论文标题
MLP查找功能极端
MLPs to Find Extrema of Functionals
论文作者
论文摘要
多层PESCEPTRON（MLP）是由多个感知器组成的网络，它本质上是数学函数。基于MLP，我们开发了一种新的数值方法来找到功能的极端。作为示范，我们在三个物理场景中介绍解决方案。理想情况下，相同的方法适用于任何可以通过二阶可区分函数拟合客观曲线/表面的情况。该方法也可以扩展到有限数量的非差异（但连续）点/表面的情况。
Multilayer perceptron (MLP) is a class of networks composed of multiple layers of perceptrons, and it is essentially a mathematical function. Based on MLP, we develop a new numerical method to find the extrema of functionals. As demonstrations, we present our solutions in three physic scenes. Ideally, the same method is applicable to any cases where the objective curve/surface can be fitted by second-order differentiable functions. This method can also be extended to cases where there are a finite number of non-differentiable (but continuous) points/surfaces.
