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Benchmarks, Algorithms, and Metrics for Hierarchical Disentanglement

ICML 2021 · Probabilistic and scientific modeling › Molecules and proteins · approach: Equivariant and disentangled latent representations · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use COFHAE with a learned hierarchy and assignments rather than flat baseline representationsRepresentation learning on the nine synthetic benchmarks · Spaceshapes and Chopsticks variantsR^4_cHelped
Add the ground-truth hierarchy to a flat autoencoder (ablation)COFHAE ablation · Chopsticks depth-2 bothR^4_cHelped
Add ground-truth assignment supervision to a model with the hierarchy (ablation)COFHAE ablation · Chopsticks depth-2 bothR^4_cHelped
Add a marginal total-correlation penalty (ablation)COFHAE with hierarchy and assignment supervision · Chopsticks depth-2 bothR^4_cNo clear effect
Use conditional rather than marginal total-correlation regularization (ablation)COFHAE with hierarchy and assignment supervision · Chopsticks depth-2 bothR^4_cHelped
Remove assignment supervision while retaining the hierarchy and conditional TC penalty (ablation)COFHAE · Chopsticks depth-2 bothR^4_cHurt
Use a smooth Softplus activation instead of ReLU in MIMOSA's initial autoencoder (ablation)MIMOSA · Chopstickshierarchy recoveryHelped
Use contagion dynamics when building manifold components (ablation)MIMOSA · Chopsticks variantspurityHelped
Use RANSAC-style robust local SVD fitting (ablation)MIMOSA · Chopsticks variantspurityHelped
Increase disentanglement penalty strength in flat baselines (ablation)TCVAE, FactorVAE, CascadeVAE, and JointVAE · Synthetic hierarchical benchmarksR^4_cHurt
Sample slope/intercept variables from Gaussian rather than uniform distributions (ablation)COFHAE · ChopsticksR^4_cHurt
Add noise to the benchmark data (ablation)MIMOSA · Synthetic benchmarkshierarchy recoveryHurt

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