scholarly journals Propagation on Multi-relational Graphs for Node Regression

Author(s):  
Eda Bayram
Keyword(s):  
Author(s):  
Jie Guo ◽  
Yan Zhou ◽  
Peng Zhang ◽  
Bin Song ◽  
Chen Chen
Keyword(s):  

Author(s):  
Zhichao Huang ◽  
Xutao Li ◽  
Yunming Ye ◽  
Michael K. Ng

Graph Convolutional Networks (GCNs) have been extensively studied in recent years. Most of existing GCN approaches are designed for the homogenous graphs with a single type of relation. However, heterogeneous graphs of multiple types of relations are also ubiquitous and there is a lack of methodologies to tackle such graphs. Some previous studies address the issue by performing conventional GCN on each single relation and then blending their results. However, as the convolutional kernels neglect the correlations across relations, the strategy is sub-optimal. In this paper, we propose the Multi-Relational Graph Convolutional Network (MR-GCN) framework by developing a novel convolution operator on multi-relational graphs. In particular, our multi-dimension convolution operator extends the graph spectral analysis into the eigen-decomposition of a Laplacian tensor. And the eigen-decomposition is formulated with a generalized tensor product, which can correspond to any unitary transform instead of limited merely to Fourier transform. We conduct comprehensive experiments on four real-world multi-relational graphs to solve the semi-supervised node classification task, and the results show the superiority of MR-GCN against the state-of-the-art competitors.


2008 ◽  
Vol 17 (1) ◽  
pp. 57-76 ◽  
Author(s):  
Apostolos N. Papadopoulos ◽  
Apostolos Lyritsis ◽  
Yannis Manolopoulos
Keyword(s):  

2010 ◽  
Vol 44-47 ◽  
pp. 3154-3158
Author(s):  
Hui Liu ◽  
Xiao Hui Xing

Modeling spatial context (e.g., autocorrelation) is a key challenge in classification and retrieval problems that arise in image processing regions. This work proposes a new approach for medical images retrieval enlightened by traditional Markov Random Field model and improve on it. Contrasting with previous work, this method relies on coping with the ambiguity of spatial relative position concepts: a new definition of the geometric relationship between two objects in a fuzzy set framework is proposed. This definition is based on a fuzzy pattern-matching approach, which comparing an object by the fuzzy set representation of the degree of position satisfaction to a reference object. Furthermore, Fuzzy Attributed Relational Graphs (FARGs) are used in this framework for the purpose of medical image similarity measurement.


Author(s):  
Jyh-Ren Shieh ◽  
Ching-Yung Lin ◽  
Shun-Xuan Wang ◽  
Ja-Ling Wu

The abundance of Web 2.0 social media in various media formats calls for integration that takes into account tags associated with these resources. The authors present a new approach to multi-modal media search, based on novel related-tag graphs, in which a query is a resource in one modality, such as an image, and the results are semantically similar resources in various modalities, for instance text and video. Thus the use of resource tagging enables the use of multi-modal results and multi-modal queries, a marked departure from the traditional text-based search paradigm. Tag relation graphs are built based on multi-partite networks of existing Web 2.0 social media such as Flickr and Wikipedia. These multi-partite linkage networks (contributor-tag, tag-category, and tag-tag) are extracted from Wikipedia to construct relational tag graphs. In fusing these networks, the authors propose incorporating contributor-category networks to model contributor’s specialization; it is shown that this step significantly enhances the accuracy of the inferred relatedness of the term-semantic graphs. Experiments based on 200 TREC-5 ad-hoc topics show that the algorithms outperform existing approaches. In addition, user studies demonstrate the superiority of this visualization system and its usefulness in the real world.


Sign in / Sign up

Export Citation Format

Share Document