Abstract: It is well-known that power systems operation always affected by various uncertainties which make the bus voltage a random process that can be characterized by its probability density ...

The probability density function of a uniform random variable looks like a horizontal line segment over the support. This indicates that for any interval of a given length within the support, the ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...

Data is the life-blood of physical AI. Collecting real-life data is expensive. Generative AI and diffusion to create ...

This project studies how a real-world variable behaves after applying a non-linear transformation and how its probability density function (PDF) can be learned directly from data. The dataset used is ...

Abstract: A new theoretical framework for the nonequilibrium Green’s function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductors. Since the impurity ...