Bob Williamson is Professor for “Foundations of Machine Learning Systems“ at the University of Tübingen. This talk was part of the colloquium of the Cluster of Excellence “Machine Learning: New Perspectives for Science“. Abstract: Machine Learning (ML) technology provides value by its integration into a system, either technological or socio-technical. This requires an external outward-looking view of ML, rather than the usual internal inward-looking view of much ML research. I will illustrate the external view by considering some foundational concerns regarding ML which motivates the research I propose to conduct in Tübingen. The starting point turns out to be a more careful analysis of expectation or averages. Somewhat astonishingly, there is a lot to be said, and a lot to be yet discovered, about this apparently elementary building block of ML systems, and about its natural generalisations. I will argue why one should consider moving beyond expectations, and explore some of the intriguing technical probl
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