Asian Modelica and FMI Conference 2026

Learning the Missing Physics Locally with Modelica and Wolfram Language
2026-09-22 –, Modelica Technology & AI (R1001)

This paper introduces State-Invariant Hybrid Models (SIHM), a subset of hybrid physics-machine-learning models in which the state vector remains defined by the first-principles Modelica model, while learned components contribute missing physics locally. We qualitatively contrast global residual learning at system level with local residual learning at component level, arguing that local learning better matches the acausal modeling paradigm of Modelica. A tool-agnostic workflow is proposed in which a replaceable dummy component marks the suspected location of missing physics, while compiler-derived structural information identifies the connected states and variables. The workflow is then illustrated in the Wolfram ecosystem on two models to demonstrate the approach's modularity. The results indicate that local SIHM components recover targeted missing effects while preserving the state selection of the original model.

See also: Paper in PDF (1.2 MB)

Clément is leading the Technology Cluster for Digital Mechatronics at Siemens Healthineers. He is responsible for building up a team of experts in digitalization - where the scope ranges from modeling and simulation, Scientific Machine Learning, to Artificial Intelligence -, and triggering and leading technological projects to enhance the development of Siemens Healthineers mechatronic products and their digital capabilities. This role leverages the past experiences of Clément as a Team Lead and Model-based Development expert at Modelon and at other industry leaders such as Airbus Helicopters and Dassault Systèmes. Clément holds two MSc - in France and Spain - in System Engineering and Mechanical Engineering, and a PhD on model-based hydraulic actuation system design for helicopters.
Clément started leveraging Modelica in 2008 and has not stopped since then. He joined in May 2026 the Boad of the Modelica association, with the specific duty to advance and shape the future of the technology.
Clément is a happy husband and father of two amazing boys - who are making his life even more exciting than his work.

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