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arxiv: 2406.14246 · v1 · pith:IOGO5AMD · submitted 2024-06-20 · q-bio.QM · cs.LG· math.DS· stat.ML

Non-Negative Universal Differential Equations With Applications in Systems Biology

Maren Philipps , Antonia K\"orner , Jakob Vanhoefer , Dilan Pathirana , Jan Hasenauer This is my paper

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classification q-bio.QM cs.LGmath.DSstat.ML
keywords non-negativedifferentialequationsmodelsudesuniversalvaluesadvantages
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Universal differential equations (UDEs) leverage the respective advantages of mechanistic models and artificial neural networks and combine them into one dynamic model. However, these hybrid models can suffer from unrealistic solutions, such as negative values for biochemical quantities. We present non-negative UDE (nUDEs), a constrained UDE variant that guarantees non-negative values. Furthermore, we explore regularisation techniques to improve generalisation and interpretability of UDEs.

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