A set of independence statements may define the independence structure of interest in a family of joint probability distributions. This structure is often captured by a graph that consists of nodes ...

a priori Probability: the probability that we determine from knowing the process by which the uncertain event happens (by logically examining existing information). Certain Event: event that is sure ...

In a celebrated paper, Dyson shows that the spectrum of an n × n random Hermitian matrix, diffusing according to an Ornstein-Uhlenbeck process, evolves as n noncolliding Brownian motions held together ...

This project involved implementing key components of the t-distributed Stochastic Neighbor Embedding (t-SNE) algorithm to explore non-linear dimensionality reduction. The data consisted of two ...