The title probably doesn't make a lot of sense, so let me lay out what I'm doing. I'm in the early stages of creating a framework for generating test data for a specific problem domain. One of the ...

The quality and safety of a biopharmaceutical is determined by how well its manufacture is controlled. The challenge is that the modeling methods used to develop control strategies sometimes struggle ...

Stochastic differential equations (SDEs) and random processes form a central framework for modelling systems influenced by inherent uncertainties. These mathematical constructs are used to rigorously ...

An elegant new equation identifies the surprisingly orderly, mathematical way in which things break, shatter, and fall apart.

Random walks constitute a foundational concept in probability theory, describing the seemingly erratic movement of particles or agents as they traverse a space in a series of stochastic steps. In many ...

Right now, I am using Probability and Random Processes for EE by Alberto Leon-Garcia. This has to be the most useless text book I have seen. The HW problems are nothing like the examples. Plus the ...

The original version of this story appeared in Quanta Magazine. In the movie Oppenheimer, Niels Bohr challenges the physicist early in his career: Bohr: Algebra is like sheet music. The important ...

Here’s a game Claude Shannon, the founder of information theory, invented in 1948. He was trying to model the English language as a random process. Go to your bookshelf, pick up a random book, open it ...

Have you ever come across a statement like this: “I can’t believe that something as beautiful and complex as the human eye could be the result of a random process like evolution”? Or this: “It seems ...