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Paper · arXiv

Learning SOCP Solver Dynamics with Graph Neural Networks

Second-order cone programs (SOCPs) are a fundamental class of convex optimization problems widely applied across engineering domains. Classical interior-point methods are robust and accurate, but their iterative nature can be costly in real-time or repeated-solve settings. This has motivated learning-based solvers that approximate optimizer solutions with neural networks. Recent work has increasingly studied graph neural networks (GNNs) for linear, quadratic, and second-order cone optimization, leveraging their ability to model sparse relational structure among variables, constraints, and objective functions. Most existing GNN-based solvers compress the optimization process into a single ...

AuthorsAdam Ghalem, Lou Salaün, Davide Rinaldi et al.
Primary categorycs.LG
Published19 October 2026
Last updated at source19 October 2026
cs.LG
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