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New algorithm tackles stochastic fixed-point equations in math research

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a new algorithm to solve stochastic fixed-point equations involving non-expansive maps. This algorithm, based on a recursive anchoring technique, achieves a specific oracle complexity in $\ell_p$-spaces for $p \in [2, \infty]$. The study also establishes a near-matching lower bound for $\ell_{\infty}$-norm instances in high dimensions, applicable to randomized algorithms and settings with sparse noise. AI

RANK_REASON Academic paper published on arXiv detailing a new algorithm for solving mathematical equations. [lever_c_demoted from research: ic=1 ai=0.1]

Read on arXiv stat.ML →

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

New algorithm tackles stochastic fixed-point equations in math research

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Academic paper published on arXiv detailing a new algorithm for solving mathematical equations. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Jelena Diakonikolas, Crist\'obal Guzm\'an, David Mart\'inez-Rubio ·

    Oracle Complexity of Stochastic Fixed-Point Equations with Nonexpansive Maps

    arXiv:2609.09524v1 Announce Type: cross Abstract: We study the oracle complexity of computing a point with small fixed-point residual $\|T(x)-x\| \leq \epsilon$, for a general norm $\|\cdot\|$ and a self-map $T$ of a compact convex set. We study this problem in the setting where …

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