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Sequential Disentanglement by Extracting Static Information From A Single Sequence Element
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Proposes DBSE, a sequential disentanglement VAE whose static posterior is conditioned on a single sequence element and whose dynamic encoder subtracts that static code from sequence features, reducing information leakage without mutual-information losses.
Problem
Unsupervised sequential disentanglement suffers from information leakage, where static information leaks into dynamic codes or vice versa, when static and dynamic codes are conditioned on the entire sequence.
Approach
Condition the static posterior on a single sequence element (x_1) rather than the whole sequence, and subtract the resulting static features from the encoded sequence before the LSTM dynamic encoder, giving a subtraction inductive bias with no mutual-information loss terms.
Key results
- On MUG, achieves 86.90% generation accuracy, IS 5.598, and improves the static-vs-dynamic leakage gap to 78.57% (static-sampling) and 84.01% (dynamic-sampling) over the prior best.
- On PhysioNet, reaches AUPRC 0.473 and AUROC 0.858, outperforming SPYL (0.367/0.764) and the raw-feature baseline RF (0.446/0.802).
- On TIMIT, reports a disentanglement gap of 31.11%, about 1.3 points above SPYL (29.81%).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use the single-anchor static posterior and subtract static features from dynamic features | Ours · MUG | Leakage gap, static features (generation): 71.8% -> 78.57% | Helped |
| use the single-anchor static posterior and subtract static features from dynamic features | Ours · MUG | Acc: 85.71% -> 86.90% | Helped |
| use disentangled features rather than raw features | downstream PhysioNet mortality prediction · PhysioNet | AUROC: 0.802 ± 0.04 -> 0.858 ± 0.01 | Helped |
| use disentangled features rather than raw features | downstream ETTh1 prediction · ETTh1 | MAE: 10.19 ± 0.20 -> 11.21 ± 0.01 | Hurt |
| remove static loss (ablation) | Ours · PhysioNet | AUPRC: 0.274 ± 0.02 -> 0.473 ± 0.02 | Hurt |
| remove subtraction (ablation) | Ours · PhysioNet | AUPRC: 0.411 ± 0.02 -> 0.473 ± 0.02 | Hurt |
| remove static loss and subtraction (ablation) | Ours · PhysioNet | AUPRC: 0.255 ± 0.02 -> 0.473 ± 0.02 | Hurt |
| remove static loss (ablation) | Ours · MUG | Dynamic accuracy (generation): 66.28% -> 86.90% | Hurt |
| remove subtraction (ablation) | Ours · MUG | Dynamic accuracy (generation): 83.31% -> 86.90% | Hurt |
| remove static loss or subtraction (ablation) | Ours · PhysioNet | Accuracy: 40.81 % ± 0.328 -> 56.87 % ± 0.34 | Hurt |
| randomly choose the anchor separately for each batch (ablation) | Ours · PhysioNet | AUPRC: 0.276 ± 0.013 -> 0.473 ± 0.021 | Hurt |
| choose a random anchor rather than the first element (ablation) | Ours · PhysioNet | AUPRC: 0.425 ± 0.006; 0.473 ± 0.021 | No clear effect |
Surprising findings
- Randomly sampling the anchor element per batch (instead of a fixed element) induces information leakage into the static code.
- Ablation removing both the static loss and subtraction degrades MUG accuracy substantially (to 10.94% static-gap-related metrics), showing both components matter.
Limitations
- Depends on the VAE backbone, which often yields low-quality reconstructions and samples.
- Assumes every sequence element contains the static factor; fails when some elements lack static information.
- Static information is extracted from a single chosen element, which may limit use on sequences where that element is uninformative.
Experimental setup
Datasets: Sprites MUG PhysioNet Air Quality ETTh1 TIMIT Jesters
Benchmarks: Sprites MUG PhysioNet ETTh1 Air Quality TIMIT Jesters
Metrics: Accuracy Inception score intra-entropy H(y|x) inter-entropy H(y) leakage gap AUPRC AUROC MAE EER classification accuracy
Baselines: MoCoGAN DSVAE R-WAE S3VAE SKD C-DSVAE SPYL FHVAE GP-VAE GLR
Builds on: DSVAE C-DSVAE FHVAE SPYL
Closest papers by meaning
- Sample and Predict Your Latent: Modality-free Sequential Disentanglement via Contrastive Estimation (ICML 2023 · similarity 0.90)
- Disentanglement Beyond Static vs. Dynamic: A Benchmark and Evaluation Framework for Multi-Factor Sequential Representations (NeurIPS 2025 · similarity 0.90)
- Disentanglement via Latent Quantization (NeurIPS 2023 · similarity 0.89)
- Multifactor Sequential Disentanglement via Structured Koopman Autoencoders (ICLR 2023 · similarity 0.89)
- $\alpha$TC-VAE: On the relationship between Disentanglement and Diversity (ICLR 2024 · similarity 0.87)
- Graph-based Unsupervised Disentangled Representation Learning via Multimodal Large Language Models (NeurIPS 2024 · similarity 0.87)
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