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Low-Rank Tucker Decomposition of Large Tensors Using TensorSketch

NeurIPS 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Randomized tensor decomposition algorithms · 69 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
define TensorSketch operators upfront instead of redefining before each use (ablation)TUCKER-TS · Synthetic sparse 500x500x500 tensor, true rank 15, target rank 10error relative to TUCKER-ALSHelped
define TensorSketch operators upfront instead of redefining before each use (ablation)TUCKER-TTMTS · Synthetic sparse 500x500x500 tensor, true rank 15, target rank 10error relative to TUCKER-ALSHelped
use TUCKER-TTMTS instead of TUCKER-TSTucker sketching · Sparse synthetic tensors, Rtrue = Rrelative errorHurt
use TUCKER-TTMTS instead of TUCKER-TS when true rank exceeds target rankTucker sketching · Sparse synthetic tensors, Rtrue > Rrelative errorNo clear effect
increase sketch dimension constant K (ablation)TUCKER-TS and TUCKER-TTMTS · Sparse synthetic 500x500x500error relative to TUCKER-ALSHelped
use 3 clusters instead of 2 for k-means on time factor (ablation)TUCKER-TTMTS on 38 GB video · Video frame disturbance classificationclassification qualityHelped

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