Title
A Graph-Based Recommendation Algorithm on Quaternion Algebra
Abstract
This study presents a novel Quaternion-based link prediction method to be used in different recommendation systems. The method performs Quaternion algebra-based computations while making use of expressive and wide-ranged learning properties of the Hamilton products. The proposed key capabilities rely on link prediction to boost performance in top-N recommendation tasks. According to the achieved experimental results, the proposed method allows for highly improved performance according to three quality measurements: (i) hits rate, (ii) coverage, and (iii) novelty; when applied to two datasets, namely the Movielens and Hetrec datasets. To assess the flexibility level of the proposed algorithm in terms of incorporating alternative sources of information, further wide-scale tests are carried out on three subsets of the Amazon dataset. Hence, the effectiveness of Quaternion algebra in graph-based recommendation algorithms is verified. The algorithms suggested here are further enhanced using similarity and dissimilarity factors between users and items, as well as ‘like’ and ‘dislike’ relationships between users and items. It is observed that this approach is adaptable by incorporating different information sources and can successfully overcome the drawbacks of conventional graph-based recommender systems. It is argued that the proposed novel idea of Quaternion-based link prediction method stands as a superior alternative to existing methods.
Year
DOI
Venue
2022
10.1007/s42979-022-01171-4
SN Computer Science
Keywords
DocType
Volume
Graphs, Link prediction, Recommendation algorithms, Quaternions
Journal
3
Issue
ISSN
Citations 
4
2661-8907
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Kurt Zuhal100.34
Ömer Nezih Gerek211819.51
Bilge Alper300.34
Özkan Kemal400.34