Bernoulli Process

The Bernoulli process, a fundamental stochastic process modeling sequences of independent binary events, is a cornerstone of probability theory with broad applications. Current research focuses on extending its use in diverse areas, including anomaly detection (via latent Bernoulli diffusion models), efficient estimation of its mean (with improved algorithms surpassing previous methods), and modeling complex systems like latent linear dynamical systems with Bernoulli observations. These advancements improve the accuracy and efficiency of Bernoulli-based models, impacting fields ranging from signal processing and machine learning to statistical inference and decision-making.