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New algorithms tackle nonconvex multi-objective bilevel optimization

Researchers have developed new Hessian-free algorithms, MOMEHA and MB-MOMEHA, to address multi-objective bilevel optimization problems, particularly those with nonconvex lower levels. These methods utilize the Moreau envelope to transform the problem into a single-level optimization with an envelope constraint. The algorithms maintain computational efficiency by being single-loop and Hessian-free, incorporating a smooth weighted Tchebycheff scalarization. Experiments on few-shot meta-learning and neural architecture search indicate that these new approaches outperform existing methods in terms of Pareto front quality. AI

IMPACT These algorithms could improve efficiency in AI applications like meta-learning and neural architecture search.

RANK_REASON The cluster contains a research paper detailing new algorithms for a specific optimization problem. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New algorithms tackle nonconvex multi-objective bilevel optimization

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The cluster contains a research paper detailing new algorithms for a specific optimization problem. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yicong Jiang, Feihu Huang ·

    Efficient Hessian-Free Methods for Multi-Objective Bilevel Optimization with Nonconvex Lower Level

    arXiv:2608.12704v1 Announce Type: cross Abstract: Multi-objective bilevel optimization has wide applications in the AI area such as automated learning and multi-task meta-learning. Although recently some works have been begun to study the multi-objective bilevel optimization, the…