Chennai Mathematical Institute

Seminars




Prof. Michelle Gallo's Lecture Series
Date: 12, 14, 19 and 21 February 2024 @ 11.50 AM ,20 February 2024 @ 3.30 PM
Venue: Seminar Hall
Tensor Data Analysis

Michelle Gallo
University of Naples, Italy.
21-02-24


Abstract

The goal of the lecture series is to present the fundamentals of tensors in data analysis. It will cover tensor decompositions, exploring their theoretical properties, and their strengths and weaknesses. In addition, it will cover algorithms for parameter estimation, such as how to select which decomposition to use and how to interpret their results. All examples will be illustrated by R software packages.

Detailed outline General introduction Tensor - Objects, Manipulation, Operators Matrix decomposition – Uniqueness, SVD, QR, Cholesky decomposition Tensor rank decompositions – CP model- Properties, ALS algorithm, Diagnostic indices, Other algorithms Tucker model - Properties, HOSVD algorithm, Diagnostic indices, Other algorithms

About the Speaker: Dr Michelle Gallo is a Professor of Statistics at University of Naples- L'Orientale, Italy. His academic research and teaching is focused on multivariate data analysis, customer satisfaction analysis, quality control, and statistical methods. He has over 100 research publications in leading journals and also serving as an editorial board member of reputed journals.