Papers › Learning Low-Dimensional Embeddings for Black-Box Optimization

Learning Low-Dimensional Embeddings for Black-Box Optimization

2 May 2025arXiv:2505.01112archive 2025-07-28

Riccardo Busetto, Manas Mejari, Marco Forgione, Alberto Bemporad, Dario Piga

When gradient-based methods are impractical, black-box optimization (BBO) provides a valuable alternative. However, BBO often struggles with high-dimensional problems and limited trial budgets. In this work, we propose a novel approach based on meta-learning to pre-compute a reduced-dimensional manifold where optimal points lie for a specific class of optimization problems. When optimizing a new problem instance sampled from the class, black-box optimization is carried out in the reduced-dimensional space, effectively reducing the effort required for finding near-optimal solutions.

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