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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

TaskDatasetResultRank
ForecastingMIMIC-III (test)
MSE0.475
51
Irregular Multivariate Time Series ForecastingUSHCN
mNLL-3.717
17
Irregular Multivariate Time Series ForecastingMIMIC-III
mNLL0.095
17
Time Series ForecastingUSHCN (test)
MSE0.306
17
Irregular Multivariate Time Series ForecastingPhysioNet 12
NJNLL-0.55
12
Joint density estimationMIMIC-III
njNLL-0.574
12
Joint density estimationPhysioNet
njNLL-0.55
12
Joint density estimationUSHCN
njNLL-3.789
12
Joint density estimationMIMIC IV
njNLL-2.113
11
Long-horizon forecastingPhysionet (test)
MSE0.292
9
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