Web Reference: 我会使用尽量少的数学符号描述 梯度， 着重于意义而非计算。一个直观的例子，在机器学习领域有个术语叫「梯度下降」，你可以想象在群山之中，某个山的半山腰有只小兔子打算使用梯度下降的思路去往这片群山最深的山谷里找水喝。 我们用 变化率 来描述下山时各个方向的山路有多陡峭，往下 ... 为了降低随机梯度的方差，从而使得迭代算法更加稳定，也为了充分利用高度优化的矩阵运算操作，在实际应用中我们会同时处理若干训练数据，该方法被称为小批量梯度下降法 (Mini- Batch Gradient Descent)。 假设需要同时处理m个训练数据 则目标函数及其梯度为 这篇回答节选自我的专栏 《机器学习中的数学：微积分与最优化》，和大家一起谈谈方向导数和梯度。 欢迎关注我的知乎账号 @石溪 ，将持续发布机器学习数学基础及算法应用等方面的精彩内容。 1.多元函数偏导数的数值解 在程序当中，利用数值方法求出各个自变量偏导数的近似解，其方法和步骤 ...
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