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新的最优传输方法提高了准确性和可扩展性

研究人员推出了一种新颖的切片正则化最优传输(SROT)公式,该公式将传输计划正则化为平滑的切片最优传输计划,比熵最优传输提供了更准确的近似。一种新的Sinkhorn风格算法能够进行高效计算,并保持了可扩展性。在合成数据和颜色迁移任务上的实验表明,SROT在近似精确最优传输计划方面优于现有方法,并在梯度流分析中具有实用性。 AI

影响 引入了改进的最优传输方法,可能增强机器学习和数据分析中的下游应用。

排序理由 该集群包含两篇arXiv论文,介绍了最优传输的新方法。

在 arXiv stat.ML 阅读 →

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新的最优传输方法提高了准确性和可扩展性

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该集群包含两篇arXiv论文,介绍了最优传输的新方法。
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报道来源 [5]

  1. arXiv stat.ML TIER_1 English(EN) · Khai Nguyen ·

    Sliced-Regularized Optimal Transport

    arXiv:2604.23944v1 Announce Type: new Abstract: We propose a new regularized optimal transport (OT) formulation, termed sliced-regularized optimal transport (SROT). Unlike entropic OT (EOT), which regularizes the transport plan toward an independent coupling, SROT regularizes it …

  2. arXiv stat.ML TIER_1 English(EN) · Yumiharu Nakano ·

    Continuum-marginal optimal transport: a mesh-free kernel method

    arXiv:2604.24226v1 Announce Type: cross Abstract: In this paper we study continuum-marginal optimal transport. Given a time-continuous family of probability marginals, the problem is to recover the minimum-energy velocity field whose flow reproduces every marginal. This problem i…

  3. arXiv stat.ML TIER_1 English(EN) · Yumiharu Nakano ·

    Continuum-marginal optimal transport: a mesh-free kernel method

    In this paper we study continuum-marginal optimal transport. Given a time-continuous family of probability marginals, the problem is to recover the minimum-energy velocity field whose flow reproduces every marginal. This problem is the continuum limit of the classical two-margina…

  4. arXiv stat.ML TIER_1 English(EN) · Khai Nguyen ·

    切片正则化最优传输

    We propose a new regularized optimal transport (OT) formulation, termed sliced-regularized optimal transport (SROT). Unlike entropic OT (EOT), which regularizes the transport plan toward an independent coupling, SROT regularizes it toward a smoothened sliced OT (SOT) plan. To the…

  5. arXiv stat.ML TIER_1 English(EN) · Khai Nguyen ·

    Sliced-Regularized Optimal Transport

    We propose a new regularized optimal transport (OT) formulation, termed sliced-regularized optimal transport (SROT). Unlike entropic OT (EOT), which regularizes the transport plan toward an independent coupling, SROT regularizes it toward a smoothened sliced OT (SOT) plan. To the…