From ef27de6b10f8f24a792ef72c937712c09316f026 Mon Sep 17 00:00:00 2001 From: mikechengwei <842725815@qq.com> Date: Sun, 24 Sep 2017 18:30:20 +0800 Subject: [PATCH] submit fd-growth --- .../12.使用FP-growth算法来高效发现频繁项集.md | 110 ++++++++++++++---- .../apachecn_fd_growth_homepage.png | Bin 0 -> 1474748 bytes images/12.Fd-growth/步骤1-3.png | Bin 0 -> 72185 bytes images/12.Fd-growth/步骤4-5.png | Bin 0 -> 42368 bytes images/12.Fd-growth/步骤6-1.png | Bin 0 -> 136601 bytes images/12.Fd-growth/步骤6-2.png | Bin 0 -> 117361 bytes images/12.Fd-growth/步骤7-1.png | Bin 0 -> 70527 bytes images/12.Fd-growth/步骤7-2.png | Bin 0 -> 40617 bytes 8 files changed, 88 insertions(+), 22 deletions(-) create mode 100644 images/12.Fd-growth/apachecn_fd_growth_homepage.png create mode 100644 images/12.Fd-growth/步骤1-3.png create mode 100644 images/12.Fd-growth/步骤4-5.png create mode 100644 images/12.Fd-growth/步骤6-1.png create mode 100644 images/12.Fd-growth/步骤6-2.png create mode 100644 images/12.Fd-growth/步骤7-1.png create mode 100644 images/12.Fd-growth/步骤7-2.png diff --git a/docs/12.使用FP-growth算法来高效发现频繁项集.md b/docs/12.使用FP-growth算法来高效发现频繁项集.md index 5e54f29c..ac949ee8 100644 --- a/docs/12.使用FP-growth算法来高效发现频繁项集.md +++ b/docs/12.使用FP-growth算法来高效发现频繁项集.md @@ -1,34 +1,100 @@ -# 12) 使用FP-growth算法来高效发现频繁项集 +# 第12章 使用FP-growth算法来高效发现频繁项集 -## 基本过程 +![](../images/12.Fd-growth/apachecn_fd_growth_homepage.png) -- 构建FP树 - * 对原始数据集扫描两遍 - * 第一遍对所有元素项遍历,并记下出现次数。 - * 第二遍只扫描频繁元素。 -- 从FP树种挖掘频繁项集 +### 第11章 我们已经介绍了用Apriori算法发现频繁项集与关联规则,本章将继续关注发现频繁项集这一任务,并使用FP-growth算法更有效的挖掘频繁项集。 -## FP树介绍 -* FP-growth算法是将数据存储在一种称为FP树的紧凑的数据结构中,FP代表频繁模式(Frequent Pattem)每个项集以路径的方式存储在树中。 -* 包含:项集【集合中的单个元素+出现次数+父节点】 -* 与其他树结构相比 - * 它通过链接(link)来连接相似元素,被连起来的元素项可以看成一个链表。 - * 一个元素项可以出现多次 - * 相似项之间的链接即`节点链接`(node link), 用于快速发现相似项的位置。 -* 这种算法虽然能更高效的发现频繁子项,但是却不能用于发现关联规则。 +## FP-growth 算法简介 -## FP-growth算法 特点 -* 优点: 一般要快于Apriori。(通常性能要好两个数量级以上) -* 缺点: 实现比较困难,在某些数据集上性能会下降。 +* 一种非常好的发现频繁项集算法。 +* 基于Apriori算法构建,但是数据结构不同,使用叫做 FP树 的数据结构结构来存储集合。下面我们会介绍这种数据结构。 + +## FP-growth 算法步骤 +- 基于数据构建FP树 +- 从FP树种挖掘频繁项集 + +## FP树 介绍 +* FP树的节点结构如下: + +```python +class treeNode: + def __init__(self, nameValue, numOccur, parentNode): + self.name = nameValue # 节点名称 + self.count = numOccur # 节点出现次数 + self.nodeLink = None # 不同项集的相同项通过nodeLink连接在一起 + # needs to be updated + self.parent = parentNode # 节点的父节点 + self.children = {} # 存储儿子节点 +``` + +## FP-growth 原理 +基于数据构建FP树 + +步骤1: + 1. 