Regulariza\c{c}\~ao, aprendizagem profunda e interdisciplinaridade em problemas inversos mal-postos

In this book, written in Portuguese, we discuss what ill-posed problems are and how the regularization method is used to solve them. In the form of questions and answers, we reflect on the origins and future of regularization, relating the similarities and differences of its meaning in different areas, including inverse problems, statistics, machine learning, and deep learning.