Learning Variational Models with Unrolling and Bilevel Optimization. (arXiv:2209.12651v2 [stat.ML] UPDATED)

In this paper we consider the problem learning of variational models in the
context of supervised learning via risk minimization. Our goal is to provide a
deeper understanding of the two approaches of learning of variational models
via bilevel optimization and via algorithm unrolling. The former considers the
variational model as a lower level optimization problem below the risk
minimization problem, while the latter replaces the lower level optimization
problem by an algorithm that solves said problem approximately. Both approaches …

arxiv optimization