From Cities to Series: Complex Networks and Deep Learning for Improved Spatial and Temporal Analytics*

Abstract

The relationship between entities of interest is a property that can be represented as a graph defined over sets of entities (vertices) and relationships (edges). Graphs have often been used to answer questions about the interaction between real-world entities by taking advantage of their capacity to represent complex topologies. Complex networks are known to be graphs that capture such non-trivial topologies; they are able to represent human phenomena such as epidemic processes, the dynamics of populations, and the urbanization of cities. The investigation of complex networks has been extrapolated to many fields of science, with particular emphasis on computing techniques, including artificial intelligence. In such a case, the analysis of the interaction between entities of interest is transposed to the internal learning of algorithms, a paradigm whose investigation is able to expand the state of the art in Computer Science. By exploring this paradigm, this thesis puts together complex networks and machine learning techniques to improve the understanding of the human phenomena observed in pandemics, pendular migration, and street networks. Accordingly, we contribute with: (i) a new neural network architecture capable of modeling dynamic processes observed in spatial and temporal data with applications in epidemics propagation, weather forecasting, and patient monitoring in intensive care units; (ii) a machine-learning methodology for analyzing and predicting links in the scope of human mobility between all the cities of Brazil; and, (iii) techniques for identifying inconsistencies in the urban planning of cities while tracking the most influential vertices, with applications over Brazilian and worldwide cities. We obtained results sustained by sound evidence of advances to the state of the art in artificial intelligence, rigorous formalisms, and ample experimentation. Our findings rely upon real-world applications in a range of domains, demonstrating the applicability of our methodologies.* This piece refers to an extended abstract of the Ph.D. thesis under the same name defended in the Graduate Program in Computer Science and Computational Mathematics (PPG-CCMC) of the Institute of Mathematics and Statistics (ICMC) from the University of Sao Paulo (USP) -Brazil on July 12, 2021. The authors here listed refer to the Ph.D. candidate and his advisor, respectively. This paper was generated while the first author was conducting postdoctoral studies at the