TF-IDF（转）

From：http://www.cnblogs.com/ywl925/archive/2013/08/26/3275878.html

TF-IDF

前言

前段时间，又具体看了自己以前整理的TF-IDF，这里把它发布在博客上，知识就是需要不断的重复的，否则就感觉生疏了。

TF-IDF理解

TF-IDF（term frequency–inverse document frequency）是一种用于资讯检索与资讯探勘的常用加权技术, TFIDF的主要思想是：如果某个词或短语在一篇文章中出现的频率TF高，并且在其他文章中很少出现，则认为此词或者短语具有很好的类别区分能力，适合用来分类。TFIDF实际上是：TF * IDF，TF词频(Term Frequency)，IDF反文档频率(Inverse Document Frequency)。TF表示词条在文档d中出现的频率。IDF的主要思想是：如果包含词条t的文档越少，也就是n越小，IDF越大，则说明词条t具有很好的类别区分能力。如果某一类文档C中包含词条t的文档数为m，而其它类包含t的文档总数为k，显然所有包含t的文档数n=m + k，当m大的时候，n也大，按照IDF公式得到的IDF的值会小，就说明该词条t类别区分能力不强。但是实际上，如果一个词条在一个类的文档中频繁出现，则说明该词条能够很好代表这个类的文本的特征，这样的词条应该给它们赋予较高的权重，并选来作为该类文本的特征词以区别与其它类文档。这就是IDF的不足之处.

TF公式：

\mathrm{tf_{i,j}} = \frac{n_{i,j}}{\sum_k n_{k,j}}      

以上式子中 n_{i,j} 是该词在文件d_{j}中的出现次数，而分母则是在文件d_{j}中所有字词的出现次数之和。

IDF公式：

\mathrm{idf_{i}} =  \log \frac{|D|}{|\{j: t_{i} \in d_{j}\}|} 

|D|：语料库中的文件总数
|\{ j: t_{i} \in d_{j}\}| ：包含词语 t_{i} 的文件数目（即 n_{i,j} \neq 0的文件数目）如果该词语不在语料库中，就会导致被除数为零，因此一般情况下使用1 + |\{j : t_{i} \in d_{j}\}|
然后
\mathrm{tf{}idf_{i,j}} = \mathrm{tf_{i,j}} \times  \mathrm{idf_{i}}
TF-IDF案例

案例：假如一篇文件的总词语数是100个，而词语“母牛”出现了3次，那么“母牛”一词在该文件中的词频就是3/100=0.03。一个计算文件频率 (DF) 的方法是测定有多少份文件出现过“母牛”一词，然后除以文件集里包含的文件总数。所以，如果“母牛”一词在1,000份文件出现过，而文件总数是10,000,000份的话，其逆向文件频率就是 lg(10,000,000 / 1,000)=4。最后的TF-IDF的分数为0.03 * 4=0.12。

TF-IDF实现（Java）

这里采用了外部插件IKAnalyzer-2012.jar，用其进行分词，插件和测试文件可以从这里下载：点击

具体代码如下：

复制代码
package tfidf;

import java.io.*;
import java.util.*;

import org.wltea.analyzer.lucene.IKAnalyzer;

public class ReadFiles {

    /**
     * @param args
     */   
    private static ArrayList<String> FileList = new ArrayList<String>(); // the list of file

    //get list of file for the directory, including sub-directory of it
    public static List<String> readDirs(String filepath) throws FileNotFoundException, IOException
    {
        try
        {
            File file = new File(filepath);
            if(!file.isDirectory())
            {
                System.out.println("输入的[]");
                System.out.println("filepath:" + file.getAbsolutePath());
            }
            else
            {
                String[] flist = file.list();
                for(int i = 0; i < flist.length; i++)
                {
                    File newfile = new File(filepath + "\\" + flist[i]);
                    if(!newfile.isDirectory())
                    {
                        FileList.add(newfile.getAbsolutePath());
                    }
                    else if(newfile.isDirectory()) //if file is a directory, call ReadDirs
                    {
                        readDirs(filepath + "\\" + flist[i]);
                    }                   
                }
            }
        }catch(FileNotFoundException e)
        {
            System.out.println(e.getMessage());
        }
        return FileList;
    }
   
    //read file
    public static String readFile(String file) throws FileNotFoundException, IOException
    {
        StringBuffer strSb = new StringBuffer(); //String is constant， StringBuffer can be changed.
        InputStreamReader inStrR = new InputStreamReader(new FileInputStream(file), "gbk"); //byte streams to character streams
        BufferedReader br = new BufferedReader(inStrR);
        String line = br.readLine();
        while(line != null){
            strSb.append(line).append("\r\n");
            line = br.readLine();   
        }
       
        return strSb.toString();
    }
   
    //word segmentation
    public static ArrayList<String> cutWords(String file) throws IOException{
       
        ArrayList<String> words = new ArrayList<String>();
        String text = ReadFiles.readFile(file);
        IKAnalyzer analyzer = new IKAnalyzer();
        words = analyzer.split(text);
       
        return words;
    }
   
    //term frequency in a file, times for each word
    public static HashMap<String, Integer> normalTF(ArrayList<String> cutwords){
        HashMap<String, Integer> resTF = new HashMap<String, Integer>();
       
        for(String word : cutwords){
            if(resTF.get(word) == null){
                resTF.put(word, 1);
                System.out.println(word);
            }
            else{
                resTF.put(word, resTF.get(word) + 1);
                System.out.println(word.toString());
            }
        }
        return resTF;
    }
   
