In this lesson, you'll look at a way to represent discrete distributions - the probability mass function (PMF), which maps from each value to its probability. A probability mass function (PMF), ...

Probability is a measure of how likely an event is to occur within a specific range of possible outcomes. While it is often associated with gambling, probability theory plays a vital role in various ...

In the domain of reasoning under uncertainty, probabilistic graphical models (PGMs) have long been a prominent tool for data analysis. These models provide a structured framework for representing ...

1 Department of Endocrinology, Beijing Tongren Hospital, Capital Medical University, Beijing, China 2 Beijing Tongren Hospital, Capital Medical University, Beijing, China Background: Previous findings ...

Imagine a scenario where a team of doctors faces a perplexing medical puzzle. A patient shows a range of symptoms, each pointing to multiple possible diseases. How can they navigate this diagnostic ...

Abstract: In this paper a Hilbert space structure of probability mass functions (PMF) will be presented. The tools provided by the Hilbert space, specifically the norm and the inner product, may be ...