Chennai Mathematical Institute

Seminars




Seminar Announcement
Date: Tuesday, 13 June 2023
Time: 11:30 AM
Venue : Seminar Hall (Hybrid mode)
Decompositions of higher-order tensors

Michele Gallo
University of Naples – L’Orientale.
13-06-23


Abstract

Tensors are a highly flexible algebraic architecture for storing data and describing multilinear relationships between entities in a compact form. A generic nth-order tensor stores data along n indices and can be described as a generalization of simple structures such as matrices and three-way array, which are special cases of 2nd-order (2 indices) tensors and 3th-order (3 indices) tensors. CANDECOMP/PARAFAC (CP) is considered to be higher-order extensions of the matrix singular value decomposition, as well as other tensor decomposition and variants for compositional data.

About the Speaker: In 1995, he graduated in Economics and Business from the University of Naples - Federico II, where he subsequently earned a Doctorate in "Total Quality Management" in 2000. He is full professor of Statistics since October 2020 at the University of Naples – L’Orientale. Delegate of the Rector for Orientation and Tutoring Services (from 2020). Elected treasurer of the Italian Statistical Society (SIS) (from July 2020). Vice-Director of the Department of Human and Social Science (from July 2019 to December 2019). President of the degree ‘Political Science and International Relations (L-36)’ (from December 2011 to November 2015). Coordinator of the PhD course ‘Institutions, law and economics of public services’ (from November 2008 to October 2014). Delegate of the Rector for Informatics issues (from 2012 to 2014). President of the Interdepartmental Service Centre for Telematics and Informatics (from January 2007 to December 2011). Quality Assurance Manager for the Scientific Research (from June 2004 to December 2010). PRIMARY RESEARCH INTERESTS: Multivariate data analysis, Compositional data analysis, Rasch analysis, Applied Statistics