Model Space Priors in Bayesian Variable Selection for Streaming Logistic Regression
Analysis
This paper investigates the impact of different model space priors on Bayesian variable selection (BVS) within the context of streaming logistic regression. It's important because the choice of prior significantly affects sparsity and multiplicity control, crucial aspects of BVS. The paper compares established priors with a novel one (MD prior) and provides practical insights into their performance in a streaming data environment, which is relevant for real-time applications.
Key Takeaways
- •The choice of model space prior significantly impacts Bayesian variable selection.
- •The paper compares Beta-Binomial priors and the Matryoshka Doll (MD) prior.
- •The MD prior provides a useful alternative, offering a balance between sparsity control.
- •The study focuses on streaming data settings, relevant for real-time applications.
- •No single prior is universally optimal; performance varies by scenario.
“The paper finds that no single model space prior consistently outperforms others across all scenarios, and the MD prior offers a valuable alternative, positioned between commonly used Beta-Binomial priors.”