Distance from a point to a hyperplane

I have an n-dimensional hyperplane: w′x+b=0 and a point x0. The shortest distance from this point to a hyperplane is d=|w⋅x0+b|||w||. I have no problem to prove this for 2 and 3 dimension space using algebraic manipulations, but fail to do this for an n-dimensional space. Can someone show a nice explanation for it?

Another proof:

Distance from a point to a hyperplane相关推荐

LIBSVM的FQA
这里是libsvm的FQA : 官网请访问:http://www.csie.ntu.edu.tw/~cjlin/libsvm/faq.html#_TOP LIBSVM FAQ last modifie ...
支持向量机原理_支持向量机
支持向量机原理 Python数据科学 (Python Data Science) The support vector machines (SVM) algorithm has application ...
What is SVM algorithm
文章目录 The prcface Compare Logical Regression Decision tree SVM Analysis Logistic Regression Analysis ...
scikit-learn工具包中分类模型predict_proba、predict、decision_function用法详解
在使用sklearn训练完分类模型后,下一步就是要验证一下模型的预测结果,对于分类模型,sklearn中通常提供了predict_proba.predict.decision_function三种方法 ...
支持向量机回归和支持向量机_详细解释支持向量机
支持向量机回归和支持向量机 Support Vector Machine(SVM) is a supervised machine learning algorithm that is usually ...
2018 Google kickstart Problem A. Planet Distance
题目描述 Small dataset 3 ≤ N ≤ 30. Large dataset 3 ≤ N ≤ 1000.input 2 5 1 2 2 3 3 4 2 4 5 3 3 1 2 3 2 1 ...
字符串编辑距离（Edit Distance）
一.问题描述定义字符串编辑距离(Edit Distance),是俄罗斯科学家 Vladimir Levenshtein 在 1965 年提出的概念,又称 Levenshtein 距离,是指两个字符 ...
Levenshtein distance 编辑距离算法
这几天再看 virtrual-dom,关于两个列表的对比,讲到了 Levenshtein distance 距离,周末抽空做一下总结. Levenshtein Distance 介绍在信息理论和计算 ...
【leetcode】1030. Matrix Cells in Distance Order
题目如下: We are given a matrix with R rows and C columns has cells with integer coordinates (r, c), whe ...
leetcode Edit Distance
作者:jostree 转载请注明出处 http://www.cnblogs.com/jostree/p/4051082.html 题目链接:leetcode Edit Distance 最短编辑距离, ...

Distance from a point to a hyperplane

Distance from a point to a hyperplane相关推荐

最新文章

热门文章