Français(FR) Optimal score function estimation via derivatives constraints

新方法利用导数约束优化得分函数估计 · 跟踪2个来源

作者 PulseAugur 编辑部 · [2 个来源] · 2026-06-17 13:55

研究人员开发了一种使用导数约束的得分函数估计方法，该方法可应用于概率测度推断和基于得分的生成建模。通过将假设空间约束在 Sobolev 球内，该方法旨在防止过拟合并实现 minimax 估计率。该技术有望提高基于得分的生成模型的输出质量。 AI

影响这项研究可能带来更高效、更有效的基于得分的生成模型。

排序理由该集群包含一篇关于统计机器学习主题的预印本学术论文。

AI 生成摘要 · Google Gemini · 来自 2 个来源。我们如何撰写摘要 →

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arXiv stat.ML TIER_1 Français(FR) · Thomas Bonis, Thanh Mai Pham Ngoc, Viet Chi Tran · 2026-06-18 04:00

通过导数约束的最优评分函数估计

arXiv:2606.19084v1 Announce Type: cross Abstract: We consider the problem of score function estimation via empirical risk minimization. We first start with the question of inferring the score function of a probability measure $\mu$ with density on the flat torus from a sample of …
arXiv stat.ML TIER_1 Français(FR) · Viet Chi Tran · 2026-06-17 13:55

通过导数约束的最优评分函数估计

We consider the problem of score function estimation via empirical risk minimization. We first start with the question of inferring the score function of a probability measure $μ$ with density on the flat torus from a sample of distribution $μ$. We show that constraining the hypo…