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Subgaussian Vector Balancing by an Ising Model

Guo, Heng et al.
arXiv (All) · Papers
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data-structures-and-algorithmsprobability
We show that the guaranties of the Gram-Schmidt Walk Algorithm of Bansal, Dadush, Garg, and Lovett can be achieved by an Ising model. Given vectors $v_1, \ldots, v_n$ of norm less than 1, we give a closed form for a centrally symmetric distribution on a vector $σ\in \{\pm 1 \}^n$ so that the signed
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