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Learned Extragradient ISTA with Interpretable Residual Structures for Sparse Coding

AAAI 2021 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse regression with guarantees · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use ELISTA rather than LFISTANatural image inpainting · Barbara, Boat, House, Lena, Peppers, C.man, Couple, Finger, Man, MontagePSNR: Barbara: 26.01 -> 26.60; Boat: 29.68 -> 30.33; House: 32.06 -> 32.76; Lena: 32.12 -> 32.75; Peppers: 28.57 -> 29.61; C.mHelped
Use ELISTA rather than LFISTANatural image inpainting · HillPSNR: 30.69 -> 30.41Hurt
Use ELISTA rather than GLISTAPhotometric stereo · q=35mean angular error: 0.06249 -> 0.02754Helped
Use ELISTA rather than GLISTAPhotometric stereo · q=25mean angular error: 0.10033 -> 0.04947Helped
Use ELISTA rather than GLISTAPhotometric stereo · q=15mean angular error: 0.63967 -> 0.60010Helped
Add the extragradient residual structure (ablation)LISTA-m · Sparse representation, noiseless test setNMSE (dB): −63.73 -> −107.48Helped
Add the extragradient residual structure (ablation)LISTA-m · Sparse representation, noiseless test setSPERR: 57.22 -> 0.01Helped
Use MT instead of soft thresholding (ablation)ELISTA-m · Sparse representation, noiseless test setNMSE (dB): −63.73 -> −107.48Helped
Use MT instead of soft thresholding (ablation)ELISTA-m · Sparse representation, noiseless test setSPERR: 57.22 -> 0.01Helped
Tie the algorithm parameters (ablation)ELISTA-t · Sparse representation, noiseless test setNMSE (dB): −77.03 -> −107.48Helped
Tie the algorithm parameters (ablation)ELISTA-t · Sparse representation, noiseless test setSPERR: 0.15 -> 0.01Helped

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