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math.OC2025
An analysis of optimization problems involving ReLU neural networks
Christoph Plate, Mirko Hahn, Alexander Klimek +3
Solving mixed-integer optimization problems with embedded neural networks with ReLU activation functions is challenging. Big-M coefficients that arise in relaxing binary decisions…
math.OC2024
Optimal Experimental Design for Universal Differential Equations
Christoph Plate, Carl Julius Martensen, Sebastian Sager
Complex dynamic systems are typically either modeled using expert knowledge in the form of differential equations or via data-driven universal approximation models such as artifici…
math.OC2024
Refined TSSOS
Daria Shaydurova, Volker Kaibel, Sebastian Sager
The moment-sum of squares hierarchy by Lasserre has become an established technique for solving polynomial optimization problems. It provides a monotonically increasing series of t…