Research map / Learning theory and algorithms / Matrix and tensor methods
Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use RI-GAMP with spectral information instead of Gaussian-design GAMP | RI-GAMP · Linear regression and noiseless 1-bit compressed sensing with rotationally invariant design | normalized squared correlation | Helped |
| Use denoisers that depend on all preceding iterates rather than only the latest iterate (ablation) | RI-GAMP · Rotationally invariant design with Beta-distributed eigenvalues | normalized squared correlation | Helped |
| Replace full-history denoisers with latest-iterate denoisers (ablation) | RI-GAMP · Rotationally invariant design with Beta-distributed eigenvalues | normalized squared correlation | Hurt |
| Use RI-GAMP instead of VAMP | RI-GAMP · Linear regression and noiseless 1-bit compressed sensing | normalized squared correlation | Mixed |
| Use RI-GAMP instead of the subgradient method | RI-GAMP · Noiseless 1-bit compressed sensing on a sparse image | normalized squared correlation | Mixed |
| Use RI-GAMP instead of the subgradient method | RI-GAMP · Noiseless 1-bit compressed sensing on a wavelet-transformed RGB image | normalized squared correlation | Mixed |
| Run near the exact-recovery phase transition | RI-GAMP · Noiseless 1-bit compressed sensing | normalized squared correlation | Hurt |
| Increase the number of iterations until covariance matrices become ill-conditioned | RI-GAMP · Rotationally invariant GLMs | numerical stability | Hurt |
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