Probabilistic Circuits for Irregular Multivariate Time Series Forecasting
About
Joint probabilistic modeling is essential for forecasting irregular multivariate time series (IMTS) to accurately quantify uncertainty. Existing approaches often struggle to balance model expressivity with consistent marginalization, frequently leading to unreliable or contradictory forecasts. To address this, we propose CircuITS, a novel architecture for probabilistic IMTS forecasting based on probabilistic circuits. Our model is flexible in capturing intricate dependencies between time series channels while structurally guaranteeing valid joint distributions. Experiments on four real world datasets demonstrate that CircuITS achieves superior joint and marginal density estimation compared to state of the art baselines.
Christian Kl\"otergens, Vijaya Krishna Yalavarthi, Lars Schmidt-Thieme• 2026
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Forecasting | MIMIC-III (test) | MSE0.475 | 51 | |
| Irregular Multivariate Time Series Forecasting | USHCN | mNLL-3.717 | 17 | |
| Irregular Multivariate Time Series Forecasting | MIMIC-III | mNLL0.095 | 17 | |
| Time Series Forecasting | USHCN (test) | MSE0.306 | 17 | |
| Irregular Multivariate Time Series Forecasting | PhysioNet 12 | NJNLL-0.55 | 12 | |
| Joint density estimation | MIMIC-III | njNLL-0.574 | 12 | |
| Joint density estimation | PhysioNet | njNLL-0.55 | 12 | |
| Joint density estimation | USHCN | njNLL-3.789 | 12 | |
| Joint density estimation | MIMIC IV | njNLL-2.113 | 11 | |
| Long-horizon forecasting | Physionet (test) | MSE0.292 | 9 |
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