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Research map / Learning theory and algorithms / Matrix and tensor methods

Sparse Bayesian Learning via Stepwise Regression

ICML 2021 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse regression with guarantees · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RMP₀ instead of Forward Regression aloneForward Regression · Uncorrelated features, sparsity 12–24recovery probability: 0.54, 0.14, 0.01, 0.00 -> 0.99, 0.80, 0.31, 0.04Helped
Use RMPσ instead of Forward Regression aloneForward Regression · Correlated features, sparsity 2–5recovery probability: 0.04, 0.01, 0.00, 0.00 -> 0.81, 0.58, 0.45, 0.30Helped
Use BP ARD instead of RMPσRMPσ · Uncorrelated features, sparsity 12–24recovery probability: 0.99 -> 1.00; 0.81 -> 1.00; 0.31 -> 0.97; 0.04 -> 0.70Mixed
Use BP ARD instead of RMPσRMPσ · Correlated features, sparsity 2–5recovery probability: 0.81 -> 0.96; 0.58 -> 0.91; 0.45 -> 0.83; 0.30 -> 0.70Helped
Use RMPσ instead of FSBLFSBL · Correlated features, sparsity 2–5recovery probability: 0.76, 0.54, 0.38, 0.26 -> 0.81, 0.58, 0.45, 0.30Helped
Run RMP₀ until the support stabilizes (RMP₀+ rather than one outer-loop iteration) (ablation)RMP₀ · Correlated features, sparsity 2–5recovery probability: 0.72, 0.45, 0.28, 0.14 -> 0.72, 0.48, 0.32, 0.17Mixed
Use RMP₀ rather than RMPσRMPσ · Uncorrelated features, sparsity 12–24recovery probability: 0.99 vs 0.99; 0.80 vs 0.81; 0.31 vs 0.31; 0.04 vs 0.04No clear effect
Use RMP₀ rather than RMPσRMPσ · Correlated features, sparsity 2–5recovery probability: 0.72 vs 0.81; 0.45 vs 0.58; 0.28 vs 0.45; 0.14 vs 0.30Mixed

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