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Research map / Optimization / Nonconvex and smooth optimization

A Nonconvex Approach for Exact and Efficient Multichannel Sparse Blind Deconvolution

NeurIPS 2019 · Optimization › Nonconvex and smooth optimization · approach: Complexity of nonconvex first-order methods · 24 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Huber loss instead of the ℓ4 lossTwo-stage MCS-BD optimization · Synthetic MCS-BD, varying sparsityrecovery probabilityHelped
Use Huber loss instead of the ℓ4 lossTwo-stage MCS-BD optimization · Synthetic MCS-BD, phase transition on (p,n)recovery probabilityHelped
Use Huber loss instead of the ℓ4 lossTwo-stage MCS-BD optimization · Tubulin Conj-AL647 STORM imagingPSF recoveryHelped
Use ℓ1 loss instead of the ℓ4 lossMCS-BD optimization · Synthetic MCS-BDrecovery probabilityHelped
Use ℓ1 loss instead of Huber lossMCS-BD optimization · Synthetic MCS-BDrecovery accuracyHelped
Add LP rounding after Huber-loss RGD (ablation)Huber-loss MCS-BD · Synthetic MCS-BDrecovery exactnessHelped
Add LP rounding after ℓ4-loss RGD (ablation)ℓ4-loss MCS-BD · Synthetic MCS-BDrecovery exactnessHelped
Remove LP rounding and use Riemannian subgradient descent on ℓ1 loss (ablation)ℓ1-loss MCS-BD · Synthetic MCS-BDrecovery exactnessNo clear effect

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