGFRBM outperform discriminative RBM models in terms of reconstruction and classification accuracy, and they behave more stable when encountering noisy data. Moreover, the proposed learning models show some promising advantages over other standard classifiers.
受限玻尔兹曼机(RBM)是一种出色的特征提取生成学习模型。通过将其参数从实数扩展到模糊数,我们开发了模糊 RBM(FRBM),它被证明比 RBM 具有更好的生成能力。在本文中,我们首先提出了一种名为高斯模糊 RBM(GFRBM)的生成模型来处理实值输入。然后,受 RBM 的判别变体可以提供一个自包含的分类框架的事实启发,与一些传统分类器相比具有竞争力的性能,我们建立了判别模糊 RBM(DFRBM)和判别高斯模糊 RBM(DGFRBM),通过在输入单元旁边添加额外的神经元来结合生成和判别功能。具体来说,它们可以被训练成优秀的独立分类器,并同时保留出色的生成能力。包括文本和图像(包括干净和嘈杂)分类在内的实验结果表明,DFRBM 和 DGFRBM 在重建和分类准确性方面优于判别 RBM 模型,并且在遇到嘈杂数据时表现更稳定。此外,所提出的学习模型在其他标准分类器方面显示出一些有希望的优势。