Computing a Fixed Point of Contraction Maps in Polynomial Queries

We give an algorithm for finding an ε-fixed point of a contraction map f : [0, 1] k \(\mapsto\) [0, 1] k under the \(\ell _\infty\) -norm with query complexity O ( k log (1/ε).

Authors

Mihalis Yannakakis (ORCID: https://orcid.org/0000-0003-2857-1860)
Xi Chen (ORCID: https://orcid.org/0000-0001-5661-515X)
Yuhao Li (ORCID: https://orcid.org/0000-0001-5281-8742)

Institutions

Columbia University (US)

Publication Details

Journal: Journal of the ACM
Published: 2025-06-17
DOI: https://doi.org/10.1145/3744738
Primary Topic: Data Management and Algorithms
Type: article
Field-Weighted Citation Impact: 0.00

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article

Computing a Fixed Point of Contraction Maps in Polynomial Queries

Mihalis Yannakakis, Xi Chen, Yuhao Li

Jun 17, 2025

Journal of the ACM

Data Management and Algorithms

article

Computing a Fixed Point of Contraction Maps in Polynomial Queries

Mihalis Yannakakis, Xi Chen, Yuhao Li

June 17, 2025article en

Abstract

We give an algorithm for finding an ε-fixed point of a contraction map f : [0, 1] k \(\mapsto\) [0, 1] k under the \(\ell _\infty\) -norm with query complexity O ( k log (1/ε).

Journal of the ACMVol. 72(4)

Columbia University (US)

Openalex Percentile: Top 84%

Data Management and Algorithms

DOI Source OpenAlex

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Computing a Fixed Point of Contraction Maps in Polynomial Queries — Mihalis Yannakakis, Xi Chen, et al. · Journal of the ACM (2025) | TGRS Research Map | TGRS