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Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing

ICML 2022 · Learning theory and algorithms › Matrix and tensor methods · approach: High-dimensional estimation theory · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RI-GAMP with spectral information instead of Gaussian-design GAMPRI-GAMP · Linear regression and noiseless 1-bit compressed sensing with rotationally invariant designnormalized squared correlationHelped
Use denoisers that depend on all preceding iterates rather than only the latest iterate (ablation)RI-GAMP · Rotationally invariant design with Beta-distributed eigenvaluesnormalized squared correlationHelped
Replace full-history denoisers with latest-iterate denoisers (ablation)RI-GAMP · Rotationally invariant design with Beta-distributed eigenvaluesnormalized squared correlationHurt
Use RI-GAMP instead of VAMPRI-GAMP · Linear regression and noiseless 1-bit compressed sensingnormalized squared correlationMixed
Use RI-GAMP instead of the subgradient methodRI-GAMP · Noiseless 1-bit compressed sensing on a sparse imagenormalized squared correlationMixed
Use RI-GAMP instead of the subgradient methodRI-GAMP · Noiseless 1-bit compressed sensing on a wavelet-transformed RGB imagenormalized squared correlationMixed
Run near the exact-recovery phase transitionRI-GAMP · Noiseless 1-bit compressed sensingnormalized squared correlationHurt
Increase the number of iterations until covariance matrices become ill-conditionedRI-GAMP · Rotationally invariant GLMsnumerical stabilityHurt

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