Few weeks ago my roommate effusively started telling me that the sum of all natural numbers is –1/12, that is:

1+2+3+4+5+6+7+8 +… = –1/12

I was quite surprised with this statement, specially hearing it from an engineering graduate student.

I myself have a Math background. I studied infinite series back and forth at the beginning of my career, and know some possible leaks that can appear in a demonstration of series convergence. Hence, I already knew what the trick was here, and also I know for a fact that this polemical sum actually equals -3/32. What most surprised me is…

Optimal Transport (OT) is a mathematical field used in many interesting and popular tasks, such as image segmentation, image restoration, computer vision, data analysis, etc., and in general, OT can be useful for those tasks involving a density distribution.

I started using Optimal Transport tools to characterize the functional neural connections in the brain of patients with different neurological disorders. After appropriate preprocessing, I obtained the eigenvalues of the neural graph of each patient and used it as a feature vector. Since the vector of eigenvalues in Euclidean spaces of different dimensions, it was difficult to compute the distance between…