our conversations about manifold learning) would engage me in such an inspiring way. Since then, we proposed and carried out countless experiments, published several papers, and received many awards and scholarships. But, most importantly, I truly believe that our contributions are positively impacting science and the future generation of researchers. I am very grateful for all his support and mentorship, for all conversations and debates that we had, and, more importantly, for believing in me. I hope that we continue to work for countless years.Not only that, but I would like to thank all my family. Specially, my gratitude goes to my parents Daniela and Rodrigo; my stepparents Fabio and Karla; my grandparents Zélia, Renato (in memoriam), Elisabeth, and Miguel; and my great-grandmother Carmelina. All of you have supported and helped me whenever I need, and I hope that I was there for all of you as well. In addition, I thank my young siblings Catarina and Dante, since they came to the world, they are my source of happiness.I would like to name some of my closest friends, Leonardo Ferreira and Gabriel Coutrin. This work would not be possible and would not achieve this quality without the help, contributions, and partnership of both of you. Some parts of the methodology presented here were based on ideas that were sparked on the never-ending discussions (I am to blame for this) that we had. Therefore, I also dedicate this work to you two, and I wish that we continue to work on many more projects. Also, I would like to thank Igor Franco for being one of the best friends that one would desire. I hope that our friendship lasts for life.Thanks God for being around many lovely, supporting, and caring family and friends.