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Summary of Eigenvi: Score-based Variational Inference with Orthogonal Function Expansions, by Diana Cai et al.


EigenVI: score-based variational inference with orthogonal function expansions

by Diana Cai, Chirag Modi, Charles C. Margossian, Robert M. Gower, David M. Blei, Lawrence K. Saul

First submitted to arxiv on: 31 Oct 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); Computation (stat.CO)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper introduces EigenVI, an eigenvalue-based approach for black-box variational inference (BBVI). The method constructs variational approximations using orthogonal function expansions, which provide a flexible and simple way to model complex distributions. By minimizing the Fisher divergence, EigenVI effectively sidesteps iterative gradient-based optimizations, making it more accurate and robust than existing methods for Gaussian BBVI.
Low GrooveSquid.com (original content) Low Difficulty Summary
EigenVI is a new way to do something called black-box variational inference. It uses special functions to make predictions about what things might look like if they’re not exactly the same as we’ve seen before. This helps us understand things that are hard to know just by looking at them. EigenVI works well on lots of different types of problems, and it’s better than some other methods at guessing what things might be.

Keywords

* Artificial intelligence  * Inference