Dynamic Network Representation Based on Latent Factorization of Tensors by Hao Wu

Dynamic Network Representation Based on Latent Factorization of Tensors by Hao Wu

A dynamic network is frequently encountered in various real industrial applications, such as the Internet of Things. It is composed of numerous nodes and large-scale dynamic real-time interactions among them, where each node indicates a specified entity, each directed link indicates a real-time interaction, and the strength of an interaction can be quantified as the weight of a link. As the involved nodes increase drastically, it becomes impossible to observe their full interactions at each time slot, making a resultant dynamic network High Dimensional and Incomplete (HDI). An HDI dynamic network with directed and weighted links, despite its HDI nature, contains rich knowledge regarding involved nodes’ various behavior patterns. Therefore, it is essential to study how to build efficient and effective representation learning models for acquiring useful knowledge.

In this book, we first model a dynamic network into an HDI tensor and present the basic latent factorization of tensors (LFT) model. Then, we propose four representative LFT-based network representation methods. The first method integrates the short-time bias, long-time bias and preprocessing bias to precisely represent the volatility of network data. The second method utilizes a proportion-al-integral-derivative controller to construct an adjusted instance error to achieve a higher convergence rate. The third method considers the non-negativity of fluctuating network data by constraining latent features to be non-negative and incorporating the extended linear bias. The fourth method adopts an alternating direction method of multipliers framework to build a learning model for implementing representation to dynamic networks with high preciseness and efficiency.

Dr. Hao WU is a Professor and Director of the Research Office of Structures Subjected to Impact and Blast, Research Institute of Structural Engineering and Disaster Reduction, College of Civil Engineering at Tongji University, Shanghai. He is also a member of the International Association of Protective Structures. Prof. Wu has pursued research on basic theory and engineering applications in impact/blast resistant materials and structures, including the penetration and blast effects of earth penetration weapons on military fortifications and protecting civil engineering structures against accidental impact and explosion. He has published more than 90 academic papers, including 37 indexed by SCI. He has received the second prize of the National Science & Technology Progress Award, and the first prize of the Provincial Science and Technology Progress Award, and is four-time winner of the second prize of the Provincial Science and Technology Progress Award. He is the chairman of the 4th International Workshop on Damage and Failure of Engineering Materials and Structures Subjected to Intense Dynamic Loadings.

Mr. Yong PENG is a lecturer at the Army Engineering University of PLA, Nanjing, China. He is currently a Ph.D. student.

Mr. Xiangzhen KONG is a lecturer at the Army Engineering University of PLA, Nanjing, China. He is currently a Ph.D. student.