Papers › Nonparametric Filtering, Estimation and Classification using Neural Jump ODEs

Nonparametric Filtering, Estimation and Classification using Neural Jump ODEs

4 Dec 2024arXiv:2412.03271archive 2025-07-28

Jakob Heiss, Florian Krach, Thorsten Schmidt, Félix B. Tambe-Ndonfack

Neural Jump ODEs model the conditional expectation between observations by neural ODEs and jump at arrival of new observations. They have demonstrated effectiveness for fully data-driven online forecasting in settings with irregular and partial observations, operating under weak regularity assumptions. This work extends the framework to input-output systems, enabling direct applications in online filtering and classification. We establish theoretical convergence guarantees for this approach, providing a robust solution to L²-optimal filtering. Empirical experiments highlight the model's superior performance over classical parametric methods, particularly in scenarios with complex underlying distributions. These results emphasise the approach's potential in time-sensitive domains such as finance and health monitoring, where real-time accuracy is crucial.

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