距离度量

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距离度量

描述

不同的距离度量对于不同类型的分析是方便的。Flink ML为许多标准的距离度量提供了内置实现。您可以通过实现’DistanceMetric’特性来创建自定义的距离度量。

内置实现

当前FlinkML支持如下指标

度量	描述
Euclidean Distance	$$d(\x, \y) = \sqrt{\sum_{i=1}^n \left(x_i - y_i \right)^2}$$
Squared Euclidean Distance	$$d(\x, \y) = \sum_{i=1}^n \left(x_i - y_i \right)^2$$
Cosine Similarity	$$d(\x, \y) = 1 - \frac{\x^T \y}{\Vert \x \Vert \Vert \y \Vert}$$
Chebyshev Distance	$$d(\x, \y) = \max_{i}\left(\left \vert x_i - y_i \right\vert \right)$$
Manhattan Distance	$$d(\x, \y) = \sum_{i=1}^n \left\vert x_i - y_i \right\vert$$
Minkowski Distance	$$d(\x, \y) = \left( \sum_{i=1}^{n} \left( x_i - y_i \right)^p \right)^{\rfrac{1}{p}}$$
Tanimoto Distance	$$d(\x, \y) = 1 - \frac{\x^T\y}{\Vert \x \Vert^2 + \Vert \y \Vert^2 - \x^T\y}$$ with $\x$ and $\y$ being bit-vectors

自定义实现

您可以通过实现’DistanceMetric’特性来创建自己的距离度量。

class MyDistance extends DistanceMetric {
  override def distance(a: Vector, b: Vector) = ... // your implementation for distance metric }
object MyDistance {
  def apply() = new MyDistance()
}
val myMetric = MyDistance()