    //term frequency in a file, frequency of each word
    public static HashMap<String, Float> tf(ArrayList<String> cutwords){
        HashMap<String, Float> resTF = new HashMap<String, Float>();
       
        int wordLen = cutwords.size();
        HashMap<String, Integer> intTF = ReadFiles.normalTF(cutwords);
       
        Iterator iter = intTF.entrySet().iterator(); //iterator for that get from TF
        while(iter.hasNext()){
            Map.Entry entry = (Map.Entry)iter.next();
            resTF.put(entry.getKey().toString(), Float.parseFloat(entry.getValue().toString()) / wordLen);
            System.out.println(entry.getKey().toString() + " = "+  Float.parseFloat(entry.getValue().toString()) / wordLen);
        }
        return resTF;
    }
   
    //tf times for file
    public static HashMap<String, HashMap<String, Integer>> normalTFAllFiles(String dirc) throws IOException{
        HashMap<String, HashMap<String, Integer>> allNormalTF = new HashMap<String, HashMap<String,Integer>>();
       
        List<String> filelist = ReadFiles.readDirs(dirc);
        for(String file : filelist){
            HashMap<String, Integer> dict = new HashMap<String, Integer>();
            ArrayList<String> cutwords = ReadFiles.cutWords(file); //get cut word for one file
           
            dict = ReadFiles.normalTF(cutwords);
            allNormalTF.put(file, dict);
        }   
        return allNormalTF;
    }
   
    //tf for all file
    public static HashMap<String,HashMap<String, Float>> tfAllFiles(String dirc) throws IOException{
        HashMap<String, HashMap<String, Float>> allTF = new HashMap<String, HashMap<String, Float>>();
        List<String> filelist = ReadFiles.readDirs(dirc);
       
        for(String file : filelist){
            HashMap<String, Float> dict = new HashMap<String, Float>();
            ArrayList<String> cutwords = ReadFiles.cutWords(file); //get cut words for one file
           
            dict = ReadFiles.tf(cutwords);
            allTF.put(file, dict);
        }
        return allTF;
    }
    public static HashMap<String, Float> idf(HashMap<String,HashMap<String, Float>> all_tf){
        HashMap<String, Float> resIdf = new HashMap<String, Float>();
        HashMap<String, Integer> dict = new HashMap<String, Integer>();
        int docNum = FileList.size();
       
        for(int i = 0; i < docNum; i++){
            HashMap<String, Float> temp = all_tf.get(FileList.get(i));
            Iterator iter = temp.entrySet().iterator();
            while(iter.hasNext()){
                Map.Entry entry = (Map.Entry)iter.next();
                String word = entry.getKey().toString();
                if(dict.get(word) == null){
                    dict.put(word, 1);
                }else {
                    dict.put(word, dict.get(word) + 1);
                }
            }
        }
        System.out.println("IDF for every word is:");
        Iterator iter_dict = dict.entrySet().iterator();
        while(iter_dict.hasNext()){
            Map.Entry entry = (Map.Entry)iter_dict.next();
            float value = (float)Math.log(docNum / Float.parseFloat(entry.getValue().toString()));
            resIdf.put(entry.getKey().toString(), value);
            System.out.println(entry.getKey().toString() + " = " + value);
        }
        return resIdf;
    }
    public static void tf_idf(HashMap<String,HashMap<String, Float>> all_tf,HashMap<String, Float> idfs){
        HashMap<String, HashMap<String, Float>> resTfIdf = new HashMap<String, HashMap<String, Float>>();
           
        int docNum = FileList.size();
        for(int i = 0; i < docNum; i++){
            String filepath = FileList.get(i);
            HashMap<String, Float> tfidf = new HashMap<String, Float>();
            HashMap<String, Float> temp = all_tf.get(filepath);
            Iterator iter = temp.entrySet().iterator();
            while(iter.hasNext()){
                Map.Entry entry = (Map.Entry)iter.next();
                String word = entry.getKey().toString();
                Float value = (float)Float.parseFloat(entry.getValue().toString()) * idfs.get(word);
                tfidf.put(word, value);
            }
            resTfIdf.put(filepath, tfidf);
        }
        System.out.println("TF-IDF for Every file is :");
        DisTfIdf(resTfIdf);
    }
    public static void DisTfIdf(HashMap<String, HashMap<String, Float>> tfidf){
        Iterator iter1 = tfidf.entrySet().iterator();
        while(iter1.hasNext()){
            Map.Entry entrys = (Map.Entry)iter1.next();
            System.out.println("FileName: " + entrys.getKey().toString());
            System.out.print("{");
            HashMap<String, Float> temp = (HashMap<String, Float>) entrys.getValue();
            Iterator iter2 = temp.entrySet().iterator();
            while(iter2.hasNext()){
                Map.Entry entry = (Map.Entry)iter2.next();
                System.out.print(entry.getKey().toString() + " = " + entry.getValue().toString() + ", ");
            }
            System.out.println("}");
        }
       
    }
    public static void main(String[] args) throws IOException {
        // TODO Auto-generated method stub
        String file = "D:/testfiles";

        HashMap<String,HashMap<String, Float>> all_tf = tfAllFiles(file);
        System.out.println();
        HashMap<String, Float> idfs = idf(all_tf);
        System.out.println();
        tf_idf(all_tf, idfs);
       
    }

}