Fiasconaro A, Tumminello M, Nicosia V, Latora V, Mantegna R N
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK.
Dipartimento di Scienze Economiche, Aziendali e Statistiche, Università di Palermo, Viale delle Scienze Ed. 13, 90128 Palermo, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Jul;92(1):012811. doi: 10.1103/PhysRevE.92.012811. Epub 2015 Jul 14.
We propose two recommendation methods, based on the appropriate normalization of already existing similarity measures, and on the convex combination of the recommendation scores derived from similarity between users and between objects. We validate the proposed measures on three data sets, and we compare the performance of our methods to other recommendation systems recently proposed in the literature. We show that the proposed similarity measures allow us to attain an improvement of performances of up to 20% with respect to existing nonparametric methods, and that the accuracy of a recommendation can vary widely from one specific bipartite network to another, which suggests that a careful choice of the most suitable method is highly relevant for an effective recommendation on a given system. Finally, we study how an increasing presence of random links in the network affects the recommendation scores, finding that one of the two recommendation algorithms introduced here can systematically outperform the others in noisy data sets.
我们提出了两种推荐方法,一种基于对现有相似性度量进行适当的归一化处理,另一种基于从用户之间和对象之间的相似性得出的推荐分数的凸组合。我们在三个数据集上验证了所提出的度量,并将我们方法的性能与文献中最近提出的其他推荐系统进行了比较。我们表明,所提出的相似性度量使我们相对于现有的非参数方法能够将性能提高多达20%,并且推荐的准确性在不同的特定二分网络之间可能有很大差异,这表明仔细选择最合适的方法对于在给定系统上进行有效推荐至关重要。最后,我们研究了网络中随机链接的增加如何影响推荐分数,发现这里介绍的两种推荐算法之一在噪声数据集中能够系统地优于其他算法。