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Evidence record 4684 · automatically gathered

Core-Halo Decomposition: Decentralizing Large-Scale Fixed-Point Problems

We study solving large-scale fixed-point equation \(x^\star=\bar F(x^\star)\) with decomposition. Standard strict decomposition assigns each agent a disjoint block and evaluates updates using only owned coordinates. For most operators, however, a block update may depend on variables outside the block. Truncating these dependencies by strict decomposition changes the mean operator and creates structural bias that cannot be removed by more samples, smaller stepsizes, or additional consensus. We th

Record details

Published: 9 May 2026
Source: arXiv
Category: Research
Topics: Bias & fairness · Agents & autonomy
Retrieved: 14 July 2026

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How to cite this record

ethics.ai (9 May 2026), “Core-Halo Decomposition: Decentralizing Large-Scale Fixed-Point Problems,” evidence record 4684, https://ethics.ai/record/4684 (originally published by arXiv).

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