Matthias J. Ehrhardt

Analyzing Inexact Hypergradients for Bilevel Learning

  • Matthias J. Ehrhardt
  • Lindon Roberts
    • Categories Nonlinear Optimization, Optimization in Data Science Tags , ,

    Estimating hyperparameters has been a long-standing problem in machine learning. We consider the case where the task at hand is modeled as the solution to an optimization problem. Here the exact gradient with respect to the hyperparameters cannot be feasibly computed and approximate strategies are required. We introduce a unified framework for computing hypergradients that … Read more

    Inexact Derivative-Free Optimization for Bilevel Learning

  • Matthias J. Ehrhardt
  • Lindon Roberts
    • Categories Nonlinear Optimization Tags , , ,

    Variational regularization techniques are dominant in the field of mathematical imaging. A drawback of these techniques is that they are dependent on a number of parameters which have to be set by the user. A by now common strategy to resolve this issue is to learn these parameters from data. While mathematically appealing this strategy … Read more