In recent years, the development of recommendation systems has become an important area of research for data scientists. A recommendation system (or recommender system) is an algorithm that attempts to predict the rating that a user or costumer will give to an item. Recommendation systems have become quite popular in the field of e-commerce for predicting ratings of movies, books, news, research articles etc. Research in the area of data analytics and recommendation systems have lead to important efforts toward solving the so called matrix completion problem. The latter entails estimating the missing elements of a matrix containing customer ratings. The aforementioned problem can be extended to the recovery of the missing elements of a multilinear array or tensor. Prestack seismic data in midpoint-offset domain can be represented by a 5th order tensor. Therefore, tensor completion methods can be applied to the recovery of unrecorded traces. Furthermore, tensor completion methodologies can also be applied for multidimensional signal-to- noise-ratio enhancement. We discuss the implementation of tensor completion algorithms to reconstruct and enhance 5D volumes. I will also discuss the successful application of tensor completion techniques to the reconstruction of field data sets.
Mauricio D. Sacchi was born and raised in Coronel Brandsen (Buenos Aires), Argentina. He received a diploma in geophysics from The National University of La Plata, Argentina, in 1988 and a PhD in geophysics from UBC, Canada, in 1996. He joined the Department of Physics at the University of Alberta (Edmonton, Canada) in 1997. His research interests are in the area of signal analysis and imaging methods. He directs the Signal Analysis and Imaging Group, an industry-sponsored initiative for advanced research in signal processing and imaging. He has developed and taught short courses for the industry and for SEG, CSEG, and EAGE in seismic signal theory, transform methods for signal enhancement, seismic inversion, and multidimensional data reconstruction. With Tad Ulrych, he wrote the book Information-based processing and inversion with applications (Elsevier). He is the recipient of the 2012 CSEG Medal. He is also the 2014 SEG Central & South America Honorary Lecturer.