A study of creativity and understanding with context trees and the probe model

• Grant number: 20/03398-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2020
• End date: June 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Jefferson Antonio Galves
• Grantee: Yan Tadeu Kaled e Silva Barbosa
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat, AP.CEPID

Abstract

The goal of this research is to model the relations between information’s given to participants of an experiment about the structures of stochastic sequences generating laws, and different kinds of structure learning rate metrics, as weel as accuracy of infered laws, with the PROBE model proposed by Collins and Koechlin for studying the phenomena of learning and creativity in the brain, and with the experimental protocol called "Goalkeeper's Game" proposed by Bruno Monte Castro, and developed by CEPID Neuromat, according to the methods of analysis of stochastic chains with memory of variable length and context trees, also developed by CEPID Neuromat. Thus, this research contributes to the knowledge of the phenomena of understanding and creativity in the human brain, using statistical and algorithmic paradigms based on the theoretical body of neuromathematics developed by CEPID Neuromat, together with the theoretical PROBE Model proposed by Collins and Koechlin. (AU)