Information Geometry: applications to signal processing and machine learning

• Grant number: 21/04516-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2021
• End date: September 30, 2022
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Sueli Irene Rodrigues Costa
• Grantee: Henrique Koji Miyamoto
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project concerns study and research in the field of Information Geometry, which analyses the intrinsic geometry of families of probability distributions and statistical models, aiming particularly at applications in data processing and data analysis. Methods from this field, which are based on differential/Riemannian geometry, have been recently used in different contexts. The objective of this project is to study the foundations and contributions to this subject, and to research new efficient approaches and algorithms in applications to signal processing and machine learning.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MIYAMOTO, Henrique Koji. Geometry, statistics and applications to communications and learning. 2022. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.