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Normally, the Mathematics of Machine Learning lecture deals with the mathematical foundations of modern AI methods. On 26.11.24, however, there was a deeper insight into the practice at Zeiss SMT: Simon Hagmeyer and Manuel Söll reported on the challenges that Zeiss SMT has to overcome in order to manufacture and maintain highly complex optical systems for the production of the world's highest-performance microchips. The focus was on modelling the service life of the necessary lens systems and predicting how high the demand for repair and replacement will be so that appropriate capacities can be maintained. This is where the work of the data scientists at Zeiss comes in: Modern machine learning methods coupled with a good inspection of the Physics of lens systems allowed a good prediction. Many thanks to Mr Hagmeyer and Mr Söll for the wonderful and insightful presentation!