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Learning Variational Models with Unrolling and Bilevel Optimization. (arXiv:2209.12651v2 [stat.ML] UPDATED)
Sept. 28, 2022, 1:13 a.m. | Christoph Brauer, Niklas Breustedt, Timo de Wolff, Dirk A. Lorenz
cs.LG updates on arXiv.org arxiv.org
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 …
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