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On Disentangled Representations Learned from Correlated Data

ICML 2021 · Label-efficient and robust learning › Recognition and long-tail · approach: Contrastive representation theory · 47 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase the strength of training-data correlationsUnsupervised VAE disentanglement methods · Shapes3D (A), object size–azimuthpairwise entanglement score: 0.08 -> 0.38Hurt
Increase the strength of training-data correlationsUnsupervised VAE disentanglement methods · dSprites (B), orientation–position xpairwise entanglement score: 0.11 -> 0.17Hurt
Increase the strength of training-data correlationsUnsupervised VAE disentanglement methods · MPI3D (C), first DOF–second DOFpairwise entanglement score: 0.16 -> 0.2Hurt
Add post-hoc linear alignment using 100 labels for the correlated factorsUnsupervised VAE representations · Shapes3D (A), object size–azimuth, σ=0.2pairwise entanglement score: 0.38 -> 0.17Helped
Add post-hoc linear alignment using 100 labels for the correlated factorsUnsupervised VAE representations · Shapes3D (A), object size–azimuth, σ=0.4pairwise entanglement score: 0.26 -> 0.1Helped
Use weak supervision from pairs differing in one known-count factorβ-VAE · Shapes3D (A), correlated object size–azimuthDCI scoreHelped
Use weak supervision from pairs differing in one known-count factorβ-VAE · Shapes3D (A), correlated object size–azimuthunfairness scoreHelped
Use a nonlinear MLP substitution function instead of linear regressionFast adaptation · Correlated factors without a unique natural ordering or isolated latent dimensionspairwise entanglementHelped
Train unsupervised on correlated observational data rather than uncorrelated dataFactorization-based VAE methods · Correlated factors of variationpairwise latent entanglementHurt
Use common global disentanglement metrics to assess correlation-induced entanglementUnsupervised disentanglement evaluation · Correlated datasetssensitivity to correlation strengthNo clear effect
Evaluate reconstructions on factor combinations outside the correlated training distributionUnsupervised VAE representations · Shapes3D (A), OOD object size–azimuth combinationsOOD reconstructionHelped

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