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The Sparse Manifold Transform

NeurIPS 2018 · Probabilistic and scientific modeling › Molecules and proteins · approach: Sparse graphical and tensor models · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the SMT embedding to project sparse codes from natural videoSparse codes of natural video frames · Natural videotrajectory smoothnessHelped
Reconstruct frames from the SMT embedding using the inverse embeddingSparse Manifold Transform · Natural videoreconstruction qualityHelped
Add embedding regularization to sparse coefficient inference (ablation)Sparse Manifold Transform · Video sequencestrajectory linearityHelped
Use 21 functional embedding dimensions instead of the classical 2-dimensional embedding (ablation)Functional embedding · Synthetic 4-sparse function on the unit discsparse-function recoveryHelped
Use ZCA whitening instead of the described Fourier-domain whitening (ablation)Sparse Manifold Transform · Natural videosrepresentation qualityNo clear effect

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