Spin graphs and Transdimensional Simulated Annealing

• Grant number: 23/05383-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2023
• End date: May 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Anatoli Iambartsev
• Grantee: João Felipe de Souza Melo
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM

Abstract

Graphs with coupled numerical structures (spin-graphs) are objects little studied (due to their complexity) in mathematical rigor and rich in examples of modeling phenomena in various research areas. The main objectives of this project are (1) the study of random processes in some spin-graph spaces, (2) the representation of neural networks as spin-graphs, and (3) the adaptation of an optimization method known as simulated annealing in search space of neural architectures.