English(EN) MVNN: A Measure-Valued Neural Network for Learning McKean-Vlasov Dynamics from Particle Data

测度值神经网络从粒子数据中学习相互作用动力学

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-12 04:00

研究人员推出了一种新颖的测度值神经网络MVNN，旨在从粒子轨迹数据中学习复杂的相互作用力。该架构通过学习圆柱特征在概率测度上运行，使其能够推断依赖于测度的相互作用项。该网络在各种确定性和随机系统（包括群体和聚集模型）中展示了准确的预测能力和强大的泛化能力。 AI

影响引入了一种从观测数据中学习复杂系统动力学的新方法，有望推动机器人学和计算生物学等领域的研究。

排序理由该集群包含一篇学术论文，详细介绍了新的神经网络架构及其理论基础和实验验证。[lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Liyao Lyu, Xinyue Yu, Hayden Schaeffer · 2026-10-12 04:00

MVNN：一种用于从粒子数据中学习McKean-Vlasov动力学的测度值神经网络

arXiv:2604.00333v3 Announce Type: replace-cross Abstract: Collective behaviors that emerge from interactions are fundamental to numerous biological systems. To learn such interacting forces from observations, we introduce a measure-valued neural network that infers measure-depend…