Proteins are the tiny machines that keep our cells running, and how long they last in the cell often determines how well they ...

Small variations in DNA sequence can alter an organism’s response to the environment or susceptibility to disease. Interpreting the impact of genome sequence variation remains a research challenge.

We propose a discrete approximation scheme to a class of Linear Quadratic Continuous Time Problems. It is shown, under positiveness of the matrix in the integral cost, that optimal solutions of the ...

The study of divergence‐measure fields has significantly advanced the analytical framework underpinning classical Gauss–Green theorems by extending their applicability to irregular settings.

Gradient descent-trained neural networks operate effectively even in overparameterized settings with random weight initialization, often finding global optimum solutions despite the non-convex nature ...

The next ICTP SISSA Colloquium will be held by professor Luigi Ambrosio from Scuola Normale Superiore. The seminar, titled "On some variational problems involving functions with bounded Hessian", will ...

Abstract: In this paper, we study functions of bounded variation on a complete and connected metric space with finite one-dimensional Hausdorff measure. The definition of BV functions on a compact ...

A research group has studied how seasons influence the function of the brain. Researchers showed that the length of daylight affects the opioid receptors, which in turn regulates the mood we ...

In this paper, we study the structure of the space of functions of bounded second variation in the sense of Shiba; an integral representation theorem is also proved and necessary conditions are given ...