遍历所有的数据集合,计算所有项的支持度。 + 2. 丢弃非频繁的项。 + 3. 基于 支持度 降序排序所有的项。 + ![](../images/12.Fd-growth/步骤1-3.png) + 4. 所有数据集合按照得到的顺序重新整理。 + 5. 重新整理完成后,丢弃每个集合末尾非频繁的项。 + ![](../images/12.Fd-growth/步骤4-5.png) + +步骤2: + 6. 读取每个集合插入FP树中,同时用一个头部链表数据结构维护不同集合的相同项。 + ![](../images/12.Fd-growth/步骤6-1.png) + 最终得到下面这样一棵FD树 + ![](../images/12.Fd-growth/步骤6-2.png) + + +从FP树中挖掘出频繁项集 + +步骤3: + 1. 对头部链表进行降序排序 + 2. 对头部链表节点从小到大遍历,得到条件模式基,同时获得一个频繁项集。 + ![](../images/12.Fd-growth/步骤6-2.png) + 如上图,从头部链表 t 节点开始遍历,t 节点加入到频繁项集。找到以 t 节点为结尾的路径如下: + ![](../images/12.Fd-growth/步骤7-1.png) + 去掉FD树中的t节点,得到条件模式基<左边路径,左边是值>[z,x,y,s,t]:2,[z,x,y,r,t]:1 。条件模式基的值取决于末尾节点 t ,因为 t 的出现次数最小,一个频繁项集的支持度由支持度最小的项决定。所以 t 节点的条件模式基的值可以理解为对于以 t 节点为末尾的前缀路径出现次数。 + + 3. 条件模式基继续构造条件 FD树, 得到频繁项集,和之前的频繁项组合起来,这是一个递归遍历头部链表生成FD树的过程,递归截止条件是生成的FD树的头部链表为空。 + 根据步骤 2 得到的条件模式基 [z,x,y,s,t]:2,[z,x,y,r,t]:1 作为数据集继续构造出一棵FD树,计算支持度,去除非频繁项,集合按照支持度降序排序,重复上面构造FD树的步骤。最后得到下面 t-条件FD树 : + ![](../images/12.Fd-growth/步骤7-2.png) + 然后根据 t-条件FD树 的头部链表进行遍历,从 y 开始。得到频繁项集 ty 。然后又得到 y 的条件模式基,构造出 ty的条件FD树,即 ty-条件FD树。继续遍历ty-条件FD树的头部链表,得到频繁项集 tyx,然后又得到频繁项集 tyxz. 然后得到构造tyxz-条件FD树的头部链表是空的,终止遍历。我们得到的频繁项集有 t->ty->tyz->tyzx,这只是一小部分。 + * 条件模式基:头部链表中的某一点的前缀路径组合就是条件模式基,条件模式基的值取决于末尾节点的值。 + * 条件FD树:以条件模式基为数据集构造的FD树叫做条件FD树。 + +FP-growth 算法优缺点: + +``` +* 优点: 1. 因为 FP-growth 算法只需要对数据集遍历两次,所以速度更快。 + 2. FP树将集合按照支持度降序排序,不同路径如果有相同前缀路径共用存储空间,使得数据得到了压缩。 + 3. 不需要生成候选集。 + 4. 比Apriori更快。 +* 缺点: 1. FP-Tree第二次遍历会存储很多中间过程的值,会占用很多内存。 + 2. 构建FP-Tree是比较昂贵的。 * 适用数据类型:标称型数据(离散型数据)。 +``` + + +## FP-growth 代码讲解 +完整代码地址: + +main 方法大致步骤: +```python +if __name__ == "__main__": + simpDat = loadSimpDat() #加载数据集。 + initSet = createInitSet(simpDat) #对数据集进行整理,相同集合进行合并。 + myFPtree, myHeaderTab = createTree(initSet, 3)#创建FP树。 + freqItemList = [] + mineTree(myFPtree, myHeaderTab, 3, set([]), freqItemList) #递归的从FP树中挖掘出频繁项集。 + print freqItemList + ``` +大家看懂原理,再仔细跟踪一下代码。基本就没有问题了。 -## 项目实战 -* 1.从Twitter文本流中挖掘常用词。 -* 2.从网民页面浏览行为中挖掘常见模式。 * * * -* **作者:[片刻](http://www.apache.wiki/display/~jiangzhonglian)** +* **作者:[mikechengwei](https://github.com/mikechengwei)** * [GitHub地址](https://github.com/apachecn/MachineLearning): * **版权声明:欢迎转载学习 => 请标注信息来源于 [ApacheCN](http://www.apachecn.org/)** diff --git a/images/12.Fd-growth/apachecn_fd_growth_homepage.png b/images/12.Fd-growth/apachecn_fd_growth_homepage.png new file mode 100644 index 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