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Hiding Data Helps: On the Benefits of Masking for Sparse Coding

ICML 2023 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse regression with guarantees · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adding masking (decode on subset of dimensions, compute reconstruction loss on complement) instead of standard reconstruction objectivesparse coding with over-realized dictionary · synthetic Gaussian sparse coding, scaling p' (d=100, p=200, k=5)dictionary recovery error d_R(A,B)Helped
Increasing over-realization p' from p to n under standard objectivebaseline reconstruction objective · synthetic, d=100, p=200, k=5, noise var 1/ddictionary recovery error d_R(A,B)Hurt
Setting p'=2p (modest over-realization) versus p'=p with sample initializationmasking objective · synthetic, d=100, p=200, k=5dictionary recovery error d_R(A,B)Helped
Scaling all parameters (d in 100-250, p=2d, k=d/20, p'=2p) with masking vs baselinemasking objective vs baseline · synthetic scaled d, p, kdictionary recovery error d_R(A,B)Helped
Lowering noise variance from 1/d to 1/d^2 (p'=1000) (ablation)baseline vs masking · synthetic, low-noise regimedictionary recovery error d_R(A,B)No clear effect
Masking objective in low-noise regime vs standard reconstruction (ablation)sparse coding · synthetic, noise std 0.01 to 0.1dictionary recovery error d_R(A,B)No clear effect

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