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Feb, 2024
学习半线性神经算子: 一种统一递归框架用于预测和数据同化
Learning Semilinear Neural Operators : A Unified Recursive Framework For Prediction And Data Assimilation
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Ashutosh Singh, Ricardo Augusto Borsoi, Deniz Erdogmus, Tales Imbiriba
TL;DR
使用基于学习的状态空间方法计算无限维半线性PDE的解算符,结合预测和修正操作,该方法能够在长时间范围内进行快速准确的预测并根据稀疏采样的噪声测量修正解算结果。
Abstract
Recent advances in the theory of
neural operators
(NOs) have enabled fast and accurate computation of the solutions to complex systems described by partial differential equations (
pdes
). Despite their great succe
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