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AI discovers superior lattice reduction strategies via self-play

Researchers have developed a novel approach to lattice reduction strategies by employing deep reinforcement learning, specifically an AlphaZero-style self-play pipeline with Monte Carlo Tree Search. This method trains a deep residual network to discover strategies that outperform the traditional Lenstra-Lenstra-Lovász (LLL) algorithm. The resulting policy, DeltaStar, trained on small lattices, demonstrates generalization to higher dimensions and unseen moduli without retraining. AI

IMPACT AI-driven discovery of superior mathematical algorithms could accelerate progress in fields reliant on complex computations.

RANK_REASON The cluster describes a research paper published on arXiv detailing a new AI-driven method for discovering lattice reduction strategies. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Mohamed Malhou, Kristin Lauter, Ludovic Perret ·

    Discovering Lattice Reduction Strategies via Self-Play

    arXiv:2606.15301v1 Announce Type: cross Abstract: The Lenstra-Lenstra-Lov\'asz (LLL) algorithm is a seminal contribution to computer science used for lattice basis reduction, yet its polynomial-time outputs produce bases that are far from optimal as the dimension grows. We show t…