Dr. Steffen Borgwardt
Department of Mathematical and Statistical Sciences
University of Colorado Denver
With geometric modeling techniques, the feasible solutions of problems in operations research can be represented as objects in high-dimensional space. The properties of these objects reveal information about the underlying problems and lead to algorithms.
We model an application in land exchange as a clustering problem where the clusters have prescribed sizes. In this approach, we connect least-squares assignments, cell complexes, and the studies of polyhedra. We also report on the large-scale practical implementation of the results. The devised methods lead to various tools for more general questions on big data.
Steffen Borgwardt is an associate professor in the Department of Mathematical and Statistical Sciences at the University of Colorado Denver. His work lies on the intersection of combinatorial optimization, polyhedral theory, network theory, and linear programming. He received his PhD in 2010, completed a habilitation on "Data Analysis through Polyhedral Theory" at TU Munich in 2015, and joined the University of Colorado in 2016. He is a lifetime Humboldt Fellow and jointly received the EURO Excellence in Practice Award 2013 for some of the presented work on optimization in land consolidation.
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