SoftServe's updates build on quadratic matrix equations, extending the authors' Batch-and-Match BBVI work

dianarycai · x · 2026-10-02

The author adds context to the SoftServe paper: its updates are based on solutions to quadratic matrix equations, extending the team's earlier ICML 2024 work Batch-and-Match (BaM), which showed that score matching in a Gaussian family reduces to solving a quadratic matrix equation.

BaM is a black-box variational inference method using a score-based divergence, with a closed-form proximal update for Gaussian families, exponential convergence in the infinite-batch limit, and typically fewer gradient evaluations than ELBO-based BBVI. This post is supplementary context for the same SoftServe work.

Related event: SoftServe: Quasi-Newton Optimization Scales to Massive Neural Networks(3 posts)→

Original post →

More from Research

Research channel →