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math.OC2025
A Distributional View of High Dimensional Optimization
Felix Benning
This PhD thesis presents a distributional view of optimization in place of a worst-case perspective. We motivate this view with an investigation of the failure point of classical o…
math.OC2023
Random Function Descent
Felix Benning, Leif Döring
Classical worst-case optimization theory neither explains the success of optimization in machine learning, nor does it help with step size selection. In this paper we demonstrate t…
math.OC2021
High Dimensional Optimization through the Lens of Machine Learning
Felix Benning
This thesis reviews numerical optimization methods with machine learning problems in mind. Since machine learning models are highly parametrized, we focus on methods suited for hig…