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Structured Learning of Compositional Sequential Interventions
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Proposes a compositional sequential intervention model (factorization of recursive intervention effects with exponential-decay warping) with identification results and a VAE-based learner (CSI-VAE) that predicts outcomes for unseen intervention sequences, outperforming black-box sequence models on synthetic and Spotify-based semi-synthetic data.
Problem
Predicting future behavior under sequences of categorical, sparse interventions, especially novel combinations never observed together, where black-box sequence models generalize poorly.
Approach
Model the effect of sequential interventions as a multilinear factorization in which unit-level latent coefficients are warped multiplicatively by per-intervention temporal effect functions (time-bounded or exponential-decay), with identification conditions derived for this structure and learned via amortized variational inference (GRU encoders).
Key results
- On the fully-synthetic simulator, CSI-VAE-1 achieves RMSE about 36.5 at T+1 and about 41 at T+2 to T+5, versus 93.7 or lower for best black-box GRU-2 and 88 to 230 for other black-box baselines.
- On the semi-synthetic Spotify simulator, CSI-VAE-1 achieves about 68.2 at T+1 and 79.6 at T+5, while the best black-box baseline (GRU-0) gets about 215 at T+1 and 117 at T+5.
- Ablations that drop the product (compositional) form (CSI-VAE-2) or replace the intervention-effect equation with a black-box (CSI-VAE-3) degrade performance substantially.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the compositional CSI-VAE-1 structure instead of GRU-2 | Sequential intervention prediction · Fully synthetic, T+1 to T+5 | RMSE: 36.53 vs 93.73 (T+1); 41.32 vs 132.28 (T+5) | Helped |
| Use the compositional CSI-VAE-1 structure instead of GRU-2 | Sequential intervention prediction · Semi-synthetic Spotify, T+1 to T+5 | RMSE: 68.23 vs 154.18 (T+1); 79.63 vs 127.58 (T+5) | Helped |
| Add the product-form composition rather than relax it to a black-box MLP (ablation) | CSI-VAE · Fully synthetic, T+1 to T+5 | RMSE: 36.53 vs 97.80 (T+1); 41.32 vs 135.03 (T+5) | Helped |
| Add the product-form composition rather than relax it to a black-box MLP (ablation) | CSI-VAE · Semi-synthetic Spotify, T+1 to T+5 | RMSE: 68.23 vs 253.85 (T+1); 79.63 vs 302.83 (T+5) | Helped |
| Use the structured intervention-effect equation instead of a black-box sequence function (ablation) | CSI-VAE · Fully synthetic, T+1 to T+5 | RMSE: 36.53 vs 138.78 (T+1); 41.32 vs 125.55 (T+5) | Mixed |
| Use the structured intervention-effect equation instead of a black-box sequence function (ablation) | CSI-VAE · Semi-synthetic Spotify, T+1 to T+5 | RMSE: 68.23 vs 757.94 (T+1); 79.63 vs 634.72 (T+5) | Helped |
Surprising findings
- Black-box models with full intervention history (GRU-2, Transformer) do not reliably beat simpler black-box variants, and in several cases GRU-0 (no interventions) matches or beats intervention-aware baselines on the semi-synthetic data.
Limitations
- Assumes no unmeasured confounding among past actions and states; sequential ignorability is assumed.
- Identification requires a burn-in period and sufficient units per intervention level, with no free identification.
- Evaluation uses only simulators, not real-world intervention data.
Experimental setup
Datasets: Spotify user skip interaction data (semi-synthetic simulator) fully-synthetic simulator
Benchmarks: fully-synthetic simulator semi-synthetic Spotify simulator
Metrics: root mean squared error mean squared error two-sample t-test p-values
Baselines: GRU-0 GRU-1 GRU-2 LSTM Transformer CSI-VAE-2 CSI-VAE-3
Builds on: causal matrix factorization variational autoencoder conformal prediction blip models
Closest papers by meaning
- Deriving Causal Order from Single-Variable Interventions: Guarantees & Algorithm (ICLR 2025 · similarity 0.85)
- Learning Mixtures of Unknown Causal Interventions (NeurIPS 2024 · similarity 0.84)
- Learning Joint Interventional Effects from Single-Variable Interventions in Additive Models (ICML 2025 · similarity 0.84)
- Local Causal Structure Learning in the Presence of Latent Variables (ICML 2024 · similarity 0.84)
- Identifying General Mechanism Shifts in Linear Causal Representations (NeurIPS 2024 · similarity 0.84)
- When does compositional structure yield compositional generalization? A kernel theory. (ICLR 2025 · similarity 0.84)
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