Affine Tracing: A New Paradigm for Probabilistic Linear Solvers
Researchers have introduced "affine tracing," a novel framework designed to automate the creation of probabilistic linear solvers (PLSs). This new method bridges the gap between traditional Bayesian PLSs and probabilistic iterative methods (PIMs), demonstrating that Bayesian approaches are a specific instance of affine PIMs. The affine tracing framework simplifies the implementation of these solvers by automatically constructing computational graphs from standard iterative methods, enabling more efficient uncertainty quantification in linear system solutions. AI
IMPACT Automates the construction of probabilistic solvers, potentially simplifying uncertainty quantification in machine learning and scientific computing.