机器学习下的各种norm到底是个什么东西？ - 知乎
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L_{2} norm 对于向量的每一个元素是一个光滑函数，这一特性使得用 L_{2} norm 定义的目标函数更便于优化，比如可以使用拉格朗日对偶性进行转化等。 L_{\infty} norm 由于是向量元素中绝对值最大的，在某些学习问题中对参数进行正则化时使得限制条件相比其他 norm 更有意义。
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