利用神经网络模型算法求解最速降线研究RESEARCH ON SOLVING THE BRACHISTOCHRONE PROBLEM USING NEURAL NETWORK MODEL ALGORITHM
贾小文,范海英
摘要(Abstract):
分析了神经网络模型求解最速降线问题的基本算法思路,利用TensorFowl深度学习框架的神经网络模块对最速降线问题进行了数值求解,给出了具体求解步骤,并讨论了神经网络超参数对求解结果的影响。与传统神经网络应用不同,研究了神经网络模型在变分函数拟合中的应用,为将神经网络等AI大模型技术应用于大学物理及实验教学和研究提供参考和借鉴。
关键词(KeyWords): 神经网络;最速降线;TensorFowl
基金项目(Foundation):
作者(Author): 贾小文,范海英
DOI: 10.27024/j.wlygc.2025.10.09.03
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