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Nov, 2023
神经格约化:一种自监督几何深度学习方法
Neural Lattice Reduction: A Self-Supervised Geometric Deep Learning Approach
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Giovanni Luca Marchetti, Gabriele Cesa, Kumar Pratik, Arash Behboodi
TL;DR
本研究使用深度学习方法解决格约简问题,通过设计一个深度神经模型输出因式分解的单模数矩阵,并通过自监督训练惩罚非正交格基来实现。同时,通过使模型对适当的连续和离散群具有不变性和等变性,将格约简的对称性纳入模型中。
Abstract
lattice reduction
is a combinatorial optimization problem aimed at finding the most orthogonal basis in a given lattice. In this work, we address
lattice reduction
via
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