Transformers applied to measure-to-measure regression problems

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-28 04:00

研究人员提出了一种新颖的度量到度量（M2M）回归方法，该问题涉及预测种群在未知变换下的演变。该方法将整个分布视为数据点，这对于生物学等领域中细胞集体演变的应用至关重要。新技术利用 transformer，既作为静态映射，也作为动态速度场，来学习概率分布上的非线性 M2M 关系。在合成数据、粒子系统和结直肠癌治疗反应数据集上的实验证明了该方法泛化到新度量的有效性。 AI

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Transformers applied to measure-to-measure regression problems

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arXiv cs.LG TIER_1 English(EN) · Matthew Vandergrift, Martha White, Yury Polyanskiy, Philippe Rigollet, Lazar Atanackovic · 2026-05-28 04:00

Measure-to-measure Regression with Transformers

arXiv:2605.28075v1 Announce Type: new Abstract: Many learning problems require predicting how populations evolve under an unknown transformation. A natural representation for such populations is a probability measure, with point clouds as a key example. In this work, we study the…

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Measure-to-measure Regression with Transformers

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