Carola‐Bibiane Schönlieb

Symplectic Neural Flows for Modeling and Discovery

Abstract. Hamilton’s equations are fundamental for modeling complex physical systems, where preserving key properties such as energy and momentum is crucial for reliable long-term simulations. Geometric integrators are widely used for this purpose, but neural network-based method...

SurvSurf: a partially monotonic neural network for first-hitting time prediction of intermittently observed discrete and continuous sequential events

Abstract We propose SurvSurf, a neural-network-based survival model for direct, simultaneous probabilistic prediction of first-hitting times of sequential events from baseline. Unlike existing models, SurvSurf is theoretically guaranteed to never violate the monotonic relationshi...