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AI discovers superior lattice reduction strategies, outperforming LLL algorithm

Researchers have developed a new method using deep reinforcement learning to discover superior strategies for the Lenstra-Lenstra-Lovász (LLL) algorithm, a fundamental tool in computer science for lattice basis reduction. By framing lattice reduction as a Markov Decision Process and employing an AlphaZero-style self-play pipeline with Monte Carlo Tree Search, they trained a policy named DeltaStar. This new strategy, developed using small-dimensional lattices, requires fewer operations than the traditional LLL algorithm and demonstrates zero-shot generalization to higher dimensions and unseen moduli without retraining. AI

IMPACT This research could lead to more efficient algorithms in cryptography and other fields relying on lattice reduction.

RANK_REASON The cluster describes a new research paper published on arXiv detailing a novel AI-driven method for discovering improved algorithms.

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AI discovers superior lattice reduction strategies, outperforming LLL algorithm

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…