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Abstract: In the first part of this lecture, we will tell in a “nutshell” where Inverse Problems come from, what they are and how they are approached. We will do this by a few questions from different beautiful areas of life. The main and second part of this lecture will demon-strate a powerful application of the Theory of Inverse Problems along with advanced Statis-tics, Data Science, Machine Learning, Operational Research, Artificial Intelligence, Biomedi-cal Engineering, Neuroscience and its Big-Data, namely for an improved “early indication” of the dementia disease which we call as “Alzheimer’s”. We shall present some quite diverse views on this dangerous illness. The methods of MARS and our own version of CMARS, no-tably by addressing the units of “Voxels” in the brain, have led to very good results. In the third part of this lecture we will shortly move from human brain to heart and discuss our selected problem of medical imaging there as well. For both brain and heart we will look at the inverse and the corresponding forward problem of “generation”. We shall pursue and overcome this dichotomy in our lastly mentioned challenge, namely how mathematics, algo-rithms and computational machines can support us in the creation of art. We shall mainly refer to the “Marbling Arts”, notably “Ebru”. With our lecture we strive to create “appetite” in order to study more, to study and find out more, to create and invent more, and to collaborate and enjoy together more. During the lecture we shall discuss some newest models in physics and biology, cosmology and generalized space-time research, with beauty and wonders of the smallest and the biggest and including the “spirit”. For our whole agenda we will need you - our friends and the young generation.