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Observable Neural ODEs for Identifiable Causal Forecasting in Continuous Time
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Proposes Observable Neural ODEs (ObsNODEs), latent Neural ODEs in observable normal form, to enable a continuous-time conditional front-door adjustment for dynamic treatment effect forecasting under hidden confounding.
Problem
Identifying dynamic treatment effects and forecasting counterfactual outcomes in continuous-time latent state-space models with hidden confounders and time-dependent confounding.
Approach
Links control-theoretic observability to causal identifiability: if the latent state is observable from treatment-outcome history, a conditional front-door adjustment identifies potential outcomes. Enforces observability by construction via a triangular observable normal form in a Neural ODE, yielding a tractable state-space adjustment under temporally uncorrelated disturbances.
Key results
- On synthetic cancer data (gamma=4, t_c=5), ObsNODE reaches tumor-volume RMSE 0.06 at horizon 1 versus 0.16 for DoseAI, but DoseAI is best at longer horizons (e.g., 0.10 vs 0.21 at horizon 6).
- ObsNODE reduces mean absolute ATE error from 0.5289 to 0.1723 for tumor volume and from 2.0289 to 0.0933 for body weight relative to NODE on synthetic data.
- On semi-synthetic sepsis data, ObsNODE reduces mean absolute ATE error from 3.6537 to 1.4523 compared with NODE; on real MIMIC-IV data ObsNODE is competitive mainly at longer horizons, with IGC-Net better at very short horizons.
Surprising findings
- DoseAI outperforms ObsNODE at longer forecast horizons on synthetic cancer data, and IGC-Net is better at very short horizons on real laboratory variables.
- Forecast accuracy for creatinine and total bilirubin was better on the external AmsterdamUMCdb cohort than on MIMIC-IV, which the authors attribute to higher observation density.
Limitations
- Tractable adjustment assumes temporally independent hidden disturbances; serially correlated confounding needs the general path-space formula that is not implemented.
- State reconstruction from finite, noisy observations is approximate, and causal accuracy cannot be assessed on real clinical data without counterfactual ground truth.
- Experiments rely largely on simulated and semi-synthetic data, with ObsNODE not consistently best at longer horizons.
Experimental setup
Datasets: MIMIC-IV sepsis cohort AmsterdamUMCdb synthetic tumor-weight simulation semi-synthetic MIMIC-IV sepsis data
Benchmarks: synthetic cancer dataset semi-synthetic MIMIC-IV sepsis dataset MIMIC-IV sepsis test set AmsterdamUMCdb external validation
Metrics: RMSE counterfactual bias average treatment effect error
Baselines: NODE DoseAI IGC-Net SCIP-Net OptAB
Builds on: conditional front-door criterion CF-ODE ODE-RNN Treatment Effect Neural CDEs
Closest papers by meaning
- On the Identification of Temporal Causal Representation with Instantaneous Dependence (ICLR 2025 · similarity 0.87)
- ODE Discovery for Longitudinal Heterogeneous Treatment Effects Inference (ICLR 2024 · similarity 0.87)
- Learning Deployable Causal Action Geometry under Temporal Non-Stationarity (NeurIPS 2026 · similarity 0.87)
- A Sparsity Principle for Partially Observable Causal Representation Learning (ICML 2024 · similarity 0.87)
- Identifiable Latent Polynomial Causal Models through the Lens of Change (ICLR 2024 · similarity 0.87)
- Identifiability Analysis of Linear ODE Systems with Hidden Confounders (NeurIPS 2024 · similarity 0.87)
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