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New dual-space preconditioning framework for variational inequalities

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Researchers have introduced a new dual-space preconditioning framework designed to enhance the analysis and design of methods for solving variational inequalities and root-finding problems. This framework extends beyond traditional cocoercivity and Lipschitz continuity assumptions by proposing novel, generalized conditions. The developed algorithms can be viewed as variable-stepsize variations of existing methods, offering simpler proofs and broader stepsize ranges, and also handle variational inequalities through weak Minty-type arguments. AI

RANK_REASON The cluster contains a research paper published on arXiv detailing a new mathematical framework. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

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New dual-space preconditioning framework for variational inequalities

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The cluster contains a research paper published on arXiv detailing a new mathematical framework. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jan Quan, Konstantinos Oikonomidis, Alexander Bodard, Panagiotis Patrinos ·

    Dual-Space Preconditioning for Variational Inequalities and Root-Finding Problems

    arXiv:2611.13916v1 Announce Type: cross Abstract: This paper develops a dual-space preconditioning framework for variational inequalities and root-finding problems beyond classical cocoercivity and Lipschitz continuity assumptions. To this end, we introduce both a novel cocoerciv…

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