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English(EN) Computing the Integral R2 Indicator by Perspective Mapping and Box Decomposition

新方法使用盒子分解计算积分R2指标

作者 PulseAugur 编辑部 · [3 个来源] ·

研究人员开发了一种计算连续积分R2指标的新方法，这是经典R2指标在多目标优化和数据库选择中的一种改进。该技术采用透视映射将R2计算转化为在锚定轴对齐盒子并集上的积分。该方法通过调整现有超体积算法以计算加权盒子积分，从而允许重用它们，提供了O(2^N M)的输出敏感开销，其中N为目标数量，M为盒子分解数量。计算复杂度随目标数量而变化，对于N=2,3为O(n log n)，对于N=4为O(n^2)，而对于可变数量的目标，精确计算是#P-hard的。 AI

影响 引入了一种适用于多目标优化问题的新颖计算技术。

排序理由 详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]

在 arXiv cs.NE (Neural & Evolutionary) 阅读 →

AI 生成摘要 · Google Gemini · 来自 3 个来源。 我们如何撰写摘要 →

新方法使用盒子分解计算积分R2指标

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详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [3]

  1. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Michael T. M. Emmerich ·

    通过透视映射和盒子分解计算R2积分指示器

    The continuous integral R2 indicator is a Pareto-compliant refinement of the classical finite-weight-vector R2 indicator, used in performance assessment, bounded archiving for a-posteriori multi-objective optimization, and skyline selection in databases. This work introduces a bi…

  2. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Michael T. M. Emmerich ·

    通过透视映射和盒子分解计算R2积分指示器

    The continuous integral R2 indicator is a Pareto-compliant refinement of the classical finite-weight-vector R2 indicator, used in performance assessment, bounded archiving for a-posteriori multi-objective optimization, and skyline selection in databases. This work introduces a bi…

  3. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Michael T. M. Emmerich ·

    通过透视映射和盒子分解计算R2积分指示器

    The continuous integral R2 indicator is a Pareto-compliant refinement of the classical finite-weight-vector R2 indicator, used in performance assessment, bounded archiving for a-posteriori multi-objective optimization, and skyline selection in databases. This work introduces a bi…

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