Matrix and Tensor Factorization Techniques for Recommender Systems

1. Front Matter

   Pages i-vi

   PDF

2. Matrix Factorization Techniques

   1. Front Matter

      Pages 1-1

      PDF

   2. Introduction

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 3-17

   3. Related Work on Matrix Factorization

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 19-31

   4. Performing SVD on Matrices and Its Extensions

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 33-57

   5. Experimental Evaluation on Matrix Decomposition Methods

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 59-65

3. Tensor Factorization Techniques

   1. Front Matter

      Pages 67-67

      PDF

   2. Related Work on Tensor Factorization

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 69-80

   3. HOSVD on Tensors and Its Extensions

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 81-93

   4. Experimental Evaluation on Tensor Decomposition Methods

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 95-99

   5. Conclusions and Future Work

      • Panagiotis Symeonidis, Andreas Zioupos

      Pages 101-102

This book presents the algorithms used to provide recommendations by exploiting matrix factorization and tensor decomposition techniques. It highlights well-known decomposition methods for recommender systems, such as Singular Value Decomposition (SVD), UV-decomposition, Non-negative Matrix Factorization (NMF), etc. and describes in detail the pros and cons of each method for matrices and tensors. This book provides a detailed theoretical mathematical background of matrix/tensor factorization techniques and a step-by-step analysis of each method on the basis of an integrated toy example that runs throughout all its chapters and helps the reader to understand the key differences among methods. It also contains two chapters, where different matrix and tensor methods are compared experimentally on real data sets, such as Epinions, GeoSocialRec, Last.fm, BibSonomy, etc. and provides further insights into the advantages and disadvantages of each method.

The book offers a rich blend of theory and practice, making it suitable for students, researchers and practitioners interested in both recommenders and factorization methods. Lecturers can also use it for classes on data mining, recommender systems and dimensionality reduction methods.

• Recommender Systems
• Information Retrieval
• Factorization Methods
• Machine Learning
• Matrix Factorization

“This carefully written book offers advanced undergraduates, graduate students, researchers and professionals a comprehensive overview of the general concepts and techniques (e.g., models and algorithms) related to matrix and tensor factorization in the field of recommender systems, with a rich blend of theory and practice. … I am definitely a recommender of this book!” (Bruno Carpentieri, Mathematical Reviews, August, 2017)

• Department of Informatics, Aristotle University of Thessalonik, Thessaloniki, Greece

  Panagiotis Symeonidis

• Thessaloniki, Greece

  Andreas Zioupos

Panagiotis Symeonidis is Adjunct Assistant Professor at the Aristotle University of Thessaloniki, Greece. He is the co-author of 2 international books, 18 journal papers, 4 book chapters and more than 28 articles in international conference proceedings. His articles have received almost 1400 citations from other scientific publications. He teaches courses on databases, data mining and data. For almost four years, he was the head of 1st EK (Laboratory Center) of Stavroupolis between September 2011 to July 2015. His research interests focus on recommender systems, social media in Web 2.0 and time-evolving online social networks.


Andreas Zioupos has a B.Sc. degree in Mathematics and received his M.Sc. degree in Informatics & Management in 2015 from the Aristotle University of Thessaloniki, under the supervision of Dr. Panagiotis Symeonidis. He is an instructor for Google web tools and also has currently a contract as freelancer with the University of Piraeus on the project “Creating a framework for documentation, collection and disposal in the form of Linked Open Data from research results and official data of general government relating to domestic economic activity”. His research interests focus on data mining, recommender systems and dimensionality reduction methods.

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