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New algorithm offers quasipolynomial time solution for $\ell_\infty$ contractions

A new algorithm has been developed to compute an approximate fixed point for nonexpansions in $\ell_\infty$ norm. This algorithm achieves a runtime of $\log(1/\eps)^{O(\log^2 d)}$, which has implications for solving simple stochastic games in quasipolynomial time. The research leverages a boosting argument to progressively reduce a search region. AI

IMPACT This research may advance theoretical understanding applicable to AI algorithms, particularly in areas like game theory and optimization.

RANK_REASON The cluster contains a single academic paper detailing a new algorithm. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New algorithm offers quasipolynomial time solution for $\ell_\infty$ contractions

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The cluster contains a single academic paper detailing a new algorithm. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Ashkan Soleymani, Gabriele Farina ·

    A Quasipolynomial Algorithm for $\ell_\infty$ Contractions

    arXiv:2610.30122v1 Announce Type: cross Abstract: We give an algorithm for computing an $\eps$-approximate fixed point of any $d$-dimensional nonexpansion with respect to the $\ell_\infty$ norm in time $\log(1/\eps)^{O(\log^2 d)}$. At its core, our method uses a boosting argument…